Factor this expression completely.−21x+28
−21x+28 can be factored as -7(3x-4).
simplify the expression. 9/4x+4+2x (1 point) Responses 15x+12 15 x plus 12 5x+4 5 x plus 4 x+4 x plus 4 11/3 x+4 11 thirds x plus 4
To simplify the expression (9/4)x + 4 + 2x, we can combine like terms.
Combining the x terms, we get (9/4)x + 2x = (9/4 + 8/4)x = (17/4)x.
Therefore, the simplified expression is (17/4)x + 4.
Simplify the expression. (5y−1)+(−2y+4)
To simplify the expression (5y - 1) + (-2y + 4), we can combine like terms.
Combining the y terms, we get 5y - 2y = 3y.
And combining the constant terms, we get -1 + 4 = 3.
Therefore, the simplified expression is 3y + 3.
Simplify the expression. (3/4x−1)+(3/4 x−2)
To simplify the expression (3/4x - 1) + (3/4x - 2), we can combine like terms.
Combining the x terms, we get (3/4x + 3/4x) = (6/4)x = (3/2)x.
And combining the constant terms, we get -1 - 2 = -3.
Therefore, the simplified expression is (3/2)x - 3.
Simplify the expression. 7x+3(x−2)−4x+8
To simplify the expression 7x + 3(x - 2) - 4x + 8, we will perform the necessary operations following the order of operations (PEMDAS).
First, we simplify the expression inside the parentheses:
x - 2
Next, we distribute the 3 to the terms inside the parentheses:
3(x - 2) = 3x - 6
Now we can rewrite the expression:
7x + 3x - 6 - 4x + 8
Combining like terms:
(7x + 3x - 4x) + (-6 + 8) = 6x + 2
Therefore, the simplified expression is 6x + 2.