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3 years ago

What is the equation of the line that passes through (7, 4) and (4, -2)?

Mathematics

1 answer:

erastova [34]3 years ago

3 0

Solution:

we have been asked to find the equation of the line that passes through (7, 4) and (4, -2).

First we will find the slope of the line using the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Plugin the given values we get

$m=\frac{-2-4}{4-7}=\frac{-6}{-3}=2$

Now using the point slope form of a straight line

$(y-y_1)=m(x-x_1)$

Plugin the values

$(y-4)=2(x-7)\\ \\ y=2x-14+4\\ \\ y=2x-10\\$

Hence the correct option is a.

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95=-4+33x<br><br> (Work Please.)

alexandr402 [8]

Answer:

Step-by-step explanation:

$-4+33x=95\qquad\text{add 4 to both sides}\\\\-4+4+33x=95+4\\\\33x=99\qquad\text{divide both sides by 33}\\\\\dfrac{33x}{33}=\dfrac{99}{33}\\\\x=3$

6 0

3 years ago

Read 2 more answers

Notice that the alternative hypothesis is a two-tailed test. Suppose ttest_ind method from scipy module is used to perform the t

Korvikt [17]

Answer:

The <em>p</em>-value of the test is 0.0512.

Step-by-step explanation:

The <em>p</em>-value of a test is well-defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.

In this case the output of the t-test_ind method from scipy module is provided as follows:

Output = (-1.99, 0.0512)

The first value within the parentheses is the test statistic value.

So the test statistic value is, -1.99.

And the second value within the parentheses is the <em>p</em>-value of the test.

So the <em>p</em>-value of the test is 0.0512.

6 0

3 years ago

You can’t decide which estate agent to use to sell your home, so you research the number of properties each estate agent has sol

Triss [41]

Answer:

B. 130 70

Step-by-step explanation:

Agent B sold the highest number (53.85% ) of houses given the number of listed houses.

Find the percentage of houses each agent sold.

For A

x/100 * 150 = 75

cross multiply and find x, that would be 50%

For B

x/100 * 130 = 70

cross multiply and find x, that would be 53.85%

for C

x/100 *145 = 75

cross multiply and find x, that would be 51.72%

7 0

3 years ago

Which complex number will be plotted below the real axis and to the right of the imaginary axis?

matrenka [14]

Since below and to the right is in the FOURTH QUADRANT
So,
<span>(4 - i) is in the FOURTH QUADRANT. </span>

3 0

3 years ago

You are volunteering to help with the soccer team fundraiser for Valentine's Day. Your team promised to deliver one 16 ounce bag

icang [17]

The student, who suggests that if we do half and half of each bag, we will be giving them at least 60%,<u> is correct</u>.

<h3>What is the implication of the phrase "at least"?</h3>

The phrase "at least" means the minimum that is true or possible.

Mathematically, by "at least," we mean 'equal to or greater than.'

<h3>Data and Calculations:</h3>

Since each bag of nuts contain 16 ounces,

The 1st bag contains x/2 ounces (50%) of plain nuts and x/2 ounces (50%) of chocolate-covered nuts.

The 2nd bag contains x/5 ounces (20%)of plain nuts and 4x/5 ounces (80%) of chocolate-covered nuts.

If half of the 1st bag is mixed with half of the 2nd bag, each bag will contain only 65% (that is, 25% (50%/2) from the 1st bag and 40% (80%/2) from the 2nd bag).

Thus, the student, who suggests that if we do half and half of each bag, we will be giving them at least 60%, <u>is correct</u> since they will not be given less than 60% of chocolate-covered nuts inside.

Learn more about proportions at brainly.com/question/870035

#SPJ1

7 0

2 years ago