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3 years ago

What equation makes the line go through the following points. (11, -3) and (7, 9)

Mathematics

1 answer:

Brums [2.3K]3 years ago

5 0

Answer:

y = -3x + 30

Step-by-step explanation:

First, find the slope using the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (9 - (-3)) / (7 - 11)

m = -12/4

m = -3

Next, find the y-intercept by substituding one of the two points into what the equation is so far:

y = -3x + b

(7, 9)

9 = -3(7) + b

9 = -21 + b

30 = b

Now you have the full equation:

y = -3x + 30

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Brooke saved the same amount of money each week for four weeks. She made this table to show how much money she saved.

Musya8 [376]

Answer:

In 10 weeks of time, Brooke would earn $ 20.

Step-by-step explanation:

Here, according to the table:

The money saved in week 1 = $ 2 = $(1 x 2)

The money saved in week 2 = $ 4 = $ ( 2 x 2)

The money saved in week 3 = $ 6 = $ ( 3 x 2)

The money saved in week 4 = $ 8 = $ ( 4 x 2)

So, by the graph relation, we can see that:

The amount saved in n weeks = ( n x 2) dollars

So, the amount saved by Brooke in 10 weeks is:

Put n = 10, we get:

The money saved = 2 n = 2 x 10 = $ 20

Hence, in 10 weeks of time, Brooke would earn $ 20.

5 0

3 years ago

Multiply (x + 3)(x – 3).

lyudmila [28]

B would be correct the -3 x and 3 x cancel out

7 0

3 years ago

Read 2 more answers

Data is collected to compare two different types of batteries. We measure the time to failure of 12 batteries of each type. Batt

-Dominant- [34]

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is tested if it does not outlast by more than 2 hours, that is, the subtraction is not more than 2:

$H_0: \mu_B - mu_A \leq 2$

At the alternative hypothesis, it is tested if it outlasts by more than 2 hours, that is:

$H_1: \mu_B - \mu_A > 2$

The sample means are: $\mu_A = 8.65, \mu_B = 11.23$

The standard deviations for the samples are $s_A = s_B = 0.67$

Hence, the standard errors are:

$s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934$

The distribution of the difference has mean and standard deviation given by:

$\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58$

$s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 2$ is the value tested at the hypothesis.

Hence:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{2.58 - 2}{0.2735}$

$t = 2.12$

The critical value for a right-tailed test, as we are testing if the subtraction is greater than a value, with a 0.05 significance level and 12 + 12 - 2 = 22 df is given by $t^{\ast} = 1.71$

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

A similar problem is given at brainly.com/question/13873630

7 0

3 years ago

30 subtracted from 4 times a number is greater than the opposite of 10

irakobra [83]

If you're trying to make an inequality, it would be:

30 - 4x > -10.

4 0

3 years ago

WIll mark BRAINLIST plz help

Pani-rosa [81]

F(-1) = 2(-1)^2 + 8(-1)
= 2(1) + (-8)
= -6

3 0

3 years ago

What equation makes the line go through the following points. (11, -3) and (7, 9)​

What equation makes the line go through the following points. (11, -3) and (7, 9)