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2 years ago

Which is the correct equation of the line for the following graph?

Mathematics

1 answer:

Wewaii [24]2 years ago

3 0

Answer:

Step-by-step explanation:

The equation can be written in slope-intercept form when we know the slope and the y-intercept.

<h3>Slope-intercept form</h3>

The slope-intercept form of the equation of a line is ...

y = mx +b . . . . . . where m is the slope and b is the y-intercept

<h3>Y-intercept</h3>

The y-intercept is the y-value where the line crosses the y-axis. It is 6. This eliminates choices A and D, leaving choices ...

y = 3x +6 . . . . . choice B
y = -3x +6 . . . . .choice C

<h3>Slope</h3>

The line goes down to the right. This is a negative slope, eliminating choice B.

The equation of the line is y = -3x +6.

<em>Additional comment</em>

The line intersects the x-axis at x=2. This means the "rise" of the line is -6 units for a "run" of 2 units. The numerical value of the slope is ...

m = rise/run = -6/2 = -3

Now, we know the parameters of the equation are m=-3, b=6, and the equation of the line is

y =-3x +6

You might be interested in

Add the two expressions.<br><br> −4x+3 and 2x−6<br><br> Enter your answer in the box.

BlackZzzverrR [31]

First, you set your problem up like this:

-4x+3=2x-6

add 6 to both sides so it looks like this:

-4x+9=2x

add 4x to both sides so it looks like this:

9=6x

divide 6 from both sides so this is your answer:

1.5=x

5 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP !!!!!!!

VikaD [51]

Answer:

143º

Step-by-step explanation:

You want to find m<HBD

which is m<HBA minus m<BAD

180º minus 37º equals 143º

m<HBD is equal to 143º

Please give me brainliest

Can anyone who sees this answer my latest question?

I need help with it very soon.

4 0

2 years ago

Read 2 more answers

Aline has a rise of 6 and a slope of<br> 1/20 What is the run

Softa [21]

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The equation is:

slope = rise/run

Rearrange for run:

run = rise/slope

Substitute values in:

run = 6/(1/20)

Solve:

run = 120

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3 0

3 years ago

5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g

anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1117}{10} = 111.7$

Sum of squares of differences = 642.1

$S.D = \sqrt{\frac{642.1}{49}} = 8.44$

We are given the following in the question:

Population mean, μ = 106

Sample mean, $\bar{x}$ = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 106\\H_A: \mu > 106$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0

2 years ago

HELP PLSS I HAVE 10 minutes

omeli [17]

Answer:

h≈1.43

Step-by-step explanation:

Simply ,Square the radius, and then divide the radius squared into the tripled volume. For this example, the radius is 2. The square of 2 is 4, and 300 divided by 4 is 75. Divide the amount calculated in Step 2 by pi, which is an unending math constant that begins 3.14, to calculate the cone's height.

4 0

2 years ago