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Nitella [24]
3 years ago
5

Solve the given equation: 2 x ( x + 3 ) − 6 ( x + 3 ) = 0 2 x ( x + 3 ) - 6 ( x + 3 ) = 0

Mathematics
1 answer:
vitfil [10]3 years ago
6 0

Answer:

x = 3 or x = -3

Step-by-step explanation:

Solve for x over the real numbers:

2 x (x + 3) - 6 (x + 3) = 0

Expand out terms of the left hand side:

2 x^2 - 18 = 0

2 x^2 - 18 = 2 (x^2 - 9):

2 (x^2 - 9) = 0

Divide both sides by 2:

x^2 - 9 = 0

x = (0 ± sqrt(0^2 - 4 (-9)))/2 = ( ± sqrt(36))/2:

x = sqrt(36)/2 or x = (-sqrt(36))/2

sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:

x = 6/2 or x = (-6)/2

6/2 = 3:

x = 3 or x = (-6)/2

(-6)/2 = -3:

Answer: x = 3 or x = -3

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A) Dilation

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3 years ago
A system of equations is shown below:
Alexandra [31]
Hello,

Answer B
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8 0
3 years ago
PLEASE HELP ME WITH THIS ASAP AND SHOW WORK PLEASE
Shkiper50 [21]
<h2>Step-by-step explanation:</h2>

A: f(x)=8x-2

1. Switch the f(x) to y

y=8x-2

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x=8y-2

3. Solve for y:

------------------------------

1. Add 2 to both sides.

 x=8y-2

+2     +2

2. Divide both sides by 8.

x+2=8y

---     ---

8       8

1/8x+1/4=y

3. Write in f-inverse form

f^-1(x)=1/8x+1/4  

B: g(x)=2/3x+6

1. Switch the g(x) to y

y=2/3x+6

2. Switch y to x and x to y

x=2/3y+6

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------------------------------

1. Subtract 6 from both sides.

x=2/3y+6

-6        -6

2. Multiply both sides by 3/2 (to cancel out the 2/3)

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C: h(x)-4x-12

1. Switch the h(x) to y

y=-4x-12

2. Switch y to x and x to y

x=-4y-12

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------------------------------

1. Add 12 to both sides.

x=-4y-12

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2. Divide both sides by -4

x+12=-4y

------    ---

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3. Write in h-inverse form

h^2(x)=-1/4/x-3

4 0
2 years ago
What is the product of 3 × 50 × 18 × 2? <br><br>       A. 2,700   B. 540   C. 1,800   D. 5,400
sp2606 [1]

The answer is D because when you insert it into a calculator it gives you D. Yet, if you do it manually you still get the same number .

3 0
3 years ago
Read 2 more answers
A bottle fruit juice holds 1.89L. If shakira bought almost 6L of fruit juice, how many bottles did she buy
anyanavicka [17]
Since the question is asking how many bottles Shakira bought that was ALMOST 6L, she bought about 3 bottles.

6.00 / 1.89= 3.17460317= 3.175
Liters/ Bottle of Juice Amount

To check your work, multiply 3.175 by 1.89, you’d get 6.00075, about 6L.

The question is asking ALMOST, so it can’t be exact, so uyour answer would instead be 3.
3• 1.89=5.67L
3 0
3 years ago
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