12) g = xy/c , for x

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

Answer:

c=xy/g happy to help ya:)

Step-by-step explanation:

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What is the minimum value of F(x)= 10x^{2} -6x-3<br> 3/10 or -39/10

kolezko [41]

Answer: 3/10

Step-by-step explanation:

Take the derivative of $10x^2-6x-3$ to get $20x-6$ . Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.

Now do:

$20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}$

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.

Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value

6 0

3 years ago

Please help and thank you

ziro4ka [17]

The LCD is x^2+3x+2 = (x+2)(x+1)
The goal is to get each fraction to have the denominator be equal to the LCD
Afterward we can add the fractions

x/(x^2+3x+2) + 3/(x+1)
x/((x+2)(x+1)) + 3/(x+1)
x/((x+2)(x+1)) + (3(x+2))/((x+2)(x+1))
(x+3(x+2))/((x+2)(x+1))
(x+3x+6)/(x^2+3x+2)
(4x+6)/(x^2+3x+2)

--------------------------------------------------

Final Answer: 4x+6

Note: you can factor 4x+6 to get 2(2x+3)

7 0

4 years ago

IR = V<br> (solve for R)

Marianna [84]

Answer:

The solution of the equation is $R = \frac{V}{i}$ .

Step-by-step explanation:

The previous equations is for the Ohm's Law, which states that current ( $i$ ), measured in amperes, is directly proportional to the voltage ( $V$ ), measured in volts: