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yan [13]
3 years ago
15

Factor 15a^3+ 20a^2- 6a- 8 by grouping

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0
15a^3+ 20a^2- 6a- 8
= 5a^2(3a+ 4) - 2(3a + 4)
= (3a+ 4) (5a^2- 2)
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<img src="https://tex.z-dn.net/?f=y%5E2%2B3y%2B2%3D0" id="TexFormula1" title="y^2+3y+2=0" alt="y^2+3y+2=0" align="absmiddle" cla
Semmy [17]

Answer:

y = - 2, y = - 1

Step-by-step explanation:

y² + 3y + 2 = 0

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the y- term (+ 3)

The factors are + 2 and + 1 , since

2 × 1 = 2 and 2 + 1 = 3 , then

(y + 2)(y + 1) = 0

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

y + 1 = 0 ⇒ y = - 1

5 0
3 years ago
Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes
Dahasolnce [82]

Answer:

In the picture attached, the graph is shown.

Step-by-step explanation:

No options are provided, so I made the graph.

The equation V = 4 + 2t, is the equation of a line with slope = 2 and y-intercept = 4.

To make a graph, mark some points is helpful. The next points are included in the graph:

t     V  

0    4 + 2(0) = 4

1     4 + 2(1) = 6

2    4 + 2(2) = 8

3    4 + 2(3) = 10

4    4 + 2(4) = 12

5    4 + 2(5) = 14

6    4 + 2(6) = 16

6 0
3 years ago
Read 2 more answers
The angle of elevation from point A to the top of a cliff is 38 degrees. If point A is 80 feet from the base of the cliff, how h
mr Goodwill [35]
The tangent ratio is
   tan(38°) = opposite/adjacent = (height of cliff)/(distance to base)
Multiplying the equation by the denominator gives
   height of cliff = (80 ft)*tan(38°) ≈ 62.5 ft
6 0
4 years ago
The sum of all prime factors of<br>of<br>x is<br>20. Find the value​
OLga [1]

Answer:

no clue

Step-by-step explanation:

but good luck i belive in yoyu

3 0
3 years ago
Find the slope between the pair of points.<br><br> through: (1,-3) and (2,3)
sergij07 [2.7K]

Answer:

6

Step-by-step explanation:

Slope = delta y/delta x

slope = \frac{y_1-y_2}{x_1-x_2}

Slope = (-3-3)/(1-2)

Slope = -6/-1

Slope = 6

8 0
3 years ago
Read 2 more answers
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