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Inessa05 [86]
3 years ago
10

In the equation above,a,b, and c are constants. If the equation is true for all values of x, what is the value of b?

Mathematics
2 answers:
DIA [1.3K]3 years ago
6 0
Hope this answer helps.

oksano4ka [1.4K]3 years ago
4 0

Answer:

b=19

Step-by-step explanation:

We are given that an equation

2x(3x+5)+3(3x+5)=ax^2+bx+c

Given that the equation is true for all x

We have to find the value of b

2x(3x+5)+3(3x+5)=ax^2+bx+c

6x^2+10x+9x+15=ax^2+bx+c

6x^2+19x+15=ax^2+bx+c

Comparing coefficients of x^2 xand constant value  on both side then we get

a=6,b=19,c=15

Hence, the value of b=19

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Step-by-step explanation:

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the bus bound for northtown departs every 15 minutes and the bus for eastown departs every 18 minutes from the central station.
USPshnik [31]

Considering the least common factor of 15 and 18, it is found that they will depart from the central station at the same time at 11 AM.

<h3>How to find the time it takes for periodic events to repeat at the same time?</h3>

To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.

In this problem, the periods are of 15 and 18, hence their lcm is found as follows:

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More can be learned about the least common factor at brainly.com/question/16314496

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