Answer:
The inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:
0.75r+0.50g≤20, where:
r is the number of rides
g is the number of games
Step-by-step explanation:
With the information provided, you can say that the amount spent at the carnival is equal to the cost per ride for the number of rides plus the cost per game for the number of games. Also, given that the statement indicates that Tyler has at most $20, the inequality would indicate that the amount spent has to be less than or equal to 20. According to this, the inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:
0.75r+0.50g≤20, where:
r is the number of rides
g is the number of games
Answer:
2 1/4
Step-by-step explanation:
-11/2+7 3/4
-11/2 + 31/4
= 9/4
= 2 1/4
Answer:
The most precise name for a quadrilateral ABCD is a parallelogram
Step-by-step explanation:
we have
A(2,3) B(7,2) C(6,-1) D(1,0)
Plot the quadrilateral'
using a graphing tool
The quadrilateral ABCD in the attached figure
Verify the length of the sides
the formula to calculate the distance between two points is equal to

step 1
Find distance AB
A(2,3) B(7,2)
substitute



step 2
Find distance BC
B(7,2) C(6,-1)
substitute



step 3
Find distance CD
C(6,-1) D(1,0)
substitute



step 4
Find distance AD
A(2,3) D(1,0)
substitute



step 5
Compare the length sides
AB=CD
BC=AD
Opposite sides are congruent
<em>Verify the slope of the sides</em>
The formula to calculate the slope between two points is equal to

step 1
Find slope AB
A(2,3) B(7,2)
substitute



step 2
Find slope BC
B(7,2) C(6,-1)
substitute



step 3
Find slope CD
C(6,-1) D(1,0)
substitute



step 4
Find slope AD
A(2,3) D(1,0)
substitute



step 5
Compare the slopes


The slope of the opposite sides are equal, that means, opposite sides are parallel
The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular
therefore
The most precise name for a quadrilateral ABCD is a parallelogram
For this case we have that by definition:
- <em>The terms of a polynomial expression are those that are composed of coefficients and variables separated by signs of addition and subtraction.
</em>
We then have the following expression:

According to the definition, we can conclude that the first term is given by:

Answer:
The first term of the expression is:
