The table below shows the total cost of buying printer ink cartridges for both members and nonmembers of a shopping club.Price of Ink at Shopping Club
Number of ink cartridges purchased
Total cost for
members
(with membership fee)
Total cost for nonmembers
0
$30
0
1
$40
$25
2
$50
$50
3
$60
$75

Which statement is supported by the table?
The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.

The relationship between the number of cartridges purchased and the total cost is proportional for members but not for nonmembers.

The relationship between the number of cartridges purchased and the total cost is proportional for neither members nor nonmembers.

The relationship between the number of cartridges purchased and the total cost is proportional for both members and nonmembers.

Answers

Answer 1
Answer:

Answer:

The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.

Answer 2
Answer:

Answer:

Step-by-step explanation:

a


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Magda sold her car for $1,900. This was $300 less than twice the original purchase price. What was the original price of Magda's car? Let p represent the original price of the car.A .2p - 300 = 1,900; p = 1,100
B .300p = 1,900 + 2; p = 634
C .300 - 2p = 1,900; p = 800
D .2p = 1,900 - 300; p = 800

Answers

A is correct answer original price is 1100

Two spheres have are such that the radius of the bigger sphere is 3 times bigger than the smaller. What is the ratio of the area?

Answers

Answer:

1 : 27

Step-by-step explanation:

Radius of sphere one = r₁ = x units

Radius of sphere 2 = r₂ = 3*x = 3x units

Ratio of area of two sphere's = r₁³ : r₂³

                                                = x³ : (3x)³

                                                = (x^(3))/(3^(3)*x^(3))\n\n= (1)/(3^(3))\n\n= (1)/(27)

                                                 = 1 : 27

Which is greater a 2.75 gallon container or juice or 12 liter container of juice

Answers

a 2.75 gallon container because 2.75 gallons in liters is 12.5017475.

Two angles in a triangle add up to 135 degrees what is the size of the third angle?

Answers


This question is checking to see if you remember what the three angles
of any triangle always add up to.  Apparently you don't, or you would not
need to go out looking for somebody who does.

The three angles inside every triangle always add up to  180° .

If two of them add up to  135° , then that leaves

                           (180° - 135°) =  45° .

for the one remaining angle.

What numbers multiply to 6 and add up to 9

Answers

xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
                                 -x² + 9x = 6
                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
                             x² - 9x + 6 = 0
                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
                             x = 4.5 ± 0.5√(57)

                       x + y = 9
   4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
                             y = 4.5 ± 0.5√(57)
                       (x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).

Use the following table of the function f(x) = x4 − 4x to answer this question: x f(x)
-2 24
-1 5
0 0
1 -3
2 8
What is the average rate of change from x = −1 to x = 2?
A. −3
B. −1
C. 1
D. 3

Answers

we have

f(x)=x^(4)-4x

Step 1

Using the table find the value of f(x) for x=-1

x=-1\nf(-1)=5

Step 2

Using the table find the value of f(x) for x=2

x=2\nf(2)=8

Step 3

Find the average rate of change

we know that

the average rate of change is equal to the formula

(f(b)-f(a))/(b-a)

in this problem we have

f(b)=f(2)=8

f(a)=f(-1)=5

b=2

a=-1

substitute the values in the formula

(8-5)/(2+1)

(3)/(3)=1

therefore

the answer is the option C

the average rate of change is 1


A(x) = (f(x) - f(a))/(x - a) = (f(-1) - f(2))/(-1 - 2) = (5 - 8)/(-3) = (-3)/(-3) = 1
The answer is C.