Answer:
t = 7 + 3i
Step-by-step explanation:
(t-7)^2 + 18 = 9
(t-7)^2 = 9 - 18
(t-7)^2 = -9
(t-7) = sqrt(-9) = |3| sqrt(-1)
t = 7 + 3i
Answer:
number of Roses = 60
number of carnations = 80
number of Lilies = 75
Step-by-step explanation:
Roses = $3.00
carnations = $1.00
Lilies = $2.00
Total order = 215
Let
x = number of Roses
y = number of carnations
z = number of Lilies
There are 15 more lilies than roses.
z = x + 15
The total of the order came to $410.00.
x + y + z = 215
3x + y + 2z = 410
substitute z = x + 15
x + y + x + 15 = 215
3x + y + 2(x+15) = 410
2x + y + 15= 215
3x + y + 2x + 30 = 410
2x + y = 215 - 15
5x + y = 410 - 30
2x + y = 200 (1)
5x + y = 380 (2)
Subtract (1) from (2)
5x - 2x = 380 - 200
3x = 180
Divide both sides by 3
x = 180/3
= 60
x = 60
Recall
z = x + 15
z = 60 + 15
= 75
z = 75
Substitute the value of x into (1)
2x + y = 200
2(60) + y = 200
120 + y = 200
y = 200 - 120
= 80
y = 80
Therefore,
x = number of Roses = 60
y = number of carnations = 80
z = number of Lilies = 75
Answer:
a. -12
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
h(r) = (2/3)r - 6
h(-9) is r = -9
<u>Step 2: Evaluate</u>
- Substitute: h(-9) = (2/3)(-9) - 6
- Multiply: h(-9) = -6 - 6
- Subtract: h(-9) = -12
And we have our answer!
