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3 years ago

Graphing in Point-Slope Form y−y1=m(x−x1) Graph the equation y+7=−45(x−4) ?

Mathematics

1 answer:

nevsk [136]3 years ago

3 0

Answer:

<h2>The graph is in the attachment.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - a point on a line

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

We have the equation in a point-slope form:

$y+7=-\dfrac{4}{5}(x-4)$

$y-(-7)=-\dfrac{4}{5}(x-4)$

Therefore we have one point: (4, -7).

Convert to the slope-intercept form:

$y+7=-\dfrac{4}{5}(x-4)$ use the distributive property

$y+7=-\dfrac{4}{5}x+\left(-\dfrac{4}{5}\right)(-4)$

$y+7=-\dfrac{4}{5}x+\dfrac{16}{5}$

$y+7=-\dfrac{4}{5}x+3\dfrac{1}{5}$ subtract 7 from both sides

$y=-\dfrac{4}{5}x-3\dfrac{4}{5}$

Put x = -1 to the equation:

$y=-\dfrac{4}{5}(-1)-3\dfrac{4}{5}=\dfrac{4}{5}-3\dfrac{4}{5}=-3$

Therefore we have the second point (-1, -3).

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Determine whether the following statement regarding the hypothesistest for two population proportions is true or false.

murzikaleks [220]

Answer:

False

Step-by-step explanation:

Let p1 be the population proportion for the first population

and p2 be the population proportion for the second population

Then

$H_{0}$ p1 = p2

$H_{a}$ p1 ≠ p2

Test statistic can be found usin the equation:

$z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample population proportion for the first population

p2 is the sample population proportion for the second population

p is the pool proportion of p1 and p2

n1 is the sample size of the first population

n2 is the sample size of the second population.

As |p1-p2| gets smaller, the value of the test statistic gets smaller. Thus the probability of its being extreme gets smaller. This means its p-value gets higher.

As the p-value gets higher, the null hypothesis is less likely be rejected.

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3 years ago

Explanation and answer please :)

puteri [66]

Step-by-step explanation:

You use the I = PRN formula

P = 11 500

R = 7.25% but you have to 7.25 divide by 100 so it becomes a decimal so it should be 0.0725

N = 2 years and 6 months. This can be 2.5 years because half of 12 is 6

the solution is 11 500 × 0.0725 × 2.5 = 2084.38

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3 years ago

What comes next in the sequence? 10, 30, 90, __, __, __

Amiraneli [1.4K]

<h2>Hello!</h2><h2> $\boxed{\boxed{\bf THEME:\:NUMBER\:\:SEQUENCES}}$ </h2>

Answer:

It is 270, 810 and 2430

Step-by-step explanation:

10 x 3 = 30

30 x 3 = 90

90 x 3 = 270

270 x 3 = 810

810 x 3 = 2430

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$\heartsuit$ Greetings $\heartsuit$

Sincerely: anapaulacbellido

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3 years ago

Find the exact solution using common logarithms 2^5x+3= 3^2x+1

AfilCa [17]

$2^{5x + 3} = 3^{2x + 1}$
$log_{2}(2^{5x + 3}) = log_{2}(3^{2x + 1})$
$(5x + 3)log_{2}(2) = (2x + 1)log_{2}(3)$
$5x + 3 = 1.58(2x + 1)$
$5x + 3 = 3.16x + 1.58$
$1.84x + 3 = 1.58$
$1.84x = -1.42$
$x \approx -0.77$

6 0

3 years ago

What do you think the message is from the "1936 Nazi Poster" poster?

umka21 [38]

Answer:

Become the leader of our nation.

Step-by-step explanation:

Like all Nazi propaganda, the 1936 poster suggests that young Germans are highly capable of becoming leaders of the nation. A young man who must be blond, with teeth and a perfect body. It was unconditional for Nazi propagandists to convince young people to support the goals and policies of the political party.

On the other hand, the leaders of the Nazi youths sought to integrate the children into the national Nazi community and prepare them to serve as soldiers in the armed forces or, later, in the SS.

7 0

3 years ago

Graphing in Point-Slope Form y−y1=m(x−x1) ​ Graph the equation y+7=−45(x−4) ?

Graphing in Point-Slope Form y−y1=m(x−x1) Graph the equation y+7=−45(x−4) ?