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notsponge [240]
3 years ago
12

What values of x makes this equation true? (2x+6)^2-14=30

Mathematics
1 answer:
trapecia [35]3 years ago
6 0
(2x+6)^2-14=30 \\ \\ (2(x + 3))^2 - 14 = 30 \\ \\ 2^2 (x + 3)^2 - 14 = 30 \\ \\ 4(x + 3)^2 - 14 = 30 \\ \\ 4(x + 3)^2 = 30 + 14 \\ \\ 4(x + 3)^2 = 44 \\ \\ (x + 3)^2 =  \frac{44}{4} \\ \\ (x + 3)^2 = 11  \\ \\ x + 3 = \pm  \sqrt{11} \\ \\ x =  \sqrt{11} - 3, -  \sqrt{11} - 3 \\ \\

The final result is: x = √11 - 3, -√11 - 3.
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If you used 1 drop of your sample and 4 drops of diluent what is your dilution ratio?
frez [133]

Answer:

1/5

Step-by-step explanation:

1 + 4 = 5

1/5

7 0
3 years ago
Read 2 more answers
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select t
hichkok12 [17]

The equation that has the same solution as  2.3p – 10.1 = 6.5p – 4 – 0.01p are as follows;

  • 2.3p – 10.1 = 6.49p – 4
  • 230p - 1010 = 649p - 400

<h3>How to rewrite an equation? </h3>

2.3p – 10.1 = 6.5p – 4 – 0.01p

The equation that has the same solution as above can be found as follows;

2.3p – 10.1 = 6.5p – 4 – 0.01p

combine like terms

2.3p – 10.1 = 6.5p – 0.01p - 4

2.3p – 10.1 = 6.49p – 4

Multiply through by 100.

Therefore,

230p - 1010 = 649p - 400

learn more on equation here: brainly.com/question/26005958

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4 0
2 years ago
in three plays of a football game, there is a gain of 4 yards, a loss of 9 yards, and a gain of 15 yards. What number can you us
Aloiza [94]

We can use minus(-) sign i.e. -9 to represent loss of 9 yards.

<h3>Write the difference between gain and loss.</h3>

The word “gain” implies “acquiring something”.

Gain means to acquire something one desires especially because of one’s efforts.

Gain means to get something additional, for example, to gain more speed, to gain more weight.

We can denote gain by using plus(+) sign before the given number.

“Loss” generally means “to lose something one already has.”

Loss means the deprivation from keeping something, for example, bearing the loss of a theft.

It refers to something which is lost, for example, the theft of jewelry was a great loss.

We can denote loss by using minus(-) sign before the number.

In the given question it is said that there is gain of 4 yards, loss of 9 yards and gain of 15 yards.

It is asked that how would we represent 9 yards loss.

We know that we use minus(-) sign to represent loss.

So we can represent loss of 9 yards by writing it as -9.

To learn more about gain and loss,

brainly.com/question/18281564

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5 0
1 year ago
A brother and sister attend the same school, and they walk from home to school using the same route. It takes the brother 24 min
madam [21]

Answer:

No

Step-by-step explanation:

24 - 3 = 21 minutes

21 > 18

5 0
3 years ago
Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? Check all that apply.
jeyben [28]
18 + 81 = 9(x²<span> + 6x + 9)
</span><span>11 = (x + 3)</span>²

When we are completing the square, we are going to move the value of c across the equals.  We will do that by adding, and end up with

18=9(x²+6x)

We take the value of b (the coefficient of x), divide it by 2 and square it:
(6/2)²=3²=9

This is the value that completes the square.  However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:
18+9(9) = 9(x²+6x+9)
18+81=9(x²+6x+9)
99=9(x²+6x+9)

Dividing both sides by 9, we have:
11=x²+6x+9

11=(x+3)²
8 0
3 years ago
Read 2 more answers
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