Answer:
The area of the parallelogram is 40.
Step-by-step explanation:
You multiply the base by the height:
4*10= 40
Answer:
f(4) = (4)² + 5(4) = 36.
g(9) = [3(9) - 4]/2 = 23/2.
f(-3) = (-3)² + 5(-3) = -6.
g(-6) = [3(-6) - 4]/2 = -11.
Set f(x) = 14.
=> x² + 5x = 14
=> x² + 5x - 14 = 0
=> (x + 7)(x - 2) = 0
=> x = -7 or x = 2.
Set g(x) = -28.
=> (3x - 4)/2 = -28
=> 3x - 4 = -56
=> 3x = -52
=> x = -52/3.
Answer:
36
11.5
6
-11
-2, 7
-17.333 / - 17⅓
Step-by-step explanation:
f(4) = 4² + 5(4) = 16+20 = 36
g(9) = 3(9)-4 ÷ 2 = 23÷2 = 11.5
f(-3) = (-3)²+5(-3) = 9 - 15 = 6
g(-6) = 3(-6)-4 ÷ 2 = - 22 ÷ 2 = - 11
f(x) = 14
x² - 5x = 14
x² - 5x - 14 = 0
(x+2) (x-7) = 0
x = - 2 or x = 7
g(x) = -28
3x - 4 = - 56
3x = - 52
x = - 52/3 = - 17 ⅓
Answer:
6 days
Step-by-step explanation:
Given
Zoe
Sold out = 12
Rate = 2 daily
Josiah
Sold out = 0
Rate = 4 daily
Required
Determine when they sell the same number of tubs
Represent days with d
The number of tubs sold in any give day can be calculated using:
Tubs = Sold out + Rate * Number of days
For Zoe:
Expression: 12 + 2 * d
Expression: 12 + 2d
For Josiah
Expression: 0 + 4 * d
Expression: 4 * d
Expression: 4d
Next, we equate both expressions to get the number of days
4d = 12 + 2d
Collect like terms
4d - 2d = 12
2d = 12
Solve for d
d = 12/2
d = 6
Hence, it'll take 6 days