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3 years ago

12

Determine the range of the function graphed above

1 answer:

STALIN [3.7K]3 years ago

8 0

Answer: A

Step-by-step explanation:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

The possible values of y are [-infinity,4], so the answer is A

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The price of a skateboard is reduced by 25%. The original price was $120. Find the new price.

8_murik_8 [283]

New price = <u>90 dollars</u>

<u></u>

25% of 120 = 30

Price is reduced 25% from 120 so,

120 - 30 = 90

Amount of discount = 30

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2 years ago

Write a possible third degree polynomial with integer coefficient that have zeros: 1 2i, -4. Assume the leading coefficient to b

jasenka [17]

Answer:

The polynomial is:

$p(x) = x^3 + 2x^2 - 3x + 20$

Step-by-step explanation:

A third degree polynomial can be written in function of it's zeros $x_1, x_2, x_3$ the following way:

$p(x) = a(x - x_1)(x - x_2)(x - x_3)$

In which a is the leading coefficient.

Integer coefficient that have zeros: 1+2i, 1-2i, -4

Leading coefficient: 1

So

$p(x) = 1(x - (1+2i))(x - (1-2i))(x - (-4))$

$p(x) = (x - 1 -2i)(x - 1 + 2i)(x + 4)$

$p(x) = ((x-1)^2 - (2i)^2)(x + 4)$

$p(x) = (x^2 - 2x + 1 - 4i^2)(x + 4)$

Since $i^2 = -1$

$p(x) = (x^2 - 2x + 1 + 4)(x + 4)$

$p(x) = (x^2 - 2x + 5)(x + 4)$

$p(x) = x^3 + 4x^2 - 2x^2 - 8x + 5x + 20$

$p(x) = x^3 + 2x^2 - 3x + 20$

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3 years ago

The sum of two binomials is 3z-6. If one binomial is z+4, what is the other binomial?

Viefleur [7K]

The answer is 2z-10. Hope it helps.

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4 years ago

Read 2 more answers

Help as fast as u can

lyudmila [28]

I believe the answer to your question is going to be

D) g(x)=(x+3)^2

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3 years ago

Rhianna is building a rectangular pyramid for a science fair project.

Anna35 [415]

Answer:

I got 70.56

Step-by-step explanation:

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3 years ago