Answer:
B(-3, -8)
Step-by-step explanation:
1/9=0.11111.....
so the correct option is (a).
Answer:
1. x=-6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(2x+3)−4x=−3
(3)(2x)+(3)(3)+−4x=−3(Distribute)
6x+9+−4x=−3
(6x+−4x)+(9)=−3(Combine Like Terms)
2x+9=−3
2x+9=−3
Step 2: Subtract 9 from both sides.
2x+9−9=−3−9
2x=−12
Step 3: Divide both sides by 2.
x=-6
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!
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