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Ne4ueva [31]
2 years ago
8

If y varies directly as x and y = 12 when x = 8, find y when x = 14.

Mathematics
1 answer:
Alex17521 [72]2 years ago
8 0
The direct variation between x and y may be written as,
                                    y = kx
where k is the constant of variation. From the first set of values of the variables,
                                 12 = k(8)
the value of k is 1.5. Substituting the next set to the same equation,
                                 y = 1.5(14) 
The value of y is 21. 
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2 years ago
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8 0
3 years ago
Let a and b be real numbers satisfying a^3 - 3ab^2 = 47 and b^3 - 3a^2 b = 52. Find a^2 + b^2.
boyakko [2]

Answer: a²+b² = -99/2

Step-by-step explanation:

Since we are given two equations, this equations will be solved simultaneously to get a² and b²

a³ - 3ab² = 47 ... 1

b³ - 3a² b = 52... 2

From 1, a(a² - 3b²) = 47...3

From 2, b(b² - 3a²) = 52... 4

Adding 3 and 4, we have;

a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)

a²+b²-(3b²+3a²) = 99

(a²+b²) -3(b²+a²)= 99

Taking the difference we have

- 2(a²+b²) = 99

a²+b² = -99/2

8 0
3 years ago
Please help!!! ill mark brainliest
Vesnalui [34]

3x - 1 = 3x + 1  

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************************************************

4x - 11 = 7

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2 - 8x = 2 - 8x

add 8x to both sides to get (2 = 2).  This is a true statement so it is: IDENTITY

*************************************************

x + 1 = -x + 4

add x to both sides, subtract 1 from both sides, and divide both sides by 2 to get  (x = \frac{3}{2} ). This statement is true only when x = \frac{3}{2} so it is: CONDITIONAL

Answer: B, A, C, A

6 0
3 years ago
Help and explain please!
Igoryamba
84, first you multiply and divide then you add
6 0
2 years ago
Read 2 more answers
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