<h3>
Answer: B. g(x) = f(x)+4</h3>
Explanation:
The graph shows that f(x) has the y intercept at -5. This is where the red line crosses the vertical y axis. More specifically, the y intercept is located at the point (0,-5)
We're told that g(x) has a y intercept at -1. So we must move f(x) 4 units up to go from y = -5 to y = -1. This is because -5+4 = -1.
Do this for every point on f(x) and you'll end up with g(x) = f(x)+4. Recall that y = f(x). So saying f(x)+4 is the same as y+4 to indicate "shift up 4 units".
f(x) and g(x) have the same slope, but different y intercepts. So they are parallel lines that never cross.
Answer:
Step-by-step explanation:
Let x represent the larger number.
Let y represent the smaller number.
The sum of two numbers is thirty seven. This means that the smaller number would be 37 - x
The translation into a variable expression for the the difference between nine more than twice the larger number and the sum of the smaller number and three would be
2x + 9 - (37 - x + 3)
Opening the parenthesis and putting the constants together, it becomes
2x + 9 - 37 + x - 3
2x + x + 9 - 37 - 3
3x - 31
I feel like I've answered this already, but I could be wrong. Since it took 10 years for the price to increase by 11 cents, it would take around 7-8 years for it to raise by .8. (.52- .44)
Hope this helps!