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svlad2 [7]
2 years ago
15

Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry foo

d costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario: x + 3y ≤ 8 x + y ≥ 2 Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context.
Mathematics
1 answer:
Ghella [55]2 years ago
3 0

Answer:

PART A: Inequality (a)

Solve for y

The graph of y ≥ ⅓(8-x) is represented by the upper red line and all points in the shaded area below it. The line is solid because points on the line satisfy the conditions.

 Inequality (b)

Solve for y

The graph of y ≥ 2 - x is represented by the lower blue line and all points in the shaded area above it. The line is solid because points on the line satisfy the conditions. The solution lies in the purple area. It consists of all combinations of x and y that make y ≥ ⅓(8 - x) and y ≥ 2 - x. A practical but not a mathematical condition is that all values of x and y must be zero or positive numbers (for example, you can't have -2 servings of food), so I have plotted only the numbers in the first quadrant.

PART B: If a point is a solution of the system, then the point must satisfy both inequalities of the system.

For x=8, y=2. Verify inequality A  is not true. So the point does not satisfy inequality A. Therefore, the point is not included in the solution area for the system.

PART C: I choose the point (3,1) which is included in the solution area for the system.

That means Michelle buys 3 serves of dry food and 1 serving of wet food.

Step-by-step explanation:

Plz mark Brainliest?

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sweet [91]

Answer:

7.6 inches

Step-by-step explanation:

We solve the above question using the Law of Cosines.

The formula is given as:

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From the above question:

i = 6.6 inches

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Angle H=62º.

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8 0
2 years ago
Help with this one please
Marysya12 [62]
The correct answer is the first option, which is:

 A=G^2/H; H=G^2/A

 
The explanation is shown below:

 1. To solve the exercise shown in the figure attached, you must apply the proccedure shown below:

 2. You have the following equation to calculate G:

 G=√AH

 3. Now, to find the formula to calculate A, you must clear the A, as below:

 G^2=(√AH)^2
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 4. Then, you must apply the same proccedure to find the formula for calculate H, as following:

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5 0
2 years ago
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Math grades assignment unit test part 2 adding and subtracting rational numbers?
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Answer: When we add or subtract rational numbers that have the same denominator, we add or subtract only the numerators. The denominators stay the same. When we add or subtract rational numbers with unlike denominators, we need to change the rational numbers to equivalent rational numbers that have the same denominators, before we find the sum or difference. Adding & Subtraction Rational Numbers

Step-by-step explanation:

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2 years ago
Reese read twice as many pages Saturday than she read Sunday. If she read a total of 78 pages over the weekend, how many pages d
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Given:

Reese read twice as many pages Saturday than she read Sunday.

She read a total of 78 pages over the weekend.

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Reese read twice as many pages Saturday than she read Sunday. So, the number of pager she read on Saturday is 2x.

Total number of page she read over the weekend is:

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3x=78

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