Answer:
2 real and distinct roots
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c ( a ≠ 0 )
Then the nature of the roots are given by the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then 2 complex roots
x² + 8x + 13 = 0 ← is in standard form
with a = 1, b = 8, c = 13 , then
b² - 4ac = 8² - (4 × 1 × 13) = 64 - 52 = 12
Since b² - 4ac > 0 then the equation has 2 real and distinct roots
Answer:
$12,500.
Step-by-step explanation:
We have been given that a salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $25. Option B is a commission rate of 8% on weekly sales.
First of all we will find amount earned by salesperson with option A.
The salespersons earns $1000 through option A.
Let x be the amount of weekly sales.
8% of x should be equal to 1000 for salesman to earn the same amount with the two options.
Therefore, the salesman needs to make a weekly sales of $12,500 to earn the same amount with two options.
Answer:
b
Step-by-step explanation:
The answer is C...........
Answer:
It will take at least 15 weeks
Step-by-step explanation:
12w+31 ≥ 205
Subtract 31 from each side
12w+31-31 ≥ 205-31
12w ≥ 174
Divide each side by 12
12w/12 ≥ 174/12
w ≥ 14.5
Rounding up to the nearest integer
w ≥ 15
It will take at least 15 weeks
