There are two expressions which do not match with the written descriptions to ist right.
Those are:
1) (4x - 3)^2 - 1: see that the written description does not square the difference of 4x and 3
2) 3(5x^2 + 14x + 7): see that the written description tells that 5 is added to the square ox x, which is not what the expression shows.
The other 4 expressions match with the written descriptions.
So, you can choose those other 4 expressions.
The answer is : a^2=1 x 2^n-1
To check if it’s correct
a^2= 1 x 2^2-1
a^2 = 1x 2
a^2 = 2
Hope this helps!
Answer:
Kate's possible hourly rate of pay: $34.75
Hours of overtime: 100
Step-by-step explanation:
In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year. If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are: 36 x 52 = 1872. Setting up an equation based on her total earnings of $72,000:
1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.
Combine like terms: 1872x + 200x = 72000 or 2072x = 72000
Divide both sides by 2072: 2072x/2072 = 72000/2072
Solve for x: x = $34.75
Kate's hourly rate is estimated at $34.75. We can check to see if this is correct by putting this value back into our original equation:
1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002
The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.
Answer:
$40
Step-by-step explanation:
$8 x 5 = $40