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2 years ago

Hurry please!! Write an equation of the line in slope-intercept form

Mathematics

2 answers:

juin [17]2 years ago

5 0

Answer:

Step-by-step explanation:

Vinil7 [7]2 years ago

5 0

Answer:

$d)\ y=\frac{1}{3}x +2$

Step-by-step explanation:

Slope (m) form: $\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}$

$y=mx+b\\y=\frac{1}{3}x +b$

(3, 3)

$y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b$

$y=\frac{1}{3}x +2$

Check your answer:

$y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3$

This statement is true

Hope this helps!

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Is 2/7x proportional on a graph

Dvinal [7]

No it’s proportional on a table doe

7 0

3 years ago

The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr

GarryVolchara [31]

Answer:

$\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height$

Given:

area = 18 cm²
base = 6 cm
height = (h + 1) cm

Substitute the given values into the equation and solve for h:

$\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)$

$\sf \implies 18 = \sf \dfrac62 (h+1)$

$\sf \implies 18 =3(h+1)$

expand using distributive property of addition $a(b+c)=ab+ac$ :

$\sf \implies 18=3h+3$

subtract 3 from both sides:

$\sf \implies 3h=15$

divide both sides by 3:

$\sf \implies h=5$

To verify:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

3 0

2 years ago

Read 2 more answers

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages ar

Elenna [48]

Answer:

We conclude that the mean amount packaged is equal to 8.17 ounces.

Step-by-step explanation:

We are given that in a particular sample of 50 packages, the mean amount dispensed is 8.171 ounces, with a sample standard deviation of 0.052 ounces.

Let $\mu$ = population mean amount packaged.

So, Null Hypothesis, $H_0$ : $\mu$ = 8.17 ounces {means that the mean amount packaged is equal to 8.17 ounces}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 8.17 ounces {means that the mean amount packaged is different from 8.17 ounces}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean amount dispensed = 8.171 ounces

s = sample standard deviation = 0.052 ounces

n = sample of packages = 50

So, the test statistics = $\frac{8.171-8.17}{\frac{0.052}{\sqrt{50} } }$ ~ $t_4_9$

= 0.1359

The value of t-test statistics is 0.1359.

Also, the P-value of test-statistics is given by;

the meaning of the p-value is that the p-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.001 ounces away from8.17 if the null hypothesis is true.

P-value = P( $t_4_9$ > 0.136) = More than 40% {from the t-table}

Since the P-value of our test statistics is more than the level of significance of 0.01, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean amount packaged is equal to 8.17 ounces.

6 0

3 years ago

What equation represents a line in point slope form that has a slope of 5 and passes the point 1,6

adelina 88 [10]

Answer:

In point slope form: y - 6 = 5(x - 1)

4 0

3 years ago

Gina is making pancakes for breakfast. Each batch of pancakes calls for 1/4 of a teaspoon of salt. Gina has 9/10 of a teaspoon o

nikitadnepr [17]

Divide the total amount she has by how much she needs per batch.

When dividing fractions, flip the second one over and then multiply straight across.

9/10 / 1/4 becomes: 9/10 x 4/1

9/10 x 4/1 = 36/10 = 3 6/10 = 3 3/5

She can make 3 more batches and have 3/5 of a teaspoon left over.

4 0

3 years ago