Answer:
y= 2x + 5
Step-by-step explanation:
Answer:
Part A)
- 4.50 × 3 > 4.50 × 2
- 13.5 0 > 9
Part B)
Explanation:
1) The earnings are calculated multiplying the number of hours by the hourly rate.
2) The hourly rate of both Peter and Cindy is the same: $ 4.50 / hour
3) Let the variable used for computing the number of hours be h.
4) The number of hours Peter works every day is 3 hours, so, using the letter P to name Peter's earnings, the expression to calculate his earnings is:
5) Similarly, the expression to calculate Cindy's earnings would be:
<u>Answering part A)</u>
<u>Y</u>ou have to write an inequality to compare Peter's and Cindy's earnings:
- 4.50 × 3 > 4.50 × 2
- 13.5 0 > 9
This is, the earnings of Peter are greater than the earnings of Cindy.
<u>Part B)</u>,
You have to write an inequality to calculate Cindy's per-hour income so that she earns at least $ 14 a day.
- Here, C ≥ 14, because the sign ≥ means greater than or equal to, meaning the the earnings are greater than or equal to 14.
- Thus, since she works 2 hours per day, the inequality becomes 2 × r ≥ $ 14, where r is the per-hour income.
- To solve it follow these steps:
Given: 2r ≥ 14
Divide both sides by 2: r ≥ 14 / 2
Simplify: r ≥ 7
That means that Cindy's per-hour income should be at least $7 and hour so that she earns $14 a day.
Answer:
m = 
Step-by-step explanation:
Given a quadratic equation in standard form ax² + bx + c = 0 ( a ≠ 0)
Then the discriminant Δ = b² - 4ac gives information on the nature of the solutions.
For the equation to have 1 solution we require b² - 4ac = 0
mx² - 6x + 5 = 0 ← is in standard form
with a = m, b = - 6, c = 5, then
b² - 4ac = 0
(- 6)² - (4 × m × 5) = 0
36 - 20m = 0 ( subtract 36 from both sides )
- 20m = - 36 ( divide both sides by - 20 )
m = 
=
Answer:
7, 9, 11
Step-by-step explanation:
x+x+2+x+4=5(x+2)-18
3x+6=5x+10-18
3x+6=5x+-8
3x=5x+-14
-2x=-14
x=7
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
We can define z = 3^(x/10). Then the equation is quadratic, which we can solve by completing the square. X can be found from the positive solution for z.
