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spayn [35]
3 years ago
13

Find the maximum value of c=4x+2y2x+2y less than or equal to 103x+y less than or equal to 9

Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer: 14

<u>Step-by-step explanation:</u>

Step 1: Graph both equations to find the vertices (see attached):

  • The graph shows vertices at: (0, 0), (3, 0), (0, 5) and (2, 3)

Step 2: Input the coordinates of the vertices into the given function                  (c = 4x + 2y):

  • (0, 0):   4(0) + 2(0) = 0
  • (3, 0):   4(3) + 2(0) = 12
  • (0, 5):   4(0) + 2(5) = 10
  • (2, 3):    4(2) + 2(3) = 14

Step 3: Evaluate the value from Step 2 to find the maximum (largest).

  • the largest value between {0, 12, 10, 14} is 14

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Sheila is incorrect! I think what she did is think the 38 was actually a 35, which WOULD of made her statement true, but since it's 38, she's very incorrect. Sheila should be using the quotient for the size of each piece. 38 divided by 5 is 7.6. The correct answer is 7.6 inches.

5 0
3 years ago
Study quadrilateral ABCD. Which graph of ABCD shows the reflection of quadrilateral ABCD across the line y=x
algol13

Answer:

graph C

Step-by-step explanation:

3 0
3 years ago
I need helpp plsss:)
kakasveta [241]

Answer:

*read explanation for both questions*

Step-by-step explanation:

So the first one asks <em>”the first number in a pattern is 6, the pattern follows the rule ’</em><em>multiply by 4’ </em><em>“</em>

The question has the answer to it, so each number would be multiplied by 4. So we have the first one which is 6, next we multiply 6 x 4 = 24. Then we multiply 24 x 4 = 96. and finally you multiply 96 x 4 = 384.

That’s the pattern fo the first one

The second one asks <em>“The shapes have been sorted into two groups. explain what attribute was used to sort the shapes.”</em>

<em />

When we’re looking for attributes, look for what they have in common. For me, I see that Group 1 has the smaller versions of the same shapes in Group 2. So that could be the attribute the question is asking for.

3 0
3 years ago
Dwayne's family has many pets. at the house they have both cats and birds. between all the cats and birds, they have 16 eyes and
densk [106]
Let C be the number of cats and B be the number of birds.
Each cat has 4 legs while each bird has 2 legs. Thus,
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Each cat and each bird has 2 eyes
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Substituting 2B
2C + 22 - 4C = 16
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6 0
3 years ago
Read 2 more answers
Brooke has to set up 70 chairs in equal rows for the class talent show. But, there is not room for more then 20 rows. What are t
grin007 [14]

Answer:

The answer is 2, 5, 7, 10, and 14.


Step-by-step explanation:

Let x be the number of rows. There is not room for more than 20 rows:

x ≤ 20


Since all rows must be equal, when we divide 70 by x, we must get a whole number. So, we must find all divisors of 70 smaller or equal to 20 and they are: 2, 5, 7, 10, and 14.

So, the possibilities are:

2 rows with 35 chairs in each row

5 rows with 14 chairs in each row

7 rows with 10 chairs in each row

10 rows with 7 chairs in each row

14 rows with 5 chairs in each row

Hope this helps!!


~CoCo

7 0
3 years ago
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