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3 years ago

Explain why the initial value of any function of the form f(x) = a(bx) is equal to a.

Mathematics

1 answer:

Serggg [28]3 years ago

7 0

Answer:

Step-by-step explanation:

f(x) = a(b^x), the initial value is always a, because a is independent of x , so when x changes only b^x changes.ex if a = 2, b = 3, and x = 0: f(0) = 2 (3^0) = 2 If x = 1, then f(1) = 2 (3^1) = 2 (3). If x = 2, then f(2) = 2 (3^2) = 2 (9), as you can see a still the same.

You might be interested in

Identify the phase shift of each function. Describe each phase shift ( use a phrase like 3 units to the left):

Temka [501]

ANSWER

Phase shift: 2 units right.

EXPLANATION

The given sine function is

$y = - \sin(x - 2)$

In mathematics, a horizontal shift may also be referred to as the phase shift.

This function is shifted to the right 2 units.

8 0

3 years ago

What is the factored form of 30x2 - 25x -30?

Setler79 [48]

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

30x2 - 25x -30 Factoring

Step 2

30x2 - 25x -30 factor out the equation

5(3x+2)(2x-3)

Step 3

5(3x+2)(2x-3) Check by simplifying

When you check, you will get the question back

Answer

5(3x+2)(2x-3)

Hope this helps

6 0

3 years ago

The food bank has 1774.4 oz of chicken.If 12.6 oz is 2 servings,how many servings of chicken does this provide?

diamong [38]

Answer:

281 servings

Step-by-step explanation:

From the table attached,

We will apply the unitary method to solve this problem.

∵ 12.6 oz of chicken represents number of servings = 2

∴ 1 oz of chicken will represents number of servings = $\frac{2}{12.6}$

∴ 1774.4 oz of chicken will make the total servings = $\frac{2}{12.6}\times 1774.4$

= 281.65

≈ 281 servings

Therefore, total number of servings provided = 281

6 0

3 years ago

Noah tried to prove that cos(θ)=sin(θ) using the following diagram. His proof is not correct.

alukav5142 [94]

Answer:

The first statement is incorrect. They have to be complementary.

Step-by-step explanation:

You can't say the measure of angle B is congruent to theta because it is possible for angles in a right triangle to be different.

You can only say that what he said is true if the angle was 45 degrees, but based on the information provided it is not possible to figure that out.

The other two angles other than the right angle in a right triangle have to add up to 90 degrees, which is the definition of what it means for two angles to be complementary. A is the correct answer.

3 0

3 years ago

Read 2 more answers

In 2006,the General Social Survey (which is conducted uses a method similar to simple random sampling) included a question that

mars1129 [50]

Answer:

Assumptions are not met. Can not make confidence interval.

Step-by-step explanation:

In the General Social Survey, sample size is 1514.

The proportion of those who see themselves social is $\frac{470}{1514}$ ≈ 0.31

To give an 95% confidence interval, we should be able to calculate margin of error of the sample mean, which is given by the formula

M± $z*\frac{s}{\sqrt{N} }$ where M is the mean of the sample (in the General Social Survey it is 0.31), z is z-score for the 95% confidence level(approx. 1.94), s is the standard deviation of the sample, N is the size of the sample(in this example it is 1514).

Since we don't know the standard deviation of the sample, we cannot give a confidence interval.

8 0

3 years ago