Y = 2x² - 3
y = 3x - 1
2x² - 3 = 3x - 1
+ 1 + 1
2x² - 2 = 3x
2x² - 3x - 2 = 0
2x² - 4x + x - 2 = 0
2x(x) - 2x(2) + 1(x) - 1(2) = 0
2x(x - 2) + 1(x - 2) = 0
(2x + 1)(x - 2) = 0
2x + 1 = 0 or x - 2 = 0
- 1 - 1 + 2 + 2
2x = -1 or x = 2
2 2
x = -0.5
y = 3x - 1 or y = 3x - 1
y = 3(-0.5) - 1 or y = 3(2) - 1
y = -1.5 - 1 or y = 6 - 1
y = -2.5 or y = 5
(x, y) = (-0.5, -2.5) or (x, y) = (2, 5)
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3x² + x - 4 = 0
3x² - 6x + 2x - 4 = 0
3x(x) - 3x(2) + 2(x) - 2(2) = 0
3x(x - 2) + 2(x - 2) = 0
(3x + 2)(x - 2) = 0
3x + 2 = 0 or x - 2 = 0
- 2 - 2 + 2 + 2
3x = -2 or x = 2
3 3
x = ⁻²/₃
There are two real number solutions in the equation.
————————————————————————————————
y = x + 5
y = x² - x + 2
x + 5 = x² - x + 2
+ x + x
2x + 5 = x² + 2
- 2 - 2
2x + 3 = x²
0 = x² - 2x - 3
0 = x² - 3x + x - 3
0 = x(x) - x(3) + 1(x) - 1(3)
0 = x(x - 3) + 1(x - 3)
0 = (x + 1)(x - 3)
0 = x + 1 or 0 = x - 3
- 1 - 1 + 3 + 3
-1 = x or x = 3
y = x + 5 or y = x + 5
y = -1 + 5 or y = 3 + 5
y = 4 or y = 8
(x, y) = (-1, 4) or (x, y) = (3, 8)
Answer:
22
Step-by-step explanation:
f. 24-(5-9+18)÷7
24-(14)÷ 7
24 - 2 = 22
hope it helps.....
Formula for finding the area of a rectangle: A = L * W
We know one of the lengths is 5 feet.
So, A = 5x is the answer.
Given a radius 
, the volume of a sphere is given by
We can solve this formula for the radius, given the volume:
![r=\sqrt[3]{\dfrac{3V}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B4%5Cpi%7D%7D)
We can plug our value for the volume to get the radius:
![r=\sqrt[3]{\dfrac{3\cdot 12\pi}{4\pi}}=\sqrt[3]{9}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3%5Ccdot%2012%5Cpi%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%5B3%5D%7B9%7D)
Answer:
Step-by-step explanation:
This is an Annuity question. It is asking for recurring monthly payment(PMT). <em>You can use a financial calculator to solve it. I am using (Texas Instruments BA II plus)</em>
Since the payments occur monthly , adjust the interest rate to monthly rate and multiply 40 years by 12 since we have 12 months in a year<em>.</em>
Total duration of investment ; N = 40*12 = 480
Interest rate; I/Y = 5.75% /12 = 0.4792%
Future value; FV = 6,000,000
Present value ; PV = 0
then CPT PMT = 3,222.912
Therefore $3,222.91 should be deposited each month to achieve the goal.
