Answer:
D)
Step-by-step explanation:
f(x) = x^2 -14x -72
0=x^2 - 14x-72
0=x^2 - 18x+4x-72
0=x(x-18)+4(x-18)
0=(x-18)(x+4)
x-18=0 or x+4=0
x1=18 or x2=-4
asis of symmetry: x=(x1+x2)/2
x=(18+(-4))/2
x=14/2
x=7
Answer:
100 in²
Step-by-step explanation:
The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.
The rectangle has a height of 8 inches and width of 14 inches, so its area is:
A = (8 in) (14 in) = 112 in²
The triangle has a base of 8 inches and a height of 3 inches, so its area is:
A = ½ (8 in) (3 in) = 12 in²
So the area of the banner is 112 in² − 12 in² = 100 in².
Answer:
The amount for early withdrawal is $204
Step-by-step explanation:
Annual interest rate = 5% = 0.05
Investment = $24,000
Annual interest rate * Investment = Annual interest
0.05 * $24,000 = $1,200
Penalty = Two months of interest
(months/months in a year) * Annual interest
(2/12) * $1,200 = 0,17
0,17 * $1,200 = $204,00
Answer: 64
Step-by-step explanation:
y=8
plug in 8 for y
2(8)=64
All angles in a triangle add to 180
so
w+2w+69=180
3w+69=180
3w=111
w=37