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3 years ago

What is the intermediate step in the form (x + a)? = b as a result of completing the

Mathematics

1 answer:

Mrac [35]3 years ago

5 0

Answer:

(x + 9)² = 36

Step-by-step explanation:

Given

x² + 18x + 57 = 12 ( subtract 57 from both sides )

x² + 18x = - 45

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(9)x + 81 = - 45 + 81

(x + 9)² = 36

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Determine whether the function is periodic. If it is, find the period.

densk [106]

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Answer:

not periodic

Step-by-step explanation:

There is no value p such that f(x) = f(x+p) for all x. Hence. the function is NOT PERIODIC.

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It seems possible that subtracting the linear increase would result in a periodic function. Because of the linear increase, there is no left- or right-shift of the function that will map it to itself.

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3 years ago

Simplify. please help 2+x8x3+xx

cricket20 [7]

Answer: = x11+x2+2

Step-by-step explanation:

7 0

3 years ago

10(-3n + 8) = 380 pls find n

Flauer [41]

Answer:

n = - 10

Step-by-step explanation:

10(-3n + 8) = 380

-30n + 80 = 380

80 - 380 = 30n

30n = - 300

n = - 300 : 30

n = - 10

3 0

3 years ago

Read 2 more answers

Find f^-1(x) A B C D

inna [77]

Answer:

D. f⁻¹(x) = 2x + 10

Explanation:

The given is:

$f(x) = \frac{1}{2}x - 5$

To find the inverse, follow the below procedures:

1- Convert f(x) to y.

This will give:

$y = \frac{1}{2} x - 5$

2- Swap the x and y variables.

This will give:

$x = \frac{1}{2}y - 5$

3- Solve for y.

This will give:

$x = \frac{1}{2}y - 5\\ \\ \frac{1}{2}y = x+5\\ \\ y = 2x+10$

4- Replace the y in the above step with f⁻¹(x).

This will give us:

f⁻¹(x) = 2x + 10

Hope this helps :)

8 0

3 years ago

Read 2 more answers

EXPLAIN why the solution to the absolute value inequality | 4x - 9 | ≥- 12 is all real numbers.

yulyashka [42]

Answer:

no matter what value you substitute for x, the absolute value will force the result to be a positive number and any positive number is greater than -12

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3 years ago