Answer:
11x - 5
just add the terms and integers together
Answer:
Step-by-step explanation:
Answer:
Step By Step Explanation:
Factor
Factor Out Common Term
Cancel The Common Factor x + 4
What is the range of the function f(x)=6x^2+x-1/2x^2+x-6
Answer:
Range: [tex]\:f\left(x\right)\ge \:-\frac{68}{11}[/tex]
Interval notation [tex][-\frac{68}{11},\:\infty \:)[/tex]
Step-by-step explanation:
I got a little confused with the x - 1/2x^2 term and I am taking to to be:
[tex]x\:-\frac{1}{2}x^2[/tex] . If this is incorrect please mention the correct term in your comment and I will edit this post. Or you can re-post the question
We have
[tex]f\left(x\right)=6x^2+x\:-\frac{1}{2}x^2+\:x\:-\:6[/tex]
Simplify by grouping like terms:
[tex]=-\frac{1}{2}x^2+6x^2+x+x-6[/tex]
[tex]= \frac{1}{2}x^2+6x^2+2x-6[/tex]
Add similar elements
[tex]-\frac{1}{2}x^2+6x^2[/tex][tex]= -\frac{1x^2}{2}+\frac{12x^2}{2} = \frac{11x^2}{2}[/tex]
So the original function expression becomes
[tex]y=\frac{11}{2}x^2+2x-6[/tex]
This is the equation of a parabola which in standard form is [tex]ax^2 + bx + c[/tex]
Here
[tex]a=\dfrac{11}{2},\:b=2,\:c=-6[/tex]
We can compute the vertex of this parabola using the fact that the x, y coordinates of the vertex are given by
[tex]x_v =-\dfrac{b}{2a}[/tex]
Plugging in values for b and a give us
[tex]x_v =-\dfrac{b}{2a} = -\dfrac{2}{2\left(\dfrac{11}{2}\right)} =-\dfrac{2}{11}[/tex]
Plugging in this value of [tex]x_v[/tex] into the parabola equation will give the value for [tex]y_v[/tex] which is the function value at the vertex
Plug in [tex]x_v = -\frac{2}{11}[/tex] t find the [tex]y_v[/tex] value:
[tex]y_v=\dfrac{11\left(-\dfrac{2}{11}\right)^2}{2}+2\left(-\dfrac{2}{11}\right)-6[/tex]
Simplify
[tex]\dfrac{11\left(-\dfrac{2}{11}\right)^2}{2} =\dfrac{2}{11}[/tex]
[tex]2\left(-\dfrac{2}{11}\right) = -\dfrac{4}{11}[/tex]
Combining the terms we get
[tex]y_v =[/tex] [tex]\dfrac{2}{11}-\dfrac{4}{11}-6[/tex] [tex]= -\dfrac{68}{11}[/tex]
[tex]\textsf{Therefore the parabola vertex is at }[/tex] [tex]\left(-\dfrac{2}{11},\:-\dfrac{68}{11}\right)[/tex]
For a parabola of the form [tex]ax^2 + bx + c[/tex] with vertex [tex]\left(x_v,\:y_v\right)[/tex]
[tex]\circ \;\mathrm{If}\:a < 0\:\mathrm{the\:range\:is}\:f\left(x\right)\le \:y_v[/tex]
[tex]\circ \;\mathrm{If}\:a > 0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v[/tex]
Here [tex]a=\frac{11}{2}[/tex] so the range is [tex]f\left(x\right)\ge \:-\dfrac{68}{11}[/tex]
Answer range of f(x) is
[tex]f\left(x\right)\ge \:-\dfrac{68}{11}[/tex]
In interval notation it is [tex][-\frac{68}{11},\:\infty \:)[/tex]
It is much easier if you visualize it in a graph
Hope that helps
For questions 2-4, write two equivalent expressions for each radical expression using the
product law of radicals. One of your expressions should simplify to an integer multiplied
by a radical.
2.
√128 =
3.
√128=
Step-by-step explanation:
bayot ka dong no plbading bading sya bayot
a concert promoter needs to make $78,700 from the sale of 1780 tickets. the promoter charges $40 for some tickets and $55 for the others. let x represent the number of $40 tickets and y represent the number of $55 tickets.
A concert promoter needs to make $42,000 from the sale of 1800 tickets.
Who is concert promoter?Show advancement is a consuming position, which requires performing business obligations — ordinarily out of an office — by day and going to shows around evening time and toward the end of the week. A show advertiser is answerable for coordinating and publicizing live shows and unique exhibitions. Show Advertisers produce and arrange shows by booking ability, getting settings, employing occasion staff, and promoting their occasions. The most well-known question that surfaces while considering turning into a show advertiser is, how much do they truly make. While taking a gander at certain insights, it shows that the compensation range is $28,000-$187,000 each year.
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elect the correct answer from each drop-down menu. Which system of equations is represented by this graph? Graph shows system of equations plotted on a coordinate plane. A line goes through (minus 6, 0) and (0, minus 3). Another line goes through (0, 3) and (minus 4, minus 5). y = x + 3 y = x − 3
The equation of the line traveling through (-6, 0) and (0, -3) is mathematically given as
y = -(1/2)x - 3
The equation of the line traveling through (0, 3) and (-4, -5) is mathematically given as
y = 2x + 3
What exactly is an equation, then?An expression known as an equation is one that illustrates the connection between two or more sets of numbers and variables.
The equation of the line traveling through (-6, 0) and (0, -3) is:
y - 0 = [(-3 - 0) / (0- (-6)](x - (-6))
y = -(1/2)x - 3
The equation of the line going through (0, 3) and (-4, -5) is:
y - 3 = [(-5 - 3) / (-4 - 0)](x - 0)
y = 2x + 3
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explaining how to use linear pairs and vertical anglesimagine two lines intersect. how can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? explain.
64x+60 simplified expression
Answer:
4(16x+15)
Step-by-step explanation: They both have the common factor of 4
Each time John rides the bus to school he pays $3. Write and solve an equation that represents the change in John's money from riding the bus to and from school for 17 days
Every day that John rides on the bus, he loses $3
if he rides on the bus for 17 days, it can be solved like this
(3 x 2)17 = 102$
The change is John's money is -$102 over a span of 17 days
Hope this helped
PRACTICING SKILLS & CONCEPTS
1. Solve the shape equation puzzle.
+
+
=
= 10
6=
8 =
The value of box/ square is 5, value of circle is 3 and the value of star is 6.
Let box/ square be denoted by x
let the circles be denoted by y
let the stars be denoted by z
now, let us make three linear equation based on the diagram provided
1. x + x = 10
2. y + z= 9
3. y+ x = 8
solving equation 1
x + x = 10
2x = 10
x = 5
Putting the value of x in equation 3
y + x=8
y + 5 = 8
y = 3
Putting the value of y in equation 2
y + z = 9
3 + z= 9
z = 6
Hence , The value of box/ square is 5, value of circle is 3 and the value of star is 6.
A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation in two variables has the conventional form Ax + By = C.
A linear equation is an equation with the maximum degree of one. This means that in a linear equation, no variable has an exponent greater than 1. A linear equation's graph is always a straight line.
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x² + 4y² + 3x + 2y 56= 0, 5x - 2y + 7 = 0
Answer:
bat pa kasi pinapangita ang ex
an airplane flies 2,794 miles in 5.5 hours. what is the speed of the airplane in miles per hour?
Answer:
508 miles per hour
Step-by-step explanation:
First, set up an equation:
miles per hour = # of miles ÷ # of hours
2,794 miles ÷ 5.5 hours = 508 miles/hour
Hope this helps! I'd appreciate brainliest but it's fine if not!
3/v=8/13 using cross prouducts property
Answer:
v = 4.875
Step-by-step explanation:
Anytime you have a proportion (a fraction = a fraction)
you can cross multiply to change the equation (get rid of the fractions!) and solve.
see image.
3/v = 8/13
8v = 39
v = 4.375
see image.
please answer this with solution thanks
Answer:
Function 1 is neither odd nor even
Function 2 is odd
Step-by-step explanation:
Here, you must first understand the expression of odd and even functions:
Even: f(x) = f(-x)
Odd: f(-x) = -f(x)
Question 1:
[tex]{ \tt{f(x) = x + 3}} \\ { \rm{when \: x = - x}} \\ { \tt{f( - x) = - x + 3}} \\ { \tt{f( - x) \: is \: neither \: even \: nor \: odd }}[/tex]
Question 2:
[tex]{ \tt{f(x) = - { \green{{3x}^{3} + 6x }}}} \\ { \rm{when \: x = - x}} \\ { \tt{f( - x) = - 3 {( - x)}^{3} + 6( - x) }} \\ { \tt{f( - x) = 3 {x}^{3} - 6x}} \\ { \tt{f( - x) = - \{ { \green{- 3 {x}^{3} + 6x }}}} \} \\ { \tt{f( - x) = - f(x)}}[/tex]
rounded to the nearest tenth, what is the perimeter of rectangle abcd? a. 10.8 inches b. 13.7 inches c. 15.0 inches d. 18.7 inches
The perimeter of the rectangle ABCD is 13.7 inches.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
⇒ sin30° = AD/AC
⇒ AD = AC(sin30°) = 5(1/2)
⇒ AD = 2.5 inches
⇒ sin60° = CD/AC
⇒ CD = AC(sin30°) = 5(√3/2)
⇒ CD = 4.33 inches
The perimeter of rectangle ABCD = 2(AD) + 2(CD)
The perimeter of rectangle ABCD = 2(2.5) + 2(4.33) = 5 + 8.66
Rounded to the nearest tenth
The perimeter of rectangle ABCD = 13.66 ≈ 13.7 inches
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The question seems to be incomplete the correct question would be
Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?
rectangle ABCD with diagonal AC, labeled as measuring 5 inches, angle BAC measuring 30 degrees, angle BCA measuring 60 degrees, angle DCA measuring 30 degrees, and angle DAC measuring 60 degrees.
polygon b is a scaled copy of polygon a using a scale factor of 5 . polygon a area is what fraction of polygon b area
The area of polygon A would be a fraction 1/25 of the size of polygon B.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object
The formula of the scale factor is shown as;
Area of Polygon B = (scale factor)²×(Area of Polygon A).
Using a scale factor of 5, we get
(Area of Polygon B) = (5)²× (Area of Polygon A)
(Area of Polygon B) = (25) × (Area of Polygon A)
Area of Polygon A = (1/25) × Area of Polygon B
Therefore, the area of polygon A would be a fraction 1/25 of the size of polygon B.
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Find the equation of the line that passes through the points (1, 3) and (2, 4)
Answer:
y = x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (2, 4 )
m = [tex]\frac{4-3}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (1, 3 )
3 = 1 + c ⇒ c = 3 - 1 = 2
y = x + 2 ← equation of line
The following table shows the different savings account available at Capital Bank. Use the table to answer questions
Kate is depositing $5,000 into an account for her son’s education. Which account should she choose?
A. Teen Savings, because her son is a teen
B. College Savings, because she meets the minimum deposit and it earns more interest
C. Regular Savings, because it earns compound interest.
D. Platinum Savings, because it has the highest interest rate.
Based on the accounts and the benefits they offer, Kate should choose B. College Savings, because she meets the minimum deposit and it earns more interest
Which account is best for Kate?Kate should pick the college savings account for two reasons with the first being that the $5,000 she wants to deposit meets the minimum deposit amount of $1,000.
The second reason is that the account earns more interest than other account.
Even though it is simple interest, the 9% is still much higher than the compound interest of 1% that the regular account gives.
Kate should choose college savings.
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Donald and Aaliyah each made a bowl of punch. Aaliyah used 4 times as much lemonade
as Donald did. If Donald used 1 1/2 cups of lemonade, how many cups of lemonade did
Aaliyah use?
Answer: 6 cups of lemonade for Aaliyah
Step-by-step explanation:
If Donald used 1 1/2 cups of lemonade-
And Aaliyah uses 4 times that amount-
Aaliyah does 4 times that amount you will do 1 1/2 *4 which is 1*4=4 and 1/2*4=2 so Aaliyah uses 6 cups of lemonade.
1 1/2 * 4 = 6
an article in forbes noted that the intercounty connector toll road that connects two counties in maryland was not generating as much toll revenue as predicted. at that time, the toll rate was $8 for a passenger car making a round trip from end to end on the tollway during rush hour. what additional information would you need to know in order to determine if the toll should be increased or decreased?
The additional information would you need to know in order to determine if the toll should be increased or decreased is The price elasticity of demand
The additional information required is
In this situation, it is necessary to consider the price elasticity of demand since it demonstrates how changes in price may either increase or decrease a product's consumption.Since the toll road wasn't generating as much toll money as was anticipated in this scenario, it's possible that the toll road's price has increased.The price elasticity of demand will be required in this scenario as extra data.Therefore,The additional information would you need to know in order to determine if the toll should be increased or decreased is The price elasticity of demand
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What is the multiplive rate change for the expenstial function f(x)2 5/2-x
0.4 is the multiplive rate change for the Expenstial function .
What exactly makes a function exponential?
A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.We have to find the multiplicative rate of change for:
f ( x ) = 2 * ( 5/2 ) ^(-x)
F (X ) = [tex]f(x) = 2 * ( \frac{5}{2} )^{-x}[/tex]
2/5 = 0.4
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Someone help please I would really appreciate it :))
The equation that we would use to find the value of x based on the area of a rectangle is:
C. (16 + 2x)(12 + 2x) = 396
What is the Area of a Rectangle?To find the area of a rectangle, find the product of its length and its width. Thus, the area of a rectangle is: (length)(width) = area.
Given the following:
Area of both the walkway and the garden = 396 square meters
Length = x + 16 + x = 16 + 2x
Width = x + 12 + x = 12 + 2x
Using the area formula for a rectangle, we would have:
(16 + 2x)(12 + 2x) = 396.
Therefore, the equation that we would use to find the value of x based on the area of a rectangle is:
C. (16 + 2x)(12 + 2x) = 396
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A polynomial p(x) is given as 2x^2-3kx+5
One of the zeros of p(x) is -1
Find k.
Answer:
[tex]k = -\frac{7}{3}[/tex]
Step-by-step explanation:
Given :
p(x) = 2x² − 3kx + 5
Since, -1 is a zero for p then :
p(-1) = 0
Solving the equation p(-1) = 0 for k :
p(-1) = 0
⇔ 2(-1)² − 3k(-1) + 5 = 0
⇔ 2 + 3k + 5 = 0
⇔ 3k = -5 - 2
⇔ 3k = -7
⇔ k = -7/3
NOTE :
If -1 is a zero of p
[tex]\Longrightarrow k = -\frac{7}{3}[/tex]
[tex]\Longrightarrow p(x) = 2x^2 - 3(\frac{-7}{3}) x + 5\\\Longrightarrow p(x) = 2x^2+ 7x + 5[/tex]
What is 32 Quartz to 48 Quartz?
32 Quartz to 48 Quartz is 2/3 Quartz
What is Quart measurement ?The quart is a measurement which is use to find the capacity of liquid. Or we can say Quart is a unit of liquid volume which is measured in gallon. There are different measurements into which we can convert the unit such as ounces and liters. These conversion values are as below :
Mathematically, we can write :
In terms of ounces1 quart = 32 fluid ounces
In terms of liters1 quart = 0.94 US liters = 4 cups (approx.)
According to given question, 32 Quartz to 48 Quartz is the ratio of 32 and 48 Quartz value.
Mathematically, we can write :
[tex]\frac{32 \ Quartz }{48 \ Quartz}\\ \\= \frac{2 \ Quartz}{3 \ Quartz} \\\\or, = \frac{2}{3} Quartz[/tex]
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Find the surface area of the cylinder.
18.84 in² is surface area of cylinder .
What does surface area mean?
The quantity of space enclosing a three-dimensional shape's exterior is its surface area.Latitudinally, curvedly, and overall, there are three different forms of surface area.A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².Surface area is the amount of space covering the outside of a three-dimensional shape.sa = 2πr² + 2πrh
= 2 × 3.14 × 1 × 1 + 2 × 3.14 × 1 × 2
= 6.28 + 12.56
= 18.84
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solve this answer and get 30 points
Answer:
10
Step-by-step explanation:
[tex]\frac{63}{c}[/tex] + d ( substitute c = 7 , d = 1 into the expression )
= [tex]\frac{63}{7}[/tex] + 1 ← evaluate division before adding
= 9 + 1
= 10
Evans favorite hobby is origami he plans to make 100 paper cranes to hang from the ceiling of his bedroom yesterday he made 28 paper cranes and 4 hours today he made 21 paper cranes at the same rate how long did evan spend making paper crates today?
Answer:
Evan spent 3 hours making paper crates today.
Step-by-step explanation:
He made 28 in 4 hours. 28 divided by 4 equals 7. Which means he makes 7 paper crates in 1 hour. Today he made 21. So 21 divided by 7 equals 3.
-2+(-3)+(-4)+(-5)+(-6)+(-7)
Answer:
-27
here is the answer for you
How do you find the equation of 5x-28=-3
Answer:
Step-by-step explanation:
5x-28=-3
You want to isolate x.
First, add 28 to both sides to isolate 5x, what you do to one side you do to the other, so:
5x= 25
Seperate 5x by dividing it, so 25/5.
x = 5 is your answer.
a local nonfrofit organization is selling popcorn to raise money for hurrican relief. the organization paid $4 per bag for the popcorn and sold $5 per bag. what was the percent makeup on each bag of popcorn?
The percent makeup on each bag of popcorn is 25%.
When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. The percentages 100%, 50%, 0% indicate all of some quantity, half of the quantity, and none of the quantity respectively.
Popcorn is being sold by a neighborhood nonprofit to support hurricane relief.
The organization paid $4 for each bag of popcorn.
The organization sold each bag of popcorn for $5.
The markup or gain from selling the popcorn is:
$5 - $4 = $1
Therefore, the percent makeup on each bag of popcorn will be:
= ( the gain / the amount organization paid for each bag ) × 100
= ( 1 / 4) × 100
= 0.25 × 100
= 25 %
Hence, the percent makeup on every bag of popcorn is 25%.
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what is 4 squared 5
Answer: 4^5=1024
Step-by-step explanation:
4x4x4x4x4=1024
Answer:
1024!
Step-by-step explanation:
Athena's credit card has an APR of 16.99%. If her current monthly balance, before interest, is $1,567.32, what amount will she be charged for interest?
a)$22.19
b)$26.63
c)$31.19
d) $45.00
The amount that Athena will be charged for interest is $22.19
What is the meaning of APR of 16.99%?
The APR means an annual percentage rate, which means that the 16.99% is annual interest rate compounded monthly, hence, it needs to be divided by 12 in order to determine the equivalent monthly interest rate.
monthly interest rate=16.99%/12
monthly interest rate=0.0141583333333333
The monthly interest charged on the balance of $1,567.32 is computed thus:
monthly interest charged=$1,567.32*0.0141583333333333
monthly interest charged=$22.19
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