Answer:
Step-by-step explanation:
POINTS:
- Out of every 15 students, 6 were successful in the task.
- The professors' success rate is 140% of the students' success rate.
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Answer:
The y-intercept would be 7
The slope would be -1 or -1/1. They are both the same thing.
The slope is the number which is located directly to the left of the variable (the variable in this case is x, but in other situations it could be a totally different letter).
Let 
be the number of days spent at Tahoe and San Francisco, respectively.
We don't know the values of 
and 
yet, but we know that the holiday lasted 9 days:
We also know that each day spent in Tahoe costed 350 and each day spent in San Francisco costed 475. So, the total cost of the holiday is the sum of the number of days muliplied by their cost:
If we put the two equations together, we have the system
Which yields
You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).
Multiply by 12
... 4(x -1) +3(x +5) = 6
... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses
... 7x +11 = 6 . . . . . . . . . . . .collect terms
... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11
... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient
_ _ _ _ _ _ _
Here it is the other way.
... x(1/3 +1/4) +(-1/3 +5/4) = 1/2
... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms
... x + 11/7 = 6/7 . . . . . . . multiply by 12/7
... x = -5/7 . . . . . . . . . . . subtract 11/7
At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.
X cubed (³) + x
x³ + x Plug in 2 for x
2³ + 2 Cube 2 (2 x 2 x 2)
8 + 2 Add
10
