The answwer
20% of <span>$1,580.00 is X= 1,580 x20/ 100 = $316
</span>
the amount of his paycheck was <span> $316</span>
Use the Pythagorean theorem. The Pythagorean Theorem uses the following formula:
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D)
Plug in the known values into the equation:
![a = 6, c = 10](https://tex.z-dn.net/?f=a%20%3D%206%2C%20c%20%3D%2010)
![6^{2} + b^{2} = 10^{2}](https://tex.z-dn.net/?f=6%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%2010%5E%7B2%7D)
![36 + b^{2} = 100](https://tex.z-dn.net/?f=36%20%2B%20b%5E%7B2%7D%20%3D%20100)
Subtract both sides by 36.
![b^{2} = 64](https://tex.z-dn.net/?f=b%5E%7B2%7D%20%3D%2064)
Square root both sides to get b by itself.
![\sqrt{64} = 8](https://tex.z-dn.net/?f=%20%5Csqrt%7B64%7D%20%3D%208)
![b = 8](https://tex.z-dn.net/?f=b%20%3D%208)
The value of x is 8.
Answer:
The zeros are 0, 4, 6.
The y-intercept is 0.
Step-by-step explanation:
f(x) = x^3 - 10x^2 + 24x
x^3 - 10x^2 + 24x = 0
x(x^2 - 10x + 24) = 0
x(x - 4)(x - 6) = 0
x = 0 or x - 4 = 0 or x - 6 = 0
x = 0 or x = 4 or x = 6
y-intercept:
Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.
You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).
Let x = 0.
f(0) = 0^3 - 10(0^2) + 24(0)
f(0) = 0
y-intercept: 0
Answer:
x = 66
Step-by-step explanation:
√(x - 2) + 3 = 11
Subtract 3 from both sides: √(x - 2) = 8
Square both sides: x - 2 = 64
Add 2 to both sides: x = 66