Answer:
Step-by-step explanation:
D=5^2-4*(-7)*2
D=25+56
D=81
two real rational solutions, since 81 is a perfect square
X + (x+2) = 154
combine like terms
2x + 2 = 154
subtract 2
2x = 154
divide by 2
x = 76
so the two numbers are 76 and 78
Add 9.6 to both sides the. divide both sides by 3.2
To make it in standard form make it equal to y
y = 5x + 4 Add 4 to both sides
Answer:
![F(2)= \frac{1}{32}](https://tex.z-dn.net/?f=F%282%29%3D%20%5Cfrac%7B1%7D%7B32%7D%20)
Step-by-step explanation:
The given function is
![F(t) = 2 \cdot \: \frac{1}{{2}^{3t} }](https://tex.z-dn.net/?f=F%28t%29%20%3D%202%20%5Ccdot%20%5C%3A%20%20%5Cfrac%7B1%7D%7B%7B2%7D%5E%7B3t%7D%20%7D%20)
To find F(2), we substitute t=2 into the function.
This means that wherever we see t, we put 2
![F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} }](https://tex.z-dn.net/?f=F%282%29%20%3D%202%20%5Ccdot%20%5C%3A%20%20%5Cfrac%7B1%7D%7B%7B2%7D%5E%7B3%20%5Ctimes%202%7D%20%7D%20)
We multiply the exponent in the denominator to get:
![F(2) = 2 \cdot \: \frac{1}{{2}^{6} }](https://tex.z-dn.net/?f=F%282%29%20%3D%202%20%5Ccdot%20%5C%3A%20%20%5Cfrac%7B1%7D%7B%7B2%7D%5E%7B6%7D%20%7D%20)
We evaluate to get:
![F(2) = 2 \cdot \: \frac{1}{64}](https://tex.z-dn.net/?f=F%282%29%20%3D%202%20%5Ccdot%20%5C%3A%20%20%5Cfrac%7B1%7D%7B64%7D%20)
We now cancel the common factors to get:
![F(2) = \frac{1}{32}](https://tex.z-dn.net/?f=F%282%29%20%3D%20%5Cfrac%7B1%7D%7B32%7D%20)