Answer:
x = 1
x = -9
Step-by-step explanation:
(2x2 + 16x) - 18 = 0
2x2 + 16x - 18 = 2 • (x2 + 8x - 9)
x2 + 8x - 9
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
2 • (x + 9) • (x - 1) = 0
2 = 0
x+9 = 0
x = -9
x-1 = 0
x = 1
x2 + 8x - 9 = 0
x2+8x = 9
(x+4) • (x+4) =
(x+4)2
x2+8x+16 = 25 and
x2+8x+16 = (x+4)2
(x+4)2 = 25
x = -4 + √ 25
x2 + 8x - 9 = 0
has two solutions:
x = -4 + √ 25
or
x = -4 - √ 25
- B ± √ B2-4AC
x = ————————
2A
A = 1
B = 8
C = -9
B2 - 4AC =
64 - (-36) =
100
-8 ± √ 100
x = —————
2
x = ( -8 ± 10) / 2
x =(-8+√100)/2=-4+5= 1.000
or:
x =(-8-√100)/2=-4-5= -9.000
Answer: x = 1
x = -9
3 times 0.85 + 2 times 1.89 equals 6.33
Divide 6.33 by 2 equals $3.165
5 minus 3.165 = $1.835
Which $1.835 is your change you receive
Answer:
49.41
Fine the lengths of the top, bottom, and left side first. the do bottom - top and you get 6. To get the length of the right side, do left side squared + 6 squared and you get the length of the right side squared. The answer is top + bottom + left side + square root of right side squared.
Answer:
Option B.
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Solution-
Capacity of the spherical tank = 800 gallons.
1 gallon = 0.1337 ft³,
Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³
Formula for the volume of sphere

Equating both the volumes
⇒
= 106.96
⇒
= 25.53
⇒ ![r = \sqrt[3]{25.53}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B25.53%7D)
⇒ r = 2.94
∴ Radius of the sphere is 2.94 ft