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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
--------------------------------------------------------------------
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

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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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Read 2 more answers

A random sample of 700 home owners in a particular city found 112 home owners who had a swimming pool in their backyard. Find a

vekshin1

Answer: $(13.28\%,\ 18.72\%)$

Step-by-step explanation:

Given : A random sample of 700 home owners in a particular city found 112 home owners who had a swimming pool in their backyard.

i.e. n= 700 and x= 112

Sample proportion : $\hat{p}=\dfrac{x}{n}=\dfrac{112}{700}=0.16$

z-value for 95% confidence interval : $z_c=1.960$

Now, the 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard will be :-

$\hat{p}\pm z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.16\pm (1.96)\sqrt{\dfrac{0.16(1-0.16)}{700}}$

$=0.16\pm (1.96)(0.013856)\\\\\approx 0.16\pm0.0272\\\\ =(0.16-0.0272,\ 0.16+0.0272)=(0.1328,\ 0.1872)=(13.28\%,\ 18.72\%)$

Hence, 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard : $(13.28\%,\ 18.72\%)$

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3 years ago

Four less than the quotient of a number and 4 is 14. What is the number? Let n be the unknown number.

Maru [420]

So the equation is n/4-4=14
then you +4 to both sides
n/4-4=14 so now the equation is n/4=18 then you multiply 18 by 4 and get 72
+4 +4
then to check your work
72/4-4=14
so N=72
Hope I helped :)

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