If (ax + 2)(bx + 7) = 15(x 
2) + cx + 14 for all values of x, and a + b = 8 then the two possible values for c is 31 and 41.
<h3>
What is meant by linear equation?</h3>
A linear equation is an algebraic equation with only a constant and a first-order (linear) term of the form y = mx + b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.
Let the equation be
(ax + 2)(bx + 7) = 15
+ cx + 14
(ax + 2)(bx + 7) = ab + 7ax + 2bx + 14 = ab + (7a + 2b) + 14
On comparing both equations
ab = 15 ------ (1)
7a + 2b = c -------(2)
Also, it is given that a + b = 8 --------(3)
From equations (1) and (3) it can be observe that either a or b equal to 3 or 5
From equation (2),
When a = 3 and b = 5, then c = 7(3) + 2(5) = 21 + 10 = 31
When a = 5 and b = 3, then c = 7(5) + 2(3) = 35 + 6 = 41
Therefore, the correct answer is option D) 31 and 41
To learn more about linear equation, refer to:
brainly.com/question/2030026
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Answer:144
Step-by-step explanation:
Answer:
Step-by-step explanation:
You can also use google wait I will answer let me first find out
The time it would take for the print to reach 100 percent completion is 12,101 minutes 9 seconds.
<h3>What is time it would take to reach 100%?</h3>
The mathematical operations that would be used to determine the required value are division and multiplication. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Multiplication is the process of determining the product of two or more numbers. The sign used to denote multiplication is ÷.
Other mathematical operations that are used to solve problems include addition and subtraction.
Time it would take to reach 100% completion = (minutes it takes to print 87% of the words x 100%) / 87%
Time it would take to reach 100% completion = (10,528 x 1) / 0.87 =
10.528 / 0.87
= 12,101. 15
= 12,101+ (0.15 x 60)
= 12,101 minutes 9 seconds
To learn more about division, please check: brainly.com/question/13281206
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