Answer:
(d) f(x) = (x − 3)^2(x − 2)(x − 1)
Step-by-step explanation:
In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.
A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...
f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice
Answer:
$8.35 per hour
Step-by-step explanation:
Take the dollars and divide by the hours to determine the dollars per hour
25.05/3
$8.35 per hour
Answer:
Step-by-step explanation:
let the amount spent on popcorn be x and amount spent on drinks be y
If the total bill paid is $17.94, then x+y = $17.94
If she spend twice as much on popcorn as on drinks, then y = 2x
Substitute y = 2x into the original equation
x+y = $17.94
x + 2x = $17.94
3x = $17.94
x = $17.94/3
x = $5.98
Since y = 2x
y = 2($5.98)
y = $11.96
Therefore she spent $5.98 on popcorn and $11.96 on drinks
Answer:
$65.52
Step-by-step explanation:
y = mx + b
y = amount spent on fuel = ?
m = price per gallon = $3.90
x = gallons = 16.8
b is not needed for this problem
y = (3.90)(16.8)
y = $65.52
Answer:
-2-2√3, -2+2√3
Step-by-step explanation:
Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:
x(-4-x) = -8
-4x -x^2 = -8 . . . . . eliminate parentheses
x^2 +4x = 8 . . . . . . multiply by -1
x^2 +4x +4 = 12 . . . add 4 to complete the square
(x +2)^2 = 12
x +2 = ±√12 = ±2√3
x = -2±2√3
The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.
