Answer:
x = 7, -7
Step-by-step explanation:
(2x-1)(3x+2)+x+292
3x - 2x +x = 2 - 1 + 292
(6)x - 294 = 6(x - 49)
Use communicative property of multiplication
Example: (A+B)(A-B)
49 is the square of 7
x square is the square of x to the power of 1
(x+7)(x-7)
Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.
If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.
If x = 6, this would fall under the second part of the function because 5 x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.
Since Joann receives $10 per hour for the first 35 hours, so she receives $350 (35 times $10) before she starts receiving extra hours.
Since she received $515, we know that she worked extra hours.
Let's use the variable x to represent the number of extra hours worked.
So we can write the following equation for the total payment received:
She worked 11 extra hours. Adding this to the 35 regular hours, so she worked for 46 hours.