Answer:
5≤u
Step-by-step explanation:
Put the words and numbers into an equation:
-5u+27≤2
Put all like terms on one side:
27-2≤5u ---> Do you see what I did there? Now you don't have to work with negatives. :)
Simplify:
25≤5u
Solve:
5≤u
:)
9514 1404 393
Answer:
f^-1(x) = (x +4)/3
Step-by-step explanation:
The inverse function is found by swapping x and y, then solving for y.
y = 3x -4 . . . . . function y = f(x)
x = 3y -4 . . . . . inverse relation
x +4 = 3y . . . . add 4
(x +4)/3 = y . . . divide by 3. This is the inverse function
f^-1(x) = (x +4)/3
Answer: there are 10 multiple choice questions and 15 short-answer questions
Step-by-step explanation:
Let x represent the number of multiple choice questions in the test.
Let y represent the number of short-answer questions in the test.
If the test has 25 questions, it means that
x + y = 25
Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. The test is worth a total of 80 points. It means that
2x + 4y = 80 - - - - - - - -1
Substituting x = 25 - y into equation 1, it becomes
2(25 - y) + 4y = 80
50 - 2y + 4y = 80
- 2y + 4y = 80 - 50
2y = 30
y = 30/2 = 15
x = 25 - y = 25 - 15 = 10
A. The number of multiple-choice questions plus the number of short-answer questions is 25.
Answer: −36x+34
Step-by-step explanation:
Equation: −2+6(−6x+6)
Step 1. distribute the equation:
−2+(6)(−6x)+(6)(6)
−2+−36x+36
Step 2. Finally combine like terms:
−2+−36x+36
(−36x)+(−2+36)
−36x+34
Final Answer:
−36x+34
Hope I could help! :)
Answer:
1/2
Step-by-step explanation:
When given two points, we can find the slope by
m = (y2-y1)/(x2-x1)
= (1-0)/(-3- -5)
= (1-0) / (-3+5)
= 1/2
