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sleet_krkn [62]
3 years ago
5

F(x)=4- 3/2x g(x)=1/2x+3/2

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0
For inverse functions f(g(x)) = g(f(x)) = x

f(g(x)) = 4 - 3/2 (1/2 x + 3/2) = 4 - 3/4 x - 9/4 = 7/4 - 3/4x

Therefore, the functions are not inverses.
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The length of the longer leg of a right triangle is 6 inches more than twice the length of the shorter leg. The length of the hy
Studentka2010 [4]

9514 1404 393

Answer:

  15 in, 36 in, 39 in

Step-by-step explanation:

The Pythagorean theorem tells us that for short side x, the relation is ...

  (2x +9)² = (2x +6)² +x²

  4x² +36x +81 = 4x² +24x +36 +x²

  x² -12x -45 = 0 . . . . . subtract the left-side expression

  (x -15)(x +3) = 0 . . . . factor

  x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero

The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.

6 0
3 years ago
What is the point slope form of (-7,5) , (1,-1)​
qwelly [4]

Answer:

y-5=-2/3(x-(-7))

Step-by-step explanation:

I just learned this recently as well so bare with me.

So the point slope form is y-y1=m(x-x1)

So first we have to find the slope. So we do 5-(-1)/-7-1=-6/8=-3/4

So now, we just have to plug in the numbers.

So y-5=-2/3(x-(-7)).

I know that looks a little funky but if you used the slope intercept form, you would get the same answer if you just simplified this version. Of course, you don't have to simplify this version because this version is completely acceptable.

I hope this helped.

8 0
3 years ago
What is the solution: <br><br> 256x + 2 = 43x + 9
ruslelena [56]

<u>Answer:</u>

x = \bf \frac{7}{213}

<u>Step-by-step explanation:</u>

To find the solution to the equation, we have to rearrange the equation to make x the subject:

256x + 2 = 43x + 9

⇒ 256x + 2 - 2 = 43x + 9 - 2             [Subtracting 2 from both sides]

⇒ 256x = 43x + 7

⇒ 256x - 43x = 43x + 7 - 43x           [Subtracting 43x from each side]

⇒ 213x = 7

⇒ \frac{213}{213}x = \frac{7}{213}                                       [Diving both sides by 213]

⇒ x = \bf \frac{7}{213}

3 0
11 months ago
Read 2 more answers
What two numbers multiply to 50 but add up to 5
vichka [17]
I assume the question is multiply to -50 and add to +5... If so, the answer is +10 and -5. 10 (-5) = -50 .... and 10 + (-5) = +5
3 0
3 years ago
Read 2 more answers
Scenario for 300=60t
earnstyle [38]
Do you need to find what t is? If so, do 300 divided by 60 to get the t isolated. which is, 5.

you can check by doing 60*5 which is 300
4 0
2 years ago
Read 2 more answers
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