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GuDViN [60]
2 years ago
14

Use the distributive property to simplify the expression.

Mathematics
1 answer:
horrorfan [7]2 years ago
5 0

\huge\mathbb{ \underline{SOLUTION :}}

<h3>Given:</h3>
  • \bold{-6(2^2+3)-2(1^2-2)}

\\

The \mathrm{distributive \: property} states that an expression that is given in the form of \small\sf{ A(B + C)} can be solved as \small\sf{A \times (B + C) = AB + AC} . So:

\small\longrightarrow\sf{-24-18-2+4}

\small\longrightarrow\sf{-42+2}

▪ \large\tt{All \:  \: options \: \: are \: \: wrong}

\\

\huge \mathbb{ \underline{ANSWER:}}

\small\longrightarrow\sf{−6 (2^2+3) − 2 (1^2 - 2) = \underline{-6(4+3)}}

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aleksandr82 [10.1K]

Answer:

y is just being multiplyed by -4 :)

Step-by-step explanation:

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A club raised 175% of its goal for a charity. The club raises $875. What was the goal?
charle [14.2K]

Answer: The goal was $500

======================================================

Work Shown:

x% = x/100

175% = 175/100 = 1.75

Let g be the goal, which is the amount of money the club wanted to raise

175% of goal = 175% of g = 1.75g

The expression 1.75g represents how much money was actually raised, which was $875. Set the two expressions equal to each other. Solve for g

1.75g = 875

g = 875/1.75 ....... divide both sides by 1.75

g = 500

The club's goal was to raise $500

Note how 75% of $500 is 0.75*500 = 375

When they raised 175% of the goal, this means they went 75% overboard and added on 375 additional dollars (on top of the 500 they wanted). So they got to 500+375 = 875 which lines up with the instructions. This helps verify the answer.

Or we can see that 1.75*g = 1.75*500 = 875 which helps confirm the answer as well.

3 0
3 years ago
Find the solutions to the equation below. check all that apply
BartSMP [9]

Answer:

A and E

Step-by-step explanation:

Given

20x² - 26x + 8 = 0 ( divide through by 2 )

10x² - 13x + 4 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 10 × 4 = 40 and sum = - 13

The factors are - 5 and - 8

Use these factors to split the x- term

10x² - 5x - 8x + 4 = 0 ( factor the first/second and third/fourth terms )

5x(2x - 1) - 4(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(5x - 4) = 0

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \frac{1}{2} → E

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6 0
3 years ago
Factor the polynomial below. 4x^2-16 A. 4(x + 2)(x - 2) B. 4(x - 2)2 C. 4(2 - x)2 D. 4(2 + x)(2 - x)
marusya05 [52]

Answer:

Option A, 4(x + 2)(x - 2)

Step-by-step explanation:

<u>Step 1:  Pull out a 4 </u>

<em>4(x^2 - 4) </em>

<u>Step 2:  Factor x^2 - 4 </u>

x^2 - 4

<em>(x + 2)(x - 2) </em>

<u>Step 3:  Combine </u>

<em>4(x + 2)(x - 2) </em>

Answer:  Option A, 4(x + 2)(x - 2)

3 0
4 years ago
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