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3 years ago

Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2

Mathematics

1 answer:

vivado [14]3 years ago

3 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

y=x-2

We know that Reflecting over the x-axis inverts the sign of the y-coordinate.

Thus, after reflecting over the x-axis, the equation would be:

-y = x - 2

Now, writing the equation in the slope-intercept form

y=mx+b

where

m is the slope and

b is the y-intercept

so the equation in the slope-intercept form

-y = x - 2

y = -x + 2

Here,

The slope = m = -1

The y-intercept = b = 2

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What is an equation of the line that passes through the point ( 6 , − 1 ) (6,−1) and is parallel to the line x − 3 y = 3 x−3y=3?

Nataly [62]

Answer:

y = 1

Step-by-step explanation:

Passes through (6,-1)(6,-1)

Find the slope (m)

m=(y2 - y1) / (x2 - x1)

m=(-1 - (-1) ) / (6-6)

m= 0

Parallel to x - 3y = 3

-3y = -x +3

y = 1/3 x -1

Equation of the line equation is y - y1 = m ( x - x1 )

y - ( -1 ) = 0 ( x - 6 )

y + 1 = 0

y = 1

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3 years ago

What is the average rate of change for the sequence shown below? (-.5, 2.5), (0,3. (.5, 3.5). (1,4)

zhannawk [14.2K]

Answer:

The average rate of change for this sequence is 1

Step-by-step explanation:

The average rate of change is calculated as the slope of the line joining the end points of the sequence.

In this case the end points are;

(-.5, 2.5) and (1,4)

We simply calculate the slope using the gradient formula;

Change in y / change in x

(4 - 2.5)/(1 - -0.5) = 1

7 0

3 years ago

Read 2 more answers

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Andre45 [30]

Answer:

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Step-by-step explanation:

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2 years ago

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numb

dezoksy [38]

Answer:

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

Step-by-step explanation:

Given first sample size n₁ = 677

First sample proportion

$p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{172}{677} = 0.254$

Given second sample size n₂ = 3377

second sample proportion

$p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{654}{3377} = 0.1936$

Null Hypothesis : H₀ : p₁ = p₂.

Alternative Hypothesis : H₁ : p₁ ≠ p₂.

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{P Q(\frac{1}{n_{1} } +\frac{1}{n_{2} }) } }$

where

$P = \frac{n_{1} p_{1} + n_{2} p_{2} }{n_{1}+n_{2} } = \frac{677 X 0.254+3377 X 0.1936}{677+3377}$

P = 0.2036

Q = 1 - P = 1 - 0.2036 = 0.7964

$Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964(\frac{1}{677 } +\frac{1}{3377 }) } }$

Z = 3.775

Critical value ∝=0.05

Z- value = 1.96

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

3 0

3 years ago

a motorist starts from O nd moves in a direction 030° for 36km.he then moves 7km towards the west .how far east his he now from

gavmur [86]

Answer:

11 km

Step-by-step explanation:

Assuming your "direction 030°" is a bearing measured clockwise from north, the amount the motorist moved east on the first leg of the journey was ...

(36 km)sin(30°) = 18 km

From that point, moving 7 km west makes his easterly position ...

18 km -7 km = 11 km . . . . east of O

_____

The sine of an angle is the ratio of the side opposite to the hypotenuse. You can find the length of the side opposite (the easterly motion) by multiplying the sine of the bearing angle by the distance of travel. A diagram can help.

5 0

3 years ago