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2 years ago

Find the range of y=3/2cos4x-1

Mathematics

1 answer:

MrRissso [65]2 years ago

5 0

Answer:

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

Step-by-step explanation:

Smallest value of cos α = - 1,

largest value of cos α = 1.

When cos 4x = - 1, y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5

When cos 4x = 1, y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

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Sholpan [36]

Answer:

$978\frac{1}{2}\text{ inches}^2$ .

Step-by-step explanation:

We have been given that a lumber yard has a scrap sheet of plywood that is 23 3/4 inches by 41 1/5 inches long.

Since plywood is in shape of rectangle, so to find the area of plywood we will multiply the length of plywood by its width.

$\text{Area of rectangle}=\text{Length*Width}$

$\text{Area of plywood}=23\frac{3}{4}\text{ inches}\times 41\frac{1}{5}\text{ inches}$

Let us convert our mixed fractions into improper fractions.

$\text{Area of plywood}=\frac{95}{4}\text{ inches}\times \frac{206}{5}\text{ inches}$

$\text{Area of plywood}=\frac{95}{4}\times \frac{206}{5}\text{ inches}\times \text{inches}$

Upon cancelling out greatest common factors we will get,

$\text{Area of plywood}=\frac{19}{2}\times 103\text{ inches}^2$

$\text{Area of plywood}=\frac{1957}{2}\text{ inches}^2$

Now let us convert our answer into mixed fraction.

$\text{Area of plywood}=978\frac{1}{2}\text{ inches}^2$

Therefore, the area of plywood is $978\frac{1}{2}\text{ inches}^2$ .

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2 years ago

What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8) ? Enter your answers in the boxes

Ahat [919]

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\\\\\\
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STatiana [176]

Answer:

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Step-by-step explanation:

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