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ICE Princess25 [194]
3 years ago
7

Solve for x (4/y) + (3/x) = 8 (6/y) + (5/x) = 13

Mathematics
1 answer:
oee [108]3 years ago
5 0

Answer:

0.5

Step-by-step explanation:

Given data

\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13

Now,

4x+3y=8xy......(i)

6x+5y=13xy.......(ii)

Multiply by 5 in equation (i) and by 3 in equation (ii)

20x+15y=40xy.....(iii)

18x+15y=39xy.....(iV)

Solving above equation (iii) and (iv)

2x=xy

y=2

Now, putting the y=2 in equation (i)

4x+3(2)=8x(2)

4x+6=16x

6=12x

x=0.5

Value of x=0.5

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If f(x)=2x^2+(1000/x), find the average rate of change of f(x) from x=a to x=a+h.
galina1969 [7]

Answer:

\frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} is your average rate of change,

Step-by-step explanation:

average rate of change is

\frac{f(a+h)-f(a)}{a+h-a}, by slope formula

simplify this to get \frac{f(a+h)-f(a)}{h}, which is the definition of the derivative as h goes to 0

\lim_{h \to 0} \frac{f(a+h)-f(a)}{h}

since you defined x=a, we can substitute a for x and vice versa to find our derivative.

\lim_{h \to 0} \frac{(2x^2+\frac{1000}{x+h})-(2x^2+\frac{1000}{x})}{h}

simplifying

\lim_{h \to 0} \frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} (your average rate of change)

6 0
3 years ago
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wlad13 [49]

Answer: mean I hope that he also are you doing a test?

7 0
3 years ago
Find the sale price.<br> Original price: $50<br><br> Discount: 15%<br><br> Sale price: $
babunello [35]
$42.50

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8 0
4 years ago
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A principal of $2300 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 10 years?
katovenus [111]
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149.5*10 = 1495

2300 + 1495 = $3795
7 0
4 years ago
Math <br><br><br> help pls!!<br><br> solve for x and y
Elan Coil [88]

Answer:

x = 7 ,  y= - 6

Step-by-step explanation:

4x = -2 - 5y ___(1)

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so, now by simultaneous equations,

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if y = -6

then, 4x= 10 -3(-6)

4x =28

x = 7

8 0
3 years ago
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