Select ALL the correct answers. Which of the following functions are odd? PLEASE HELP!!!! ASAP
2 answers:
You might be interested in
Answer:
1) The equation of the line of best fit is y = 0.3·x + 5
2) The time it would take a player that can complete 22 leg press repetitions to run 40 yards is 11.6 seconds
Step-by-step explanation:
1) The given data are;
Leg press (Reps): 40-yard Dash Time
12 8.6
32 14.6
7 7.1
11 8.3
23 11.9
28 13.4
15 9.5
From the attached graph we observe that with the data sorted in increasing order, there is a linear relation between the number of leg presses and the time to complete a 40 yard dash
The slope = (14.6 - 7.1)/(32 - 7) = 0.3
The equation of the line of best fit is the linear equation of the data given in point and slope form as follows;
y - 7.1 = 0.3×(x - 7)
y - 7.1 = 0.3·x - 2.1
The equation of the line of best fit is therefore;
y = 0.3·x + 5
Where;
y = The time to complete the 40-yard dash
x = The number of leg press completed
2) When x = 22, we have;
y = 0.3 × 22 + 5 = 11.6 seconds
If a player can do 22 leg-press repetitions, it would take the player 11.6 seconds to complete the 40 yard-dash.
Answer:
a. The equation for the line representing Tim's account is y = 10·x + 40
b. The equation for the line representing Chloe's account is y = 20·x + 10
c. The solution to the system of equations is x = 3, y = 70
Step-by-step explanation:
a. The y-intercept of the graph for Tim's account = (0, 40)
A second point on the line graph of Tim's account = (3, 70)
The slope, m of a straight line equation, given two points on the line, (x₁, y₁), (x₂, y₂) is given as follows;
Therefore, the slope, m = (70 - 40)/(3 - 0) = 10
The equation for the line representing Tim's account in slope and intercept form is y = 10·x + 40
b. The y-intercept of the graph for Chloe's account = (0, 10)
A second point on the line graph of Chloe's account is also = (3, 70)
Therefore, the slope of the equation representing Chloe's account, m is given as follows;
m = (70 - 10)/(3 - 0) = 20
The equation for the line representing Chloe's account in slope and intercept form is y = 20·x + 10
c. The solution is found at the point where the two lines meet (are equal) as follows;
For Tim's account y = 10·x + 40
For Chloe's account y = 20·x + 10
Equating both equations gives;
y = y and 10·x + 40 = 20·x + 10
From which we have;
40 - 10 = 20·x - 10·x = 10·x
30 = 10·x
x = 30/10 = 3
x = 3
Therefore, haven found the x-coordinate value, the y-coordinate of the point which is the solution (where the two equations are equal or the two line graphs cross) of the two equations is given as follows;
y = 10·x + 40 where, x = 3, we have;
y = 10 × 3 + 40 = 70
y = 70
The point of the solution of the system of equations is (3, 70)
The solution to the system of equations is x = 3, y = 70.