F(x) = (x² - 3x - 10)(x + 4) becomes (x - 5)(x + 2)(x + 4) when completely factored. Now set each binomial equal to zero.
x - 5 = 0
x = 5
x + 2 = 0
x = - 2
x + 4 = 0
x = - 4
Your zeros are at x = - 4, - 2, and 5. Or at (- 4, 0), (- 2, 0), and (5, 0).
Motorcyclist: 2 hours
Bus: 2.5 hours
Truck: 3 hours
Bicyclist: 7.5 hours
Answer:
n<50
Step-by-step explanation:
7/2*5n + 14<49
7n/2*5+14<49
(7n)+(2*5)14/2*5 <49
7n+10*14/2*5 <49
7n+140/2*5 <49
7n+140/10 <49
7n+140 < 10*49
7n+140 < 490
(7n+140)+(-140)<490+(-140)
7n+140-140<490-140
7n<350
7n/7 < 350/7
n<2*5^2*7/7
n<2*5^2
n<2*25
n<50
Let x be the number of gigabyte of data used.
Plan A:
Total cost = 30 + 5x
Plan B:
Total cost = 50 + 2x
Irfan will use between 5 to 8 gb of data per month.
When x = 5
Plan A = 30 + 5(5) = $55
When x = 8,
Plan A = 30 + 5(8) = $70
When x =5,
Plan B = 50 + 2(5) = $60
When x = 8,
Plan B = 50 + 2(8) = $68
He is probably better off using Plan A. Plan A is a cheaper option up to 7gb of data. He should only swap to Plan B if he consistently use 8gb or more data per month.
Answer:
2, 10, 50, 250
Step-by-step explanation:
Using the formula with a₁ = 2 , then
a₂ = 5a₁ = 5 × 2 = 10
a₃ = 5a₂ = 5 × 10 = 50
a₄ = 5a₃ = 5 × 50 = 250
The first 4 terms are 2, 10, 50, 250
