Solve for x in the equation x2 + 4x-4-8.

Factor the expression below. x2 - 4x + 4 A. 4(x2 - x + 1) B. (x - 2)(x + 2) C. (x + 2)(x + 2) D. (x - 2)(x - 2)

Tanzania [10]

Answer:

D. (x - 2)(x - 2)

Step-by-step explanation:

x2 - 4x + 4 = x² - 2x - 2x +4

= x(x-2) - 2(x - 2)

= (x-2)(x-2)

HINT: - 2x +4 = -2 * x + (-2) * (-2) = -2 ( x -2)

4 0

3 years ago

A company has a budget of $280,000 for computing equipment. Tablets cost $500 each, laptops cost $2000 each, and servers cost $5

Kazeer [188]

Answer:

The number of tablets 200

the number of laptops 40

and, the number of servers 20

Step-by-step explanation:

Let the number of tablets be 'x'

the number of laptops be 'y'

and, the number of servers be 'z'

According to the given question

Total budget = $280,000

Tablets cost = $500 each

laptops cost = $2000 each

servers cost = $5000 each

Thus,

500x + 2000y + 5000z = 280,000 ..............(1)

also,

x = 5y ................(2)

and,

y = 2z

or

z = $\frac{\textup{y}}{\textup{2}}$ ............(3)

substituting y from 2 and 3 in equation 1, we get

(500 × 5y) + (2000 × y) + (5000 × $\frac{\textup{y}}{\textup{2}}$ ) = 280,000

or

2500y + 2000y + 2500y = 280,000

or

7000y = 280,000

or

y = 40

substituting y in equation 2, we get

x = 5 × 40 = 200

substituting y in equation 3 we get

z = $\frac{\textup{40}}{\textup{2}}$

or

z = 20

hence,

the number of tablets 200

the number of laptops 40

and, the number of servers 20

7 0

3 years ago

Pls help due in 10 minutes!!!

Luden [163]

Answer:

$\sf 500,000,000,000=5 \times 10^{11}$

$\sf 0.00000000005=5 \times 10^{-11}$

Step-by-step explanation:

Scientific notation

$\large\boxed{a \times 10^n}$

where:

$1\leq a < 10$

$n$ is any positive or negative whole number.

To convert a number into scientific notation, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is $n$ .

If the decimal point has moved to the left, $n$ is positive.
If the decimal point has moved to the right, $n$ is negative.

To convert 500,000,000,000 into scientific notation, move the decimal point 11 places to left, so a = 5. As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is positive.

$\implies \sf 500,000,000,000=5 \times 10^{11}$

To convert 0.00000000005 into scientific notation, move the decimal point 11 places to the right, so a = 5. As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is negative.

$\implies \sf 0.00000000005=5 \times 10^{-11}$

Learn more about scientific notation here:

brainly.com/question/28235385

8 0

1 year ago

Read 2 more answers

The length of a shadow of a building is 28m. The distance from the top of the building to the shadow is 38m. Find the height of

AlexFokin [52]

It appears that the Pythagorean theorem can be applied to this problem
(distance to shadow)² = (height of building)² + (length of shadow)²
(38 m)² = (height of building)² + (28 m)²
660 m² = (height of building)²
Then the height of the building is
height of building = √660 m ≈ 25.7 m

7 0

3 years ago

one number is equal to two times a second number. two times the first number plus two times the second number is 24. if you let

ziro4ka [17]

X = 2y
2x + 2y = 24
So if x = 2y that means 2x = 4y. Which means that 2x + 2y = 24 can be written as 4y + 2y = 24. Simplified to 6y = 24. Now we need to get 1y so we divide both sides by 6, 6y/6 = y and 24/6 = 4. so y = 4. so x= 2y can be written as x = 8.

5 0

3 years ago