Given that f(x) = 2x −5, find the value of x that makes f(x) = 15.

Answers

Answer 1

Answer: f(x) = 2 x - 5

15 = 2 x - 5

2 x - 5 = 15

2 x = 15 + 5

2 x = 20

x = 20 / 2

x = 10

hope this helps!

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What is the solution to log( x/4)2

Answers

Answer: simplify then, answer will be log(x2/16)

Mike is pouring a two foot cement sidewalk around the perimeter of his swimming pool. His swimming pool measures 6 feet by 14 feet. If he plans for the sidewalk to be 9 inches deep, what volume of cement is needed for the sidewalk?

Answers

9 inches * 1 foot / 12 inches
= 3/4 feet deep

Area of the sidewalk:
= the sides of the pool * the width of the sidewalk + the corners of the sidewalk (width * width)
= 2 sides * 6 (feet / side) * 2 feet + 2 sides * 14 (feet / side) * 2 feet + 4 corners * (2 feet * 2 feet / corner)
= 12 feet * 2 feet + 28 feet * 2 feet + 4 * 2 feet * 2 feet
= 24 feet^2 + 56 feet^2 + 16 feet^2
= 96 feet^2

Volume:
= 96 feet^2 * 3/4 feet
= (96 * 3 / 4) feet^3
= (19 * 3) feet^3
= 57 feet^3

Answer:

the correct answer is B) 72^ft 3

Examples of prime numbers

Answers

1,2,3,5,7,11.... Any number that are only divisible by 1 and the number itself

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x^2 – x + 200. The number of toy cars sold is represented by x.If the profit is the difference between the revenue and the cost, what expression represents the profit?
3x – 260
3x + 140
5x – 260
5x + 140

Answers

Answer:

The expression which represents profit is:

$5x-260$

Step-by-step explanation:

The number of toy cars sold is represented by: x.

Now, the revenue, in dollars of a company is given by the polynomial function:

$R(x)=3x^2+4x-60$

and the cost, in dollars of producing the toy car is given by the polynomial expression:

$C(x)=3x^2-x=200$

Also, let P(x) denote the profit function.

It is given that:

Profit is the difference between the revenue and the cost.

i.e.

$Profit=R(x)-C(x)\n\ni.e.\n\nP(x)=R(x)-C(x)\n\ni.e.\n\nP(x)=3x^2+4x-60-(3x^2-x+200)$

( Now we know that if the sign before the parentheses is negative then the terms inside the parentheses open up with opposite signs)

i.e.

$P(x)=3x^2+4x-60-3x^2+x-200\n\ni.e.\n\nP(x)=3x^2-3x^2+4x+x-6-200$

( Since, on combining the like terms)

i.e.

$P(x)=5x-260$

Hello,

P(x)=3x²+4x-60-(3x²-x+200)=5x-260

Answer C

Which of the following expressions represents a function?{(1, 2), (4, –2), (8, 3), (9, –3)}

y2 = 16 − x2

2x2 + y2 = 5

x = 7

Answers

{(1, 2), (4, –2), (8, 3), (9, –3)} and x = 7 represents a function.

Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. They plan to charge $15 to mow one lawn. They would like to earn a profit of at least $750Part A: Define a variable to represent the unknown quantity in this situation.

Part B: Write an inequality to represent the amount of money charged per lawn, the cost of the lawnmower and the profit.

Answers

Answer:

I got 65

Step-by-step explanation:

The profit will be given as:

P=$15x−$225

(where we subtracted the cost of the mower) so that P=$750

x will be the required number of needed lawns.

We need to solve:

$750=$15x−$225

rearranging:

x=$750+$225 / $15 =65 lawns

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