MATHEMATICS COLLEGE

Which expression shows the prime factorization of 40? 2 × 2 × 5 2 × 2 × 2 × 5 2 × 5 × 5 2 × 5 × 5 × 5

Answers

Answer 1
Answer:

Answer:

2 × 2 × 2 × 5

Step-by-step explanation:

2 × 2 =4×2 =8×5=40
Answer 2
Answer:

Answer:

2·2·2·5

Step-by-step explanation:

2·2=4·2=8·4=40

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I need help finding the domain and range, I already know is not a function​

Answers

Answer:

Domain: [-4, 4]

Range: [-3, 5]

Function? No

Step-by-step explanation:

Domain is all x-values that can be inputted in the graph that returns an output.

Range is all y-values that are outputted when x is inputted.

A function has to pass the Vertical Line Test.

10 POINTS Solve for x:
2x-7=5x+13

x = -20/3
x = -7
x = 22/3

Answers

The answer is X= -20/3 :)


Subtract 2x to both sides and subtract 13 from both sides

-20 = 3x

Divide 3 from both sides to isolate x

-20/3=x
First do 5x - 2x and you get 3x.
Now the equation is -7 = 3x + 13.
Next do -7 - 13 and you get -20.
The final step is to do -20 divided by 3 and you get -20/3.

The answer is x = -20/3

The minimum monthly payment for Janice’s credit card is 2% of her balance or $10, whichever is higher. If Janice’s balance at the end of her last billing cycle was $820, what is her minimum monthly payment?A) $16.40
B) $10.00
C) $25.20
D) $5.20

Answers

820*.02=16.4
correct answer is A) $16.40
$16.40 *apex answer*

1. A cab driver charges a flat rate of $7 for the first mile driven and $2 for every mile after that. If thecost of the cab ride is modeled by the expression 7 + 2(x - 1). What does (x - 1) represent?

Answers

Answer:

The number of miles driven after

Step-by-step explanation:

is how much they charge flat out

2 dollars for each mile after the first

x-1 tells you how many miles they have driven after the first

If f(x) = 2x^2+ 1 and g(x)= x^2-7, find (f-g)(x)

Answers

Answer:

2x squared +1 (-)x squared -7 is

a.) x squared +8

Step-by-step explanation:

:)

The profit on a teddy bear can be found by using the function P(x) = - 2x2 + 35x - 99 where x is the price of the bear.Calculate the price that maximizes profit.

Answers

Answer:

x=8.75

Step-by-step explanation:

The price x that maximizes profit is the maximum value of the function, and the maximum value of the function is located at a point where the first derivative of the function is equal to zero. The first derivative is:

P(x) = - 2x^2+35x-99\nP'(x)=-2(2)x^((2-1))+35(1)-0\nP'(x)=-4x+35

Using P'(x)=0:

0=-4x+35\n4x=35\nx=35/4\nx=8.75

The minimum value of the function is also at a point where the first derivative of the function is equal to zero. To differentiate if x=8. is a minimum or a maximum obtain the second derivative and evaluate it at x=8.75 if the value P''(x)>0 x is minimum and if P''(x)<0 x is a maximum.

P'(x)=-4x+35\nP''(x)=-4(1)\nP''(x)=-4

Evaluating at x=8.75:

P''(8.75)=-4

Therefore, x=8.75 is the maximum value of the function and it is the price that maximizes profit.
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