Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?

Answers

Answer 1

Answer: Well first you would break the equation down so the equation comes to 2x^2(6x-1)+3(6x-1) and then you Factor out common terms in the first two terms and then in the last two terms. Factor out the common term 6x-1 and you get your answer (6x-1)(2x^2+3).

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Indica and jean begin their hike at 10 am. they plan to hike fromthe 2.4 mile marker to the 8.1 mile marker. they plan to hike an average speed of 3 miles per hour. will they reach the 8.1 marker before noon? explain your reasoning.

Answers

Yes they should reach the 8.1 mile marker by noon
2 hours equals 6 miles 2.4+6=8.4
if they kept walking for a full 2 hours they would reach the 8.4 mile marker

Which statement regarding the diagram is true?m2WXY = m_YXZ
m2WXY < m_YZX
m2WXY + m2YXZ = 180°
m2WXY + m_XYZ = 180°

Answers

The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find the correct statement.

Now, We can find the correct statement as;

By definition of linear pair we get;

⇒ m ∠WXY + m ∠YXZ = 180°

Thus, The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

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Answer: C. angle WXY + angle YXZ = 180 degrees

Explanation:

These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.

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Side notes:

Choice A is only true if we have a 90 degree angle at point X
Choice B is never true because of the remote interior angle theorem
Choice D is only true if we have an isosceles triangle with XZ = YZ.

Find the slope of 2x-9y=-36? please show steps thank you

Answers

what I do first (easier for me) is to change it into slope-intercept form
2x-9y=-36
-9y=-2x-36                2x
---------------   =    y= ---- +4
        -9                       9
the slope is whatever is in front of x, in this case 2/9

$2x-9y=-36\n-9y=-2x-36\ny=(2)/(9)x+4\n\n\boxed{m=(2)/(9)}$

In your office 1/8 of 288 employees work part-time how many are part-time

Answers

That would be 1/8 times 288, so the answer would be 36 part time workers.

Final answer:

You can find the number of part-time employees by multiplying the total employees by the fraction of part-time workers. In this case, that results in 36 part-time employees.

Explanation:

To determine the number of employees who work part-time, we need to multiply the total number of employees (which is 288) by the fraction representing part-time workers (1/8).

So, 288 * 1/8 = 36. Therefore, there are 36 employees who work part-time in your office.

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If 4i(-3-yi)+7=27-12i,what is the value of y

Answers

$4i(-3-yi)+7=27-12i\n -12i+4y+7=27-12i\n 4y=20\n y=5$

A university's freshman class has 5000 students. 80% of those students are majoringin Computer Science. How many students in the freshman class are Computer
Science majors?

Answers

Answer:

4000 students

Step-by-step explanation:

Number of computer science majors = 80% of 5000

= 0.8 * 5000

= 4000

Answer:

4000

Step-by-step explanation:

5000 * .8 is 4000

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