Answer:
x=0,-2
Step-by-step explanation:
Solve the solution by equaling them to each other and solve for x.
x^2+5x+6=3x+6
x^2+5x-3x+6-6=0
x^2+2x=0 (factor out one x)
x(x+2)=0
x has two solutions since there are two options of solving.
1. x=0/(x+2)
x=0
2. x+2=0/x
x+2=0
x=-2
100×(1+0.11÷2)^(2×5)
=170.81
100×e^(0.108×5)
=171.60
So she should choose the account which pays the interest continuously
Width of the rectangle is 16 ft and length of the rectangle is 20 ft
<u>Step-by-step explanation:</u>
Step 1:
Given area of the rectangle = 320 ft². Let the width of the rectangle be x, then the length = x + 4. Use the formula for area of a rectangle = (length × width)
320 = x(x + 4)
320 = x² + 4x
x² + 4x - 320 = 0
x = (-b ±√b² - 4ac)/2a = (-4 ±√16 - 4×1×-320)/2
= (-4±√1296)/2 = (-4 ± 36)/2
= 32/2, -40/2 = 16, -20 (neglecting the negative value)
∴ Width of the rectangle = 16 ft
∴ Length of the rectangle = 16 + 4 = 20ft
Answer:
A
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = 4x + 2 + x² - 6 = x² + 4x - 4 → A
Answer:
The surface area is 3317.52 inch^2
Step-by-step explanation:
The drum is in the shape of a cylinder, therefore..
Area of the drum
=2πrh+2πr^2
=2*π*12*32+2·π*12^2
= 3317.52 inch^2
