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OLga [1]
2 years ago
7

Sarai has decided to take a risk. She's been saving money and now she's ready to invest in stocks. Most of her stocks give her a

great return, but one–Bambi's Beach Bonnets–is a mixed story. The value of her shares in Bambi's Beach Bonnets over timem is modeled by the function v(t) = −2x 2 + 22x + 280, where v represents the value of her investment and t represents time in weeks. (a) What key feature of the function tells us when her investment was worth the most?
Mathematics
1 answer:
Rus_ich [418]2 years ago
3 0

Answer: vertex of the parabola

Step-by-step explanation:

v(t) = −2x²+ 22x + 280

v = value of her investment

t = time in weeks.

(a) What key feature of the function tells us when her investment was worth the most?

worth the most = highest value, so at the vertex of the parabola.

xvertex = -b/2a

yvertex = -Δ/4a

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Conveniently, your number line has 8 divisions in each unit interval, so finding 5/8 is a matter of counting 5 divisions.

The additive inverse of a number has the opposite sign from the number, so m = -5/8. The sum of a number and its additive inverse is zero. (That is the definition of additive inverse.)

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Step-by-step explanation:

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The other three options are actually <em>things you would want to learn how to cope with</em>, thus not correct answers.

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The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev
Brilliant_brown [7]

Answer:

x = 20

x = 140

Step-by-step explanation:

Find the equation for profit P

P = R - C

Substitute the equations for R and C then simplify.

P = 100x − 0.5x² - (20x + 700)

P = -0.5x² + 80x - 700

Find the values of x when profit is $700

P = -0.5x² + 80x - 700

700 = -0.5x² + 80x - 700

0 = -0.5x² + 80x - 1400

This is in the standard form 0 = ax² + bx + c

Use the quadratic formula to find values of x

x = \frac{-b±\sqrt{b^{2}-4ac}  }{2a}

(Ignore Â)

Substitute a b and c.

a = -0.5

b = 80

c = -1400

x = \frac{-(80)±\sqrt{80^{2}-4(-0.5)(-1400)}  }{2(-0.5)}

x = \frac{-80±60}{-1}

Split the formula at the ± so that there are two to get the two x values.

x = \frac{-80+60}{-1}

x = \frac{-80-60}{-1}

x = 20

x = 140

The profit will be $700 when x is 20 or when x is 140.

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2 years ago
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4 0
1 year ago
Joshua investigates the effect of varying amounts of sunlight on the rate of plant growth. He experiments by exposing seedlings
OlgaM077 [116]

Answer:

The independent variable is the amount of sunlight.

Step-by-step explanation:

Consider the provided information.

Joshua investigates the effect of varying amounts of sunlight on the rate of plant growth.

He experiments by exposing seedlings to different amounts of sunlight each day.

He stops the experiment when each seedling reaches 20 cm in height.

The independent variable is a variable describing a quantity controlled in an experiment. A dependent variable is a quantity whose value depends on such manipulations.

The amount of sunlight is the factor directly controlled by Joshua.

The other factors, such as rate of plant growth and time needed to reach 20 cm, depend on the amount of sunlight. They are dependent variables.

The amount of sunlight is the factor directly controlled by Joshua.

The other factors, such as rate of plant growth and time needed to reach 20 cm, depend on the amount of sunlight. They are dependent variables.

Hence, the independent variable is the amount of sunlight.

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