X + 3 would be the expression representing pete's age.

if jamie's brother pete is 3 years older than jamie, and jamie's age is x, then jamie's age plus 3 years would be pete's age. for example, if jamie is 5:

5 + 3 = 8, making pete's age 8.

6 0

2 years ago

Jeremy is driving on the interstate highway, and he just saw a sign that said Montpelier was 52 miles away. If he's driving at 6

harina [27]

Answer:

48 min

Step-by-step explanation:

1 h = 60 min

It takes 60 min to go 65 mi.

Time = 52 × 60/65

Time = 48 min

7 0

2 years ago

If f(x)=5x-12, find a value for $x$ so that f^{-1}(x)=f(x+1).

Vinil7 [7]

Answer:

$\boxed{\sf \ \ \ x=\dfrac{47}{24} \ \ \ }$

Step-by-step explanation:

Hello,

f(x)=5x-12

we need to find x so that

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

<u>so first of all we can write</u>

$x = (fof^{-1})(x)=f(f^{-1}(x))=5f^{-1}(x)-12\\\\5f^{-1}(x)=x+12\\\\f^{-1}(x)=\dfrac{x+12}{5}$

and f(x+1) = 5(x+1) - 12 = 5x + 5 -12 = 5x - 7

then solving

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

is equivalent to

$\dfrac{x+12}{5}=5x-7 \ multiply \ by \ 5 \\\\ x+12 = 5(5x-7)=25x-35\\ 25x-x=12+35\\\\24x=47\\\\x=\dfrac{47}{24}$

Hope this helps

4 0

2 years ago

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