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3 years ago

Y = x + 2 2x - y = -4

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

3 0

1.) X=-2

2.) 2x-y+4=0

Hope this helps! :))

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Integrate this two questions

tankabanditka [31]

Simplify the integrands by polynomial division.

$\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)$

$\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)$

Now computing the integrals is trivial.

$\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}$

where we use the power rule,

$\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)$

and a substitution to integrate the last term,

$\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)$

$\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}$

using the same approach as above.

5 0

2 years ago

If a meatball recipe calls for 10 pounds of ground beef is 5 kilograms of ground beef enough to make the meatballs

rodikova [14]

Answer: Yes. 5 kilograms is a little more than enough.

Step-by-step explanation:

Use the conversion factor. 1 kilogram = 2.20462 pounds

We can round that to 2.2 for a question like this.

5 × 2.2 = 11 pounds

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3 years ago

(4/2)^2*3.4*4

Andrej [43]

The original expression evaluates to 54.4 as shown in the first working.

_____
For some reason, 3.4 got transcribed to be 1.7 in the 3rd line of the second working. There is no math operation in the expression that requires 3.4 to be divided by 2.

7 0

3 years ago

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You purchase a new flat screen TV for $878.99. You are charged sales tax at a rate of 6%. What is your total balance due when yo

goblinko [34]

Answer:

Sales tax: $52.74

■ Cost/Price before ST: $878.99

■ Total Cost/Price including ST: $931.73

Step-by-step explanation:

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3 years ago

Which is the graph of y = 5log(x+3)

Maurinko [17]

Answer:

We are given a equation as:

5log(x+3)=5

We are asked to find a graph that is used to solve the above equation.

We can write the given equation as:

we will divide both side of the equation by 5 to obtain:

log(x+3)=1

Now we have to determine which graph represents the function:

y=log(x+3)

since we know that when x=-2.

y=log(-2+3)=log(1)=0

Hence, the graph should pass through (-2,0).

Hence, the graph that satisfies this is attached to the answer.

Step-by-step explanation:

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3 years ago

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