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melamori03 [73]
2 years ago
7

Solve the system of equations by substitution. 3/8x + 1/3y = 17/24 x + 7y = 8

Mathematics
1 answer:
bixtya [17]2 years ago
3 0
Using the second equation, let’s find x

x + 7y = 8
x = 8 - 7y

Substitute x in the other equation

3/8(8 - 7y) + 1/3y = 17/24
3 - 21/8y + 1/3y = 17/24
-55/24y = -55/24
y = 1

Plug in y in any equation

x + 7(1) = 8
x + 7 = 8
x = 1

x = 1 and y = 1
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Evaluate 2b^2 − 4a + 4a^2 for a = 3 and b = −8.
kipiarov [429]

(2*(-8)^2)-(4*3)+(4*3^2)

128-12+36

152

6 0
2 years ago
A manufacturer has a monthly fixed cost of $110,000 and a production cost of $14 for each unit produced. The product sells for $
vova2212 [387]

Answer:

Cost function C(x) == FC + VC*Q

Revenue function R(x) = Px * Q

Profit function P(x) =(Px * Q)-(FC + VC*Q)

P(12000) = -38000 Loss

P(23000) = 28000 profit

Step-by-step explanation:

Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.  

(a)Cost function

C(x) = FC + vc*Q

Where  

FC=Fixed cost

VC=Variable cost

Q=produce quantity

(b)

Revenue function

R(x) = Px * Q

Where  

Px= Sales Price

Q=produce quantity

(c) Profit function

Profit = Revenue- Total cost

P(x) =(Px * Q)-(FC + vc*Q)

(d) We have to replace in the profit function

<u>at 12,000 units </u>

P(12000) =($20 * 12,000)-($110,000 + $14*12,000)

P(12000) = -38000

<u>at 23,000 units </u>

P(x) =($20 * 23,000)-($110,000 + $14*23,000)

P(23000) = 28000

5 0
3 years ago
Ana Completed 40% of her homework assignment How to Assignments contain 30 math problems how many problems does Anna still need
yulyashka [42]

Answer:

18

Step-by-step explanation:

30*0.4=12

This means 40% of 30 is 12 and Ana has completed 12 problems.

30-12 = 18, so she still needs to do 18 problems.

4 0
3 years ago
F(x) = -6x-1<br> f(-1/2) = ?
UNO [17]

Answer:

Intersection point of this is (0,-0.5)

Step-by-step explanation:

Hope this helps :)

7 0
3 years ago
2/3 (greater than less than or equal) 8/12
NemiM [27]
2/3 = 8/12
reason:
2/3 * 4/4
5 0
3 years ago
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