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1 year ago

Find f(-3) for f(x) = 4(2)^x. ОА. 1/8 O B. -32 O C. -24 OD. 1/2

Mathematics

1 answer:

Ipatiy [6.2K]1 year ago

5 0

Answer:

Step-by-step explanation:

using the rule of exponents

$a^{-m}$ = $\frac{1}{a^{m} }$

substitute x = - 3 into f(x)

f(- 3) = 4( $(2)^{-3}$ = 4 × $\frac{1}{2^{3} }$ = 4 × $\frac{1}{8}$ = $\frac{1}{2}$

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Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning. In a certain soccer leag

Gennadij [26K]

Answer:

Step-by-step explanation:

A Parameter is a value that represents a property of a population. This could be the population mean.

A statistic is a value that represents a property of a sample. This could be the sample mean.

In the given scenario, the population is the entire 14 teams. This means that the percentage given is a value representing a property of the population. Therefore, the correct answer is

C. Parameter, because the data set of all 14 teams is a population.

4 0

3 years ago

What’s are the answers for both?

nevsk [136]

Answer:

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

$\frac{7(7g + 8)}{4} = 38.5$

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

5 0

3 years ago

How many models of 100 do you need to model 3200 explain

rusak2 [61]

32 models need to make model of 3200.

Given that a 1 model contain 100.

Two series of numbers, usually empirical data, that are proportional or proportional if their respective elements are in constant proportion, called the scaling factor or the rate constant.

One model has 100 elements.

Now, we have to find how many model contains 3200 elements.

So, 1 model=100 elements

n model =3200 elements

We will write this in proportion as

1/n=100/3200

Applying the cross multiply, we get

3200×1=n×100

Divide both sides with 100, we get

3200/100=100n/100

3200/100=n

32=n

Hence, the 32 models contain 3200 elements when one contain 100 elements.

Learn more about proportional from here brainly.com/question/23536327

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1 year ago

A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side

crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

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5 0

2 years ago

COSO ---

Vsevolod [243]

Answer:

• zero: -4, -4/3, 7

• positive: -4 < x < -4/3 . . . or 7 < x

• negative: x < -4 . . . or -4/3 < x < 7

Step-by-step explanation:

Zeros of the function are at x=-4, -4/3, +7. These are the values that make each of the individual factors be zero. For example, x-7=0 when x=7.

The function will be negative for x-values left of an odd number of zeros. It will be positive for x-values left of an even number of zeros (including left of no zeros, which is to say right of all zeros). This is because the sign of the factor giving rise to the zero changes for x-values on either side of that zero. (This is not true for zeros with even multiplicity, as the sign does not change at those.)

3 0

3 years ago