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stealth61 [152]
3 years ago
14

A candy shop sells a box of chocolates for $30. It has $29 worth of chocolates plus $1 for the box. The box includes two kinds o

f candy; caramels and truffles. Lita knows how much the different types of candies cost per pound and how many pounds are in the box. She said if x is the number of caramels included in the box and y is the number of pounds of truffles in the box then I can write the following equations based on what I know about one of these boxes:
X+y=3
8x+12y+1=30


How many pounds of candy are in the box?

What is the price per pound of the caramels?

What does the term 12y in the second equation represent?

What does 8x+12y+1 in the second equation represent?
Mathematics
1 answer:
ANEK [815]3 years ago
5 0
Dm for the answer can’t do it right now
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Sketch the region that is common to the graphs of x ≥ 2,
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a. Find the graph of their common region in the attachment

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<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

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  • The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
  • To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

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Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

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So, its area = 1/2 × height × base

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So, the area of the common region of the graphs is 8 units²

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6 0
1 year ago
F(v)=6+v^2 how do I solve
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Step-by-step explanation:

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