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3 years ago

Graph the equation to solve the system. y=2x+7 1/2y=x+7/2

Mathematics

1 answer:

vlabodo [156]3 years ago

3 0

Given equation is y=2x+7 and $\frac{1}{2}y=x+\frac{7}{2}$

Let's simplify the 2nd equation $\frac{1}{2}y=x+\frac{7}{2}$ before we can start graph so that calculation will be easy

$\frac{1}{2}y=x+\frac{7}{2}$

multiply both sides by 2 to cancel out fractions

$2*\frac{1}{2}y=2*x+2*\frac{7}{2}$

y=2x+7

which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.

y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.

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After calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum

Svetlanka [38]

Answer: 40000

Step-by-step explanation:

The formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$ , where p is the prior estimate of the population proportion.

Here we can see that the sample size is inversely proportion withe square of margin of error.

i.e. $n\ \alpha\ \dfrac{1}{E^2}$

By the equation inverse variation, we have

$n_1E_1^2=n_2E_2^2$

Given : $E_1=0.05$ $n_1=1000$

$E_2=0.025$

Then, we have

$(1000)(0.05)^2=n_2(0.025)^2\\\\\Rightarrow\ 2.5=0.000625n_2\\\\\Rightarrow\ n_2=\dfrac{2.5}{0.000625}=4000$

Hence, the sample size will now have to be 4000.

6 0

2 years ago

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 16, b = 17 (5

Blizzard [7]

Answer:

B = 61.75°

Step-by-step explanation:

The formula for the Law of Sines is given as:

a/ sin A = b/ sin B

In the question, we are given the following values

A = 56°, a = 16, b = 17

We are to solve for B

Hence,

16/ sin 56° = 17/sin B

Cross Multiply

sin B × 16 = sin 56° × 17

sin B = sin 56° × 17/16

sin B = 0.88

B = arc sin(0.88)

B = 61.74536°

Approximately B = 61.75°

7 0

3 years ago

Please help! Look at the picture.

monitta

Answer:

Step-by-step explanation:

(27)^(-1/3) + (32)^(-2/5)

1/3 + 1/4

4/12 + 3/12 = 7/12

8 0

3 years ago

What is the mean (average) for -36, -25, 12, -4, 18?

Alina [70]

To find the mean add all the numbers up then divide by how many numbers you have.

-36+(-25)+12+(-4)+18= (-35)

there are a total of five numbers so divide by 5

(-35)/5=(-7)

answer -7

3 0

3 years ago

Read 2 more answers

I desperately need this question answered. See attached image thanks so much

Dahasolnce [82]

For this case we must follow the steps below:

step 1:

We place each of the given points on a coordinate axis

Step 2:

We join the AC points (represented by the orange line)

We join the BD points (represented by the blue line)

It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.

In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply: $m1 * m2 = -1$

In this case, the slope of the orange line is $m1 = 1$ and that of the blue line is $m2 = -1$

Then $m1 * m2 = 1 * -1 = -1$ , it is verified that they are perpendicular.

Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.

Answer:

See attached image

Option D

6 0

2 years ago