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3 years ago

Find the y-intercept of a line that passes through (-2,6) and has a slope of -5

Mathematics

2 answers:

a_sh-v [17]3 years ago

6 0

Answer:

its gonna be -4

Step-by-step explanation:

Marysya12 [62]3 years ago

5 0

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})~\hspace{10em} slope = m\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-6=-5[x-(-2)]\implies y-6=-5(x+2)$

$\bf y-6=-5x-10\implies y=-5x\stackrel{\downarrow }{-4}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{y-intercept}{(0,-4)}~\hfill$

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Degger [83]

Answer:

The initial value is 3

It represents the distance between the bird and its nest before any elapsed time which is 3 miles.

Step-by-step explanation:

The graph is shown in the attached image.

The general form of a straight line is:

y = mx + c

where:

m is the slope and c is the y-intercept.

The y-intercept is also known as the initial value. It is the value of y at x=0.

From the givens, we can note that at x = 0, the y-value is 3. This means that the y-intercept is 3.

Now, in the problem, x represents the time in minutes while y represents the distance of the bird from the nest in miles.

At x = 0, meaning before any time elapsed, the distance of the bird from its nest was 3 miles.

Hope this helps :)

4 0

2 years ago

Read 2 more answers

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Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

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

c) Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

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3 years ago

4 CHALLENGE 35 toes—how many feet? Hint Draw a picture to help. How many in all?

storchak [24]

35 toes? 5 toes on each foot
35 divided by 5=7

7 feet…?

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2 years ago

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Sidana [21]

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3 years ago

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Alex17521 [72]

Answer:

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