I believe the answer is 6x-7y=-11
Answer: See explanation
Step-by-step explanation:
From the information, we are told that Mrs. Elizondo runs around a 400-meter track. If she runs 4 laps, the total meters will be:
= 400 × 4
= 1600 meters
Since she uses a constant speed of 250 meter per minute. The number if minutes taken to complete the 4 laps will be gotten by dividing 1600 by 250. This will be:
= 1600 / 250
= 6.4 minutes
= 6 minutes + (0.4 × 60 seconds).
= 6 minutes 24 seconds
Answer:
Step-by-step explanation:
n - 4 < 5
n < 9
Answer:
4x + 18
Step-by-step explanation:
This is called a composite function, meaning passing the range of one function as a domain of another function.
For f(f(x)), the inner-function's range is passed as the domain of the outer function.
We can do so by substitution,
The range of f(x) can be written as 2x + 6 for any defined x values,
So we will substitute 2x + 6 as the 'x' of another function which is in this case
f(x) again, so it looks like this 2(2x+6) + 6 which can be simplified into
4x + 18
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
y = 3x - 1 → (1)
2x + 4y = 24 → (2)
Substitute y = 3x - 1 into (2)
2x + 4(3x - 1) = 24 ← distribute and simplify left side
2x + 12x - 4 = 24
14x - 4 = 24 ( add 4 to both sides )
14x = 28 ( divide both sides by 14 )
x = 2
Substitute x = 2 into (1) for corresponding value of y
y = 3(2) - 1 = 6 - 1 = 5
solution is (2, 5 )
