Answer:
You will break even on the car wash when you buy 13.5 gallons. As long as you buy that or more, it is cheaper to get the car wash.
Step-by-step explanation:
In order to find this, we need to create equations for both situations. If we let x equal the amount of gallons purchased, we can model the first equation as:
f(x) = 3.35x
And the second equation as:
f(x) = 3.05x + 4.05
Then to find when they equal each other, we can set the two equations equal to each other and solve for x.
3.35x = 3.05x + 4.05
0.30x = 4.05
x = 13.5
This means once you buy 13.5 gallons, the prices will be the same. Any amount over that and the car wash will be cheaper
The solution to the system of inequalities is (-3.375, 1.75)
<h3>How to graph the inequalities?</h3>
The system of inequalities is given as:
3y > 2x+12
2x+y < -5
Next, we plot the graph of the system using a graphing tool
From the graph, both inequalities intersect at
(-3.375, 1.75)
Hence, the solution to the system of inequalities is (-3.375, 1.75)
Read more about system of inequalities at:
brainly.com/question/19526736
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Answer:
40 points
Step-by-step explanation:
The score for the first four rounds of the game is 13, 17, 19, and 21 points.
Let
and
be the scores of the fifth and sixth games respectively in order to achieve an average score of 20 points per round for all six rounds.




Hence, the combined score of the fifth and sixth rounds are 40 points.
Answer:
Its been a few years since I've done proofs, but I think these answers are right
2. Line AX is congruent to Line BX
3. Definition of perpendicular
4. Angle PXA is congruent to Angle PXB
6. Triangle AXP is congruent to Triangle BXP
7. Line PA is congruent to Line PB