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jekas [21]
3 years ago
5

Find the inverse of the function f(x) =x^2-5. Is the inverse a function?

Mathematics
1 answer:
Mariana [72]3 years ago
8 0
Y=x^2-5, solve for x

y+5=x^2

x=√(y+5) so 

f^-1(x)=√(y+5)
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Cate solved an inequality to find c, the possible number of cats that a shelter can house. She found that c < 28. Which state
stellarik [79]

Since the number of cats has to be less than 28, a statement could be "the shelter can house no more than 28 cats.

5 0
3 years ago
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Cade and Tyce both tried to find the missing side of the right triangle. A right triangle is shown. The legs are labeled 6 and 9
Talja [164]

Step-by-step explanation:

Two legs of the right triangle are 6 and 9. We can find its third side as follows :

a^2+b^2=c^2

The above is called Pythagoras theorem and it is applicable for a right angled triangle.

a,b and c are base, perpendicular and hypotenuse respectively

c is the third side

So,

c^2=6^2+9^2\\\\c=\sqrt{117} \\\\c=10.816\approx 10.82

Hence, Cade and Tyce both are correct. The length of the missing side is 10.82

7 0
3 years ago
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How do you solve the equation 2cos^2 - cosx = 0 for all solutions?
exis [7]

Answer:

<em>π/2 and π/3</em>

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

cosx = 0 and cos(x) =  1/2

If cos(x) = 0

x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

x = cos⁻¹1/2

x = 60⁰

x = π/3

<em>Hence the solutions to the equation are π/2 and π/3.</em>

7 0
3 years ago
Services provided by public service companies are also known as
sammy [17]
The answer is “housing expenses”
4 0
2 years ago
Solve for x: x + 8 = -3 show work please
nirvana33 [79]

Answer:

-11

Step-by-step explanation:

X + 8 = -3

x = -11

11-8

3

-11 - 8 = -3

6 0
3 years ago
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