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3 years ago

Without graphing, determine whether the function represents exponential growth or exponential decay. y=12(17/10)^x

Mathematics

1 answer:

AlexFokin [52]3 years ago

3 0

Answer:

exponential growth

Step-by-step explanation:

b- 17/10 is > 1 so it is growth

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A company sells widgets. The amount of profit , ymade by the company, is related to the selling price of each widget, x, by the

Bezzdna [24]

Answer:

$732

Step-by-step explanation:

Given

$y \to profit$

$x \to widgets$

$y = -x^2 + 64x - 292$

Required

The maximum profit

First, we calculate the maximum amount of widgets that can be sold using:

$x = -\frac{b}{2a}$

Where:

$a = -1; b = 64; x = -292$

So, we have:

$x = -\frac{64}{2 * -1}$

$x = -\frac{64}{-2}$

$x = -(-32)$

$x = 32$

The maximum profit is:

$y = -x^2 + 64x - 292$

$y = -(32)^2 + 64 * 32 - 292$

Using a calculator, we have:

$y = 732$

7 0

3 years ago

What are the constants in the expression 7r - 3 + 2s + 5

slega [8]

B. -3 and 5

constants are the numbers without variables (the letters) and coefficients are the numbers with variables

6 0

3 years ago

What is a solution to a system of inequality's?

Damm [24]

Make all equal or try to even it out depending on what the system is about

8 0

3 years ago

Read 2 more answers

The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an un

eimsori [14]

Answer:

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Population standard deviation of 3 years

This means that $\sigma = 3$

Sample of 18 voters

This means that $n = 18$

Margin of error:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.96\frac{3}{\sqrt{18}}$

$M = 1.39$

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

3 0

3 years ago

Divide the following polynomials, then place the answer in the proper location on the grid. Use synthetic division. Write the an

Troyanec [42]

Answer:

5x + 7 + ----------

x - 5

Step-by-step explanation:

Divide 5x 2 - 18x -27 by x - 5 using synthetic division. Important: Please use the symbol " ^ " to denote exponentiation.

Divide 5x^2 - 18x -27 by x - 5 using synthetic division.

Setting up synth. div., we choose the divisor to be 5. That comes from (x-5)=0. Then,

5 / 5 -18 -27

25 35

------------------------

5 7 8

Because the remainder (8) is not zero, x-5 is not a factor of 5x^2 - 18x -27.

The "answer" is thus:

5x + 7 + ----------

x - 5

4 0

3 years ago