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2 years ago

HELP ASAP!!! 50 POINTS!!! AND BRAINLIEST!!

Mathematics

1 answer:

ElenaW [278]2 years ago

3 0

Both functions g(x) and f(x) are positive in the interval of (1, ∞). Then the correct option is C.

<h3>What is the domain and range of a function?</h3>

The domain is the set of values for which the given function is defined.

The range is the set of all values which the given function can output.

When comparing the f(x) = x² – x and g(x) = log(2x + 1).

For f(x), we have

f(x) = x² – x

f(x) = x² – x + 1/4 - 1/4

f(x) = (x - 1/2)² - 1/4

The domain and the range of the function f(x) will be (-∞, ∞) and (-5, ∞).

For g(x), we have

g(x) = log(2x + 1)

The domain and the range of the function g(x) will be (-1/2, ∞) and (-∞, ∞).

Both functions g(x) and f(x) are positive in the interval of (1, ∞). Then the correct option is C.

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

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PLEASE HELP, WILL MARK BRAINLIEST !!!

shutvik [7]

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ - 4, 3 ] , then

f(b) = f(3) = 3² - 3 - 8 = 9 - 3 - 8 = - 2

f(a) = f(- 4) = (- 4)² - (- 4) - 8 = 16 + 4 - 8 = 12 , tus

average rate of change = $\frac{-2-12}{3-(-4)}$ = $\frac{-14}{7}$ = - 2

6 0

3 years ago

Read 2 more answers

I need help does anyone know?

Nuetrik [128]

Answer:

$19.6

Step-by-step explanation:

He bought 6 video games and 1 dvd

We know that each video game costs $2.7 and each dvd costs 3.4

To get the sum = v x 6 + d x 1

= 2.7 x 6 + 3.4 x 1

= 16.2 + 3.4

= $19.6

4 0

3 years ago

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. Find the length of IJ to the nearest tenth of a foot.

Nitella [24]

We have been given that in ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. We are asked to find the length of IJ to the nearest tenth of a foot.

First of all, we will draw a right triangle using our given information as shown in the attachment.

We can see that in triangle HIJ, the side IJ is adjacent side to angle I and JH is opposite side to angle I.

We know that tangent relates opposite side of right triangle to adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(29^{\circ})=\frac{88}{IJ}$

$IJ=\frac{88}{\text{tan}(29^{\circ})}$

$IJ=\frac{88}{0.554309051453}$

$IJ=158.7562024638191237$

Upon rounding to nearest tenth, we will get:

$IJ\approx 158.8$

Therefore, the length of the side IJ is approximately 258.8 units.

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4 years ago

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Which statements are true of all squares? Check all that apply.

Natali [406]

Squares are:
1. Equal on all 4 sides
2. All Have the same angle measure of 90 degrees

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3 years ago

Please answer it now in two minutes

FrozenT [24]

Answer:

4.5

Step-by-step explanation:

Use sin64=x/5 and simplify to

5sin64 and plug it into a calculator to get 4.49 which is 4.5

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3 years ago