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3 years ago

What is the slope and y-intercept of the equation represented by the following graph?

Mathematics

1 answer:

Solnce55 [7]3 years ago

5 0

Referring the chart I attached, the slope is the ratio of rise to run

So we need to pick two points lying on the line to calculate the slope.

They would be (4,0) and (0,2)

$slope= \frac{rise}{run} = \frac{\Delta y}{\Delta x}= 
\frac{y_2-y_1}{x_2-x_1} = \frac{2-0}{0-4} = -\frac{2}{4} = -\frac{1}{2} 
$

That is for the slope

The y-intercept is where the line touches\crosses\intersects the y-axis...

It is clear from the figure that the line crosses the y-axis at (0,2)
so the<span> y-intercept is $y=2$

</span>

I hope that helps!

If you still need help, just let me know!

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There are 30 books on the library shelf, Sam noted that 1/6 of them are non fiction. Dan notes that 3/5 of the books are fiction

ehidna [41]

Answer:

Step-by-step explanation:

Fiction books: (1/6) of 30 books = 5 books

Non-fiction books: (3/5) of (30) books = 18 books

The subtotal here is 5 + 18, or 23.

23 of the books are either fiction or non fiction.

30 - 23, or 7, of the books remain (are neither fiction nor non-fiction).

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3 years ago

Simplify. -3x = 50<br> a. -150<br> b. 150<br> c. 16 2/3<br> d. -16 2/3

Sedbober [7]

Answer:

$\large\boxed{d.\ -16\dfrac{2}{3}}$

Step-by-step explanation:

$-3x=50\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{50}{-3}\\\\x=-16\dfrac{2}{3}$

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3 years ago

Find the constant of proportional (r) in the equation y = rx

RUDIKE [14]

Answer:

Constant of proportionality,

Step-by-step explanation:

Constant of proportionality states that the constant value of the ratio of two proportional quantities x and y,

it is written in the form of y = kx, where k is the constant of proportionality.

Given the equation: .....[1]

where r is the constant of proportionality.

From the table we consider

x = 14 and y = 1.4

Substitute these given values in [1] to solve for r;

Divide both sides by 14 we get;

therefore, the Constant of proportionality,

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3 years ago

Eva has some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she have in her wall

jek_recluse [69]

Answer:

Step-by-step explanation:

62.17

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2 years ago

Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Perform the

Readme [11.4K]

<h2>Answer with explanation:</h2>

By considering the given information, we have

Null hypothesis : $H_0: \mu=35.0$

Alternative hypothesis : $H_1: \mu\neq35.0$

Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.

Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.

$\overline{x}=41.0$ ; $\sigma= 3.7$

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

i.e. $t=\dfrac{41.0-35.0}{\dfrac{3.7}{\sqrt{20}}}=7.252112359\approx7.25$

Degree of freedom : n-1 = 20-1=19

Significance level = 0.01

For two tailed, Significance level $=\dfrac{0.01}{2}=0.005$

By using the t-distribution table, the critical value of t = $t_{19, 0.005}=2.861$

Since , the observed t-value (7.25) is greater than the critical value (2.861) .

So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.

We conclude that there is some significance difference between the mean score for sober women and 35.0.

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3 years ago