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2 years ago

What is the equation of the line that passes through the points (2,7) and (0, 6)?

Mathematics

1 answer:

kirill115 [55]2 years ago

3 0

Answer:

y = 1/2(x) + 6

Step-by-step explanation:

The slope-intercept equation of a line is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. In this case, so far, we're given the y-intercept as 6.

The equation looks like this now: y = mx + 6.

Next, to find the slope, we use the formula $\frac{y_2-y_1}{x_2-x_1}$ and plug in values of the two points.

$\frac{6-7}{0-2}$
$-1/-2$
$1/2$
m = 1/2

Therefore, the equation is y = 1/2(x) + 6.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Lilit [14]

Based on Neena's qualifications and desire for the highest pay scale, she would be best suited for a <u>supply chain manager</u><u> career</u>.

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5 0

2 years ago

Meg invested $16,000 in a savings account. If the annual interest rate is 6%, how much will be in the account in 5 years for qua

nexus9112 [7]

Answer:

In 5 years the account will be $ 21,549.68.

Step-by-step explanation:

Given that Meg invested $ 16,000 in a savings account, if the annual interest rate is 6%, to determine how much will be in the account in 5 years for quarterly compounding, the following calculation must be performed:

16,000 x (1 + 0.06 / 4) ^ 5x4 = X

16,000 x 1,015 ^ 20 = X

16,000 x 1.34685500 = X

21,549.68 = X

Therefore, in 5 years the account will be $ 21,549.68.

8 0

3 years ago

4/15 simplified <br> I need help explain in the answer (so I get how to simplify it)

lorasvet [3.4K]

4/5 is already in the simplest form but it can be written as 0.8 in decimal form

____________________________________________

To get the decimal

divided 4 by 5

which = 0.8

_______________

Hope this helps!

-Lexi

7 0

3 years ago

The owners of a recreation area are filling a small pond with water. Let be the total amount of water in the pond (in liters). L

EleoNora [17]

Answer:

As we can see the domain is the:"number of minutes water has been added". And from the information given the values for T are between 0 and 60 so then the set of values would be "the set of all real numbers from 0 to 60", and we start from 0 because the time can't be negative.

For the range who represent "amount of water in the pond (in liters)" we need to analyze the possible values for W, since T is defined between 0 and 60 the limits for W are:

$W(0) = 35*0 +300 = 300$

$W(60) = 35*60 +300= 2400$

So then the set of values for the range are "the set of all real numbers from 300 to 2400" liters.

Step-by-step explanation:

Assuming this complete problem: "The owners of a recreation area are filling a small pond with water. Let W be the total amount of water in the pond (in liters). Let T be the total number of minutes that water has been added. Suppose that $W = 35T+300$ gives as a W function of during the next 60 minutes.

Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values. "

Solution to the problem

For the range who represent "amount of water in the pond (in liters)" we need to analyze the possible values for W, since T is defined between 0 and 60 the limits for W are:

$W(0) = 35*0 +300 = 300$

$W(60) = 35*60 +300= 2400$

So then the set of values for the range are "the set of all real numbers from 300 to 2400" liters.

3 0

3 years ago

A cone shaped tent has a height of 7.5 feet and a diameter of 12feet. What’s the volume of the cone?

Fed [463]

Answer:

282.6 cubic feet

Step-by-step explanation:

The volume of the cone is found using the volume formula for a cone $V=\frac{1}{3}\pi r^2h$ .

Substitute h=7.5 and r = 6 (since the radius is half the diameter of 12).

$V = \frac{1}{3}\pi r^2h\\V = \frac{1}{3}\pi (6^2)(7.5)\\V=\frac{1}{3}\pi *36*7.5\\V = \frac{847.8}{3}\\V= 282.6$

6 0

3 years ago