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ElenaW [278]
3 years ago
5

For which value of x is the equation 3(3 + x) = 15 + x true?

Mathematics
2 answers:
seraphim [82]3 years ago
7 0

<u>Answer:</u>

x=3

<u>Step-by-step explanation:</u>

3(3 + x)=15+x

<u>distribute</u>

9 + 3x=  15+x

<u>subtract x from each side</u>

9+3x-x = 15

9+2x = 15

<u>subtract 9 from each side</u>

9+2x-9 = 15-9

2x = 6

<u>divide by 2</u>

2x/2 = 6/2

x=3

Ymorist [56]3 years ago
7 0

Answer:

X = 3

Step-by-step explanation:

To solve for x, you can first divide both sides of the equation by 3. The reason you do this is because the left side is being multiplied by 3, so dividing would cancel it out

(3(3 + x) = 15 + x)/3   =  3 + x = 5 + 1/3x

Now, subtract 3 from both sides to isolate x on the left side

x = 2 + 1/3x

Lastly, subtract 1/3x from both sides

2/3x = 2

Now, divide both sides by 2/3 to get x = 3.

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pav-90 [236]

Area is length times width so

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The area of the rectangle is 15.3 cm

3 0
2 years ago
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(x+7)^2+9=0<br><br> Find x with quadratics
Ne4ueva [31]

Answer:

x = -7 ±3i

Step-by-step explanation:

(x+7)^2+9=0

Subtract 9 from each side

(x+7)^2+9-9=0-9

(x+7)^2=-9

Take the square root of each side

sqrt((x+7)^2) = ±sqrt(-9)

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x+7 = ±sqrt(-1) sqrt(9)

We know that sqrt(-1) is the imaginary number i

x+7 = ±i *3

x+7 =±3i

Subtract 7 from each side

x+7-7 = -7 ±3i

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6 0
3 years ago
Read 2 more answers
A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98
pshichka [43]

Answer:

The best point estimate for a confidence interval estimating the population μ is 16 ounces.

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The best point estimate for a confidence interval estimating the population μ is

The sample mean, so 16 ounces.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 102 - 1 = 101

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.36

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In which s is the standard deviation of the sample and n is the size of the sample.

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The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

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2 years ago
Please help on this one ?
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Answer:

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Step-by-step explanation:

My notes are in the picture.

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