Answer:
a) 3^2
Step-by-step explanation:
When dividing exponents with the same base, division works like subtraction except in the exponent
7 - 5 = 2
Therefore the answer is 3^2
2.5(t - 2) - 6 = 9
2.5(t - 2) = 9 + 6 = 15
t - 2 = 15/2.5 = 150/25 = 6
t = 6 + 2 = 8
Answer: 8
Check: 2.5(8 - 2) - 6 = 2.5(6) - 6 = 1.5(6) = 9 good
Answer:
0.85x+10.8
Step-by-step explanation:
A,B,E,&F can all represent the tiles bc they all have a product of 24
To identify the grpah correspondig to the given function find the zeros of the function (use the quadratic formula):
![\begin{gathered} f(x)=\frac{1}{2}x^2+2x-6 \\ \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \\ a=\frac{1}{2} \\ \\ b=2 \\ c=-6 \\ \\ \\ x=\frac{-2\pm\sqrt[]{2^2-4(\frac{1}{2})(-6)}}{2(\frac{1}{2})} \\ \\ x=\frac{-2\pm\sqrt[]{4-(-12)}}{1} \\ \\ x=\frac{-2\pm\sqrt[]{16}}{1} \\ \\ x=\frac{-2\pm4}{1} \\ \\ x_1=-2+4=2 \\ x_2=-2-4=-6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B2x-6%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20%20%5C%5C%20a%3D%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20b%3D2%20%5C%5C%20c%3D-6%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-2%5Cpm%5Csqrt%5B%5D%7B2%5E2-4%28%5Cfrac%7B1%7D%7B2%7D%29%28-6%29%7D%7D%7B2%28%5Cfrac%7B1%7D%7B2%7D%29%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-2%5Cpm%5Csqrt%5B%5D%7B4-%28-12%29%7D%7D%7B1%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-2%5Cpm%5Csqrt%5B%5D%7B16%7D%7D%7B1%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-2%5Cpm4%7D%7B1%7D%20%5C%5C%20%20%5C%5C%20x_1%3D-2%2B4%3D2%20%5C%5C%20x_2%3D-2-4%3D-6%20%5Cend%7Bgathered%7D)
As the zeros are 2 and -6 the graph cross the x-axis in x=2 and x=-6
<h2>Answer: D</h2>