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Marina86 [1]
3 years ago
7

HELP ASAP !!!!!!!!!!!! plz

Mathematics
1 answer:
Allushta [10]3 years ago
8 0

I can't see the attachment.

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Find the inverse of f(x)=−3/2x+7/2.
timama [110]

Answer: f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

y=-\frac{3}{2}x+\frac{7}{2}                       [replace y with x and x with y]

x=-\frac{3}{2}y+\frac{7}{2}                       [subtract both sides by 7/2]

x-\frac{7}{2} =-\frac{3}{2}y                       [multiply both sides by -2/3]

-\frac{2}{3} (x-\frac{7}{2} )=y                     [distribute]

y=-\frac{2}{3}x+\frac{7}{3}

Now, we have our inverse function.

f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}

7 0
3 years ago
Write a function that has x-intercepts at x=4 and<br> X=- 6 and vertical asymptotes at x=5 and x =3
sergiy2304 [10]
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6 0
3 years ago
Please help me with this question.​
Evgen [1.6K]

Answer:

\purple{ \boxed{\frac{d^{2} y}{dx ^{2} }   =    \frac{132}{ {x}^{13} } }}

Step-by-step explanation:

y =  \frac{1}{ {x}^{11} }  \\ y =  {x}^{ - 11}  \\  \frac{dy}{dx}  =  \frac{d}{dx}  {x}^{ - 11}  \\ \frac{dy}{dx}  =   - 11{x}^{ - 11 - 1}  \\ \frac{dy}{dx}  =   - 11{x}^{ - 12}  \\  \\  \frac{d}{dx}  \bigg(\frac{dy}{dx}  \bigg) =  \frac{d}{dx}  ( - 11 {x}^{ - 12} ) \\  \\ \frac{d^{2} y}{dx ^{2} }   =   - 11\frac{d}{dx}  ( {x}^{ - 12} ) \\  \\ \frac{d^{2} y}{dx ^{2} }   =   - 11(  - 12{x}^{ - 13} ) \\  \\ \frac{d^{2} y}{dx ^{2} }   =   132{x}^{ - 13} \\  \\  \huge \red{ \boxed{\frac{d^{2} y}{dx ^{2} }   =    \frac{132}{ {x}^{13} } }}

8 0
3 years ago
A horizontal line on a distance time graph represents
DanielleElmas [232]

Answer:

<h3><em>A distance-time graph tells us how far an object has moved with time. The steeper the graph, the faster the motion. A horizontal line means the object is not changing its position - it is not moving, it is at rest.</em></h3>

4 0
4 years ago
Read 2 more answers
Multiply (2x + 12)(4x-2)
Murrr4er [49]

Answer:

8x^2-44x-24

Step-by-step explanation:

(2x + 12)(4x-2)

=>8x^2+48x-4x-24

=>8x^2-44x-24

6 0
3 years ago
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