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MrMuchimi
3 years ago
13

What are the solutions to the quadratic equation 4(x + 2)2 = 36

Mathematics
2 answers:
Alina [70]3 years ago
8 0

Answer:

C. x = -5, and x = 1

Step-by-step explanation:

You have the equation 4(x + 2)2 = 36

You then isolate 4 out of the equation using division on both sides

You are left with (x+2)2 = 9

Next, take square roots

\sqrt({x} +2) ^{2} = \sqrt{9}

This leaves you with x + 2 ± 9

So, x = -2 + 3 = 1

or

x = -2 - 3 = -5

kogti [31]3 years ago
3 0

Answer:

x = -5 and x = 1

Step-by-step explanation:

4( x2 + 4x + 4 ) = 36

4x2 + 16x + 16 = 36

4x2 + 16x - 20 = 0

x2 + 4x - 5 = 0

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Paul has $78 in the bank and saves $30 each week. What is the initial value? Be sure to use negative signs if needed.
marin [14]

Answer:

The initial value is $78

Step-by-step explanation:

Given

Base\ Amount = \$78

Additional = \$30 (weekly)

Required

Determine the initial value

The initial value is the amount he has in its bank account before making his weekly savings.

From the question, we have that his initial balance is $78.

Hence, the initial value is $78

However, his weekly balance can be expressed as:

Balance = Base\ Amount + Additional * number\ of weeks

Represent number of weeks with x; So, we have:

Balance = 78 + 30 * x

Balance = 78 + 30 x

6 0
3 years ago
Write a word problem for the equation. <br> 1/2 (x-4) = 1/3x + 2
Ganezh [65]

Answer:

Half the age of Carlos four years ago is 2 years more than one-third his current age.

Step-by-step explanation:

We want to write a word problem for the equation.

\frac{1}{2} (x - 4) =  \frac{1}{3}x + 2

Let x represent the present age of Carlos.

Four years ago, Carlos was x-4 years.

Half his age four years ago is ½(x-4)

Two years more than one-third his current age is ⅓x+2

3 0
3 years ago
If h(x) = -5x -10 find (h-2)
gizmo_the_mogwai [7]
H(x) = -5x - 10
h(-2) = -5(-2) - 10
h(-2) = 10 - 10
h(-2) = 0
8 0
3 years ago
PLEASE HELP!!<br> Solve.<br><br> 5=15x−3<br><br> Enter your answer in the box.<br><br> x=
patriot [66]

x = 1/120

i did not see the comment about the 1/5 until now

hope this helps

3 0
3 years ago
Heelllppp please!!!!!!!
Brums [2.3K]

Answer:

7.9

Step-by-step explanation:

area of circle equals π× 5 = 15.7

area of half of the circle equals 15.7÷2

=7.85

now round it of and it's 7.9

8 0
3 years ago
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