Answer:
x = -2 or x = 1/3 thus: B & C
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 7 x - 2 = 2 x - x^2
Subtract 2 x - x^2 from both sides:
3 x^2 + 5 x - 2 = 0
The left hand side factors into a product with two terms:
(x + 2) (3 x - 1) = 0
Split into two equations:
x + 2 = 0 or 3 x - 1 = 0
Subtract 2 from both sides:
x = -2 or 3 x - 1 = 0
Add 1 to both sides:
x = -2 or 3 x = 1
Divide both sides by 3:
Answer: x = -2 or x = 1/3
Answer:
d = 65
w = 55
Step-by-step explanation:
w + 90 + 35 = 180
w + 125 = 180
w = 55
35 + x = 60 (Vertical angle thm)
x = 25
d + x = 90
d + 25 = 90
d = 65
Answer:
Inequality:
120 + 0.05x ≥ 200
Solution:
x ≥ $1,600
Her total weekly sales must be equal to or greater than $1,600
Step-by-step explanation:
Let x represent the weekly sales she must make to reach her goal.
Given;
Pay rate = $8
Weekly total work hours = 15 hours
Commission on sales = 5% = 0.05
Total weekly earnings is;
8×15 + 0.05×x
120 + 0.05x
Minimum Weekly target earnings = $200
So;
120 + 0.05x ≥ 200
Solving the inequality equation;
0.05x ≥ 200 - 120
0.05x ≥ 80
x ≥ 80/0.05
x ≥ 1600
x ≥ $1,600
Her total weekly sales must be equal to or greater than $1,600
Answer:
94
Step-by-step explanation:
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