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mojhsa [17]
2 years ago
12

The first term of an arithmetic progres- sion is 3 and the last term is 9. Find the number of terms in the progression if the co

mmon difference is 3/2​
Mathematics
1 answer:
Sav [38]2 years ago
4 0

Answer:

5 terms

Step-by-step explanation:

The numbers will be 3, 4 1/2, 6, 7 1/2, and 9.

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The value of y varies directly as the square of x and y=-12 when x=2. What is y when x=-4?
lesya [120]

The value of y varies directly as the square of x and y = -12 when x = 2 then the value of y when x = -4 exists y = 24.

<h3>What is meant by direct variation?</h3>

When two variable quantities contain a constant ratio, their relationship exists comprehended a direct variation. It exists said that one variable varies directly as the other. The formula for direct variation is y = kx, where k exists the constant of variation.

The constant value (often written k) relating amounts that rise or fall uniformly together. It exists the ratio of the amounts y and x:

k = y/x.

Put another way: y = kx.

Accordingly, the equation has the form y = kx, where k may be any number.

Substituting y = -12 when x = 2, we get

-12 = k × 2

simplifying the above equation, we get

⇒ k = -6

Therefore, the required equation exists y = -6x.

The value of y when x = -4 is y = -6 × -4 = 24.

To learn more about direct variation refer to:

brainly.com/question/6499629

#SPJ1

3 0
1 year ago
Carol needs to divide 6 pounds of grain into 3/4-pound bags. How many 3/4-pound bags can Carol fill? 3 O6 O 8
tester [92]

6 pounds of grain

into 3/4 pound bags

To calculate the number of bags, divide the total amount of grain (6) by the weight of each bag (3/4 )

6 / (3/4) = 8 bags

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1 year ago
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