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Setler79 [48]
3 years ago
15

Factor 8x^5+4x^2−12

Mathematics
2 answers:
Effectus [21]3 years ago
4 0
D) because only 4 is the common factor in the equation.
harina [27]3 years ago
4 0

Answer:

Option D : 4(2x^{5} +x^{2} -3)

Step-by-step explanation:

Given :8x^{5} +4x^{2} -12

Solution:

Option A: 8(x^{5} +4x^{2} -12)

solving this

8x^{5} +32x^{2} -96

Since we are not getting the given expression after solving this .

Hence this wrong option

Option B: 4(2x^{5} +4x^{2} -12)

solving this

8x^{5} +16x^{2} -48

Since we are not getting the given expression after solving this .

Hence this wrong option

Option C: 4x^{2}(2x^{3} + x -3)

Solving this

8x^{5} + 4x^{3} -3x^{2}

Since we are not getting the given expression after solving this .

Hence this wrong option

Option D : 4(2x^{5} +x^{2} -3)

Solving this

8x^{5} + 4x^{2} -12

Since we are getting the given expression after solving this option

Hence Option D is correct

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anyanavicka [17]

Answer:

Step-by-step explanation:

This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.

6 0
3 years ago
Write the equation of the line described in point-slope form. Then, change to Standard Form. Contains points (3/2,-1/2) and (-1/
larisa [96]
Slope point form :
To put in slope point form, label any of the points as either X1,y1 and X and y, then plug in those values into the following equation form.
Y - y1 = m(X-X1)

But before, we must solve for the m value or slope.
M = y2-y1/x2-X1
M = 5/2 - -1/2 / -1/2 - 3/2.
M = 5/2 + 1/2 / -(1/2+3/2)
M = 6/2 / -(4/2)
M = 3/-2

Now we can place it in slope point and also in standard form of a line.

Y-y1 = m(X -X1)

Y - -1/2 = -3/2(X - 3/2)

Y + 1/2 = -3/2(X - 3/2)

This is in slope point form.

Y + 1/2 = -3/2x + 9/4
Y + 1/2 - 1/2 = -3/2x + 9/4 - 1/2
1/2 = 2/4
Y = -3/2x + 7/4
-3/2x = -6/4x
Y = -6/4x + 7/4
Y • 4 = 4( -6/4 X + 7/4)
4y = -6x + 7
4y + 6x = -6x + 6x +7

6x + 4y = 7

This is in standard form. If you have any questions of the steps just ask.
4 0
3 years ago
The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
lyudmila [28]

Answer:

Height of cylinder (h) = (4/3)R

Step-by-step explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3}  (R)

Height of cylinder (h) = (4/3)R

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This table shows the number of marbles in a bag by color. If one marble is randomly selected from the bag, what is the
ratelena [41]

Answer:

p(blue or red) = 0.52 = 52%

Step-by-step explanation:

total number of marbles = 7 + 10 + 14 + 19 = 50

number of blue marbles = 7

number of red marbles = 19

number of blue or red marbles = 7 + 19 = 26

p(blue or red) = 26/50

p(blue or red) = 0.52 = 52%

3 0
3 years ago
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You and a friend are playing a board game.
ra1l [238]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
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