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Sophie [7]
3 years ago
13

What is the first step to be done when solving this equation: 3(x-2+3) + 5 = 25

Mathematics
2 answers:
Kay [80]3 years ago
8 0
3x-6+9+5=25 is the first step
aivan3 [116]3 years ago
3 0
<span>What is the first step to be done when solving this equation:
 3(x - 2 + 3) + 5 = 25

Ok, so the first step is to distribute the parentheses:

3(x - 2 + 3) = 3x - 6 + 9 <<< answer

Next step: 

plug it in the equation

3x - 6 + 9 + 5 = 25

Simplify,

3x + 8 = 25

Then,
subtract 8 from both sides

3x = 25 - 8

so, 3x = 17

Divide both sides by 3

x = 17/3</span>
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What is the minimum value of C = 7x + 8y, given the constraints: 2x + y ≥ 8, x + y ≥ 6, x ≥ 0, y ≥ 0. A. 32 B. 42 C. 46 D. 64
marshall27 [118]

Answer: The minimum value of C is 46.

Step-by-step explanation:

Since, Here, We have to find out Min C = 7x+8y

Given the constraints are 2x+y\geq 8 -------(1)

x+y \geq 6   ------------- (2)

x \geq 0, y \geq 0  -------- (3)

Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)

And, 2\times 0+0\geq 8⇒0\geq 8 ( false)

Therefore the area of line 1) does not contain the origin.

For equation 2) x-intercept, (6, 0) and y-intercept (0,6)

And, 0+0\geq 6⇒0\geq 6 ( false)

Therefore the area of line 2) does not contain the origin.

Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)

At A≡(0,8) , C= 64

At E≡(2,4),  C= 46

At B≡(6,0),  C= 42

Thus at B, C is minimum, And its minimum value = 42


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3 years ago
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