Brainliest I need help with 4 problems like this...KHAN ACADEMY.

Mathematics

1 answer:

Sedaia [141]3 years ago

5 0

9514 1404 393

Answer:

(x +1)² = 4
(D) x = -1 ±2

Step-by-step explanation:

Start by getting the x-terms on one side of the equal sign. We can do that by subtracting x from both sides.

3 = x² +2x

Now, add the square of half the x-coefficient.

3 +1 = x² +2x +1

(x +1)² = 4 . . . . . . . . write as a square in the desired form

To solve, take the square root, and add the opposite of the left-side constant.

x +1 = ±2

x = -1 ±2 . . . . . . matches choice (D)

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Use all 4 operations and at least one exponent to write and expression that has a value of 10

Yuki888 [10]

5+5=10

15-5=10

5x2=10

20/2=10

10^1 (10 to the power of 1) or 0.1^-1 (0.1 to the power of -1)

7 0

3 years ago

What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?

IrinaK [193]

Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)

then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)

Therefore,

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)

8 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!

Mandarinka [93]

Answer:

C) If you live in a mansion, then you do not have a small lawn to mow.

Step-by-step explanation:

Statement is