Answer:
One ticket equals $169
Step-by-step explanation:
The family buys 4 airline tickets online.
The travel insurance costs $19 per ticket.
The total cost is $752.
A.
An equation that models this problem could be
Basically, we know that the insurance costs $19 which represents an additional costs after the price per ticket, that's why we need to add them. Then, we know that the familiy bought 4 tickes, that's why we multiply by 4, and finally, the total cost must be equal to 752, according to the problem.
B.
To find the price of one ticket, we just need to solve the equation for
Therefore, one ticket costs $169.
- 8(7k-5) + 7(7k-7) = 1 - 5k - k - 7
- 56k + 40 + 49k - 49 = 1 - 6k - 7
13k = 3
k = 3/13
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First solve for g(1)
Plug in 1 for the equation g(x)
g(1) = -(1) + 4
g(1) = 3
Now plug 3 in for f(x)
f(3) = 3(3)^2 + 4(3) + 1
f(3) = 3(9) + 12 + 1
f(3) = 27 + 12 + 1
f(3) = 40
Solution: f(g(1)) = 40
Answer:
20
Step-by-step explanation:
( x − 2 ) 2 − 16 Set y equal to the new right side. y = ( x − 2 ) 2 − 16 Use the vertex form, y = a ( x − h ) 2 + k , to determine the values of a , h , and k . a = 1 h = 2 k = − 16 Find the vertex ( h , k ) . ( 2 , − 16 )
Step-by-step explanation:
the error:
it is stated that
subtract (5x)/(x+7) from both sides
multiply both sides by x + 7
7(x+7) = 49x
7x + 49 = 49x
subtract 7x from both sides to isolate x and its coefficient
49 = 42x
thus, this is only true when 49 = 42x. in order for these two equations to be equal, they must <em>always </em>be true, so this is wrong
the solution:
we want to express 7/x as (something) / (x+7). to do this, we can multiply 7/x by 1.
anything divided by itself = 1. thus, if we multiply both the numerator and the denominator by something that turns x into (x+7), we can do what we want to do.
(x+7)/x * x turns x into (x+7), so we multiply both the numerator and denominator by (x+7)/x to get
substitute this for 7/x in our original problem
