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2 years ago

Need help, look at attachment

Mathematics

1 answer:

Archy [21]2 years ago

6 0

Answer:

angle 1 and angle 8 are co exterior angles. so, their sum is equal to 180°.

28°+ angle 8 =180°

angle 8=180°-28°

angle 8=152°

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Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-d

SashulF [63]

Answer:

The age of pluto is:

5,560,000,000 years old = 5.56 × 10⁹ years old

x = 5.56

y = power of 9

Step-by-step explanation:

Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.

We write this in standard form or scientific notation.

5,560,000,000 years old = 5.56 × 10⁹ years old

x = 5.56

y = power of 9

4 0

2 years ago

Simplity -4/3 ➗2/-6 -4 -2 2 4 I

yulyashka [42]

Answer:

-4

Step-by-step explanation:

-4/3÷2/-6

⇒ -4/3×-6/2

⇒ -24/6

⇒ -4

7 0

2 years ago

How to round 106.327 to nearest hundredths explain

scoray [572]

Answer:

106.33

Step-by-step explanation:

after decimal you have .3 tenths 2 hundredths 7 thousandths

to round to the nearest hundredths look at thousandths 7 becasuse is greater then 5 then you round up

106.327 is rounded to 106.33

8 0

2 years ago

Read 2 more answers

Place the steps for finding f'(X) in the correct order. Plz help Thank you!

SashulF [63]

Answer:

See below

Step-by-step explanation:

Given function is ,

=> f(x) = 4x + 7.

Replace f(x) with y ,

=> y = 4x + 7

For finding the inverse , interchange x and y ,

=> x = 4y + 7

Now solve for y ,

=> 4y = x - 7

=> y = x-7/4

Replace y with f-¹(x) ,

=> f-¹(x) = (x-7)/4

These are the required steps .

8 0

2 years ago

4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail

Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

$h^{-1}(x)=\sqrt{\frac{x+1}{3}}$ ⇒ answer D

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = $f^{-1}(x)$

* Lets use these steps to solve the problems

∵ $f(x)=\sqrt{x-3}$

∵ f(x) = y

∴ $y=\sqrt{x-3}$

- Exchange x and y

∴ $x=\sqrt{y-3}$

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by $f^{-1}(x)$

∴ $f^{-1}(x)=x^{2}+3$

∵ g(x) = x² + 3

∴ $f^{-1}(x)=g(x)$

∴ The functions are inverses to each other

* Now lets find f(g(x))

- To find f(g(x)) substitute x in f(x) by g(x)

∵ $f(x)=\sqrt{x-3}$

∵ g(x) = x² + 3

∴ $f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x$

∴ f(g(x)) = x

∴ The functions are inverses; f(g(x)) = x

* Lets find the inverse of h(x)

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ $\frac{x + 1}{3}=y^{2}$

- Take √ for both sides

∴ ± $\sqrt{\frac{x+1}{3}}=y$

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ $\sqrt{\frac{x+1}{3}}=y$

- replace y by $h^{-1}(x)$

∴ $h^{-1}(x)=\sqrt{\frac{x+1}{3}}$

4 0

3 years ago