Answer:
The Miami Dolphins had 3 touchdowns and 3 field goals.
Step-by-step explanation:
It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.
We need to write and solve the system of equations to find the total touchdowns and field goals scored.
Let x represents the number of touchdowns.
Let y be the number of field goals.
It is given that the Miami Dolphins scored 6 times
....(1)
They scored 7 points for each touchdown and 3 points for each field goal.
The total score is 30 points:
...(2)
Put the value of x from equation (1) into equation (2).
Put y = 3 in equation 1.
Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.
Answer:
the answer is true
Step-by-step explanation:
the x values don't repeat themselves so therefore it is a function
Answer: 1) c 2) a 3) d
<u>Step-by-step explanation:</u>
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Reference angle is the angle measurement from the x-axis. <em>There is no such thing as a negative reference angle.</em>
-183° is 3° from the x-axis so the reference angle is 
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Coterminal means the same angle location after one or more<em> </em>rotations either clockwise or counter-clockwise.
To find these angles, add <em>or subtract</em> 360° from the given angle to find one rotation, add <em>or subtract</em> 2(360°) from the given angle to find two rotations, etc.
To find ALL of the coterminals, add <em>or subtract</em> 360° as many times as the number of rotations. Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.
Given: 203°
Coterminal angles: 203° ± k360°, k ∈ <em>I</em>
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Answer:
f(x) has moved:
4 units in the positive y direction i.e upwards
3 units in the positive x direction
Step-by-step explanation:
to get g(x), f(x) has undergone the following transformations
f(x) = x³
f1(x) = x³ + 4 (translation of 4 units in the positive y direction i.e upwards)
f2(x) = g(x) = (x-3)³ + 4 (translation of 3 units in the positive x direction i.e towards the right)
Answer:
A. (2, 4)
Step-by-step explanation:
The ordered pairs represent (x, y). Since you have y =2x, this is the same as ...
(x, 2x)
That is, the second number in the pair needs to be twice the first number in the pair. Since you know your times tables, you know that this is not the case for (1, 0), (10, 5) or (4, 12). Those values of x would give (1, 2), (10, 20), (4, 8).
It is the case that you have (x, 2x) for (2, 4).
The point (2, 4) lies on the graph of y = 2x.
