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3 years ago

Consider the equation 4+2(5x-8) = ax +b.

Mathematics

2 answers:

CaHeK987 [17]3 years ago

7 0

Answer:

a= 10

b = -12

Step-by-step explanation:

4+2(5x-8) = ax +b.

4+10x-16 = ax + b

4-16+10x = ax+b

-12+10x= ax+b

10x+(-12)= ax+b

ax= 10x

a= 10

b = -12

vlada-n [284]3 years ago

5 0

Answer:

a = 10, b = -12

Step-by-step explanation:

4+2(5x-8) = ax +b

4 + 10x - 16 = ax + b

10x - 12 = ax + b

Infinitely many solutions when:

a = 10

b = -12

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The difference of 2 squared numbers equals 53, what are the numbers

Eva8 [605]

Answer:

27, 26

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27^2 -26^2 = 729 -676 = 53

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2 years ago

Best answer gets the brainliest! Find $a/b$ when $2\log{(a -2b)} = \log{a} + \log{b}$.

andrey2020 [161]

By some properties of logarithms, rewrite the equation as

$2\log(a-2b) = \log(a) + \log(b) \\\\ \log(a-2b)^2 = \log(ab)$

so that

(a - 2b)² = ab

Expand the left side:

a ² - 4ab + 4b ² = ab

Rearrange terms to get a quadratic equation in a/b :

a ² - 5ab + 4b ² = 0

b must be greater than 0, otherwise log(b) doesn't exist, and the same goes for a. So we can divide by b ² to get

a ²/b ² - 5a/b + 4 = 0

Factorize and solve for a/b :

(a/b - 4) (a/b - 1) = 0

==> a/b = 4 or a/b = 1

However, if a/b = 1, then a = b makes a - 2b = -b. But we must have b > 0, so we omit the second solution and end up with

a/b = 4

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2 years ago