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tiny-mole [99]
3 years ago
7

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, fro

m sales of t
product when it is sold at a unit price of x dollars.
-0.5x2 + 221 – 224
What is represented by the zero(s) of the expression?
A.
the unit price(s) when the profit is equal to 0
B.
the unit price(s) when profit is greatest
c.
the profit when the unit price is equal to 0
OD.
the profit when the unit price is greatest
Reset
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Mathematics
1 answer:
marin [14]3 years ago
5 0

Answer:

A. The answer is our unit prices when our profit is 0

Step-by-step explanation:

The zeros are the x-intercepts, when the curve passes through the x-axis.

I'm going to call our function P

P(x)=-0.5x^2+221x-224 is equal to 0 (our profit is equal to 0) when x (the unit price is such and such)

The answer is our unit prices when our profit is 0

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1) Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of -3. Then graph the line. 2) Write an
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Answer:

An equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

a)

Here we have a slope of 6 and a y-intercept of -3

Then the equation is:

y = 6*x - 3

Now we want to graph this.

To graph it, we first need to find two points (x, y) that belong to this equation, then we can graph the points, and connect them with a line.

To find the points, we evaluate in two different values of x.

x = 0

y = 6*0 - 3 = -3

Then we have the point (0, -3)

x = 1

y = 6*1 - 3 = 3

Then we have the point (1, 3)

The graph of this line can be seen in the image below (the red one)

b) Similar to before, here the slope is -3/5, then the equation is something like:

y = (-3/5)*x + b

Now we also know that the line passes through the point (-10, 8)

This means that when x = -10, we must have y = 8

Replacing these two in the equation we get:

8 = (-3/5)*-10 + b

8 = 6 + b

8 - 6 = 2 = b

Then this equation is:

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The graph can be found in the same way as before, the graph of this function can also be seen in the image below (the green one)

6 0
2 years ago
Determine which of the following numbers could not represent the probability of an event. Explain your reasoning. (a). 33.3% (b)
statuscvo [17]

Answer:

B and F

Step-by-step explanation:

The simple golden rule that we need to know here is

<em><u>"The probability of any event is always between 0 and 1 inclusive"</u></em>

<em><u /></em>

If an event has a probability of p(x), we can say:

0 \leq p(x) \leq 1

Also, probability is ALWAYS POSITIVE.

Thus,

A) OK because 33.3% is 0.333, which is between 0 and 1

B) NOT OK, because probability isn't negative

C) 0.0002 is in between 0 and 1, so possible

D) 0 probability means it can't happen, so that's okay as well

E) this is a fraction with numerator less than denominator, which means its between 0 and 1, so OK

F) this fraction's numerator is greater than denominator, so it's greater than 1. Probability can't be greater than 1, so NOT OK

Out of these B and F cannot represent the probability of an event

6 0
3 years ago
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Answer:

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Step-by-step explanation:

I hope this will help you

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anyanavicka [17]

Answer:

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Step-by-step explanation:

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