Answer: See attached
Step-by-step explanation:
Given:
y = -x² + 6x - 5
Since this is a quadratic function, we will have a parabola.
Because our x² value is negative, this parabola will be a "frowny face" instead of a "smiley face" like the parent function.
The - 5 means we shift the function 5 units to the right from the parent function.
See attached for our graph.
What parent function am I mentioning?
The parent function of y = -x² + 6x - 5 is y = x²
Perfomance task pre-cal
Part 1: Determine the limits of a function given a graph
The value of limits and function values for a, b, c, d, e, f, g, h, i, and j are 3, -1, does not exist, 3, 1, 2, does not exist, 2 +∞, and -∞ and doesn't follow continuity conditions and its jump continuity.
What is the limit?A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have a graph of a function:
For [tex]\lim_{x \to -1^{-1}} f(x)[/tex]
As we can see x approaches -1 and it is a left-hand limit.
[tex]\lim_{x \to -1^{-1}} f(x) = 3[/tex]
For [tex]\lim_{x \to -1^{+1}} f(x)[/tex]
The x approaches the +1 and it is the right-hand limit.
[tex]\lim_{x \to -1^{+1}} f(x) = -1[/tex]
For [tex]\lim_{x \to -1} f(x)[/tex]
Since the left hand and right-hand limits are not the same,
[tex]\lim_{x \to -1^{+1}} f(x)[/tex] = does not exist
From the graph:
f(-1) = 3
Similarly, we can find further values of the limits and functions value:
[tex]\lim_{x \to 2^{-1}} f(x) = 1[/tex]
[tex]\lim_{x \to 2^{+1}} f(x) = 2[/tex]
For [tex]\lim_{x \to 2^{}} f(x)[/tex]
Since the left hand and right-hand limits are not the same,
[tex]\lim_{x \to 2^{}} f(x)[/tex] = does not exist
f(2) = 2
[tex]\lim_{x \to -\infty} f(x) = +\infty[/tex]
[tex]\lim_{x \to +\infty} f(x) = -\infty[/tex]
There are three conditions a graph must follow:
1) function value defined at any given point.
2) left-hand limit and right-hand limit must be equal
3) function value at the point and limit value at the same point must be the same.
In the given function the graph doesn't follow these conditions and its jump continuity.
Thus, the value of limits and function values for a, b, c, d, e, f, g, h, i, and j are 3, -1, does not exist, 3, 1, 2, does not exist, 2 +∞, and -∞ and doesn't follow continuity conditions and its jump continuity.
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The area of a rectangle is 45 square inches. One dimension is 5 inches. What is the perimeter
Answer:
28 inches
Step-by-step explanation:
To begin, the area of a rectangle is base · height. Since we are given one of the sides already, you can make an equation to solve for the other value.
5 · x = 45
5x = 45
x = 9
A rectangle has two pairs of parallel sides, or in easier terms, two sets of sides that are the same. So, the perimeter is going to be two lengths plus two widths.
2 · 5 + 9 · 2 = 10 + 14 = 28
PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE BRAINLESS TO THE FIRST CORRECT PERSON!!!
Find the value of x. Write your answer in the simplest form.
Answer:
9[tex]\sqrt{2}[/tex]/2
Step-by-step explanation:
Since this is a right triangle designated by the square box in the right side, we know 2 of the angles. 45 and 90. Add these 2 angles and subract them from 180 which turns out to be 45.
We can use the law of sines to solve.
sin90/9 = sin45/x
x = 9sin45 = 6.36 = 9[tex]\sqrt{2}[/tex]/2
The width w of a credit card is 3 centimeters shorter than the length 1. The area is 46.75 square centimeters. Find the
perimeter.
Answer:
28 cm
Step-by-step explanation:
Area = 46.75 = l * (l-3) shows l = 8.5 cm (using Quadratic Formula)
then w = 5.5
perimeter = 2 * ( 8.5+5.5) = 28 cm
The perimeter of the given card is 28 cm.
What is perimeter?Perimeter of an object is given by adding the side lengths of the object.
Given that, the width w of a credit card is 3 cm shorter than the length. The area is 46.75 cm².
We need to find the perimeter of the credit card,
Let the length be l,
Therefore,
Area = length x width
46.75 = l x (l-3)
46.75 = l² - 3l
l² - 3l - 46.75 = 0
Finding l, we get,
l = 8.5, l = -5.5
Since, length cannot be negative so, l = 8.5 cm
So, width = 8.5 - 3 = 5.5 cm
Perimeter = 2(l+w)
= 2(5.5+8.5) = 28 cm
Hence, the perimeter of the given card is 28 cm.
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A movie theater designs a bag of popcorn to hold 96 cubic inches of popcorn. Each bag is shaped as a rectangular prism. The base of the bag is 3 inches by 4 inches. What is the height of the bag?
Help please please!!!!!
Answer:
7/8 inch
Step-by-step explanation:
Convert 1 1/4 to improper fraction.
1 1/4 4/4 + 1/45/4Convert 5/4 to a fraction with a denominator of 8.
5/45/4 x 2/210/8Subtract 3/8 from 10/8
10/8 - 3/87/8 inchConvert the following functions.
Convert the exponential function,
12^3=x^4 y^3 z^6
, to its corresponding logarithmic function.
Write the log form from Part A into the expanded log form. **expression must be fully expanded for
The logarithmic function is the inverse of the exponential function
The logarithmic equivalent of the exponential function is log(12) = [tex]\frac 43[/tex]log(x) + log(y) + 2log(z)
How to convert the function?The exponential function is given as:
12^3=x^4 y^3 z^6
Take the logarithm of both sides
log(12^3) =log(x^4 y^3 z^6)
Apply the product rule of logarithm
log(12^3) =log(x^4) + log(y^3) + log(z^6)
Apply the power rule of logarithm
3log(12) = 4log(x) + 3log(y) + 6log(z)
Divide through by 3
log(12) = [tex]\frac 43[/tex]log(x) + log(y) + 2log(z)
Hence, the logarithmic equivalent of the exponential function is log(12) = [tex]\frac 43[/tex]log(x) + log(y) + 2log(z)
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which algebraic expression is equivalent to the expression below?
3(12k + 2) + 6k
A. 54k + 6
B. 18k + 5
C. 21k+ 5
D. 42k + 6
Answer:
D
it is equivalent to the expression
Use the drop-down menu to complete the statement. What is 3 ÷ 2 5 ? To find the quotient, jump groups of . A number line going from 0 to 3. Numbers 0, 1, 2, and 3 are marked on the line. Marks divide the spaces between each number into 5 equal parts.
2/5 on edge
Yw and pls mark me brainiest :D
graph the linear equation -x+2y=2
The graph of the given linear equation, y = 1/2x + 1 (-x+2y=2), is given in the diagram attached below.
What is the Graph of a Linear Equation?The graph of a linear equation is a straight line graph, and it is represented, in slope-intercept form as, y = mx + b, where m is the slope and b is the y-intercept of the graph.
Given the linear equation, -x+2y=2, rewrite in slope-intercept form:
-x+2y=2
2y = x + 2
y = x/2 + 2/2
y = 1/2x + 1
Thus, the graph of the linear equation is drawn as shown in the image attached below.
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Write a system of linear inequalities represented by the graph.
x>2 and x<4
since both are dashed that means they are both not including the x-values, so they are no equal signs with the greater or less than signs.
the shaded area is more than 2 but less than 4, not including 2 and 4 because they are dashed lines.
The tub started with
gallons of water.
2 out of 5 bought pizza there were 30 students in total how many students did not get pizza as a ratio
Answer:
75%
Step-by-step explanation:
Kelsi spent $6.75 every Saturday for breakfast what is the total amount of money keksie spends on breakfast for 14 Saturdays
Multiplication is the outcome of the product of two numbers. The total amount of money Kelsi spends on breakfast for 14 Saturdays is $94.5.
What is multiplication?A product is the outcome of multiplication or an expression that indicates the elements that will be multiplied.
Given that Kelsi spent $6.75 every Saturday for breakfast. Therefore, the total amount that will be spent on 14 Saturdays breakfast will be,
[tex]\rm Total\ Amount = \$6.75 \times 14 = \$94.5[/tex]
Hence, the total amount of money Kelsi spends on breakfast for 14 Saturdays is $94.5.
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Answer:
$94.50
Step-by-step explanation:
i did the test and aced it
Question is in the image
Answer:
16%
Step-by-step explanation:
4 people like rock
and there are 25 ppl all together
4/25=0.16
16%
I will mark the first person to answer my question brainliest
Answer:
1 / 0.9
2/ 0.12
3/ 0.2
4/ 0.07
5/ 0.8
6/ 0.72
7/ 0.47
8/ 0.6
9/ 0.02
10/ 0.96
Step-by-step explanation:
Answer:
1. 9/10
2. 12/100 - 3/25
3. 2/10 - 1/5
4. 7/100
5. 8/10 - 4/5
6. 72/100 - 18/25
7. 47/100
8. 6/10 - 3/5
9. 2/100 - 1/50
10. 96/100 - 24/25
I simplified some of them.
Hope this helped and Brainliest please
I need help with my math promblem
when using a graph you must look at all dots? given information,? or pages
Answer:
The dots are used for dot plots, and the given Information Is to help you understand the % or number of people and things etc.
Enter the correct answer in the box.
Write the expression (x4)8 in simplest form.
Answer:
x³²
Step-by-step explanation:
When raising exponents to another power, multiply the exponents given.
That means that:
(x⁴)⁸ = x⁽⁴⁾⁽⁸⁾ = x³²
A bag with 10 marbles has 2 yellow marbles, 4 blue marbles, and 4 red marbles. What is the probabillity that it chosen at random and is yellow?
Answer:
1/5 = 0.2 = 20%
Step-by-step explanation:
Given:
Yellow marbles = 2Blue marbles = 4Red marbles = 4Total marbles = 10[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(yellow) = \dfrac{2}{10}=\dfrac15[/tex]
This can also be written as 0.2 or 20%
Answer:
[tex]Probability=0.2[/tex]
Step-by-step explanation:
Step 1: List the given information
[tex]Total\ Marbles = 10[/tex]
[tex]Yellow\ Marbles = 2[/tex]
[tex]Blue\ Marbles = 4[/tex]
[tex]Red\ Marbles = 4[/tex]
Step 2: Determine the probability of choosing yellow
[tex]Probability=\frac{Yellow\ Marbles}{Total\ Marbles}[/tex]
[tex]Probability=\frac{2}{10}[/tex]
[tex]Probability=\frac{1}{5}[/tex]
[tex]Probability=0.2[/tex]
Answer: [tex]Probability=0.2[/tex]
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
х y
2 -36
3 -33
4 -30
5 -27
Y= ___x - ___
Answer:
y = 3x - 42
Step-by-step explanation:
The equation of a line if y = mx + cFirst, choose two of the x values with their respective y valuesI’ll choose 2 & -36 and 3 & -33We need to find the gradient of this line (which is the m in y = mx + c)We can do this by finding the difference in the y values and divide this by the difference in the x valuesSo this would be [tex]\frac{-33--36}{3-2} = \frac{3}{1}=3[/tex]So far we have y = 3x + cUsing one of the x values and their respective y value, substitute these values into the formulaI’ll choose 4 & -30-30 = 3 × 4 + c-30 = 12 + cc = -30 - 12 = -42So the equation is y = 3x - 42!
Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal
places.
95% confidence; the sample size is 10,000, of which 40% are successes
0.0096
0.0126
0.0072
0.0110
Ik The answer is 0.0096 but don’t know how to get that. Would someone show steps?
When the shadow of a flagpole is 36 m long, a 1.8-m fencepost casts a shadow that is 3 m long. How tall is the flagpole?
Answer:
21.6 m long
Step-by-step explanation:
To do this, we find the scale factor of the fencepost and the shadow.
3/1.8 = 1.66666667
So, we know that when we take the original length and multiply it, we get the new one, so:
1.666666667 * x = 36
x being the original length. Now, we divide both sides by 1.66666667 to get x alone and find the original length.
x = 21.6
To double check, we can take the scale factor and multiply it by the original to get the shadow.
21.6 * 1.666666667 = 36
It is correct
Boxes measure 2.5cm by 4.5cm by 6.2cm The shopkeeper puts them in a tray which is 2.5cm by 9cm by 31cm Work out the largest number of boxes which can lie flat in the tray
Answer:
10
Step-by-step explanation:
boxes= 2.5× 4.5× 6.2= 69.75
tray= 2.5× 9× 31= 697.5
697.5÷69.75= 10
Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS not risking a virus
Winnie wants to find the zeros of the function
g(x) = 8(x) = 8x2 + 14x – 15. Which of the following equations could Winnie use to find the zeros of
g(x)?
1.) (X - 5)(8x + 3) = 0
2.) (x + 1)(8x – 15) = 0
3.) (4x + 15)(2x - 1) = 0
4.) (4x – 3)(2x + 5) = 0
what is 3/5 - 1/2 = in simplest form
the fraction form of your question is 1/10
the decimal form is 0.1
hope i helped mwah
What is the radius of a circle with a
circumference of 26.69 centimeters?
Step-by-step explanation:
[tex]c = 2\pi \: r \\ 26.69 = 2\pi \: r \\ r = 26.69 \div 2(3.14) \\ r = 4.25 \: cm[/tex]
Answer:
4.25 cm
Step-by-step explanation:
Circumference of a circle = 2πr (where r is the radius)
[tex]\implies 26.69=2 \pi r[/tex]
[tex]\implies r=\dfrac{26.69}{2\pi }[/tex]
[tex]\implies r=4.247845431...[/tex]
[tex]\implies r=4.25\:\textsf{cm (nearest hundredth})[/tex]
Using [tex]\pi=3.14[/tex]:
[tex]\implies r=\dfrac{26.69}{2 \cdot 3.14}=4.25\: \sf cm[/tex]
Which of the following best represents a term in the expression below?
6x + 5 to the 3rd power - 7y +20
Answer:
6x+5
Explanation
because -7y would be negative
1
a
Purple
9) Jada is allergic to cats so she has decided to
get a couple of pet fish. There are 10 fantail
goldfish and 9 calico goldfish in a tank at the
store. Jada tells the pet store employee that
she will take the first two fish he catches. The
employee dips in a net and catches one fish,
puts it in a bag of water for Jada, and then
catches a second fish in the same manner.
a
What is the probability Jada ends up with two
Answer:
hello the answer is B
Step-by-step explanation:
because 2+2+2+2+22+2+2+2+2++2+2+2+2++2++2+2+2+2++2+2+2+2++2+2+2+2+2+2+2+2+2+2++2=I don't know