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3 years ago

What angle is an x–intercept for the function y= cos(.5x)

1 answer:

5 0

X-intercept appears at when y = 0

So when cos(0.5x) = 0 -> 0.5x = pi/2 + n*pi, where n is any random integers

So x = pi + 2npi, so the angle can be pi, 3pi, 5pi, so on

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You had $22 to spend on four raffle tickets. After buying them you had $6. How much did each raffle ticket cost?

ozzi

22-6=16. 16÷4=4. Each ticket costs $4.

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3 years ago

You rent an apartment that costs $900 per month during the first year, but the rent is

olchik [2.2K]

Answer:1493.1

Step-by-step explanation:

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2 years ago

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

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3 years ago

F(x)= 2lxl? (graphing absolute values) I'm a little confused.

Vesnalui [34]

I see. Imagine you have f(x)=|x|. It's a V shaped graph.

Now if f(x)=|x|, 2f(x)=2|x|.

Graph Transformation Rule:

af(x), multiply y-coordinates by a.

*Ultimately, you'd still have a V shaped graph in 2f(x)=2|x|, but the y values of all the coordinates in f(x)=|x| would have to be multiplied by 2 giving you 2f(x)=2|x|.

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3 years ago

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Round 1,490 to the nearest hundred

Arlecino [84]

The answer is 1,500..

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3 years ago

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