80% of quizzes + 20% of final = final grade
80% * 73 + 20% * x = 70
0.8 * 73 + 0.2x = 70
58.4 + 0.2x = 70
0.2x = 11.6
x = 58
10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰
10101₂ = 16 + 0 + 4 + 0 + 1
10101₂ = 21
Answer:
Elimination
Step-by-step explanation:
A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Elimination is the best method when we have standard form equations and x values with opposite coefficients. This is so because the x variable will eliminate easily and allow us to solve for y.
Answer:
See below.
Step-by-step explanation:
So we have the two functions:
And we want to find:
1)
Recall that:
is the same as:
Thus, we can substitute g(x):
And substitute that into f(x):
Distribute:
Subtract and simplify:
Thus:
2)
Similarly:
Substitute f(x):
Substitute:
Distribute:
Simplify:
Therefore:
Answer:
no solution
Step-by-step explanation:
the roots are x values where the graph interacts the x axis. to find the roots replace y with 0 and solve for x
