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:
In parametric form:
Step-by-step explanation:
We first find the mid point:
Then, a vector parallel to the z-axis is:
Then remember the equation of a line passing through point
and parallel to the vector
is:
So, in this problem we get:
After combining the two vectors:
In parametric form:
Answer:
x > 7
Step-by-step explanation:
you move over the 10 to the left and it becomes negative.
x > 17 - 10
so then you subtract the 17 - 10 and you would get 7.
x > 7
Answer:

Step-by-step explanation:

This is written in the standard form of a quadratic function:

where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:

where:
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

Using your original equation, identify the a, b, and c terms:

Insert the known values into the equation:

Simplify. Two negatives make a positive:

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

Simplify using PEMDAS:

The value of y is -6 (3,-6). Insert these values into the vertex form:

Insert the value of a and simplify:

:Done