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4 years ago

Which of the following is true for the relation f(x) = x2 + 8?

Mathematics

1 answer:

lilavasa [31]4 years ago

4 0

Answer:

Only the equation is a function

Step-by-step explanation:

we have

$f(x)=x^{2} +8$

Find out the inverse of f(x)

Let

y=f(x)

$y=x^{2} +8$

Exchange the variables (x for y and y for x)

$x=y^{2} +8$

Isolate the variable y

$y^{2}=x-8$

square root both sides

$y=(+/-)\sqrt{x-8}$

Let

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

$f^{-1}(x)=(+/-)\sqrt{x-8}$

The inverse function is not a function (because for one input value the function has two different output values)

therefore

Only the equation is a function

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You loaned a friend $100 and will charge him 5% annual simple interest when he pay it back

Arturiano [62]

The amount of interest after 3 years will be $15.

The complete question is given below.

You loaned a friend $100 and will charge him 5% annual simple interest when he pay it back. What is the amount of interest after 3 years?

<h3>What is simple interest?</h3>

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The interest is given as

I = (P × R × T) / 100

Where, P is the initial amount, R is simple interest rate, and T is the time.

We have

P = $100

R = 5%

T = 3 years

Then the interest will be

I = (100 × 5 × 3) / 100

I = $15

More about the simple interest link is given below.

brainly.com/question/2793278

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2 years ago

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Yes, an additional 4% of Americans now support the President's policy on Afghanistan.

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8 0

3 years ago

I don't understand how to answer this

IgorLugansk [536]

Answer:

$\large\boxe{D)\ \dfrac{1}{2}\pi\ feet}$

Step-by-step explanation:

Step 1:

Calculate the circumference of both circles.

The formula of a circumference:of a circle with radius r:

$C=2\pi r$

The circle R:

$C_R=2\pi\left(\dfrac{2}{3}\right)=\dfrac{4\pi}{3}\ ft$

The circle S:

$C_S=2\pi\left(\dfrac{3}{4}\right)=\dfrac{3\pi}{2}\ ft$

The length of the intercepted arc for circle R is

$l=\dfrac{4\pi}{9}\ ft$

Step 2:

Calculate what the part of the circumference of the circle R is the intercepted arc:

$\dfrac{4\pi}{9}:\dfrac{4\pi}{3}=\dfrac{4\pi}{9}\cdot\dfrac{3}{4\pi}=\dfrac{1}{3}$

The same length of the circumference of the circle S is searched for the length of the intercepted arc for circle S.

Step 3:

Calculate the length of the intercepted arc for circle S:

$\dfrac{1}{3}\cdot\dfrac{3\pi}{2}=\dfrac{1}{2}\pi\ ft$

4 0

3 years ago

3\sqrt{2} - 2\sqrt{18} + 6\sqrt{8}[/tex]

Stella [2.4K]

Answer:

$\sf \bold 9\sqrt{2}$

Step-by-step explanation:

<h3>Simplifying radicals</h3>

Step1: Prime fatorize and reduce to simplest form

Step2: Combine like radicals

$\sf 3\sqrt{2} - 2\sqrt{18}+6\sqrt{8}= 3\sqrt{2}- 2\sqrt{3*3*2}+6\sqrt{2*2*2}$

$\sf = 3\sqrt{2}-2*3\sqrt{2} +6*2\sqrt{2}\\\\=3\sqrt{2}-6\sqrt{2}+12\sqrt{2}\\\\=(3-6+12)\sqrt{2}\\\\ = 9\sqrt{2}$

5 0

2 years ago

Write an equation in standard form of the line passing through the points (12, 3) and (-3, 8).

aliya0001 [1]

Answer:

x + 3y = 21

Step-by-step explanation:

$(x_{1},y_{1})=(12,3) \\\\(x_{2},y_{2})=(-3,8)\\\\Slope= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \dfrac{8-3}{-3-12}= \dfrac{5}{-15}\\\\= \dfrac{-1}{3}$

Equation of the line: y =mx+ b

$y = \dfrac{-1}{3}x+b\\\\\\Plugin \ x = 12 \ and \ y=3 \ in \ the \ above \ equation\\\\3= \dfrac{-1}{3}*12+b\\\\3= -4+b\\\\3+4 = b\\\\b = 7\\\\\\\y= \dfrac{-1}{3}x+7\\\\$

Multiply the equation by 3

3y = -x + 21

x + 3y = 21

6 0

3 years ago