Answer:
29) x = 17
30) x =14
31) x = 23
32) x = 44
Step-by-step explanation:
29)
6x - 17 = 85
6x = 102
x = 17
30)
4x + 21 + 103 = 180
4x + 124 = 180
4x = 56
x = 14
31)
2x + 23 = 4x - 23
-2x = - 46
x = 23
32)
4x - 42 = 134
4x = 176
x = 44
Answer:
135
Explanation:
Substitute 3 and 9 for a & b
5(3)(9)
= 135
Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7
Answer:
<h2> The fourth</h2>
Step-by-step explanation:
Vertex of f is (-1, -4) so its range is limited to y≥-4
|x+1| is always ≥0 therefore -|x+1| is always ≤0 {4 is insignificant to this - slope doesn't mean in range} so its range is limited to y≤0
Answer:
Step-by-step explanation:
Parallel lines have identical slopes and different y intercepts.
y = 3x + 2
y = 3x + 9
These lines are parallel with the same slopes (3) and different y intercepts (2 and 9)