A polynomial function g(x) with integer coefficients has a leading coefficient of 1 and a constant term of
1 answer:
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Given:
Jamie and Marshall's team tied Shawna and Wyatt's team for the top team score.
Marshall scores 12 less than Jamie. Shawna scored twice as much as Marshall. Wyatt scored 4 less than Shawna.
To find:
The individual score of each person.
Solution:
Let x be the score of Jamie.
Marshall scores 12 less than Jamie.
Marshall score = x-12
Shawna scored twice as much as Marshall.
Shawna score = 2(x-12)
Wyatt scored 4 less than Shawna.
Wyatt score = 2(x-12)-4
Now,
Score of Jamie and Marshall's team
Score of Shawna and Wyatt's team
Jamie and Marshall's team tied Shawna and Wyatt's team
Isolate x.
Divide both sides by -2.
So, Jamie score = 20
Marshall score = 20-12
= 8
Shawna score = 2(20-12)
= 2(8)
= 16
Wyatt score = 2(20-12)-4
= 2(8)-4
= 16-4
= 12
Therefore, the scores of Jamie, Marshall, Shawna and Wyatt are 20, 8, 16 and 12 respectively.
Given:
A number is q, multiply it by 2 and add 5.
You get the same answer as when you minus 2 from q.
To find:
The value of q.
Solution:
The algebraic representation of the statement "a number is q, multiply it by 2 and add 5" is
Multiply q by 2 = 2q
Multiply q by 2 and then add 5 : 2q + 5
So, the first result is 2q+5.
When you minus 2 from q = q-2
So, the second result is q-2.
According to the question, both results are equal. Equate both results to get the value of q.
Isolate variable terms.
Therefore, the value of q is -7.
To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:
"d" represents the distance and coordinates are expressed as follows: (x, y)
Let's go to the calculations.
The answer is 6.7 uc.