7.
1 answer:
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Answer:
b equals T minus a minus c minus d all over 3 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- Tisha and her academic team have had three local matches
# Assume that the points of the local matches are a , c , d
- They will attend a district match
- District match points count for three times the number of points
than local matches do
# Assume that the points of the district match is b
- T is the total points they will earned in the four matches
∵ The points in the local matches are a , c , d
∵ The point in district mach is 3b
∴ T = a + c + d + 3b
* <u><em>Lets find b in terms of a , c , d , T</em></u>
∵ T = a + c + d + 3b
- Subtract a from both sides
∴ T - a = c + d + 3b
- Subtract c from both sides
∴ T - a - c = d + 3b
- Subtract d from both sides
∴ T - a - c - d = 3b
- Divide both sides by 3
∴
∴ b equals T minus a minus c minus d all over 3
rearrange into the form y = mx + b
subtract 6x from both sides of the equation
7y = - 6x + 14
divide all terms by 7
y = - x + 2 → in slope- intercept form