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G ( x ) = 2 - ( x - 7 )²
g ( x ) = 2 - ( x² - 14 x + 49 )
g ( x ) = 2 - x² + 14 x - 49
g ( x ) = - x² + 14 x - 47
The maximum of the function is at:
x= - b / 2 a
x = - 14 / ( - 2 ) = 7
Therefore the function is increasing form x ∈ ( - ∞, 7 ) and decreasing for x ∈ ( 7, +∞ ).
Answer:
C. increasing, x < 7; decreasing x > 7.
Answer:
Its C, 288 square inches
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let's calculate the answer to the second parenthesis. Just multiply throughout to get -8xyz. Then, multiply the first parenthesis by the second. Multiply the constants (-8 and 2) first to get -16, multiply the x's together to get x^2, the y's together to get y^2, and the z's together to get z^2. Put it all together to get
.
Answer:
D
Step-by-step explanation:
(-2 1/2, -3) = (-5/2 , -3) & (1, -3)
![Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(1-[\frac{-5}{2}])^{2}+(-3-[-3])^{2}}\\\\ =\sqrt{(1+\frac{5}{2})^{2}+(-3+3)^{2}}\\\\ =\sqrt{(\frac{7}{2})^{2}} \\\\=\frac{7}{2}\\\\=3\frac{1}{2}](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%281-%5B%5Cfrac%7B-5%7D%7B2%7D%5D%29%5E%7B2%7D%2B%28-3-%5B-3%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%281%2B%5Cfrac%7B5%7D%7B2%7D%29%5E%7B2%7D%2B%28-3%2B3%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%28%5Cfrac%7B7%7D%7B2%7D%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%3D%5Cfrac%7B7%7D%7B2%7D%5C%5C%5C%5C%3D3%5Cfrac%7B1%7D%7B2%7D)