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AleksAgata [21]
3 years ago
11

–27 ≥ t/5 Please help me as soon as possible

Mathematics
1 answer:
salantis [7]3 years ago
5 0

Answer:

t ≤ -135

Step-by-step explanation:

multiply each side by 5 which then cancels out the 5 in the fraction then turns -27 into -135. Since we multiplied negatives we flipped the sign.

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

y=-29x^2+1388x-10040

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is f(x)=ax^2+bx+c, then the vertex is

Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

y=-29x^2+1388x-10040

Here, a=-29,b=1388, c=-10040. Clearly, a<0. So, the vertex is the point of maxima.

-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}

-\dfrac{b}{2a}=-\dfrac{1388}{-58}

-\dfrac{b}{2a}\approx 23.931

Putting x=23.931 in the given equation, we get

y=-29(23.931)^2+1388(23.931)-10040

y=-16608.09+33216.228-10040

y=6568.138

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

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The correct answer is A
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motikmotik

Option c is correct. Use special right triangles and you will findout why. Hint:Use the 45-45-90 special right triangle's properties.

4 0
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