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3 years ago

Factor the expression 4x^2 +12x -72

Mathematics

1 answer:

Ray Of Light [21]3 years ago

7 0

Answer:

$\boxed{\bold{\left(3x-2\right)^2}}$

Step By Step Explanation:

Rewrite $\bold{9x^2-12x+4}$

$\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}$

Rewrite Equation

$\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}$

Apply Perfect Square Formula $\bold{\left(a-b\right)^2=a^2-2ab+b^2: \ a=3x,\:b=2}$

$\bold{\left(3x-2\right)^2}$

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The altitude a ( in feet) of a plane t minutes after lift off is given by a=3400t+600

Julli [10]

Answer:

6 minutes

Step-by-step explanation:

'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:

21000 = 3400t +600

You can solve this for t:

20400 = 3400t . . . . . subtract 600 from both sides

6 = t . . . . . . . . . . . . . . . divide both sides by 3400

The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.

The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:

The plane is at an altitude of 21000 feet 6 minutes after lift off.

4 0

2 years ago

17. Mary Palm's checking account had a starting balance of $785.63. She wrote a check for $57.00 for groceries and a check for $

Scrat [10]

Answer:B 660.88

Step-by-step explanation:

First, 785.63-57=728.63

Then 728.63 - 125=603.63

Last add 603.63 to 125.00

To give 660.88

4 0

2 years ago

Rewrite the following equation in slope-intercept form. x + 5y = -11 Write your answer using integers, proper fractions, and imp

AveGali [126]

Answer:

$\displaystyle y = -\frac{x}{5} - 2\frac{1}{5}$

Step-by-step explanation:

$\displaystyle x + 5y = -11 → 5y = -x - 11 → \frac{5y}{5} = \frac{-x - 11}{5} \\ \\ y = -\frac{1}{5}x - 2\frac{1}{5}$

I am joyous to assist you at any time.

7 0

2 years ago

3 over 3 - square root 5

DIA [1.3K]

Answer:

-1.236.

Step-by-step explanation:

3/3 = 1.

√5 = 2.236.

1.000 - 2.236 = -1.236.

the answer is negative because the smaller number is subtracting the larger number..........u just subtract the normal way,( the larger number take away the smaller number), but u should insert a negative sign to the answer.

5 0

3 years ago

At a benefit concert, nine bands have volunteered to perform but there is only enough time for six of the bands to play. How ma

Yuliya22 [10]

You have to calculate how many ways you can select six things (r)
from a set of 9 things (n). (See attached formula).

9! / 6! * (3!) =
9*8*7 * 6! / 6! * 3! =
9*8*7 / 3! =
3 * 4 * 7 = 84 lineups

5 0

2 years ago