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3 years ago

What are the zeros of the function f(x) = (3x^2 + 9x + 6) / (3x - 6) ?

1 answer:

6 0

3x^2 + 9x + 6 = 0
3x^2 + 3x + 6x + 6 = 0
3x(x + 1) + 6(x + 1) = 0
(3x + 6)(x + 1) = 0
3x + 6 = 0 and x + 1 = 0
3x = -6 and x = -1
x = -2 and x = -1

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A segment has one endpoint at (-4,1) and it's midpoint at (3,0). What is the x-coordinate of the other endpoint?

nikklg [1K]

Answer:

(10; -1)

the x-coordinate of the other endpoint is (x;y)

because the segment has midpoint at (3;0)

=> x - 4 = 3.2 = 6

y + 1 = 0.2 = 0

<=> x = 10

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At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn.

Montano1993 [528]

An equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

In this question, there was a depth of 10 inches of snow on the lawn when the storm ended and then it started a melting at a rate of 2 inches per hour.

We need to write an equation for S in terms of t, snow representing the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling.

So, the equation would be,

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1 year ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

Amiraneli [1.4K]

The correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

<h3>Solving inequality</h3>

From the question, we are to solve the inequality

The given inequality is

–3(2x – 5) < 5(2 – x)

First, clear the brackets

–6x + 15 < 10 – 5x

NOTE: This is one of the correct representations of the inequality

Collect like terms

-6x + 5x < 10 - 15

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Divide both sides by -1 and flip the sign

x > 5

Representing this on a number line, we get a number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right.

Hence, the correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

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2 years ago

Select the value of each decimal number when it is rounded to the nearest whole number?

Marianna [84]

46.55= 47
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3 years ago

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QuestionIn PQR, sin P = 1/3, sin R = 2/3,and p = 9. Find the side length r.

mamaluj [8]

Lets draw our triangle:

Lets use the "Law of Sines" to find our side r:

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So r=18

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