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3 years ago

Write an equation of the line that passes through the given point and is parallel to the graph of the given equation.

1 answer:

7 0

Question 1:

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Find Slope
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Equation: y = 5x - 2
Slope = 5
Slope of parallel line = 5

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Insert slope into the general equation y = mx + c
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y = 5x + c

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Find y-intercept
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At point (2, -1)
y = 5x + c
-1 = 5(2) + c
c = -1 - 10
c = -11

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Insert y-intercept into the equation
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y = 5x + c
y = 5x - 11

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Answer: y = 5x - 11
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Question 2:

--------------------------------------------------------------------
Find Slope
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y = 9x
Slope = 9
Slope of the parallel line = 9

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Insert slope into the equation y = mx + c
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y = 9x + c

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Find y-intercept
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y = 9x + c
At point (0, 5)
5 = 9(0) + c
c = 5

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Insert y-intercept into the equation
--------------------------------------------------------------------
y = 9x + c
y = 9x + 5

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Answer: y = 9x + 5
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What is 2 = y/5-8 plzzz answer!!!

umka2103 [35]

It's a simple linear equation in 'y'. There is only one number that 'y' can be
that will make the equation a true statement. That number is called the
'solution' to the equation. Here's one way to find it:

You said that  2 = y/5 - 8

Add 8 to each side: 10 = y/5

Multiply each side by 5:  50 = y

3 0

3 years ago

Read 2 more answers

What is the equation of the following line written in slope-intercept form? x-intercept of 2

OverLord2011 [107]

Answer:

your answer is the 2nd one

Step-by-step explanation:

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3 years ago

A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco

sammy [17]

Answer:

No, we can't reject the dealer's claim with a significance level of 0.05.

Step-by-step explanation:

We are given that a local car dealer claims that 25% of all cars in San Francisco are blue.

You take a random sample of 600 cars in San Francisco and find that 141 are blue.

Let p = proportion of all cars in San Francisco who are blue

SO, Null Hypothesis, $H_0$ : p = 25% {means that 25% of all cars in San Francisco are blue}

Alternate Hypothesis, $H_A$ : p $\neq$ 25% {means that % of all cars in San Francisco who are blue is different from 25%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of 600 cars in San Francisco who are blue = $\frac{141}{600}$ = 0.235

n = sample of cars = 600

So, test statistics = $\frac{0.235-0.25}{{\sqrt{\frac{0.235(1-0.235)}{600} } } } }$

= -0.866

Now at 0.05 significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that 25% of all cars in San Francisco are blue which means the dealer's claim was correct.

4 0

3 years ago

An online retailer sells two packages of protein bars.

krok68 [10]

In order to find the price per bar, we divide the price by the amount of bars. For the first one:

15.37/10 = $1.54 per bar

The second package:

15.35/12 = $1.28 per bar.

The 10-pack costs $1.54 per bar and the 12-pack costs $1.28 per bar. The 12-pack has the better price per bar.

Now, let's look at the price per ounce. We do this in a similar way. We find the total amount of ounces in the package, and divide the price by the number of ounces.

In the first package, we multiply 10*2.1=21. We have 21 ounces in the first package. Now we divide 15.37/21. In the first package, we have 0.73 dollars per ounce.

Now, let's look at the second package. We start by multiplying 1.4*12=16.8. There are 16.8 ounces in the package. Now, we divide 15.35/16.8=0.91. So, in the second package, we have 0.91 dollars per ounce.

The cost per ounce of the 10-pack is $0.73 and the cost per ounce of the 12-pack is $0.91. The first package has the better price per ounce.

The better explanation is the second one, because I prefer the lower price per ounce, I think that the 1st pack is the better buy.

5 0

3 years ago

3. What is the solution set of the equation 3x + 5) = x + 2?

Simora [160]

The solution set of 3x+5=x+2 is x=-1. This is because you want to get the variables on one side and the numbers on the other. you subtract x on both sides and subtract 5 on both sides. your equation then becomes 3x=-3. you then divide 3 on both sides and you get your answer of x=-1.

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3 years ago