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3 years ago

A line goes through the point (5, −7) and has slope = −3. What is the y-intercept?

Mathematics

2 answers:

Readme [11.4K]3 years ago

6 0

Answer:

the y intercept is 8

Step-by-step explanation:

5,-7. 5x3=15+-7=8

Korolek [52]3 years ago

4 0

<h2>Answer:</h2>

To find the y-intercept, we must plug in the given point and the given slope into <u><em>slope-intercept form*</em></u>.

$-7 = -3(5) + b\\\\-7 = -15 + b\\\\8 = b$

The y-intercept is (0, 8).

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10x - 10y = 1 x = y - 3 solve the system of equations by substitution. a. (-29/20, 31/20) b. (1/2, 2/5) c. no solution d. coinci

Gekata [30.6K]

First you'd substitute x= y-3 in the first equation.

10(y-3) -10y= 1

10y - 30 -10y= 1

The y's cancel each other out, so you're left with -30= 1. That means there's no solution :)

8 0

3 years ago

36 divided by 4 show work

8_murik_8 [283]

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3 years ago

Read 2 more answers

If x is a positive integer then the solution set of 4x+2<14 is

taurus [48]

4x + 2 < 14
4x < 14 - 2
4x < 12
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3 0

3 years ago

So its 8p = 56 is the frist bit and the second is 7. BOOM

Mice21 [21]

p=7, I don't know if this is a question or not

7 0

3 years ago

Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

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

Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

5 0

4 years ago