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bixtya [17]
2 years ago
14

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.

Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically.

Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context.

Please, I really need help with this asap and can't find help anywhere
Mathematics
1 answer:
Alex17521 [72]2 years ago
3 0

Answer I dont know :

Step-by-step explanation:

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Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of t
Oksi-84 [34.3K]
Y - 12% of y + 3% of y = final cost

may be wrong, havnt done math in a good while
5 0
2 years ago
For what values of m does the graph of y = 3x^2 + 7x + m have two x-intercepts? a) m>12/49 b) m<12/49 c) m<49/12 d) m&g
den301095 [7]

The quadratic formula, has a part we call the "discriminant" defined by the variables that are inside the square root, and is denotated by "delta":

<span>Δ=<span>b2</span>−4ac</span> Whenever we solve a quadratic equation that is complete and we analyze the discriminant, we can get 3 scenarios: <span>if→Δ>0<span>=></span>∃<span>x1</span>,<span>x2</span>/a<span>x2</span>+bx+c=0</span> This just means: "if the discriminant is greater than zero, there will exist two x-intercepts" And for the second scenario: <span>if→Δ=0→∃<span>xo</span>/a<span>x2</span>+bx+c=0</span> This means: "if the discriminant is equal to zero, there will be one and only one x-intercept" And for the last scenario: <span>if→Δ<0→∃x∉R/a<span>x2</span>+bx+c=0</span> This means that :"if the discriminant is less than zero, there will be no x-intercepts" So, if we take your excercise and analyze the the discriminant: <span>3<span>x2</span>+7x+m=y</span> we will find the values that satisfy y=0 : <span>3<span>x2</span>+7x+m=0</span> And we'll analyze the discriminant: <span>Δ=<span>72</span>−4(3)(m)</span> And we are only interested in the values that make the discriminant equal zero: <span><span>72</span>−4(3)(m)=0</span> All you have to do is solve for "m".

6 0
2 years ago
A baseball has a 45 cm diameter. what is the volume of the contents of the ball
Dvinal [7]
The volume of a sphere is found from the equation V=4/3πr
r is the radius.
If the radius is 45 cm and pi is about 3.14, you can rewrite and equation as V=4/3(3.14)(45)
Then just solve by multiplying all the terms!
4/3(3.14) = 4.19
4.19(45) = 188.55
So the volume of the ball is 188.55 cm cubed.
3 0
2 years ago
Sloan the sloth crawls at $100$ meters per hour when crawling uphill, $120$ meters per hour when crawling across flat ground, an
cluponka [151]

Answer:

<h3>246.6 meters per hour</h3>

Step-by-step explanation:

Step one:

Speed uphill 100meters per hour

Speed on flat ground 120 meters per hour

Speed uphill  150 meters per hour.

Required

The average speed.

Step two:

To get the average speed, let us add all the individual speeds and divide by 3(three different speeds), then multiply the result by 2(the return trip)

Average speed= (100+120+150)*2/3

Average speed= 740/3

Average speed=  246.6 meters per hour

8 0
1 year ago
Kelly and Greta are asked to write an equation for the scenario below. “One person was able to plant 4 trees in the same amount
Oduvanchick [21]

<u>Answer:</u> Greta is correct.

<u>Explanation:</u>

Greta is correct sine you can substitute different number of people for each of the values of and y and check that each person will still plant 4 trees.

For example:

4x = 4(1) = 4 trees; and

4 x 5 = 20

but you should follow a certain pattern to increase the value of x, such that every foe every value of x, one person is able to plant 4 trees.

8 0
2 years ago
Read 2 more answers
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