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Brilliant_brown [7]
3 years ago
10

Factor completely the expression: 2x^3 - 2x^2 - 12.

Mathematics
1 answer:
Gnom [1K]3 years ago
3 0

Answer:

2(x^3-x^2-6)

Step-by-step explanation:

2 out of 2x^3 - 2x^2 - 12

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What is the volume of the prism?
anygoal [31]

Answer:

78.75 cm cubed

Step-by-step explanation:

To find the volume of the prism, use the formula V = l*w*h where l = 4.5, w = 5 and h = 3.5.

So the volume is V = 4.5*5*3.5 = 78.75

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4 years ago
Select the correct answer from each drop-down menu.
ElenaW [278]

Answer:

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Step-by-step explanation:

If the step shown above results in point of intersection P, and the construction is completed by drawing ray DP, then this construction produces triangle DLP congruent to triangle BKJ. The angle at D will be congruent to the angle at B because CPCTC. Hence an angle congruent to a given angle will have been constructed.

8 0
3 years ago
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madam [21]

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3 0
3 years ago
Clark wants to figure how many pens to order for the office. There are 48 workers, and he needs to order one pen for each worker
Nikitich [7]
If theres only two colors, red and blue and for every six people who prefer red, there are six people who prefer blue then divide 48 in half and he should order 24 red pens and 24 blue pens.
3 0
3 years ago
I dont understand how to find Which ordered pair is a solution of the equation? y=8x+3
WARRIOR [948]

Answer:

Step 1:

To find ordered pair solutions, you could create an x and y graph and fill out the x side. Then, plug in an x number to get your y number and graph the ordered pairs to see if they give you a straight line. I'm going to use these numbers: -1, 0, 1, and 2.

...x...|...y...

\left[\begin{array}{ccc}-1&?\\0&?\\1&?\\2&?\end{array}\right]

Now, let's plug in -1 into the equation first to see what we get for y.

y=8(-1)+3\\y=-8+3\\y=-5\\(-1,-5)

-5 is our y if x was -1.

We do the same for the other three numbers.

y=8(0)+3\\y=0+3\\y=3\\(0,3)

y=8(1)+3\\y=8+3\\y=11\\(1,11)

y=8(2)+3\\y=16+3\\y=19\\(2,19)

Step 2:

With all that done, we can now fill out our table and graph the points.

....x...|...y....

\left[\begin{array}{ccc}-1&-5\\0&3\\1&11\\2&19\end{array}\right]

If you graph these points on graph paper / a graphing website, you will see that these points go in a straight line. If you are given an ordered pair already (for example: (3,5)), then all you have to do is plug in the x into the equation (3) and see if the outcome is true (5).

5=8(3)+3\\5=24+3\\5\neq 27

Since they don't equal each other, then (3,5) is false.

Here is the graph for the table above. I hope I helped you!

8 0
3 years ago
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