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Elza [17]
2 years ago
9

If a line has a slope of 4 and contains the point (-2, 5), what is its equation in

Mathematics
2 answers:
VMariaS [17]2 years ago
8 0

Answer: A. y - 5 = 4(x + 2)

\rule{130}{1}

\rule{1}{5 } \ \ \sf point \ slope \ form : y-y_1  = m(x - x_1) \quad   \   where \ (x_1 , \ y_1)\ are \ points \ \ \ \rule{1}{5}

                                                   Given points: (-2, 5)

solving stepwise:

\rightarrow y - 5 = 4(x - (-2))

\rightarrow y - 5 = 4(x +2)   \bf \quad \quad This \ is \ point \ slope \ form

\rightarrow y - 5 = 4x + 8

\rightarrow y  = 4x + 13 \quad \quad \quad   \quad \bf This \ is \ slope \ intercept \ form

Citrus2011 [14]2 years ago
7 0

Answer:

B. y-5= 4(x-2)

Step-by-step explanation:

I'm not sure how to describe it, believe me tho but if my answer is incorrect my fault then.

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7, 5

Step-by-step explanation:

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Marissa's dance studio charges a monthly fee, plus a fixed amount per class.
Studentka2010 [4]

Answer:

Step-by-step explanation:

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3 years ago
Please answer both with work,please use a paper and picture, thanks ​
Irina-Kira [14]

Answer:

a.  $ \frac{\textbf{17}}{\textbf{4}} $

b.  $ \frac{\textbf{3}}{\textbf{8}} $

Step-by-step explanation:

a. $ \textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}} $

A mixed fraction of the form $ a\frac{x}{y} = a + \frac{x}{y} $

$ \therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4} $

$ = 4 + \frac{1}{4} $

$ = \frac{\textbf{17}}{\textbf{4}} $

b. $ \textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}} $

A mixed fraction of the form $ -c\frac{a}{b} = - c - \frac{a}{b} $

$ \therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8} $

$ = 1 - \frac{5}{8} $

$ = \frac{8 - 5}{8} $

$ = \frac{\textbf{3}}{\textbf{8}} $

Hence, the answer.

8 0
4 years ago
we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to
Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

42% of freshmen do not visit their counselors regularly.

This means that \pi = 0.42

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}

\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2

n = 1076.8

Rounding up:

A sample of 1077 is required.

3 0
3 years ago
Find an equivalent expression. 10-8(4x-2)
andrew-mc [135]

Answer:

-32x+26

Step-by-step explanation:

7 0
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