Answer the question below and for part B write the equation with the answer that you get for part A.
A
B
C
D
Answers
From the linear function, the rate of change is 35 and the unit cost is 35
Linear FunctionA linear function is defined as a function that has either one or two variables without exponents.
In this problem, we have to write a linear function that models the table given. This will take the form of y = mx + c
m = slope or rate of change and c = constant or unit cost of the product.
The formula of slope of a line is given as
m = y₂ - y₁ / x₂ - x₁
Taking two points from the table;
m = 215 - 180 / 5 - 4
m = 35
Using the slope of the line, we can find the y - intercept of the function.
y = mx + c
215 = 35(5) + c
215 = 175 + c
c = 215 - 175
c = 40
The linear function of the table is y = 35x + 40
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Related Questions
Sara uses 9.3 pints of white paint and blue paint to paint her bedroom walls.
3/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answers
Answer:2.65
Step-by-step explanation:
The answer is 2.65
An investor obtains a balloon mortgage with the terms shown below.
Balloon Mortgage
$530,000
30/7 balloon
6.8% annual rate
What is the monthly payment on this mortgage?
a. 3,455.20 b. 3,678.58 c. 6,738.57 d. 7,947.40
Answers
9514 1404 393
Answer:
a. $3,455.20
Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
for loan amount P at annual rate r for t years.
For this mortgage, we use P = $530,000, r = 0.068, t = 30.
A = $530,000(0.068/12)/(1 -(1 +0.068/12)^(-360)) ≈ $3,455.20
The monthly payment is $3,455.20.
_____
Additional comment
In 7 years, the balloon payment will be $481,559.91.
how can I subtract 9 2/5 - 8 4/5
Answers
Answer:
0.6
Step-by-step explanation:
First make them into decimals so.
9.4 - 8.8 = 0.6
Step-by-step explanation:
okay so let's convert this from mixed to improper fraction
9 2/5= 47/5
8 4/5= 44/5
47/5-44/5= 3/5
What are the next 4 multiples of 4/8 in a fraction
Answers
Answer:
8/16, 12/24, 16/32, and 20/45
Step-by-step explanation:
write an exponential formula of the form f (t)= a×b^t to represent the following situation. assume t is in years. The beginning population is 27, 000, decreasing by 3.5% annually. f(t)=__________
Answers
Answer:
[tex]f(t)= 27000 * 0.965^t[/tex]
Step-by-step explanation:
Given
[tex]a = 27000[/tex] -- initial
[tex]r = 3.5\%[/tex]
Required
The exponential equation
The exponential equation is
[tex]y =ab^t[/tex]
Where
[tex]b=1 -r[/tex]
We used minus, because the rate decreases..
So, we have:
[tex]b=1 -3.5\%[/tex]
[tex]b=1 -0.035[/tex]
[tex]b=0.965[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 27000 * 0.965^t[/tex]
Hence:
[tex]f(t)= 27000 * 0.965^t[/tex]
LM is 3x, MN is 2x+2. M is the midpoint of LN. What is LM?
Answers
Answer:
1/2
Step-by-step explanation:
3x=(1/2)(2x+2)
3x=x+1
3x-x=x-x+1
2x=1
x=1/2
Jeremiah wants to send some of his shirts to a dry cleaner. he usually takes his clothes to Spot-Less Dry cleaners, where he pays $4.50 per shirt. He sees a sign at No Mess or Stress Dry Cleaners that says it's $21.00 to have 4 shirts cleaned. Which is the better deal?
Answers
answer:spot-less
Step-by-step explanation:
21.00 divided by 4 is 5.25 so you'd be payingmore at "no mess or stress dry"
Determine if the representation below is an example of a function or not a function (1,3), (3,3), (4,5), (6,5), (7,7), (9,7)
Answers
Answer:
Yes.
Step-by-step explanation:
No x value is used twice.
What does not contribute to the destruction of the rainforest in Brazil? farming and ranching cutting down trees to sell the wood constructing a highway having heavy rains
Answers
Answer:
heavy rains
Step-by-step explanation:
it makes the forest grow!!1!!1!!!!11111!1!!
SOMEONE PLEASE HELP ME
There are 72 items on Ginny's bookshelf. of the items are hardcover books, 3 Imtia of the items are softcover books. 9 • The remaining items are DVDs. How many DVDs are on Ginny's shelf?
Answers
Answer:
There are 60 dvds.
Step-by-step explanation:
72 - 3 - 9 = 60
A box of chocolates was shared evenly between 5 people. Each person received 4 chocolates.
How many chocolates were in the box?
Answers
Answer:
20
Step-by-step explanation:
5x4=20
plz give me a thx! IF I HELPED :)
The graph of a function is shown on the coordinate plane below.
Which statement correctly describes the function on a given interval?
Answers
Answer: D
Step-by-step explanation:
I did it
The statement that correctly describes the function is:
The function is decreasing and nonlinear from x = 4 to x = 11.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
From the graph,
We see that,
The function is increasing and nonlinear from x = -7 to x = -4.
The function is constant and linear from x = -4 to x = 1.
The function is increasing and nonlinear from x = 1 to x = 4.
The function is decreasing and nonlinear from x = 4 to x = 11.
Thus,
The function is decreasing and nonlinear from x = 4 to x = 11.
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the percent of the principal that is earned in return for loaning the bank the funds?
a. compound interest
b. simple interest
c. interest rate
d. principal
Answers
Answer:
B
Step-by-step explanation:
which of the following is a example of a proportional relationship
*photo is down there
show proof for brainliest
Answers
Answer:
The third one
Step-by-step explanation:
You multiply x by 6 to get y. 1x6=6, 2x6=12, 3x6=18.
NEED HELP I WILL MARK BRAINLIEST PLZ HELP
Answers
Now if we find the area of circle, we have to multiply the quadratic of the radius by pi.
A=(3in)^2*3.14=9*3.14=28.26in^2
Now we can find the volume by multiply the area and the height.
V=28.26*8=226.08in^3
Now if we find the cube volume
V=a*b*h=15*9*9=1215in^3
V(toral)=226.08+1215=1441.08in^3
I hope this helped :)
What is the percent difference between comedy and
action?
a) 22%
b) 5%
c) 13%
d) 10%
5
Answers
Answer: 22%
Step-by-step explanation:
Find the sum of these
Answers
Step-by-step explanation:
5x² - 8x + 2 + x² - 6x +3
= 6x²- 14x + 5
Pls help need help with answer b
Answers
Answer:
Field hockey has a higher variation of heights.
There is more of a difference between the different heights in field hockey.
What is the Area of the right angle
Answers
Answer:
141.96
Step-by-step explanation:
The area or solution for the area of a triangle is base* height divided by 2 so what I did was 31.2cm as the base and 9.1 as the height and I multiplied them together and then I divided by 2! Hope this helped!
If gas costs $2.19 per gallon, how many whole gallons of gas could you buy with $17.00? (Make sure to answer with a whole number.)
Answers
With $17.00, you can buy approximately 8 whole gallons of gas.
To calculate the number of whole gallons of gas that can be bought with $17.00, we need to divide the total amount of money by the cost per gallon.
Given that the cost of gas is $2.19 per gallon, we can set up the following equation:
Number of gallons = Total money / Cost per gallon
Substituting the values into the equation, we have:
Number of gallons = $17.00 / $2.19
Performing the division, we get:
Number of gallons ≈ 7.7625570776255707762557077626
Since we are asked to provide a whole number, we round the decimal to the nearest whole number:
Number of gallons ≈ 8
It's important to note that this calculation assumes that the cost per gallon remains constant, and any taxes or additional fees are not taken into account. Additionally, the actual number of gallons that can be purchased may vary depending on the specific pricing and location.
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Please Help!, Brainliest to whoever helps
Answers
What is the value of 6
364
484
1.365
1.456
Answers
Answer:
I think it is C
Step-by-step explanation:
If I'm wrong try B
Courtney made a 5.5 foot ramp
to help her dog get in her minivan.
If the back of her van is 3 feet
from the ground, what will be the
angle of elevation from the base of
the ramp to the van?
Answers
9514 1404 393
Answer:
33°
Step-by-step explanation:
We assume the 5.5 foot measurement is the length of the ramp surface. It will be the hypotenuse of a right triangle with the 3 ft side opposite the angle of interest. The applicable relationship is ...
Sin = Opposite/Hypotenuse
sin(angle) = (3 ft)/(5.5 ft)
angle = arcsin(3/5.5) ≈ 33.0°
The angle of elevation of the ramp is about 33°.
For positive acute angles A and B, it is known that sin A = 8/17 and cos B = 24/25
Find the value of sin(A + B) in simplest form.
Answers
Answer:
Step-by-step explanation:
Here we use the SUM FORMULA: sin(a + b) = sin a cos b + cos a sin b
sin(A + B) = sin A*cos B + cos A*sin B. We are not given cos A or sin B and so must find them using the Pythagorean Theorem x^2 + y^2 = z^2.
Looking at sin A = 8/17, we see that the "opposite side" is 8 and the "hypotenuse" is 17. Then (adjacent side) = √(17² - 8²) = 15; that is, the side adjacent to Angle A is 15. Thus, cos A = 15/17 and sin A = 8/17.
We find sin B similarly. cos B = (side adjacent to B)/25 = 24/25. Therefore the side opposite B is √(25² - 24²) = 7. Thus, sin B = 7/25 and cos B = 24/25.
Then sin (A + B) = sin A*cos B + cos A*sin B
= (8/17)*(24/25) + (15/17)(7/25)
Here there are two products of fractions. This product (above) can be rewritten as
8(24) + 15(7) (3)(64) + (3)(5)(7)
= sin A*cos B + cos A*sin B = --------------------------- = --------------------------
17(25) 17(25)
x^(2)y^(2)-3x^(2)+2y^(2)-6
Answers
Answer:
i dont know if you want me to simplify but if you do simplify this expression you get
-2x^2+3y^2-6
Step-by-step explanation:
One bar of candy A and two bars of candy B
have 767 calories. Two bars of candy A and
one bar of candy B contain 775 calories. Find
the caloric content of each candy bar.
Answers
I'm not 100% sure, but imma have a go.
Answer:
a = 261; b = 253
Step-by-step explanation:
label candy bar A as a
label candy bar B as b
Make 2 equations.
2b + a = 767 (1)
b + 2a = 775 (2)
Solve for a in (1)
2b + a = 767 (-2b)
a = -2b + 767
Substitute for into (2)
b + 2( -2b + 767 ) = 775 (flip)
2( -2b + 767 ) + b = 775 (solve)
−4b + 1534 + b = 775 (add b)
-3b + 1534 = 775 (subtract 1534 from both sides)
−3b = −759 (divide both sides by 3)
b = 253
Substitute b into (1)
a = -2b + 767 (substitute)
a = -2 (253) + 767 (solve)
a = -506 + 767 (add)
a = 261
true or false
1) m<1=50 degrees
2) m<2=130 degrees
3) y=26 degrees
4) x=4 degrees
5) m<1+m<3=180 degrees
Answers
Answer:
1. true
2. false
3. false
4. false
5. false
Step-by-step explanation:
Find the value of x in the triangle shown below 8 10
Answers
Answer:
x = 6
Step-by-step explanation:
pythagorean theorem
a^2 = c^2 - b^2
a^2 = 10^2 - 8^2
a^2 = 100 - 64
a^2 = 36
sqrt a^2 = sqrt 36
a = 6
CHECK:
6^2 + 8^2 = 10^2
36 + 64 = 100
yes.
Class intervals in a grouped frequency distribution are given as 4−11, 12−19, 20−27, 28−35, 36−43. Write the next two class intervals.
i) what is the each class interval?
ii) write the class boundaries of all classes?
iii) what are the class marks of each class?
Answers
Answer:
{44-55}{52- 59 } are the last two interval sStep-by-step explanation:
To get the class boundaries deduct 0.5 from the first number and add 0.5 to the second number = 4-0.5 = 3.5 = 11.5 + 0.5 = 11.5 = 3.5 -11.5 as in the fish class boundary .same for all other boundariesWhat is the area of the square pictured here?
2 in.
2 in.
Answers
Answer:
4in
Step-by-step explanation:
To find area, you must multiply the given measurement.
2x2=4
Area= 4in
Hope this helps:)