Standard Form : f (x) = a(x - h)2 + k
Where in this equation (H,K) is the vortex of the parabola
<u>and there are four other ways to solving these quadratic</u>
1. Factoring
2. Completing the square
3. Your quadratic formula ( f (x) = a(x - h)2 + k )
4. Graphing
2nd one: 2 rectangles can have thr same area but have different perimeters.
Answer:
f^-1(x) = ( x + 6 )/4
Step-by-step explanation:
f(x) is the same as...y = 4x + 6....and then try to make x the subject of formula
y + 6 = 4x
x = (y + 6)/4....then when writing f^-1(x)...replace y with x
f^-1(x) = ( x + 6 )/4
The equation used for this problem is
F = P(1+i)ⁿ
where
F is the future worth
P is the present worth
i is the effective interest rate
n is the number of years
Substituting the values,
F = <span>$8,000(1 + 0.03)</span>⁴
F = $9,004.07
Thus, after 4 years, Aaron will have $9,004.07.
Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
From the picture attached,
Area of the shaded region = Area of the sector OMN - Area of the triangle OMN
Area of sector OMN =
Here, θ = Central angle of the sector
r = radius of the sector
Area of sector OMN =
= 15.708 square cm
Area of ΔOMN = 2(ΔOPN)
Area of ΔOPN =
Area of ΔOMN = OP × PN
In ΔOPN,
sin(25°) =
PN = ONsin(25°)
= 6sin(25°)
= 2.536 cm²
cos(25°) =
OP = ONcos(25°)
OP = 6cos(25°)
OP = 5.438 cm
Area of ΔOMN = 2.536 × 5.438
= 13.791 cm²
Area of the shaded region = 15.708 - 13.791 = 1.917 cm²
≈ 1.92 cm²