Answer:
x = 87/28
Step-by-step explanation:
The equation is 76*120/3.
76*120/3
9,120/3
3,040
The car will travel 3,040 yards in 120 seconds at that speed.
Answer:
C) It is the only solution to the system.
Step-by-step explanation:
3x + 3y = -30
2x + y = -17
3(-7) + 3(-3) = -30
-21 + -9 = -30
-30 = -30
True
2x + y = -17
2(-7) + (-3) = -17
-14 + -3 = -17
-17 = -17
True
Answer:
The coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
Step-by-step explanation:
Since the varsity soccer team has 20 players, and three of the players are trained to be goalies while the remaining 17 can play any position, and only 11 players can be on the field at once, and the coach wants to make sure there is exactly one goalie on the field, to determine how many ways can the coach choose a lineup of 11 players if exactly 1 player must be a goalie the following calculation has to be made:
3 x 17 ^ 10 = X
3 x 2,015,993,900,449 = X
6,047,981,701,347 = X
Therefore, the coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
Answer: See attached
Step-by-step explanation:
[1] Looking at the function, this will be a parabola.
[2] We know that the x-intercepts, where the line hits the x-axis, will be -1 and 2 because of the factored part given
-> (x + 1)(x - 2)
-> (x + 1) gives us -1 and (x - 2) gives us 2
[3] We will graph the given function.
-> See attached
-> <em>I kept the scale the same as the screenshot you gave (which is 5 to -5 for both the y-axis and the x-axis)</em>