<em>764 in. </em>
<u>Here's why: </u>
There are 12 inches in a foot.
12*63=756
<em>Don't forget to add the extra 8 inches!</em>
756+8=764
Answer:
x=-7
x=7
Step-by-step explanation:
we have
![2x^{2}-98=0](https://tex.z-dn.net/?f=2x%5E%7B2%7D-98%3D0)
Solve for x
Adds 98 both sides
![2x^{2}-98+98=0+98](https://tex.z-dn.net/?f=2x%5E%7B2%7D-98%2B98%3D0%2B98)
![2x^{2}=98](https://tex.z-dn.net/?f=2x%5E%7B2%7D%3D98)
Divide by 2 both sides
![2x^{2}/2=98/2](https://tex.z-dn.net/?f=2x%5E%7B2%7D%2F2%3D98%2F2)
![x^{2}=49](https://tex.z-dn.net/?f=x%5E%7B2%7D%3D49)
take square root both sides
![x=\pm7](https://tex.z-dn.net/?f=x%3D%5Cpm7)
therefore
The solutions are
x=-7
x=7
Step-by-step explanation:
x² = 25/784
Since 25 = 5² and 784 = 28²,
x = ±(5²/28²) = ±5/28.
Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by
![f(x)=\left\{\begin{aligned}-x^{2}, & x](https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%5C%7B%5Cbegin%7Baligned%7D-x%5E%7B2%7D%2C%20%26%20x%3C-2%20%5C%5C3%2C%20%26-2%20%5Cleq%20x%3C0%20%5C%5Cx%2B2%2C%20%26%20x%20%5Cgeq%200%5Cend%7Baligned%7D%5Cright.)
We need to find the value of ![f(3)](https://tex.z-dn.net/?f=f%283%29)
The value of the function f can be determined when
by identifying in which interval does the value of
lie in the piecewise function.
Thus,
lies in the interval
, the function f is given by
![f(x)=x+2](https://tex.z-dn.net/?f=f%28x%29%3Dx%2B2)
Substituting
in the function
, we get,
![f(3)=3+2](https://tex.z-dn.net/?f=f%283%29%3D3%2B2)
![f(3)=5](https://tex.z-dn.net/?f=f%283%29%3D5)
Thus, the value of
is 5.
Therefore, Option B is the correct answer.
X + 3x + 4x = 56
8x = 56
x = 7
The shortest piece is 7 inches
The middle piece is 7*3 = 21 inches.
The longest piece is 4*7 = 28 inches
Check
7 + 21 + 28 = 56 It does check and the lengths are correct.