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3 years ago

Use matrices to write the equation of the function in the form y = mx + b that contains the points

Mathematics

1 answer:

Fofino [41]3 years ago

3 0

The line has a slope of -6 and a y intercept of 7.

The linear equation is given by:

y = mx + b;

where m is the slope of the line, b is the y intercept, y, x are variables.

The equation of the line passing through the points (6.-29) and (-4,31) is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-29)=\frac{31-(-29)}{-4-6}(x-6)\\\\y+29=-6(x-6)\\\\y=-6x+7$

Hence the line has a slope of -6 and a y intercept of 7.

Find out more at: brainly.com/question/13911928

You might be interested in

Determine the order pair and quadrant for each point:<br> A.<br> B.<br> C.

Taya2010 [7]

Answer:

A: (-4,1) QUAD 2

B: (-1, -3) QUAD 3

C: (2,5) QUAD 1

D: (5, -4) QUAD 4

Step-by-step explanation:

4 0

3 years ago

A truck has left point A with a speed of 60 mph. After 2 hours a car has left point A with a speed of 90 mph. At what distance f

Grace [21]

Answer:

360 miles

Step-by-step explanation:

When the second car catches up with the first car they will have travelled the same distance which we call x miles.

Speed = distance / time

For first car 60 = x / t where t = time taken

giving x = 60t

for second car 90 = x / (t - 2)

giving x = 90t - 180

So equating these 2 equations

60t = 90t - 180

30t = 180

t = 6 hours

So x the distance = 60t = 360 miles answer

3 0

3 years ago

Spike weighs twice as Snowball. How much does Spike weigh ?

kaheart [24]

Answer:

spike weighs 18lbs

Step-by-step explanation:

doubled means multiply by 2 so 2*9=18

5 0

3 years ago

Does arkansas lie south of 40 degrees latitude

Zepler [3.9K]

All of Arkansas is between 33 degrees and 36.5 degrees lol

4 0

3 years ago

1).Calculate T, when sample mean is 120, population mean is 100, standard deviation is 20 and smaple size is 10 using levels of

Sonbull [250]

Answer:

$t=\frac{120-100}{\frac{20}{\sqrt{10}}}=3.16$

$p_v =2*P(t_{9}>3.16)=0.012$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and the true mean is significantly different from 100 at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X=120$ represent the sample mean

$s=20$ represent the standard deviation for the sample

$n=10$ sample size

$\mu_o =100$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is different from 100, the system of hypothesis would be:

Null hypothesis: $\mu = 100$

Alternative hypothesis: $\mu \neq 100$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$t=\frac{120-100}{\frac{20}{\sqrt{10}}}=3.16$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=10-1=9$

Conclusion

Since is a tao tailed test the p value would be:

$p_v =2*P(t_{9}>3.16)=0.012$

8 0

3 years ago

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