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3 years ago

Which equation represents a line parallel to the line shown on the graph?

Mathematics

1 answer:

Mama L [17]3 years ago

7 0

Answer:

-3x+3

Step-by-step explanation:

The equation to the line shown is formed as follows.

It passes through the points (-6,0) and (-8,6)

The gradient of the line=Δy/Δx

=(y₂-y₁)/(x₂-x₁)

=(6-0)/(-8--6)

=6/-2

=-3

The line parallel to the line shown has the same gradient i.e -3

Therefore the line in question is

-3x+3.

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What is the y-intercept for the graph of this line? 3x - 5y= 6

Korvikt [17]

Answer:

y-intercept: (0, -1.2)

Step-by-step explanation:

3 0

2 years ago

Ellen is at a hydroplane boat show starting from 1.0 miles away the boat drives toward her and then passes her the boat travels

navik [9.2K]

The 40 seconds and 50

8 0

2 years ago

When I use a coordinate plane and i'm on the bottom left ...which number would i put first the one on the x axis or the one on t

Serga [27]

Answer:

(-x, -y)

Step-by-step explanation:

The bottom left of the coordinate plane, or quartile 3, is to the left of the x axis origin and below the y axis origin. The x axis and the y axis are merely number lines. To the left of zero are the negatives, and to the right are positives. X is always first, so it would be (-x, -y).

3 0

2 years ago

Read 2 more answers

A market research company conducted a survey to find the level of affluence in a city. They defined the category "affluence" for

malfutka [58]

Answer:

A 95% confidence interval for this population proportion is [0.081, 0.159].

Step-by-step explanation:

We are given that a market research company conducted a survey to find the level of affluence in a city.

Out of 267 persons who replied to their survey, 32 are considered affluent.

Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;

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

where, $\hat p$ = sample proportion of people who are considered affluent = $\frac{32}{267}$ = 0.12

n = sample of persons = 267

p = population proportion

Here for constructing a 95% confidence interval we have used One-sample z-test for proportions.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.12-1.96 \times {\sqrt{\frac{0.12(1-0.12)}{267} } }$ , $0.12+1.96 \times {\sqrt{\frac{0.12(1-0.12)}{267} } }$ ]

= [0.081, 0.159]

Therefore, a 95% confidence interval for this population proportion is [0.081, 0.159].

4 0

2 years ago

The difference between twice an angle's measure and it's supplement is 27. Find the measure of the angle.

mr_godi [17]

2x-(180-x)= 27
2x-180+x= 27
3x-180=27
3x=207
x= 69

Final answer: 69 degrees

6 0

2 years ago