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3 years ago

15

Last year, Americans paid $2.00 per gallon of gas. This year, the price is $2.40 per gallon. What is the percent of change in th

e price of gas?

1 answer:

xxTIMURxx [149]3 years ago

7 0

So it's 2.40 subtract 2, which is 0.4

then put it over 2, you get 0.4/2, which is equal to 0.2

0.2= 20% so it's 20% of increase

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mover mike stacked 4 congruent shipping shipping crates. Each crate measured 3 feet in height. How tall is stack of shipping cra

muminat

The height of stack is 36 feet.

<h3>What is unitary method?</h3>

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value

Given:

height of 1 crate = 3 feet

height of 1 crate in inch = 3*12

= 36 feet

Hence, the height of stack of shipping crates is 36 feet.

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1 year ago

Which pair of funtions is not a pair of inverse functions? please help!!

antiseptic1488 [7]

Answer:

$f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Step-by-step explanation:

we know that

To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.

we will proceed to verify each case to determine the solution of the problem

<u>case A)</u> $f(x)=\frac{x+1}{6} , g(x)=6x-1$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y+1}{6}$

Isolate the variable y

$6x=y+1$

$y=6x-1$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=6x-1$

therefore

f(x) and g(x) are inverse functions

<u>case B)</u> $f(x)=\frac{x-4}{19} , g(x)=19x+4$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y-4}{19}$

Isolate the variable y

$19x=y-4$

$y=19x+4$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=19x+4$

therefore

f(x) and g(x) are inverse functions

<u>case C)</u> $f(x)=x^{5}, g(x)=\sqrt[5]{x}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=y^{5}$

Isolate the variable y

fifth root both members

$y=\sqrt[5]{x}$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=\sqrt[5]{x}$

therefore

f(x) and g(x) are inverse functions

<u>case D)</u> $f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y}{y+20}$

Isolate the variable y

$x(y+20)=y$

$xy+20x=y$

$y-xy=20x$

$y(1-x)=20x$

$y=20x/(1-x)$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=20x/(1-x)$

$\frac{20x}{1-x}\neq \frac{20x}{x-1}$

therefore

f(x) and g(x) is not a pair of inverse functions

7 0

3 years ago

Read 2 more answers

Simplify and evaluate without a calculator. 3*(m-4)-n*(m-4) if m=5 and n=3

Katarina [22]

Answer:

0

Step-by-step explanation:

3*(m-4)-n*(m-4) m = 5, n = 3

3*(5-4)-3*(5-4)

3*(1)-3*(1)

3-3

0

6 0

2 years ago

Read 2 more answers

Round 69581. 491337 to the nearest thousand

Vadim26 [7]

Answer:

7000

Step-by-step explanation:

If it is 5 or more, then round up. If it is 4 or less, then round down.

3 0

3 years ago

Read 2 more answers

2(x 4) = 35 − (7 − 4x)

Rus_ich [418]

2(x4) = 35 - (7-4x)
+4x
2(x8)= 28
/2 /2
8x = 14

6 0

3 years ago