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ollegr [7]
3 years ago
13

Factorize the polynomial: 6q^2 – q – 12.

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answer:

Step-by-step explanation:

What two number multiply to equal 6*(-12) and add to equal -1? That is -9 and +8.

6q^2-9q+8q-12

Now factor by grouping

(6q^2-9q)+(8q-12)\\3q(2q-3)+4(2q-3)\\(3q+4)(2q-3)

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Which expression has a value of 1/36?
Nataly [62]

Answer:

1/36) = 0.0277777777778

(1/108)^3 = 7.9383224102 x 10^-7

(1/9)^4 = 0.000152415790276

(1/6)^2 = 0.0277777777778

(1/2)^5 = 0.03125

The only one that matches with the value of 1/36 is (1/6)^2. Therefore, your answer is . (1/6)^2

8 0
2 years ago
Perform the operation. Enter your answer in scientific notation.<br> (7 x 10^*9)(5.6 x 10^*8)
Zinaida [17]

Answer:

3.92 × 10 ^18

Step-by-step explanation:

(7 x 10^*9)(5.6 x 10^*8)

(7000000000)(560000000)

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

If the decimal is moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3 0
3 years ago
Factor the following expression.<br> x2 + 4x - 5
sashaice [31]

Answer:(x+5)(x-1)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Donna wants to decorate her bulletin board she has 38 meters of green ribbon to go around the bulletin board and she has to use
andreev551 [17]

If you are asking for the perimeter of the bulletin board the answer below will be correct!

Answer:

Square option: 9.5 Meters

Rectangle option: see explanation below

Step-by-step explanation:

To find the perimeter you must add the lengths of all the sides. Assuming the bulletin board is a SQUARE all four sides are going to be equal. Therefore you can divide 38 by 4 to get the length of one side (aka 9.5 meters).

Assuming the bulletin board is a RECTANGLE changes things up. You can pretty much pick any combination of numbers that will add up to 19 (because if it is a rectangle there are two pairs of equal side lengths). You could do 1 + 18, 5+14, 8+11. The options are really endless

4 0
2 years ago
6. Suppose you bought supplies for a party. Three rolls of streamers and 15 balloons
stiks02 [169]

Answer:

Streamers are $2.50 each

Balloons are $1.50 each

Step-by-step explanation:

Make a system of equations

3s + 15b = 30

2s + 4b = 11

Solve by elimination: multiply the top equation by 2 and the bottom equation by -3.

6s + 30b = 60

-6s -12b = -33

18b = 27

b = 1.5

Plug in 1.5 as b to find s

3s + 15(1.5) = 30

3s +22.5 = 30

3s = 7.5

s = 2.5

The streamers are $2.50 and the balloons are $1.50

3 0
3 years ago
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