Which point represents a solution to the system of inequalities displayed in the following graph? x ≥ -3
y ≤ -x + 2
y > -4

(−3, 7)

(0, −2)

(4, 3)

(1, −4)
Which point represents a solution to the system of inequalities - 1

Answers

Answer 1
Answer:

Answer:

0, -2

Step-by-step explanation:

The system of inequalities given is:

x ≥ -3

y ≤ -x + 2

y > -4

To find which point represents a solution to this system, we need to check each option and see if it satisfies all three inequalities.

Let's start by checking the first option, (-3, 7):

For x ≥ -3: Since x = -3 in this case, it satisfies the first inequality.

For y ≤ -x + 2: Substituting x = -3 and y = 7, we get 7 ≤ -(-3) + 2, which simplifies to 7 ≤ 5. This inequality is not true, so (-3, 7) is not a solution.

Now let's check the second option, (0, -2):

For x ≥ -3: Since x = 0 in this case, it satisfies the first inequality.

For y ≤ -x + 2: Substituting x = 0 and y = -2, we get -2 ≤ -(0) + 2, which simplifies to -2 ≤ 2. This inequality is true, so (0, -2) satisfies the second inequality.

For y > -4: Substituting y = -2, we get -2 > -4. This inequality is also true, so (0, -2) satisfies all three inequalities.

Therefore, the point (0, -2) represents a solution to the given system of inequalities.


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Answers

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David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?Square with an inner frame with height of 2ft on the left frame and width of 3ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x.


2x2 + 14x − 2 = 0
3x2 + 10x − 8 = 0
4x2 + 10x − 2 = 0
x2 + 7x − 8 = 0

Answers

Represent the thickness of the frame by x. Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
                                 
                                                A = (3 + 2x)(2 +2x) = 8

The equation above can be simplified into 4x^2 + 10x -2 = 0. This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice. 

Answer:

The answer above is correct i took the test

Step-by-step explanation:

Please help will give brainliest!CheapBuys, a large bulk store, sells cases of bottled water for $13.49. There are 48 bottles in each case and the bottles are 12 ounces each. Sarah remembers that the vending machine at work sells the same size bottle for $0.75 per bottle. Calculate the cost for one bottle and tell if Sarah should buy bottled water by the case or not.

A: Buying in bulk will not save her any money since the bottles in the case and the bottles from the vending machine are both about 75 cents each.

B: The cost per bottle at CheapBuys is approximately 28 cents, so Sarah will save a considerable amount of money by buying water in bulk rather than from the vending machine.

C: Each bottle of water in the case from CheapBuys is 35 cents, so she should buy the case instead of buying it at work.

D: The case of water is $13.49. Since the individual bottles are cheaper in the vending machine, Sarah should buy the bottles at work.

Answers

Answer: B

Step-by-step explanation:

$13.49 ÷ 48 = $0.28  per bottle in the case

Answer:

Step-by-step explanation:

Step 1:

Cost of 1 case of water with 48 bottles - $13.49

Step 2:

Calculate cost of 1 bottle of water - (Cost of 1 case)/(Number of bottles)

13.49/48 = $0.28

Answer: B

Blue Skies Equipment Company uses the aging approach to estimate bad debt expense at the end of each accounting year. Credit sales occur frequently on terms n/60. The balance of each account receivable is aged on the basis of three time periods as follows: (1) not yet due, (2) up to one year past due, and (3) more than one year past due. Experience has shown that for each age group, the average loss rate on the amount of the receivable at year-end due to uncollectibility is (a) 3 percent, (b) 9 percent, and (c) 28 percent, respectively. At December 31, 2019 (end of the current accounting year), the Accounts Receivable balance was $48,700 and the Allowance for Doubtful Accounts balance was $920 (credit). In determining which accounts have been paid, the company applies collections to the oldest sales first. To simplify, only five customer accounts are used; the details of each on December 31, 2019, follow:

Answers

Answer:

hello your question is incomplete attached below is the missing table

answer = $48700

Step-by-step explanation:

Calculate the total account receivable in each age category

1) not yet due age category

 = $4000 + $4000 + $7000

 = $15000

2) up to 1 year age category

  = $20500 + $7000

  = $27500

3) more than 1 year age category

  = $6200

therefore the total amount of  account receivables =  15000 + 27500 + 6200  = $48700

Final answer:

The aging approach categorizes accounts receivable based on how long they've been due. The bad debt expense is estimated by multiplying the total receivables in each category by the corresponding nonpayment rate. Any excess of calculated bad debt over the existing allowance balance is recorded as bad debt expense for the year.

Explanation:

The aging approach to estimating bad debt involves assessing the likelihood of nonpayment of each debt based on how long it has remained due. In this scenario, Blue Skies Equipment Company has categorized its accounts receivables into three groups: not yet due, up to one year past due, and more than one year past due.

To estimate their bad debt expense, they multiply the total of receivables in each category by the corresponding nonpayment rate: 3%, 9%, and 28%. These calculated figures will give the expected uncollectible amount for each category. Then, they would sum up these amounts to determine the overall bad debt expense for the year.

It's important to note that at the end of the year, a comparison is made between the calculated bad debt expense and the existing balance in the Allowance for Doubtful Accounts. Any excess of calculated bad debt over the existing allowance balance is recognized as bad debt expense for the year.

Learn more about Aging Approach here:

brainly.com/question/31497442

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Amelia is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Amelia who has hooked a fish that is 10 meters below the surface of the water. Use a positive or negative number to represent the location in relation to sea level. Amelia= Top of the Light house= The Boat= The Fish= How many meters is Amelia from the fish?

Answers

55 or 45 meters not sure

Answer:

Amedia =  30 m

Top of the Lighthouse = +45 m

Boat = 0

Fish = - 10 m
The distance between Amelia and the fish  is 40 meter

Step-by-step explanation:

Amelia  = 30 m ( height of the cliff) since Amelia is standing on it's edge

-Top of lighthouse =  lighthouse is located on top of the cliff ;
mean height of cliff + height of light house = (30 + 15) = 45 m

-The boat = 0 (on the surface of water) ; this is the sea level surface or point

-The fish = - 10 m (10 meters below the water surface).

Distance between Amelia  and fish :

30 m - ( - 10 m) = 30 m + 10 m = 40 m

Sue bought ten items at an average price of $3.60. The cost of eight of the items totaled $30. If the other two items were the same price, what was the price she paid for each ?1) $15, 2) $7.50, 3) $6, 4) $3, 5) $1.50I guess the answer is $7.50.What is yr answer ???

Answers

4) $3
Total price of the 10 items= $3.6x10=$36
The cost of the other two items=$36-$30=$6
The cost of each of the two= $6/2(because they are the same price)
                                       =$3


The answer is 4.) $3 each

She bought 8 items at $30 so those cost $3.75 each

8*$3.75=$30 

then add $6 +30= $36

$36/10 = $3.60 for average cost of each item

so the other 2 items cost $3 each