Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
C: 7
You do the multiplication and division first, then the addition and subtraction next. its a rule in math
Okay, so there are 4 weeks in a month. 30x4 is 120,and 3x4 is 12. Add the 2 together and you have 132$
Answer:
The skaters will collide at the points;
(2,28) and (4,24)
Step-by-step explanation:
The points they might collide will be the points when both y are equal;
-2x + 32 = -2x^2 + 18x
2x^2 -18x -2x + 32 = 0
2x^2 -20x + 32 = 0
2x^2 - 16x - 4x + 32 = 0
2x(x -8) -4( x -8) = 0
(2x -4)(x -8) = 0
2x = 4 or x = 8
x = 4/2 or x = 8
hence; x = 2 or 8
Now let’s get the y value
at x = 2, just substitute into any of the 2
y = -2x + 32
y = -2(2) + 32
y = -4 + 32 = 28
at x = 4
y = -2(4) + 32
y = -8 + 32
y = 24
The points that they will collide are;
(2,28) and (4,24)
This is a word problem signifying an algebraic expression.
Translating this to mathematics:
add 4 to both sides.
divide 16 to both sides.
this is:
