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lys-0071 [83]
2 years ago
7

Solve the system of linear equation. 2x-5= 14 3x+2y = 40

Mathematics
2 answers:
spayn [35]2 years ago
8 0
X=9.5, Y=5.75. Step by Step Explanation is-
First take 2x-5=14
= 2x=14+5 ; 2x=19 ; x=19/2=9.5
Now take 3x+2y=40; We substitute the value of x with 9.5. So the equation is-
=3*9.5+2y=40 ; 2y+28.5=40 ; 2y=40-28.5=11.5 ; y=11.5/2=5.75.
Thank you and hope it helped
n200080 [17]2 years ago
5 0

Answer:

x=9.5, y=5.75

Step-by-step explanation:

2x-5=14, 3x+2y=40

focus on 2x-5=14 first:

2x-5=14 (add 5 to both sides) 2x=19(divide both sides by 2) x=9.5

Now subtitute x into the second equation and find y:

3(9.5)+2y=40(simplify) 28.5+2y=40(subtract 28.5 on both sides) 2y=11.5(divide both sides by 2) y=5.75

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Option A: All real numbers is the right answer

Step-by-step explanation:

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Keywords: Domain, functions

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3 years ago
Multiply both sides of the each equation in order to get the coefficient to be an integer.
monitta
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2 years ago
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#9. There are 180 degrees in a triangle. We already know two of the sides which added together make 112. Then we do, 180-112=68

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2 years ago
Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p
Damm [24]

Complete question is;

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total profits will be p(x) = -x³ + 4x² + x dollars, in thousands will be earned. How many t-shirts (rounded to the nearest whole number) should he print in order to make maximum profits? What will his profits rounded to the nearest whole dollar be if he prints that number of shirts?

Answer:

Number of t-shirts to make maximum profit = 2790 shirts

Maximum profit = $12,209

Step-by-step explanation:

From the question, we are given that the profit function is;

p(x) = -x³ + 4x² + x

For the maximum value of the profit function,

(dp/dx) = 0 and (d²p/dx²) < 0

Since, p(x) = -x³ + 4x² + x

Then,

(dp/dx) = -3x² + 8x + 1

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Also, (d²p/dx²) = -6x + 8

Now, let's put the roots of x into -6x + 8 and check for maximum value conditon;

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(d²p/dx²) = -6(2.79) + 8 = -8.74 < 0

Maximum has to be d²p/dx² < 0

So, the one that meets the condition is -8.74 < 0 at x = 2.79

Thus, the maximum of the profit function exists when the number of shirts, x = 2.79 (in thousands) = 2790

Now, the maximum profits that corresponds to this number of t-shirts of 2.79(in thousands) is obtained by putting 2.79 for x in the profit function;

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p(x) = 12.2088 (in thousand dollars) ≈ $12,209

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