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ankoles [38]
3 years ago
9

Which function is a quadratic function

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0
One-to-one and one-to-many relation is a function
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Function to inverse function f(x) =2x/3-17
ZanzabumX [31]

Answer:

Inverse function is f^{-1}(x)=\frac{3}{2}x+\frac{51}{2}.

Step-by-step explanation:

Given function is f\left(x\right)=\frac{2}{3}x-17.

Now we need to find the inverse of the given function.

Step 1: replace f(x) with y

y=\frac{2}{3}x-17

Step 2: switch x and y

x=\frac{2}{3}y-17

Step 3: solve for y

x=\frac{2}{3}y-17

x+17=\frac{2}{3}y

\frac{3}{2}(x+17)=y

\frac{3}{2}x+\frac{51}{2}=y

Hence required inverse function is f^{-1}(x)=\frac{3}{2}x+\frac{51}{2}.

3 0
3 years ago
Equation 1:Ax+By=C Equation 2:Dx+Ey=F A, B, C, D, E, and F are non-zero real numbers. Which of the following could replace equat
Gnesinka [82]
A, B and E.

Adding and multiplying the terms allow them to keep working. However, you must make sure that each variable is changed each time. Not just one as in C and D. 
7 0
3 years ago
Simplify:<br> 25x - 6X - 18x + 7
azamat

Answer:

x+7

Step-by-step explanation:

25x - 6x - 18x + 7

x + 7

6 0
2 years ago
Scientific Notation<br> 7.28 x 10^10
Vsevolod [243]

Answer:

72800000000

Step-by-step explanation:

7.28 * 10^10 = 72800000000

7 0
3 years ago
Read 2 more answers
A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate
Alex777 [14]

Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s        

First, we need to find the other side of the triangle:  

H^{2} = B^{2} + L^{2}

L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}}

Now, the area (A) of the triangle is:            

A = \frac{BL}{2}  

Hence, the rate of change of the area is given by:

\frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}]      

\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}]        

\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}]  

\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9]      

\frac{dA}{dt} = 15.75 ft^{2}/s  

     

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!                                    

5 0
3 years ago
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