There's a bit of lack of context but I think the question is just asking what variables to put in for Lucy and Howard. There seems to be no need to answer any math problem.
I suggest using the variables x and y or l for Lucy and h for Howard. Remember to use lowercase letters.
The answer would be:
d. 0, $12.40, $24.79, $37.19, $49.58; The practical range of this function is 0≤f(g) ≤49.58
The number of gallons needed is the value of g variable, so you need to put the variable value into the equation. The calculation would be:
f(g)= 2.479g
f(0)= 2.479(0)=0
f(5)= 2.479(5)=12.395= 12.40
f(10)= 2.479(10)=24.79
f(15)= 2.479(15)=37.185= 37.19
f(20)= 2.479(20)=49.58
The range of the function would be more than(≥) 0 but less than(≤) 49.58. If you put it together, the sign would look like 0≤f(g)≤49.58
Answer:
Each child will get 1/4 of a pie
Step-by-step explanation:
Answer:
(c) 5y -17x +99 = 0
Step-by-step explanation:
The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.
<h3>Midpoint</h3>
The midpoint of XZ is the average of the coordinates of X and Z.
M = (X +Z)/2
M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)
<h3>Line through two points</h3>
The slope of the median can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
The slope of line YM is ...
m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line with slope 17/5 through point Y(7, 4) is ...
y -4 = 17/5(x -7)
Subtracting the right side, and multiplying by 5 gives ...
5(y -4) -17(x -7) = 0
5y -17x +99 = 0 . . . . equation of the median through Y