A) Every T is worth 7 points, and every F is worth 3 points. So if we let T = 7 and F = 3, we can count how many T's and F's each team scored and write it as an expression.
So for the East Side Bulldogs, they have 7 touchdowns and 6 field goals, thus the expression for them is:
7T + 6F
For the West Side Bulldogs, they have 5 touchdowns and 5 field goals, thus the expression for them is:
5T + 5F
B) The difference would be written as:
7T + 6F - (5T + 5F) = 2T + F
C) To determine how many more points the winning team has than the losing team, calculate the scores of the two teams. Then subtract the smaller number from the larger number to determine the score differential.
Answer:
(least) 2,4,5,6,6,6,8,8 (greatest)
Step-by-step explanation:
For the answer to the question above, since the triangle is isosceles, the two legs have equal length. The coordinates of two vertices are given
P(3,3)
Q(3,1)
Assuming that PQ and QR are the legs of equal length, the distance between Q and R must be the same as the distance between P and Q
d = √[(3-3)² + (3-1)²
d = 2
Therefore, the coordinates of P is
(5,1)
Answer:
To complete the required $m dollars for her college, she needs $(m - 60,000).
Step-by-step explanation:
Suppose Rebecca needs $m to complete her college education,
because she has a yearly scholarship of $10,000, she would have $10,000 × 4 = $40,000 for the four years she would spend in college.
Together with her savings of $20,000, she has $20,000 + $40,000 = $60,000 in total.
Therefore to complete the required $m dollars for her college, she needs $(m - 60,000).
Answer:
y = x² − 6x − 27
Step-by-step explanation:
To distribute, you can use something called FOIL. It stands for First, Outer, Inner, Last.
First, multiply the First term in each factor.
x · x = x²
Now multiply the Outer terms in each factor.
x · 3 = 3x
Next multiply the Inner terms in each factor.
-9 · x = -9x
Finally, multiply the Last terms in each factor.
-9 · 3 = -27
Add them all up:
x² + 3x − 9x − 27
x² − 6x − 27
