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antoniya [11.8K]
3 years ago
8

3y+2=9x-4 solve for yhurry please

Mathematics
1 answer:
vichka [17]3 years ago
4 0
3y+2=9x-4
3y=9x-4-2
3y=9x-6
y=3x-2
y=3x-2
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The number represented by x is less than 7 and is evenly divisible by both 0.6 and 2.4
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Help with 5b please . thank you.​
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Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

f'(x)=(0+1)/(1+x)-(1)+x

f'(x)=1/(1+x)-(1)+x

We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

1/(1+x)-(1)+x=0

Find common denominator:

1/(1+x)-(1+x)/(1+x)+x(1+x)/(1+x)=0

(1-1-x+x+x^2)/(1+x)=0

A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

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So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

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3 years ago
Solve the equation<br>4(y-3)=13​
I am Lyosha [343]

Step-by-step explanation:

4(y - 3) = 13 \\  \\  \therefore \: 4y - 4 \times 3 = 13 \\  \\  \therefore \: 4y - 12 = 13\\  \\  \therefore \: 4y  = 13 + 12 \\  \\  \therefore \: 4y  = 25 \\  \\ \therefore \:y =  \frac{25}{4}  \\  \\ \therefore \:y =  6\frac{1}{4}

7 0
3 years ago
Read 2 more answers
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