Answer:
- 20 taffy bags and 15 caramel candy bags
Step-by-step explanation:
<u>Given:</u>
- t = the number of taffy bags
- c = the number of caramel bags
- Number of taffy's are 5 more than caramel bags
- Taffy bags weigh 8 ounces and caramel bags weigh 16 ounces
- Total weight is 400 ounces
<u>Equations:</u>
- t = c + 5 (the difference in number of bags)
- 8t + 16c = 400 (the weight of the bags)
<u>Simplify the second equation by dividing all terms by 8:</u>
<u>Substitute t and solve for c:</u>
- c + 5 + 2c = 50
- 3c = 50 - 5
- 3c = 45
- c = 45/3
- c = 15
<u>Find the value of t:</u>
<u>Answer:</u>
- 20 taffy bags and 15 caramel candy bags
C.(f-g)(x) = 4x^3 +5x²-7x-1
Step-by-step explanation:
Given information :

Find :

Open bracket and Simplify

Yes 3 ears of corn cost $1
Answer: y = x/2 + 3
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
Looking at the graph,
y2 = 6
y1 = 4
x2 = 6
x1 = 2
Slope,m = (6 - 4)/(6 - 2) = 2/4 = 1/2
To determine the intercept, we would substitute x = 2, y = 4 and m= 1/2 into y = mx + c. It becomes
4 = 1/2 × 2 + c
4 = 1 + c
c = 4 - 1
c = 3
The equation becomes
y = x/2 + 3
Vertex = (1,4)
Axis of symmetry is x = 1, (1,0) or just 1
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