Someone please help!

You are purchasing a new car. In order to determine which car will provide maximum savings, you’ve researched miles per gallon (

Flauer [41]

Answer:

$\frac{18000}{x}$ defines the gallons of the gas consumed by the old car in one year.

Step-by-step explanation:

If I purchase a car, I will definitely concentrate on a factor that is gas consumed by the car in a year.

As per statement given in the question if gas is $3.45 per gallon and I drive an average of 18000 miles per year.

If x miles per gallons is the average of the old car and y miles per gallons is the average of of new car.

Then total difference in gallons of the gas consumed by the old and new cars will be represented by the equation.

g(x) = 3.45 $(\frac{18000}{x})$ - 3.45 $(\frac{18000}{y} )$

Here, $\frac{18000}{x}$ defines total number of gallons of the gas consumed by the old car in one year.

6 0

3 years ago

Help now please :))))

tino4ka555 [31]

Answer: the last one

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Given a two-digit number, make a three digit number by putting a 6 as the rightmost digit. Then, add 6 to the resulting three di

VladimirAG [237]

By working backwards,
you get 76 as your answer because you have to remove the rightmost digit, right? so the three-digit number is 

76x 
(x stands for the rightmost digit, because we don't know what the rightmost digit is) 

we are told we have to add six to the three digit number to get 76x, so we have to subtract 6 from 76x: 
76x - 6 = ??? 

since we assume that the original two-digit number is NOT 76, and any number from 760 to 765 inclusive minus 6 is logically in the 750-range, we can conclude that the original two-digit number is 75.

5 0

3 years ago

If f(x)=1/3x^2+5, find f(-9)

Yuliya22 [10]

F(-9)= 1/3(-9)^2 + 5

F(-9) = 1/3(81) + 5
= 27 + 5

= 32

Hope this helps!

5 0

3 years ago

Read 2 more answers

When 238 is divided by the natural number n, the quotient is 3 more than n, and there is no remainder. What is n?

brilliants [131]

Answer:

n = 14

Step-by-step explanation:

Write the equation in algebraic (numbers and symbols) form

$\frac{238}{n}$ = n + 3 Rearrange the equation

$n\frac{238}{n}$ = n(n + 3) Multiply both sides by 'n'

238 = n(n + 3) On the left, multiplying and dividing by 'n' cancels out

238 = n² + 3n Distributed right side

0 = n² + 3n - 238 Rearranged to standard form for quadratic equations

Remember standard form for quadratic equations is: ax² + bx + c = 0

State the variables a, b and c:

a = 1; b = 3; c = -238

When a quadratic equation is in standard form, you can use the quadratic formula to solve for 'n'. (Usually, you see the variable 'x', but the quadratic formula can solve for 'n' as if it is 'x', as long as it's in standard form.)

$n = \frac{-b±\sqrt{b^{2}-4ac}}{2a}$ (ignore the Â, it's a formatting error)

$n = \frac{-(3)±\sqrt{(3)^{2}-4(1)(-238)}}{2(1)}$ Substitute the values for 'a', 'b' and 'c' from the equation

$n = \frac{-3±\sqrt{9-(-952)}}{2}$ In the root, two negatives make a positive

$n = \frac{-3±\sqrt{9+952}}{2}$ Add inside the root

$n = \frac{-3±\sqrt{961}}{2}$ Find the square root of 961

$n = \frac{-3±{31}{2}$ Split the equation at the ±

Split for adding:

$n = \frac{-3+31}{2}$ Simplify

n = 14

Split for subtracting:

$n = \frac{-3-31}{2}$ Simplify

n = -17

You get the answers 14 and -17 for 'n'. Decide which one is 'inadmissible', meaning it can't be right even if it solves the equation.

The problem says 'n' is a natural number. Natural numbers are all non-partial numbers count up from 1. (Non-partial means as a fraction, they are reduced to a number over 1). Since -17 is less than 1, it is inadmissible because it is not a natural number.

Therefore, 'n' is 14.

8 0

3 years ago