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3 years ago

How to build an exponential function

1 answer:

5 0

In mathematics, an exponential function is a function of the form in which the input variable x occurs as an exponent. A function of the form, where is a constant, is also considered an exponential function and can be rewritten as, with. As functions of a real variable, exponential functions are uniquely characterized by the fact that the growth rate of such a function is directly proportional to the value of the function. The constant of proportionality of this relationship is the natural logarithm of the base,

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Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither.

REY [17]

I'm not a hundred percent sure on this one. I think the answer is neither.

7 0

4 years ago

Read 2 more answers

If z is an even integer which of the following expressions must represent an odd integer?

ad-work [718]

There is no choice on your list that must represent an odd integer.

If 'z' is an even integer, then (z-1) and (z+1) must both be odd integers.

8 0

3 years ago

If the regular recipe that makes 14 pancakes calls for 1 cup of milk, how many cups should I use to make 21 pancakes? Group of a

Kisachek [45]

Answer:

x = 1 1/2 cups

1.5 cups

Step-by-step explanation:

We can use ratios to solve

14 pancakes 21 pancakes

------------------ = ------------

1 cup x cups

Using cross products

14x = 21*1

Divide each side by 14

14x/14 = 21/14

x = 3/2

x = 1 1/2 cups

7 0

3 years ago

You have 55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. How much buying power wil

diamong [38]

We solve the question as follows:
Simple interest=Principle×Rate×Time
Thus given:
p=$55000, R=2.5%, time= 1 year
thus
Interest=55000×0.025×1=$1375

To evaluate the amount required to keep up with the inflation, your interest rate should match the inflation rate otherwise prices are going up faster than the savings.
Required interest rate=55000×0.034×1=$1870

The buying power lost will be the difference between your required interest and actual interest.

Thus:
Buying power lost=1870-1375=$495

8 0

3 years ago

(-2x-8) (-3x² + 4x+5)

marissa [1.9K]

Answer:6x^3+16x^2-42x-40

Step-by-step explanation:

To expand

(-2x-8)(-3x^2+4x+5)

6x^3-8x^2-10x+24x^2-32x-40

Collect like terms

6x^3-8x^2+24x^2-10x-32x-40

6x^3+16x^2-42x-40

3 0

3 years ago