Solve for x:
x^3 + x^2 + 4 x + 4 = 0
The left hand side factors into a product with two terms:
(x + 1) (x^2 + 4) = 0
Split into two equations:
x + 1 = 0 or x^2 + 4 = 0
Subtract 1 from both sides:
x = -1 or x^2 + 4 = 0
Subtract 4 from both sides:
x = -1 or x^2 = -4
Take the square root of both sides:
Answer: x = -1 or x = 2 i or x = -2 i
Assuming no snow was melting, how much snow would Elizabeth have on her lawn 4 hours after the snow began to fall?
We know she started with 8 inches
We also know that every hour an inch of snow falls.
Time 1inch by 4 hours =4inches
Add them together
8inch+4inch=12inch
Answer:
(−∞,4)
Step-by-step explanation:
Explanation:
To determine the interval that f(x) is increasing.
increasing when f'(x)>0f'(x)=−2(x−4)← using chain rule
solve −2(x−4)>0
⇒−2x+8>0
⇒x<4
interval is (−∞,4)
graph{-(x-4)^2-3 [-8.89, 8.89, -4.445, 4.44]}
To complete the square, you can add (and subtract) the square of half the x coefficient.
... y = x² -10x + 30
... y = (x² -10x +25) + (30 -25)
... y = (x -5)² +5
Answer: the number of hpurs that Fran can watch this week is lesser than 12
Step-by-step explanation:
Let x represent the number of hours of television that Fran can watch in a week.
Fran is limited to watching television less than 12.6 hours per week. She has already watched 4.2 hours, and each show is 0.7 of an hour long. The inequality representing the situation is expressed as
0.7x + 4.2 < 12.6
0.7x + 4.2 < 12.6 - 4.2
0.7x < 8.4
x < 8.4/0.7
x < 12