Answer: the standard hourly pay is $3.05
Step-by-step explanation:
Let x represent the standard hourly pay that he gets for the first 40 hours.
Therefore, the total amount that he gets for the first 40 hours of work in a given week is 40x.
At Dairy Queen, he earned double time for any hours worked over 40 in a given week. This means that the hourly rate is 2x
If during one week, he worked 51 hours, it means that the overtime is 51 - 40 = 11 hours
Total amount earned for overtime is
11 × 2x = 22x
If the total amount that he earned for the week is $189.10, then
40x + 22x = 189.1
62x = 189.1
x = 189.1/62 = 3.05
Answer:
<u><em>(x+5) is not a factor of f(x)</em></u>
Step-by-step explanation:
Step 1 : we solve the equation x +5 = 0
x + 5 = 0 then x = -5
Step 2: we plug in -5 into f(x)
If we get zero then x+5 is a factor of f(x)
If we get a number other than zero then x+5 is not a factor of f(x)
Calculation:
f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233
Since we got -233 and not 0
Therefore ,(x+5) is not a factor of f(x)
If x-7 =0
Then x =7
Substitute x=7 into f(x):
2(7)^2 - 11(7) + k
= (98-77)+k
= 21+k
Therefore k=-21 because 21+(-21)=0
4x + 8 = -12 is the equation for this statement
