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Phantasy [73]
2 years ago
10

The line for the equation y = 1 horizontal or vertical? What is the slope of this line?

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
7 0

Answer:

The line is horizontal and the slope is 0.

Step-by-step explanation:

Any line that is horizontal has a slope of 0.

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A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.
serg [7]

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

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3 years ago
Sally has 2 cats and each cat eats 1/4 of a tin of cat food each day.
Mashutka [201]

If one cat eats 1/4 of a tin per day then two cats eat 1/2 of a tin per day.

We have 9 tins so if each day cats eat 1/2 we have to divide 9 with 1/2 and we get 18 which is for how many days she can feed the cats until she runs out of food.

Hope this helps.

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Twenty-one people brought a chocolate cake to a community potluck dinner each cake was split into 8 slices how many slices of ch
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Answer:

168

Step-by-step explanation:

Multiply 21 by 8 so

21 × 8 = 168

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Mona has 400 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed are
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10,000 yd

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