Answer:
The function 
is shown by the graph below ⇒ 2nd answer
Step-by-step explanation:
<em>To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph</em>
From the figure:
The curve passes through points (-2 , 0) and (2 , 2)
∵ 
∵ x = -2
- Substitute x by -2
∴ 
∴ 
⇒ it is impossible no square root for (-) number
∴ is not the function shown by the graph
∵
∵ x = -2
- Substitute x by -2
∴ 
∴ 
∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2
∵ x = 2
- Substitute x by 2
∴ 
∴ 
∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2
∴ The function is shown by the graph below
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.
3x2x(-4)=-24
3x2-4=2
3+2-4=1
not entirely sure what the equation your asking is but i hope this helps
Answer:
independent: time (hours)
dependent: distance (miles)
Step-by-step explanation:
The independent variable would be time because it can be changed depending on his walking speed.
The dependent variable would be distance
25% = 0.25
40 / 0.25 = 160
40 is 25% of 160.
There are 160 children in the club.
