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3 years ago

10

Sam's age is five years more than twice Jessica's age. Together, the sum of their ages is 17. Let J = Jessica's age. How old is

Sam?

2 answers:

Harman [31]3 years ago

8 0

17-5=12
12/2=6
i think

hammer [34]3 years ago

4 0

Equation:
2j + 5 = 17
- 5 - 5
2j = 12
j = 6

Hope I helped!

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4 0

4 years ago

Find the inverse of f(x) = -4x - 12

olga2289 [7]

Answer:

$\implies f^{-1}(x) =-\dfrac{x}{4}-3$

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

f(x) = -4x-12

And we need to find out the Inverse of the function . Let us assume that f(x) = y . Now , firstly replace x with y and vice versa.

<u>Function</u><u> </u><u>:</u><u>-</u><u> </u>

$\implies f(x) = -4x - 12 \\\\\implies y = -4x-12$

<u>Interchanging</u><u> </u><u>x </u><u>and </u><u>y </u><u>:</u><u>-</u><u> </u>

$\implies x = -4y - 12$

<u>Solve </u><u>out</u><u> </u><u>for </u><u>y </u><u>:</u><u>-</u><u> </u>

$\implies x = -4y - 12 \\\\\implies -4y = x +12 \\\\\implies y =\dfrac{x+12}{-4}\\\\\implies y =-\dfrac{x}{4}-3$

<u>Replace</u><u> </u><u>y with</u><u> </u><u>f-¹</u><u>(</u><u>x)</u><u> </u><u>:</u><u>-</u><u> </u>

$\implies f^{-1}(x) =-\dfrac{x}{4}-3$

<u>Hence </u><u>the </u><u>inverse</u><u> of</u><u> the</u><u> function</u><u> is</u><u> </u><u>-x/</u><u>4</u><u>-</u><u>3</u><u> </u><u>.</u>

8 0

3 years ago

Slope -8 and y intercept 7

max2010maxim [7]

Answer:

The equation of Line is y = - 8x + 7

Step-by-step explanation:

Given as :

The slop of line is - 8

And The y intercept is 7

As the equation of line is y = mx + c

For y intercept , x = 0

So, With y intercept and slop ,

7 = (-8)× (0)+ c

Or, c = 7

So the equation of line is

y = mx + c

I.e y = ( - 8 ) x + 7

Hence The equation of Line is y = - 8x + 7 Answer

8 0

3 years ago