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german
3 years ago
15

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

Mathematics
1 answer:
True [87]3 years ago
7 0
Question 1:

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

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

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

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

--------------------------------------------------------------------
Answer: y = 5x - 11
--------------------------------------------------------------------

Question 2:

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

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

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

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

--------------------------------------------------------------------
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                         <u> 2  =  y/5 - 8</u>

Add  8  to each side:          10  =  y/5

Multiply each side by  5:  <em>  50  =  y</em>
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:

4 0
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.

<u><em>Let p = proportion of all cars in San Francisco who are blue</em></u>

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 <u>One-sample z proportion</u> <u>statistics</u>;

                                  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, <u><em>test statistics</em></u>  =  \frac{0.235-0.25}{{\sqrt{\frac{0.235(1-0.235)}{600} } } } }

                               =  -0.866

<em>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.</em>

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.
3 0
3 years ago
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