Answer:
a ≈ 14 or 6
Step-by-step explanation:
264 = π × a × (20 - a)
a(20 - a) =
≈ 84 (rounded off to nearest whole number)
Opening the brackets we get;
a² - 20a + 84 = 0
Applying the quadratic formula we get:
a ≈ 14 or 6
Answer:
Step-by-step explanation:
Begin the solution by squaring both sides of the given equation. We get:
(3x - 4)^2 = 2x^2 - 2x + 2, or:
9x^2 - 24x + 16 = 2x ^2 - 2x + 2
Combining like terms results in:
7x^2 - 22x + 14 = 0
and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92
According to the quadratic formula, the solutions are
-b ± √discriminant -(-22) ± √92 22 ± √92
x = ------------------------------- = ----------------------- = ------------------------
2a 14 14
Answer:
Joey sold 6 cars
Step-by-step explanation:
Joey earns $350 per week + $200 per car he sells
The number of cars that he sold last week is unknown, so represent it with a variable, x.
Write an equation
$350 + $200x = $1,550
Subtract $350 from both sides of this equation
$200x = $1200
Divide both sides of the equation by 200
x = 6
Joey sold 6 cars
Hope this helps :)
Answer:
its b
Step-by-step explanation: