Answers
For function f(x)= -4x²-4x-1, f(x+h)= -4x² - 8xh - 4h² - 4x - 4h - 1, (f(x+h) - f(x))/h= -8x - 4h - 4
Describe function ?The input values of a function are called the domain, and the output values are called the range. The domain can be any set of values, but each input value must have a unique corresponding output value. If there are multiple input values that produce the same output value, the function is not considered to be well-defined. Functions are used to model a wide range of phenomena in many different fields, including science, engineering, and economics. They are also used in calculus to study rates of change and slopes of curves.
To find f(x+h), we need to replace x with (x+h) in the given function:
f(x+h) = -4(x+h)² - 4(x+h) - 1
= -4(x² + 2xh + h²) - 4x - 4h - 1
= -4x² - 8xh - 4h² - 4x - 4h - 1
To find (f(x+h) - f(x))/h, we first need to find f(x):
f(x) = -4x² - 4x - 1
Then we can substitute f(x+h) and f(x) in the formula:
(f(x+h) - f(x))/h = (-4x² - 8xh - 4h² - 4x - 4h - 1 - (-4x² - 4x - 1))/h
= (-4x² - 8xh - 4h² - 4x - 4h - 1 + 4x^2 + 4x + 1)/h
= (-8xh - 4h² - 4h)/h
= -8x - 4h - 4
So, f(x+h) = -4x² - 8xh - 4h² - 4x - 4h - 1, and (f(x+h) - f(x))/h = -8x - 4h - 4.
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Related Questions
Can someone answer this just read the picture? Right answers only please!
Answers
To make the profit of $5000, the temperature should be 290 degrees Fahrenheit.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
{m} is the slope of the line.
{c} is the {y} - intercept.
Given is a scatter plot as shown in the image.
We can write the equation of the line of best fit as -
{m} = (400 - 0/(60 - 40)
{m} = 400/20
{m} = 20
We can write the y - intercept as -
y = 20x + c
0 = 800 + c
c = - 800
So, the equation of the line of best fit is -
y = 20x - 800
For {y} = 5000, we can write -
5000 + 800 = 20x
5800 = 20x
x = 5800/20
x = 290
Therefore, to make the profit of $5000, the temperature should be 290 degrees Fahrenheit.
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2nd attempt at getting a pair of tens?
Answers
The probability of getting a pair of 10s is 1/26.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Here,
Total number of outcomes = 52
Number of outcomes = 2
So, the probability is 2/52
= 1/26
Therefore, the probability of getting a pair of 10s is 1/26.
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Plssssss help--- Jordan bought 3 books and Felicia bought 5 books. They spent a total of $60. How much did each book cost if they were all the same price.
Answers
Step-by-step explanation:
$60÷8=$7.50
divide by 8 because 5+3=8
each book should of cost $7.50
10. Jordan went to Europe for vacation. He spent of his time in Spain.
If he was in Spain for 14 days, how long was he in Europe?
Let v represent the number of days he was in Europe.
A v = 14
3
B (14) = v
C v ÷ 14 = ²
Answers
The number of days that he was in Europe will be 42 days.
How to calculate the days spent in SpainA fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since Jordan went to Europe for vacation. He spent 1/3 of his time in Spain.
If he was in Spain for 14 days, the number of days that he was in Europe will be:
1/3 × x = 14
x = (14 × 3)
x = 42 days
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Jordan went to Europe for vacation. He spent 1/3 of his time in Spain. If he was in Spain for 14 days, how long was he in Europe?
true or false, a trapezoid is a quadrilateral with one or more parallel side
Answers
Answer:
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
ALGEBRA 1 HW!! I GIVE BRAINLYEST FOR ANSWERS
Answers
The domain and range of h(n) are the set of whole numbers
The pattern of the infinite sequenceThe domain and the range of h(n)
Given that
The function h(n), represents the count of houses.
Both n and h(n) can take only whole values.
So, we have the domain and range to be the set of whole numbers
Evaluating h(5) and h(11)
The number of houses is the same as the figure number
This means that
h(5) = 5 and h(11) = 11
The explicit function of h(n)
By the computations above, we have the formula of h(n) to be:
h(n) = n
The values of s(4) and s(7)
Given that
The function s(n), represents the count of segments.
Where the segment is twice the figure number
So, we have
s(4) = 8
s(7) = 14
The growth pattern of s(n)
By the statement above, we have the growth pattern to be a proportional equation with a constant rate of change
The explicit function of s(n)
Based on the statements above, we have
s(n) = 2n
The table of the infinite sequenceComplete the table for f(5) and f(7)
From the table, we can see that
As n increases, the value of f(n) is divided by 2 to get the next term
So, we have
f(5) = 2/2 = 1
f(7) = 1/2/2 = 1/4
The domain of f(n)
The possible values of n are real numbers
So, we have
Domain: All set of real numbers
The observation of the function
Above, we have
As n increases, the value of f(n) is divided by 2 to get the next term
This means that
As n gets larger and larger, the value of f(n) get halved
A doubling sequence g(n)The value of g(4)
From the question, we have
First term, a = 9
Common ratio, r = 2
This means that
g(n) = 2(9)^n-1
So, we have
g(4) = 2(9)^3
g(4) = 1458
Completing the statements
Based on the function definitions, the statements when completed are
g(n) = g(n - 1) * 2g(n) = g(n - 2) * 4g(n) = g(n - 3) * 8The value of the ratioRecall that
g(n) = 2(9)^n-1
So, we have
g(24) = 2(9)^23
g(21) = 2(9)^20
Divide the equations
g(24)/g(21) = 729
Hence, the value of the ratio is 729
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40
Kiddie Swings
Must be at most
48 inches
to ride
42
44
46
48
HW: Kiddie Swings
50
52
You must be 48 inches or shorter to ride the kiddie
swings.
Make a graph on the number line to represent the
possible heights for this ride.
Check My Work
Can someone tell me where I can put and plot this
Answers
Number line graph representing the possible heights to ride the kiddie swings is mentioned below.
Describe Number Line?A number line is a visual representation of the real numbers, arranged in a linear sequence from negative infinity to positive infinity. It is a straight line that is divided into segments or intervals, with each interval representing a specific range of numbers.
The number line is typically drawn with zero in the center, and positive numbers to the right of zero and negative numbers to the left. Each point on the number line corresponds to a specific real number, with the distance between adjacent points representing a unit of one.
Sure, here's a number line graph representing the possible heights to ride the kiddie swings, where the y-axis represents the eligibility to ride and the x-axis represents the height in inches:
|__________________|__________________|
0 48
The shaded area on the left side of the number line represents the eligible heights to ride the kiddie swings, which are 48 inches or shorter.
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3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
Answers
Given:-
A prop for threatre is constructed using a cone and a hemisphere.Use π = 3.14To find:-
The volume of the prop .Answer:-
The given figure is made up of a cone and a hemisphere , so to find the total volume , we would find the volume of cone and hemisphere individually and add them up to find the net volume.
Finding volume of cone:
The data we have is ,
Height = 14inches Radius = 9inches .As we know that the volume of cone is given by,
[tex]\implies V =\dfrac{1}{3}\pi r^2 h \\[/tex]
on substituting the respective values,we have;
[tex]\implies V =\dfrac{1}{3}\times 3.14 \times (9in.)^2 \times 14in .\\[/tex]
[tex]\implies V = \dfrac{1}{3}\times 3.14 \times 81in.^2\times 14in. \\[/tex]
[tex]\implies V = 1186.92 \ in.^3 \\[/tex]
Finding the volume of hemisphere:
As we know that the volume of hemisphere is given by;
[tex]\implies V =\dfrac{2}{3}\pi r^3 \\[/tex]
And here ,
r = 9 inches .So that;
[tex]\implies V =\dfrac{2}{3}\times 3.14\times (9\ in.)^3 \\[/tex]
[tex]\implies V =\dfrac{2}{3}\times 3.14\times 729\ in.^3 \\[/tex]
[tex]\implies V = 1526.04 \ in.^3 \\[/tex]
Hence the total volume will be ,
[tex]\implies V_{prop} = (1526.04 + 1186.92 )in.^3\\[/tex]
[tex]\implies V = 2712.96 \ in.^3 \\[/tex]
[tex]\implies \underline{\underline{ V_{prop}= 2713\ in.^3 }} \\[/tex]
Hence the volume of prop is 2713 in.³
and we are done!
Answer:
2713.0 in³ (nearest tenth)
Step-by-step explanation:
To calculate the volume of the prop, sum the volume of the cone and the volume of the half-sphere.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a half-sphere}\\\\$V=\dfrac{2}{3} \pi r^3$ \\\\ where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\\end{minipage}}[/tex]
Therefore, the equation for the volume of the prop is:
[tex]V_{\sf prop}=\dfrac{1}{3} \pi r^2 h+\dfrac{2}{3} \pi r^3[/tex]
From inspection of the given diagram:
r = 9 inh = 14 inπ ≈ 3.14Substitute the values of r, h and π into the equation and solve for V:
[tex]\begin{aligned}\implies V_{\sf prop}&=\dfrac{1}{3} \pi r^2 h+\dfrac{2}{3} \pi r^3\\\\&=\dfrac{1}{3} (9)^2 (14)+\dfrac{2}{3} \pi (9)^3\\\\ &=\dfrac{1}{3} \pi (81) (14)+\dfrac{2}{3} \pi (729)\\\\ &=378 \pi+486 \pi\\\\ &=864 \pi\\\\&=864 \cdot 3.14\\\\&=2712.96\\\\&=2713.0\;\sf in^3\;\;(nearest\;tenth)\end{aligned}[/tex]
Therefore, the volume of the prop is 2,713.0 in³ to the nearest tenth.
EASY MATH POINTS! Answer from the screenshot :)
Answers
The ordered pair that would make the function true is option 4 (-1, -4).
What are ordered pairs?As the name implies, an ordered pair is a set of items where the order in which they are placed is of particular significance. In coordinate geometry, ordered pairs are typically used to represent a point on a coordinate plane. They may also be used to depict aspects of a relationship.
The given equation of the graph is y = -0.25x - 2.
Substituting the coordinates in the options we have:
For (0, - 3):
y = -0.25x - 2
- 3 = -0.25(0) - 2
- 3 = -2 False.
For (4, 3)
y = -0.25x - 2
3 = -0.25(4) - 2
3 = -3 False
For (8, 4):
y = -0.25x - 2
4 = -0.25(8) - 2
4 = - 4
False.
For (-4, -1)
-1 = -0.25(-4) - 2
- 1 = -1
True.
Hence, the ordered pair that would make the function true is option 4 (-1, -4)
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how do I use order of operations
Answers
Answer:
pemdas
Step-by-step explanation:
pemdas means Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction
you always want to go left to right
when using pemdas.
example 4^5 • (9-8)
you start from left to right
we would work in parentheses because that is what pemdas said to do.
d) Como se observa, al igualar las expresiones y resolver la ecuación que resulta, se
obtiene el mismo valor para x indicado en la tabla. ¿Qué pueden decir de este
valor con respecto a la gráfica?
Answers
Answer:
El valor obtenido para x es una solución a la ecuación y, por lo tanto, es un punto en la gráfica de la función. Esto significa que el punto (x,y) en la gráfica se encuentra en la recta que representa la ecuación
Step-by-step explanation:
Write an exponential model given the two points (6,140) and (7,260).
The model is y=___?
Answers
The model of the exponential function is y = 3.40(1.86)^x
How to determine the model of the exponential functionFrom the question, we have the following parameters that can be used in our computation:
(6, 140) and (7, 260)
The exponential function for the model can be expressed as:
y = ab^x
Where
b = 260/140
b = 1.86
So, we have
y = a(1.86)^x
Substitute the known values in the above equation, so, we have the following representation
140 = a(1.86)^6
This gives
a = 140/(1.86)^6
Evaluate
a = 3.40
This means that
y = 3.40(1.86)^x
Hence, the function is y = 3.40(1.86)^x
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Julian is training to make his school's track team. Each week he runs a 400-meter dash and keeps track of his weekly change to monitor his improvement. If Julian's 400-meter dash time was 59 7/10 seconds when he began his training, what was his timed lap after 4 weeks of training? Write your answer as a mixed number in simplest form.
Please helppppppp!!!!
Answers
Julian's timed lap after 4 weeks of training written in mixed fraction form is 58 1/10 seconds.
What are fractions?
Every number of equal parts is represented by a fraction, which also represents a portion of a whole. A single object or a collection of objects might be whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves. The number of parts into which the whole has been divided is shown by the denominator. How many sections of the fraction are displayed or chosen is shown in the numerator.
Given,
Number of metres run Julia runs each week = 400
Time taken to run 400m dash in the beginning = 59 7/10 seconds
= 597/10 seconds
Since the time is given in fractions, we have to do fraction subtraction for the following weeks.
Time taken in week 1 = 597/10 - 0.6 seconds = 597/10 - 6/10 = 591/10 seconds
Time taken in week 2 = 591/10 - 1/4 = 2364 - 10 / 40 = 2354/40 seconds
Time taken in week 3 = 2354/40 + 0.1 = 2354/40 + 1/10 = 2358/40
Time taken in week 4 = 2358/40 - 17/20 = 2358-34 / 40 = 2324/40
= 581/10= 58 1/10 seconds.
Therefore Julian's timed lap after 4 weeks of training written in mixed fraction form is 58 1/10 seconds.
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I give crown help and more points if you help
Answers
The equation and solution for given situations are
Situation 1: 1.45x + 3.25 = 9.05; 4 pounds
Situation 2: 850 - 15a = 805; 3 days
Situation 3: 12.50 + 1.50r = 39.50; 18 times
Situation 4: 29.95x + 5.95 = 185.65; 6
Situation 5: y = x - 5; 37 inches
Linear equation:
The linear equation is a mathematical statement that is used to find an unknown quantity or number in a given situation. In this, we used different types of variables to represent the unknown value.
To solve the following situations use different variables and solve them for the value of variables.
Here we have
Situation 1:
A freight company charges $ 1.45 per pound plus a handling fee of $ 3.25. A customer was charged $ 9.05 to ship a package
Let 'x' be the weight of the package
=> 1.45x + 3.25 = 9.05
=> 1.45x = 5.8
=> x = 4
∴ weight of the package is 4 pounds
Situation 2
A tenant is charged $ 850 for rent on the 5th of the month. For every day they are early, they can deduct $ 15 from the rent. The tenant pays $ 805
Let the tenant pay the rent 'a' number of days early
=> 850 - 15a = 805
=> 15a = 45
=> a = 3
∴ The tenant paid 3 days early.
Situation 3
Jordan pays $ 12.50 for a city bus pass lowering his bus fare to $ 1.50 per ride. In March, Jordan spent $ 39.50 to ride the city How many times did he ride the bus
Let Jordan ride for 'r' time
=> 12.50 + 1.50r = 39.50
=> 1.5r = 27
=> r = 18
∴ Jordan ride the bus 18 times
Situation 4
Jung purchased several video games priced at $ 29.95 and the shipping cost is $ 5.95. His total purchase is $ 185.65
Let Jung buy 'y' number of games
=> 29.95x + 5.95 = 185.65
=> 29.95x = 179.7
=> x = 6
∴ Jung purchased 6 video games.
Situation 5:
Milo is five inches shorter than his brother, Jayce. Milo is 42 inches tall
Let Jayce is 'x' inches and Milo is 'y' inches
=> y = x - 5
=> 42 = x - 5 [ From the data ]
=> x = 37 inches
Therefore,
The equation and solution for given situations are
Situation 1: 1.45x + 3.25 = 9.05; 4 pounds
Situation 2: 850 - 15a = 805; 3 days
Situation 3: 12.50 + 1.50r = 39.50; 18 times
Situation 4: 29.95x + 5.95 = 185.65; 6
Situation 5: y = x - 5; 37 inches
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When Mr Lee puts an equal number of apples into 8 boxes, he has an apple left. When he puts the same number of apples into 5 boxes, he has 7 apples left. How many apples does he have?
Answers
Answer:
Let's suppose that Mr. Lee puts "x" apples into each box.
According to the first statement, when he puts an equal number of apples into 8 boxes, he has one apple left. This can be represented by the equation:
8x + 1 = n, where n is the total number of apples Mr. Lee has.
Similarly, the second statement says that when he puts the same number of apples into 5 boxes, he has 7 apples left. This can be represented by the equation:
5x + 7 = n
Now we have two equations with two unknowns (x and n). We can solve for x by setting the two equations equal to each other:
8x + 1 = 5x + 7
Subtracting 5x from both sides, we get:
3x + 1 = 7
Subtracting 1 from both sides, we get:
3x = 6
Dividing both sides by 3, we get:
x = 2
So Mr. Lee puts 2 apples into each box. To find the total number of apples he has, we can substitute x = 2 into either of the two equations we started with:
8x + 1 = 8(2) + 1 = 17
So Mr. Lee has 17 apples
m Arch ML = 76 Degrees ; m
Answers
Answer:
A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
Step-by-step explanation:
A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.
Part 1
Evaluate each expression for x = 4 and for x = 5. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.
For x = 4, each expression has a value of
26
. For x = 5, each expression has a value of
47
. These results suggest that the expressions
may be
equivalent, but
do not prove that
the expressions are equivalent.
Part 2 out of 2
Evaluate each expression for x = 3. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.
For x = 3, the first expression has a value of
, and the second expression has a value of
. Since these values are
(select)
, the expressions
(select)
equivalent.
Answers
For x = 4, the first expression evaluates to:
3(4)(4-2) + 2 = 26
For x = 5, the first expression evaluates to:
3(5)(5-2) + 2 = 47
For x = 4, the second expression evaluates to:
2(4)^2 + 3(4) - 18 = 18
For x = 5, the second expression evaluates to:
2(5)^2 + 3(5) - 18 = 37
Based on these results, we cannot definitively determine whether the two expressions are equivalent, although they may be.
Part 2:
For x = 3, the first expression evaluates to:
3(3)(3-2) + 2 = 11
For x = 3, the second expression evaluates to:
2(3)^2 + 3(3) - 18 = 9
Since these values are not equal, we can conclude that the expressions are not equivalent.
Hannah drinks 8 fluid ounces of water 8 times a day. How much water, in gallons, does Hannah drink in a day?
Answers
Answer:
Hannah drinks 64 fluid ounces of water per day, which is equivalent to 0.5 gallons.
Can you help on this fast 20 points
Answers
Answer: 15 Liters (15L)
Step-by-step explanation:
The constant of proportionality (also known as k), is for every bottle, there are 2.5 liters. (k = y/x)
5 / 2 = 2.5 , 12.5 / 5 = 2.5, 20 / 8 = 2.5, etc.
So, we need to multiply 6 by 2.5, 6 * 2.5 = 15
For 6 bottles, there are 15 liters
Please look at the picture below
Answers
The figure is a composite figure compromising of a rectangle OHKN, two triangles ∆LMN and ∆HJK, and a semicircle of arc HP, hence the total area will be derived by the sum of area for each basic shapes.
How to find the area of the composite figureWe can observe from the figure that the lines OL and HK are parallel, likewise the lines OH and NK, so OHKN is a rectangle and its area can be simply derived by multiplying its length by the width.
LMN and HJK are two different triangles and their area can be derived by half of the multiple of their base and height.
we will be left with a semicircle of arc HP and the area is derived using the formula πr²/2, where r is the radius.
In conclusion, the area of the figure will derived by the sum of area for each basic shapes(rectangle OHKN, triangles ∆LMN and ∆HJK, and semicircle of arc HP).
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A budding game developer follows gaming trends to make informed decisions about what products to pitch and what console to target to ensure success. Which type of console is most at risk of being discontinued?
handheld
entertainment
interactive
computer
Answers
Handheld consoles are the most at risk of being discontinued compared to other types of consoles.
option A.
Which type of console is most at risk of being discontinued?Handheld consoles have faced tough competition from the rise of mobile gaming on smartphones and tablets, which has impacted their market share and sales.
For example, Nintendo has faced challenges with their handheld consoles, such as the Nintendo DS and 3DS, which experienced a decline in sales due to the emergence of mobile gaming. As a result, Nintendo shifted its focus to the hybrid console, the Nintendo Switch, which can be used as both a handheld and home console.
That being said, it's important to note that the market for handheld consoles is still significant, and there are still popular handheld devices on the market such as the Nintendo Switch Lite and Sony's PlayStation Vita. The entertainment, interactive, and computer console markets also have their own unique challenges and opportunities, and each type of console has its own risks and benefits.
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Camilla picks a marble at random. Without putting the first marble back, she picks a second marble at random. Are thCamilla picks a marble at random. Without putting the first marble back, she picks a second marble at random.
Are these two events dependent or independent?
Answers
these two events are dependant because the probability of the second event depends on the probability of the first event
15. The solid shape below is made up four equilateral triangles and a square. What is the sum of all the edges in the solid shape?
Answers
The sum of all the edges in the solid shape is 24 unit.
What is length?Length is a measurement οf distance οr size. It can refer tο the physical extent οf an οbject, the size οf an area, οr the amοunt οf time sοmething takes. Length is measured in units such as centimeters, meters, feet, inches, yards, miles, and sο οn. Length is an impοrtant cοncept in mathematics and physics, used tο measure distances and calculate speed and οther quantities.
The sum οf all the edges in the sοlid shape is 24. This is calculated by adding the 4 edges οf the square (4 x 1 = 4) plus the 12 edges οf the 4 equilateral triangles (12 x 1 = 12).
Therefοre, 4 + 12 = 24.
Since all the sides οf the triangles and the square are equal in length, it can be said that all the edges in the sοlid shape are equal. This means that the length οf each edge is equal tο 24/24, οr 1. This means that the length οf each edge οf the sοlid shape is 1 unit.
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Complete question:
The solid shape below is made up four equilateral triangles and a square. What is the sum of all the edges in the solid shape?
[Given each side is 1 unit]
Hi can someone please help me with this!!!
Find the value of a, m, x
Answers
the values of a, m, and x will be √5, 3√5, and 2 respectively.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, A big right triangle has three other right triangles in it.
Since, In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem
For the smallest right triangle,
Hypotenuse = 3
thus,
3² = 2² + a²
a² = 9 - 4
a² = 5
a = √5
For the medium size triangle,
Hypotenuse = 3 + 6 = 9
Other side = 2 + 4 = 6
Base = m
Thus,
9² = 6² + m²
m² = 81 - 36
m² = 45
m = 3√5
For the biggest triangle,
hypotenuse = 3 + 6 + 3 = 12
Height = 2 + 4 + x = 6 + x
base = 5
Since the given triangle is congruent to the smallest triangle,
(6 + x)/ 12 = 2/3
6 +x = 8
x = 2
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You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 12 buns, 18
defrosted beef patties, and 16 opened cheese slices. Rather than throw them out, you decide to use them to make burgers
that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2
beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of
cheese. How many of each should you make?
plain burgers
double cheeseburgers
regular cheeseburgers
Answers
Answer:
Plain burgers: 12
Double cheeseburgers: 9
Regular cheeseburgers: 12
Step-by-step explanation:
Let's use P, D, and R to represent the number of plain burgers, double cheeseburgers, and regular cheeseburgers, respectively.
Each plain burger requires 1 patty and 1 bun, so we can make a maximum of 12 plain burgers (since we have 12 buns).
Each double cheeseburger requires 2 patties, 1 bun, and 2 slices of cheese, so we can make a maximum of 9 double cheeseburgers with the available patties, buns, and cheese. (We have enough patties and buns for 18 burgers, but each double cheeseburger uses twice as many patties, so we divide the total number of patties by 2 to get the maximum number of double cheeseburgers we can make.)
Each regular cheeseburger requires 1 patty, 1 bun, and 1 slice of cheese, so we can make a maximum of 16 regular cheeseburgers with the available patties, buns, and cheese (since we have 16 slices of cheese).
To maximize our sales, we want to make as many of each type of burger as we can. Since we can only make 12 plain burgers, we should make all 12 of those. We can then make 9 double cheeseburgers (using 18 patties, 9 buns, and 18 slices of cheese), and 12 regular cheeseburgers (using 12 patties, 12 buns, and 12 slices of cheese).
So the final answer is:
Plain burgers: 12
Double cheeseburgers: 9
Regular cheeseburgers: 12
Match the correct term or statement to its description below.
A y = -0.75x² -0.75x+ 1.5
D
-b± √b² - 4ac
2a
B
b²-4ac
Ey=-0.75(x + 2)(x-1)
C -2 and 1
F 2
the number of roots of the equation y=-0.75x²-0.75x+1.5
the factored form of y=-0.75x² -0.75x+1.5
the quadratic formula
the zeros of y = -0.75x² -0.75x+ 1.5
the discriminant
X (image included ) show how you get it please. I cannot figure it out
Answers
Answer:
Step-by-step explanation:
2
Plot the point where
Answers
follow the order
[tex]\pi /2[/tex] should be in between 0 and [tex]\pi[/tex], therefore it should be right in the middle. every 90 degrees, the circle increases by [tex]\pi /2[/tex] as well.
7+x^5 answer is waht i need help
Answers
Answer:
8, 39, 250, 1031
Step-by-step explanation:
(Needing a bit more context but if its sequences then:)
Use Tools The tape measure shows inches. Label the
number of inches equivalent to 2½, 3, 3½, and 4 feet.
Answers
The equivalent number of inches is given as follows:
2 and 1/2 feet: 30 inches.3 feet: 36 inches.3 and 1/2 feet: 42 inches.4 feet: 48 inches.How to obtain the equivalent number of inches?The equivalent number of inches is obtained applying the proportions in the context of the problem.
A proportion is applied as the unit conversion rate from feet to inches is given as follows:
1 feet = 12 inches.
Hence the measures are converted from feet to inches multiplying the amounts by 12, as follows:
2 and 1/2 feet: 2.5 x 12 = 30 inches.3 feet: 3 x 12 = 36 inches.3 and 1/2 feet: 3.5 x 12 = 42 inches.4 feet: 4 x 12 = 48 inches.More can be learned about proportions at https://brainly.com/question/24372153
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solve each system using substitution
y=1/2x+4
x-y=8
Answers
We are given the following system of equations:
y = (1/2)x + 4 ---(1)
x - y = 8 ---(2)
We can solve this system of equations by substitution method.
From equation (2), we have:
x - y = 8
Solving for x, we get:
x = y + 8
Substitute this value of x in equation (1):
y = (1/2)(y+8) + 4
Simplifying and solving for y, we get:
y = 2
Now, substitute this value of y back in equation (2) to find the value of x:
x - 2 = 8
x = 10
Therefore, the solution of the given system of equations is (x, y) = (10, 2).