Answer:
1=x
Step-by-step explanation:
3x=90 2x=50
And the last one is 40
Answer:
14x-35
Step-by-step explanation:
Use distributive property so,
you multiply 2x and -5 by 7
2x*7=14x
-5*7=-35
Answer:
His overal final score is 81.2. His letter grade is a B.
Step-by-step explanation:
Weighed average:
The sum of all values multiplied by it's weight. The weight is a proportion(a value between 0 and 1).
So.
Score of 72 on the midterm, which counts 5%.
Score of 83 on the project score, which counts 25%.
Score of 91 on homework assignments, which counts 35%.
Score of 74 on the final exam, which counts 35%.
His grade is:
G = 72*0.05 + 83*0.25 + 91*0.35 + 74*0.35 = 82.1.
His overal final score is 81.2.
At least 80 but less than 90 is a B
So his letter grade is a B.
Answer:
f(x) = -(x-4)^2 + 5
Step-by-step explanation:
The function
is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.
Proving that
for all x:
![x^2 \ge 0 \Rightarrow (x-4)^2 \ge 0 \Rightarrow -(x-4)^2 \le 0 \Rightarrow -(x-4)^2 + 5 \le 5.](https://tex.z-dn.net/?f=x%5E2%20%5Cge%200%20%5CRightarrow%20%28x-4%29%5E2%20%5Cge%200%20%5CRightarrow%20-%28x-4%29%5E2%20%5Cle%200%20%5CRightarrow%20-%28x-4%29%5E2%20%2B%205%20%5Cle%205.)