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erastovalidia [21]
3 years ago
9

Which system of equations is graphed below?

Mathematics
2 answers:
Bad White [126]3 years ago
8 0

Answer:

B

Step-by-step explanation:

You know that the graph intercepts at the point of (4,-2)

Where x = 4 and y = -2.

This means that whenever you plug a value of x in the equation it should give the value of y.

For example when you plug x= 4 into the equation (B), it should look like this.

4- y = 6, solving for y gives us the value negative 2.

This means that it does give us this point, however, as the graph shows us, both lines meet at the point which means that both equation should give us this point.

If we substitute x = 4 in the second equation of b, we should be able to get 3(4) + 4y = 4. Solving for y gives us -2.

Hope this helps.

Virty [35]3 years ago
5 0
Answers is B
Explication
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Answer:
y= 8.99x + 20
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3 years ago
Express 78 billion in scientific notation
ryzh [129]

Answer:

7.8 * 10^{10} is scientific notation of 78 billion

Step-by-step explanation:

For scientific notation , follow the following notation:

a * 10^{b} -------->(equation 1)

Let,  a^{'} = 78 billion

a^{'} = 78000000000

a^{'} = 78000000000.0

In standard form

a = 7.8000000000

or

a = 7.8

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

7.8 * 10^{10} is scientific notation of 78 billion

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3 years ago
Given the function f(x) square root x+1 -6choose the correct transformation.
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Down 6
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5 0
3 years ago
Does going to a private university increase the chance that a student will graduate with student loan debt? A national poll by t
Snowcat [4.5K]

Answer:

Null hypothesis:p \leq 0.69  

Alternative hypothesis:p > 0.69  

Step-by-step explanation:

1) Data given and notation

n=1500 represent the random sample taken

X represent the number of graduates that had student loan debt in 2014

\hat p=0.71 estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

p_o=0.69 is the value that we want to test

\alpha represent the significance level  

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that if there was a significant increase in the proportion of student loan debt for public and nonprofit colleges in 2014 respect to the value of 2013.:  

Null hypothesis:p \leq 0.69  

Alternative hypothesis:p > 0.69  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.71 -0.69}{\sqrt{\frac{0.69(1-0.69)}{1500}}}=1.675  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>1.675)=0.047  

If we compare the p value obtained and using the significance level assumed \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults that said that it is morally wrong to not report all income on tax returns  is not significantly higher than 0.69.  

5 0
3 years ago
A rectangle has an area of 40 square units. The length is 6<br> units greater than the width.
stiks02 [169]

Answer:

Answer:

The width is 4 units, and the length is 10 units.

Step-by-step.

Step-by-step explanation:

area of rectangle = length * width

Let L = length; let W = width.

"The length is 6 units greater than the width.": L = W + 6

area = LW = 40

Since L = W + 6, we substitute L with W + 6.

(W + 6)W = 40

W^2 + 6W = 40

W^2 + 6W - 40 = 0

(W - 4)(W + 10) = 0

W - 4 = 0 or W + 10 = 0

W = 4 or W = -10

A width cannot be a negative number, so we discard the solution W = -10.

W = 4

L = W + 6 = 4 + 6 = 10

The width is 4 units, and the length is 10 units.

3 0
3 years ago
Read 2 more answers
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