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3 years ago

* What should be added to both sides in order to complete the square? x2 + 12x + = 20 + 144 O 36 O 12 O 25

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

because half of 12 is 6 and its square is 36

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Given the points A(-1,2) and B(7,8), find the coordinates of the point P on directed line segment AB that partitions AB in the r

tankabanditka [31]

Now despite what you may believe, 1:3 is not 1/3 in this situation. In this case, it means "1 equal part to 3 equal parts", which is a total of 4 equal parts. In short, this question is to place point P 1/4 the distance from A to B.

Firstly, how far apart is -1 from 7 (the x-coordinates)? That would be 8 units. Multiply 1/4 by 8:

$\frac{1}{4}\times \frac{8}{1}=\frac{8}{4}=2$

Next, how far apart is 2 from 8 (the y-coordinates)? That would be 6 units. Multiply 1/4 by 6:

$\frac{1}{4}\times \frac{6}{1}=\frac{6}{4}=\frac{3}{2}$

Next, since from -1 to 7 you are increasing, add 2 to -1:

$-1+2=1$

1 is your x-coordinate

Next, since from 2 to 8 you are increasing, add 3/2 to 2:

$\frac{2}{1}\times \frac{2}{2}=\frac{4}{2}\\\\\frac{4}{2}+\frac{3}{2}=\frac{7}{2}$

7/2 is your y-coordinate.

Putting it together, your answer is A. (1, 7/2)

5 0

4 years ago

Slope = 1/3 y-intercept = -1

alexandr1967 [171]

Answer:

Step-by-step explanation:

I think you wanted a graph...

The y-intercept is the only part of the y axis where the line passes through.

So the slope is 1/3 -- rise/run

So from -1 on the y axis, go up 1 and right 3

keep going until you run out of space and make a line.

7 0

3 years ago

A sporting goods store believes the average age of its customers is 38 or less. A random sample of 40 customers was surveyed, a

pashok25 [27]

Answer:

Test statistics = 2.85

P-value = 0.002

Step-by-step explanation:

We are given that a sporting goods store believes the average age of its customers is 38 or less.

A random sample of 40 customers was surveyed, and the average customer age was found to be 41.6 years and the standard deviation for customer age is 8.0 years.

Null Hypothesis, $H_0$ : $\mu$ <= 38 years

Alternate Hypothesis, $H_1$ : $\mu$ > 38 years

The test statistics we will use here is;

T.S. = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, X bar = sample mean = 41.6 years

$\sigma$ = population standard deviation = 8 years

n = sample size = 40

So, test statistics = $\frac{41.6-38}{\frac{8}{\sqrt{40} } }$ = 2.85

At 5% level of significance, the z table gives critical value of 1.6449. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject the null hypothesis and conclude that average age of its customers is more than 38 years.

P-value is given by, P(Z > 2.85) = 1 - P(Z <= 2.85) = 1 - 0.99781 = 0.002 .

4 0

4 years ago

rajnish mother is 36 year old she is 6 year older than three times raju's age write an equation to find Raju age (take rajnish a

timofeeve [1]

Mother is 36

and she is 6 year older than raju 3 times

N is rajiu age

N = 36÷ ( 6 x 3)

= 36 ÷ (18)

N = 2

Raju is 2 years old

4 0

3 years ago

Imagine that you have plotted many data points on an xy-plane. Your points seem to align into a clear best-fit line. Do you thin

sattari [20]

It depends really. If you stay close to the present, then predicting future results isn't too bad. The further you go out, the more unpredictable things get. This is because the points may deviate from the line of best fit (aka regression line) as time wears on. Of course, it also depends on what kind of data we're working with. Some pairs of variables are naturally going to correlate very strongly together. An example would be temperature versus ice cream sales.

5 0

4 years ago

* What should be added to both sides in order to complete the square? x2 + 12x + = 20 + 144 O 36 O 12 O 25​

* What should be added to both sides in order to complete the square? x2 + 12x + = 20 + 144 O 36 O 12 O 25