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2 years ago

A clothing store is going out of business sale. they are selling pants for 8.99

Mathematics

1 answer:

krek1111 [17]2 years ago

6 0

Answer:

x/3-10=8

x/3=18

x=48

Step-by-step explanation:

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Show algebraically that f and g are inverse functions: g = sqrt(x+8)-4 f=x^2+8x+8

Tema [17]

Answer:

See Below.

Step-by-step explanation:

By definition, if two functions, f and g, are inverses, then:

$\displaystyle f(g(x)) = g(f(x)) = x$

We are given the two functions:

$\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8$

Find f(g(x)) and g(f(x)):

$\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}$

And:

$\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}$

Hence, f and g are indeed inverses of each other.

8 0

2 years ago

Read 2 more answers

Help please. Need to get this right to get 100%

Anna35 [415]

Answer:

Step-by-step explanation:

$f(x) = \frac{4}{x}\\\\f(a) = \frac{4}{a}\\\\f(a+h) = \frac{4}{a+h}\\\\\frac{f(a+h) - f(a)}{h} = \frac{\frac{4}{a+h} - \frac{4}{a}}{h}$

$=\frac{\frac{4(a)}{(a+h)a} - \frac{4(a+h)}{a(a+h)}}{h}\\\\=\frac{\frac{4a - 4a - 4h}{a(a+h)}}{h}\\\\=\frac{\frac{ - 4h}{a(a+h)}}{h}\\\\= \frac{-4h}{a(a+h) \times h}\\\\= -\frac{4}{a(a+h)}\\\\$

5 0

2 years ago

Pls help asap no wrong answers------------

miv72 [106K]

Answer:

0.75, 1.25

Step-by-step explanation:

first we bring the line equation into the same format as the parabola equation (y = ...)

3x - y = 1

y = 3x - 1

now we can say for the intersection points both equations must have the same result.

4x² - 1 = 3x - 1

4x² - 3x = 0

x(4x - 3) = 0

there are only 2 possible cases to make this true :

x = 0

and 4x - 3 = 0

4x = 3

x = 3/4 = 0.75

for the y value let's use the easier equation (line) :

y = 3×3/4 - 1 = 9/4 - 4/4 = 5/4 = 1.25

6 0

2 years ago

Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th

AURORKA [14]

I’m still looking but it may take me awhile I’m not the greatest at this but this is what I have:
A=50
B=50
C=58
M=130

5 0

2 years ago

24 cm ,18cm ,c We are looking for c

Ierofanga [76]

Step-by-step explanation:

we can find the value of c by Pythagoras theorem

according to Pythagoras theorem

h² = a² + b²

where

h = hypotenuse (i.e. longest side of a right angled triangle)

a = side

b = base

so, we have to find h or hypotenuse here

h² = (24)² + (18)²

h = 576 + 324 = 900

h² = √900 = 30

c = 30

therefore, value of c is 30.

Hope this answer helps you dear!

3 0

1 year ago

A clothing store is going out of business sale. they are selling pants for 8.99​

A clothing store is going out of business sale. they are selling pants for 8.99