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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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The formula to find the area of a circle is pi x radius^2.

pi = 3.14 (in this case)
radius = 6

6^2 (6 x 6) = 36

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5 0
2 years ago
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
murzikaleks [220]

Answer:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]

Solve the terms in the bracket first

That's

( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)

( 9m + 3n - 11 ) + ( m + 4n - 3)

<u>Remove the brackets</u>

That's

9m + 3n - 11 + m + 4n - 3

<u>Group like terms</u>

9m + m + 3n + 4n - 11 - 3

The final answer is

<h3>10m + 7n - 14</h3>

Hope this helps you

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3 years ago
5x - 7= 3??? plz help
Oliga [24]

Answer:

x=2

Step-by-step explanation:

3 0
2 years ago
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Finding missing data With given mean
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<span>To find a missing number in a data set given the mean of the data set, count the total number of data points in the data set, including the missing number, and multiply the mean by this total number. Next, add together the known numbers in the data set. Finally, take the difference of the two numbers just calculated.</span>
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Alyssa has a goal to read a certain number of pages each week. So far she has read 60 pages, which is 15% of her goal. What is h
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400 because divide 60 by 15 in order to get 1% of the unknown number, which is 4. Then, just multiply 4 by 100 to get 100% of the number, which equals 400.

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3 years ago
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