Answer:
<h2>x = 3/2</h2>
Step-by-step explanation:
Expand
Collect like terms and simplify
Divide both sides of the equation by 4
simplify
Considering the situation described, the classification of the elections is given as follows:
- David came in first place.
- Greg came in second place.
- Victor came in third place.
- Mac came in fourth place.
- Bill came in fifth place.
<h3>How to find the classification of the elections?</h3>
We take the situation that is described, and build the classification from it. The classification has the following format:
P1 - P2 - P3 - P4 - P5
With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.
From the text given in this problem, we have that:
- Victor finished in third place, and David beat him, hence P3 = Victor, David = P1 or P2.
- Greg didn't come in first nor in last, hence, considering that Victor is P3, Greg = P2 or P4.
- Mac didn't win, but he finished higher than Bill, hence, considering that Mac didn't win and that Victor is P3, Mac = P4, Bill = P5.
- From the bullet points above, we can conclude that David = P1, Greg = P2.
Hence the places of each candidate are given as follows:
- David came in first place.
- Greg came in second place.
- Victor came in third place.
- Mac came in fourth place.
- Bill came in fifth place.
A similar problem, in which a situation is interpreted, is given at brainly.com/question/5660603
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Answer:
a) 40 dollars
b) 480 dollars
Step-by-step explanation:
Given the average property tax on a three bedroom home in a certain community modelled by the equation T(x) =20x²+40x+600, the rate at which the property tax is increasing with respect to time in 2008 can be derived by solving for the function T'(x) at x=0
T'(x) = 2(20)x¹ + 40x° + 0
T'(x) = 40x+40
At x = 0,
T'(0) = 40(0)+40
T'(0) = 40
Hence the property tax was increasing at a rate of 40dollars with respect to the initial year (2008).
b) There are 4 years between 2008 and 2012. To know how much that the tax change between the years 2008 and 2012, we will find T(4) - T(0)
Given T(x) =20x²+40x+600
T(4) =20(4)²+40(4)+600
T(4) = 320+160+600
T(4) = 1080 dollars
Also T(0) =20(0)²+40(0)+600
T(0) = 0+0+600
T(0)= 600 dollars
T(4) - T(0) = 1080 - 600
T(4) - T(0) = 480 dollars
Hence, the tax has changed by $480 between 2008 and 2012
The value of x will be 3
From given diagram, triangle ABC and EDC meet at a common vertex C.
So, triangle ABC and EDC both are congruent to each other.
Applying the similarity property of congruence, ratio of the congruent triangles' corresponding sides will be equal.
Therefore,
Simplifying the expression,
We get
(18-x)/x = 25/5
(18-x)/x = 5
18-x = 5x
18-x-5x = 0
18 - 6x = 0
- 6x = -18
x = 3
Hence, the value of x is 3.
Learn more about congruent triangle here:
brainly.com/question/2938476
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