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Andrew [12]
2 years ago
9

Do the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table?

Mathematics
1 answer:
notsponge [240]2 years ago
5 0

Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x

<h3>Variation</h3>

  • Direct variation

y = k × x

4 = k × 2

4 = 2k

k = 4/2

k = 2

when y = 2 and x = 4

y = k × x

= 2 × 4

y = 8

  • Indirect variation

y = k/x

4 = k / 2

8 = k

when y = 2 and x = 4

y = k/x

2 = k/4

2 × 4 = k

k = 8

So,

y = k/x

y = 8/x

Learn more about variation:

brainly.com/question/6499629

#SPJ1

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Which numbers should replace the question marks?
slava [35]

The first missing number in the sequence is 35, and the last missing number is 77.

<h3>Next number of the given sequence</h3>

The two missing numbers in the given sequence is calculated as follows;

= ?    49     63    ?

The given sequence is factor 7 which increases by 2

= 7 x 5      7 x 7       7 x 9     7 x 11

= 35         49          63          77

Thus, the first missing number in the sequence is 35, and the last missing number is 77.

Learn more about sequence here: brainly.com/question/6561461

#SPJ1

7 0
2 years ago
What is the area of a square that has a side length of 4x
Alex17521 [72]
A square with a side length of 4 would have an area of 16 because 4x4 equals 16.
4 0
3 years ago
twice the sum of a number and 6 is equal to 3 times the difference of the number and 8. Find the number
Serhud [2]

In order to solve this problem, we must solve an equation.

First, we need to define our unknown.

Let's call our number "n".


So, the sum of the number and 6 is the same as saying n+6

Then we need to multiply it by 2 (since it's twice the sum)

2(n+6)

This whole thing is equal to three times of the difference of the number and 8

n-8 is equal to the difference between the number and 8, then we need to multiply it by three.

3(n-8)

now, we set both sides equal and solve

2(n+6)=3(n-8)\\2n+12=3(n-8)\\2n+12=3n-24\\12=n-24\\36=n

The number is 36

5 0
2 years ago
Solve the inequality for x<br> -x+23&lt;2-2(x-8)
lesya [120]

Answer:

inequality form: x<-5

Step-by-step explanation:

3 0
2 years ago
help me with the Quadratic equation.... x2+ (p - 5) x + 2q = 0 has the roots −3 and 6. Find the value of P and the value of q.​
nirvana33 [79]

Step-by-step explanation:

The quadratic equation is x² + (p - 5)x + 2q = 0.

By Vieta's Formula,

we have SOR = -b/a and POR = c/a.

=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.

=> 3 = 5 - p and -18 = 2q

Hence, p = 2 and q = -9.

Alternate Method:

We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.

=> (x + 3)(x - 6) = x² - 3x - 18.

By Comparing Coefficients,

(p - 5) = -3 and 2q = 18.

Hence p = 2 and q = -9.

8 0
2 years ago
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