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IrinaVladis [17]
2 years ago
8

4tan(x)sin(x)+5sec(x) simplifies to A sec(x) - B cos(x)

Mathematics
1 answer:
Bad White [126]2 years ago
3 0

Answer:  (sec x – tan x)(csc x + 1).

Step-by-step explanation:

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Which equation is the inverse of y = 9x2 - 4?
m_a_m_a [10]

Answer:

The inverse will be:

y' = \frac{\sqrt{x+4}}{3}

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

f(x)  = 9x^{2} - 4

y = 9x^{2} - 4

x = 9y' ^{2} - 4

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

x + 4= 9y'^{2} - 4+4

9y'^{2} = x + 4

Second divide by 9

9y'^{2}/9 = (x + 4)/9

y'^{2} = (x + 4)/9

Now you will have to clear y, with the square root.

[tex]y'^{\frac{2}{2}} = \sqrt{x + 4}  / \sqrt{9}[/tex] =

Simplifying terms

y' = \frac{\sqrt{x+4}}{3}

f^{-1}(x)  = \frac{\sqrt{x+4}}{3}

You can check the answer by doing the evaluation of the following equation:

(f o f^{-1} ) (x)

substitute the equation for y' or inverse function f^{-1}

f(\frac{\sqrt{x+4} }{3})

Now substitue the value into f(x)

You will have

= 9(\frac{\sqrt{x+4} }{3}} )^{2}  - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} )  - 4

=x

5 0
3 years ago
Please Helpppp!!!! A man has 10 more dimes than quarters. he has $2.75 how many of each coin does he have?
liberstina [14]

Answer: 3.75

Step-by-step explanation:

Ten dimes make a dollar.One dime can be written 10¢ or $0.10.

he has $2.75+1.00=375

4 0
2 years ago
Solution set for 6a^2-a-5=0
VMariaS [17]
(step 1) (6a+5)(a-1)=0

 (step 2) 6a+5=0 or a-1=0

answer is
a= -5/6 or a= 1
 i hope this helps! ;)
6 0
3 years ago
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What function is the inverse of the exponential function y = 3x?
lukranit [14]

Answer:I dont know not gonna lie

Step-by-step explanation:

7 0
3 years ago
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Anyone know how to do these? Show work if you do
Vlada [557]
I know how to but i don't know how to reply with a picture
6 0
2 years ago
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