Answer: Option C (
±
)
Step-by-step explanation:
1. To solve this problem you must use the Quadratic formula, which is used to solve quadratic equation. This formula is shown below:
2. Substitute values. Then, you have:
3. Then,you obtain the following result:
±
The equation which represent the problem is 14.5 = 469.8k.
<h3>What is Equation?</h3>
An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.
Here, As given in question
The number of gallons of gas Connie’s car, g, uses is directly proportional with the number of miles she drives, m.
g α m
g = km ............(i)
g = 14.5 gallons of gas m = 469.8 miles
14.5 = k X 469.8
14.5 = 469.8k
Thus, the equation which represent the problem is 14.5 = 469.8k.
Learn more about Equation from:
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a)
Add the score and then square the sum.
By using the summation notation we can write the above statement is (Σx)²
b)
Square each score and then add the squared values.
By using the summation notation we can write the above statement is Σx²
Subtract 2 point from each score and then add the resulting values.
By using the summation notation we can write the above statement is Σ(x-2)
Subtract 1 point from each score and square the resulting values. Then add the squared values.
By using the summation notation we can write the above statement is Σ(x-1)²
First term a1 = 6+5 = 11
second term = 12+5 = 17
common difference = 6
Sum of n terms:-
Sn = (n/2) [ 2a1 + d(n - 1)]
Sum of 30 terms:-
S30 = (30/2)[ 2*11 + 6(30-1)]
= 15 * ( 22 + 174)
= 15 * 196
= 2940 Answer
