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3 years ago

Which set of ordered pairs could be generated by an exponential function?

Mathematics

2 answers:

KIM [24]3 years ago

8 0

Hello,

Answer C with y=2^x

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a_sh-v [17]3 years ago

8 0

By visually assessing we can eliminate the other choices until we have the ff:

(–1, –1), (0, 0), (1, 1), (2, 8)(–1, 1), (0, 0), (1, 1), (2, 4)<span>
Well, it's definitely not the second set of points. Exponential functions are monotonic (either always increasing, or decreasing). In the second set, the function has decreased from (-1,1) to (0,0), and then increased from (0,0) to (1,1).</span>

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One serving of spinach contains 20 calories and 3 grams of protein. One serving of eggs contains 150 calories and 13 grams of pr

Lelechka [254]

330 calories and 38 grams.

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2 years ago

13x -2y -5x +8

Sati [7]

Step-by-step explanation:

1. How many terms are in the expression?

The terms are sorted by looking at the sing/indicator in front of them. For this expression there are 4 terms

13x, -2y, -5x, and 8

2. Which terms are “like terms”?

13x and -5x are like terms.

3. Are there any constants? If so, what are they?

Yes there is a constant terms and it's 8

4. What are the variables in the expression?

The variables in this expression are x, and y

5. What are the coefficients in the expression?

Coefficients is the number in front of variables in this expression the coefficients are 13, -2, and -5

6 0

2 years ago

Read 2 more answers

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Sliva [168]

Answer:

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Step-by-step explanation:

3 0

2 years ago

Part III: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employme

aleksklad [387]

From the given table, the points can be written as : (6,7.55) , (12,7.85), (18, 8.15) and (24, 8.45)

Slope $m=\frac{_{y2}-_{y1}}{_{x2}-_{x1}}$

m = $\frac{7.85-7.55}{12-6}$

m = 0.05

slope intercept form of line = $y=mx+c$

We plug m = 0.05, x = 6 and y = 7.55 and find c.

$7.55=0.05(6)+c$

c= 7.25

Required equation: $y=0.05x+7.25$ ... Answer

5 0

3 years ago

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

2 years ago