<span> 3x^2 − 6x = 24
</span>3x^2 − 6x - 24 = 0
3(x^2 - 2x - 8) = 0
3(x - 4)(x + 2) = 0
x - 4 = 0; x = 4
x + 2 =0; x = -2
answer
<span>C) x = −2, x = 4</span>
3x + 6 = 12
First operation was subtraction (subtracting 6 to leave 3x alone)
Second operation was division (Dividing 3 from 3x to isolare x)
3x + 6 = 12
3x + 6 -(6) = 12 - 6
3x = 6
=
3 and 3 cancels out
x = 2
Answer:
A
Step-by-step explanation:
A soccer field is a rectangle 60 meters wide and 110 meters long. The coach asks players to run from one corner of the grass field to the opposite corner. The path from one corner of the grass field to the opposite corner is the diagonal of the rectangular field.
The width, the length and the diagonal of the rectangular field form right triangle. By the Pythagorean theorem,
To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:
-(4x + 17) + 3(7-x)
To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.
-4x - 17 + 21 - 3x
Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.
-7x + 4 (your answer)
Now, we can move on to question 22 and solve it in a similar manner:
7(2n-8) - 4(12 - 8n)
Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.
14n - 56 - 48 + 32n
Next, we will combine like terms (add the n terms together and subtract the constant terms).
46n - 104
Now, we can solve problem 23:
8 + 2(5f - 3)
We will again distribute through the parentheses:
8 + 10f - 6
Combine like terms after that:
10f + 2
Therefore, your answers for the three problems are as follows:
21) -7x + 4
22) 46n - 104
23) 10f + 2
Hope this helps!
