Factor completely.6x²+ 3x - 63

A. 3(2x + 7)(x - 3)
B. (3x + 9)(2x - 7)
C. (6x + 21)(x - 3)
D. 3(2x²+ x - 21)

Answers

Answer 1

Answer: If you wanted to work this question forwards instead of backwards, this is how you would do it:

First, factor out a 3, since all of the coefficients are divisible by it.

$6x^2+3x-63 \n 3(2x^2+x-21)$

You want to split the middle into two numbers that multiply to equal the product of the value of x² and the constant and add to equal the value of x.
Now, look at the coefficients here. We're looking for two numbers that mutliply to get -42 (2 times -21) and add to make 1.

Think of factors of 42. 7 times 6 is 42. 7 minus 6 is 1...your numbers are 7 and -6. Now all we have to do is split the middle and factor.

$3(2x^2+7x-6x-21)\n3(x(2x+7)-3(2x+7))\n\boxed{3(2x+7)(x-3)}$

Answer 2

Answer: it would be A. work the equation backwards. 3(2x+7)(x-3) * represents multiply
3*2x=6x
3*7=21 leaves you with (6x+21)(x-3)
follow FOIL: first outer inner last
F:6x*x=6x²
O:6x*-3=-18x
I:21*x=21x
L:21*-3=-63
6x² -18x+21x=3x -63
you would get 6x²+3x-63 so A is the answer

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Which equation and solution can be used to solve this problem? Twenty-two less than a number is twenty-four. q + 22 = 24: Subtract 22 from both sides. The answer is 2. 24 + q = 22: Subtract 22 from both sides. The answer is 2. q minus 24 = 22: Add 24 to both sides. The answer is 46. q minus 22 = 24: Add 22 to both sides. The answer is 46.

Answers

Answer:

q-22=24. Hope this helps.

Step-by-step explanation:

22 less than a number, meaning 22 is subtracted FROM an unknown variable. Going by this you would add 22 on both sides, giving you an answer of 46.

Answer

The answer is 46. q minus 22 = 24: Add 22 to both sides.

Step-by-step explanation:

''Twenty-two less than a number is twenty-four''

The equation q -22 = 24 because a number [q] less than [22] is [24]

Therefore, the answer is 46.

What is the relationship between Angle DXA and Angle AXB?Supplementary

Vertical

Complementary

Alternate Exterior

Answers

Supplementary angles

HELP PLEASE!! VERY APPRECIATED
•In the triangle below what is the tangent of 30°?

Answers

Answer:

The correct answer is D. 1/√3

Step-by-step explanation:

The ratio of the opposite side and the adjacent side to the given angle is the tangent.

According to the image below formula is:

tangent(α)=a/b

a= oppositive side: the side in front of the given angle.

b= adjacent side: the side next to the given angle.

α= the given angle.

According to the image, the value of “a” is 1 and there is √3 for “b”.

So, the correct answer is D. 1/√3

Answer: D

Step-by-step explanation:

Tangent is...

other leg/ adjacent leg

Janelle can get a 24-pack of bottled water for $6.80. How much would Janelle have to pay for a 12-pack of bottled water if the ratios are proportional?

Answers

She would have to pay $3.40 I think. A 12-pack is half the size of a 24-pack so I did half the price.

Answer: $3.40. I think this is the answer

A square pyramid has a base with a side length of 12 inches. Each face has a height of 7 in. What is the surface area of the pyramid?

Answers

A = 365.27
Base edge = 12 in
Height = 7 in
hope this helps u :)

Answer:

365.5

Step-by-step explanation:

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