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uranmaximum [27]
3 years ago
10

Find one value of xxx that is a solution to the equation: (2x+3)^2-4(2x+3)-12=0(2x+3) 2 −4(2x+3)−12=0

Mathematics
1 answer:
strojnjashka [21]3 years ago
4 0

Answer:

x = -5/2 or 3/2

Step-by-step explanation:

If we let z = 2x+3, the equation can be written ...

... z² -4z -12 = 0

and can be factored as

... (z -6)(z +2) = 0

Then the solutions are z = -2, z = 6.

This means the values of x that are solutions are ...

... 2x +3 = {-2, 6} . . . . work with both possibilities at once

... 2x = {-5, 3} . . . . . . . subtract 3

... x = {-5/2, 3/2} . . . . .divide by 2

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Maggie's brother is 3 years younger than four times her age. The sum of their ages is 62. How old is Maggie? Maggie is years old
Nadusha1986 [10]

Answer:

Maggie is 13 years old.

Step-by-step explanation:

1M + 1B = 62

rearrange to get:

1B = 62 - 1M

4M - 3 = 1B

substitute B with 62 - 1M so there is only one variable. this gives:

4M - 3 = 62 - 1M

Get all the variables on one side:

4M + 1M - 3 = 62

Get all non variables on the other side:

4M + 1M = 62 + 3

simplify:

5M = 65

Divide both sides by 5 to get the M by itself:

M = 13.

BONUS:

M + B = 62

B = 49

So her brother is 49 years old.

Maggie is 13 years old.

5 0
4 years ago
Solve the system by substitution. Check your solution.
Zepler [3.9K]

Answer:

a.  (15, 15)

Step-by-step explanation:

We start with those two equations:

1) a - 1.2b = -3

2) 0.2b + 0.6a = 12

We'll begin by modifying equation #1 to isolate a:

a = -3 + 1.2b

Then we'll use this value for a in the second equation:

0.2b + 0.6 (-3 + 1.2b) = 12

0.2b - 1.8 + 0.72b = 12

0.92b = 13.8

b = 15

Then we'll place that value of b in the first equation to find a:

a - 1.2 (15) = -3

a - 18 = -3

a = 15

3 0
3 years ago
Which number line shows the solution to the inequality -3x - 5 < -2 ?
Inessa05 [86]
The answer to his is A
3 0
3 years ago
How do you solve 2x^2+4x=3+3x^2?
allochka39001 [22]

Answer:

5x^2+4x=3

Step-by-step explanation:

You add the like terms: 3x^2 and 2x^2, you get 5x^2. You can't do anything else because there are no more terms that are alike.

So the answer would be 5x^+4x=3

5 0
4 years ago
A public health department charges $25.00 for a flu shot.The vaccine costs $0.78 per shot, a syringe costs $0.51, and the labor
AlladinOne [14]

The cost of a single shot is

.78 +.52 +.96 = 2.26

they charge 25 a shot

25 - 2.26 = 22.74

there is a profit of 22.74 per shot

22.74 * 167 =3797.58

They make $3797.58

5 0
4 years ago
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