Answer:
<u>The student's final score is 77.2 and he earned a C letter grade</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the math problem correctly:
Midterm = 5% of the final grade and score of 60
Class project = 10% of the final grade and score of 92
Set of homework = 35% of the final grade and score of 80
Final exam = 50% of the final grade and score of 74
2. What is the student's final score?
Final score = (60 * 0.05) + (92 * 0.1) + (80 * 0.35) + (74 * 0.5)
Final score = 3 + 9.2 + 28 + 37
Final score = 77.2 and letter grade of C
Answer:
(y-12)/4
Step-by-step explanation:
If g(x) is the inverse of f(x)
and f(x) = 4x + 12
f⁻¹(x) = g(x)
let f(x) be represented as y
f(x)
= y
y = 4x + 12
subtract 12 from both sides
y-12= 4x
divide both sides by 4
(y-12)/4 = x
so f ⁻¹ (y)= (y-12)/4 so g(x) = (x-12)/4
Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
Answer:
arc AC = 111°
Step-by-step explanation:
∠APC is a central angle, so arc AC is equal to the measure of ∠APC.
∠APC and ∠BPC are supplementary. So, m∠APC + m∠BPC = 180
m∠APC + 69 = 180
m∠APC = 111
arc AC = 111°
Answer:
x=2, y=4
Step-by-step explanation:
When using elimination, the objective is to elimate one variable. In this case, we see that "y" can easily be eliminated by adding the two equations together since you will get 3y + (-3y) which will eliminate y because the value would become 0, letting us solve for x.
Then we get
, because the y's will eliminated, and 8x+7x is 15x, and 28+2 is 30.
Then divide by 15 on both sides and you get x=2
If x=2, then we can substitute that value into any of the previous given equations and find the value of y.
8×2 +3y = 28
16+3y=28
3y=12
y=4
So the answer to your system of equations would be x=2, and y=4
You can substitute the answers we found to see that they satisfy the equation.
Hope this helped.
