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brilliants [131]
2 years ago
13

What is the range of the function f(x) = (x - 1)? when the domain is {-5, 0,5}?

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

Answer:

f(x) = (x - 1)2

f(x) = 2x - 2

let x = -5, f(x) = -12

let x = 0, f(x) = -2

let x = 5, f(x) = 8

range is {-12, -2, 8}

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The product shown is a difference of squares. What is the missing constant term in the second factor?
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Difference of two squares is of the form (a + b)(a - b) or vice-versa. Here, a = -5x and b = 3.
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You have $28, and you want to get half-dollar coins from the bank to give to children who come into your store. What is the most
g100num [7]

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28

Step-by-step explanation:

You only have 28 dollars you cannot go over the amount of money that you have.

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Could someone pleaseeeeeee help?
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The third choice is the answer
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3 years ago
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A television screen's width is 1.778 times its height. If its
Nana76 [90]

Answer:

Let a, b, and c be the height, width, and the diagonal of the screen respectively

Since they form a triangle and the angle between a and b is 90 degrees, according to the Pythagorean Theorem a^2 + b^2 = c^2

Let's assume that the aspect ratio is 16:9. Therefore b/a = 16/9

Now we have a system of two equations with two unknowns. We need to express everything in terms of a single unknown, so let's express a in terms of b.

Since, b/a = 16/9, by cross multiplying 16a = 9b. Therefore a=9b/16.

Now we can subsitute 9b/16 for a in the first equation

a^2+b^2=c^2 becomes (9b/16)^2 + b^2 = c^2

Squaring the nominator and the denominator of the fraction yields

81b^2/256 + b^2 = c^2

To perform the addition, we need to express b^2 as a fraction with denominator 256 which is 256b^2/256, Now we have

81b^2/256 + 256b^2/256 = c^2

Adding fractions with the same denominators is now easy and produces

337b^2/256 = c^2

Cross multiply to get

337b^2 = 256c^2

Divide both sides by 337 to get b^2

b^2=256c^2/337

Take the square root of both sides to get b

b = sqrt(256c^2/337)

Lots of complicated Pythagorean responses. This is much simpler to answer with Trigonometry.

TLDR; just multiply the diagonal by the following two coefficients, and add the bezel width, to get the width and height:

w = diag x 0.872 + 2 x bw

h = diag x 0.49 + 2 x bw

(Where diag is the diagonal size of the screen and bw is the bezel width)

Thats all you need to know to do this.

Now here’s the Teig behind it:

First, calculate the angle of the diagonal relative to the base, using tangent, which yields ::

a = tan(9/16)

This will give you an angle of 0.512 radians (or roughly 30 degrees).

Next, calculate the ratio of the height relative to the hypotenuse (the diagonal length) using arc-sine, which yields the relative proportion of opposite length over the hypotenuse for a given angle:

h = asin(0.512)

The result will be roughly h = 0.49, or 49% of the diagonal.

Finally, get the ratio of eidth to hypotenuse using arc-cosine:

w = acos(0.512)

The result is roughly w = 0.872, or 87.2% of the diagonal.

that’s all the math! Enjoy!

6 0
3 years ago
James stopped making payments on a credit card when he was in college. When applying for a car loan after graduation, he realize
wolverine [178]

Answer:

Here, James took the right decision. I will clarify this with few points.

1st - If he purchases a car at high interest rate, he will still have all his debt on previous credit card standing as it is. He will have to pay car loan plus his older dues thus paying at double places.

2nd - It is likely that he can still default on loans as paying double money each month can create problems and James can again stop making payments.

3rd - If James starts paying his debts now, he can be free in a few years time and his credit score will again become good. Then he will get the regular rate of interest for his car as he will be debt free.

So, we can say, he made the right decision.

5 0
3 years ago
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