what is g(x) + f(x)
a = 3, b= - 4 and c = - 4
expand the left side using FOIL
(2x + 1)(ax + b) = 2ax² + 2bx + ax + b = 2ax² + x(2b + a) + b
compare the coefficients of expressions on left and right sides.
compare 2ax² + x(2b +a) + b with 6x² - 5x + c
coefficients of x² terms → 2a = 6 ⇒ a = 3
coefficients of x terms → 2b + a = - 5 → 2b + 3 = - 5 → 2b = - 8 ⇒ b = - 4
constant terms c = b = - 4
Jorja takes 1 minute 35 seconds more than Miguel to run one mile.
Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Given that,
Time taken by Jorja to run one mile = 9mins 13 secs
= 9 + 13/60 minutes
= 553/60 minutes
Time taken by Miguel to run one mile = 7 mins 38 secs
= 7 + 38/60 minutes
= 458/60 minutes
We have to subtract the time taken by Miguel from the time taken by Jorja to find the additional time etaken by Jorja.
Additional time taken by Jorja = 553/60 minutes - 458/60 minutes
= 95/60 minutes
= 1.583 minutes
= 1 minute 35 seconds.
Hence the additional time taken is 1 minute 35 seconds.
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