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2 years ago

X+4y=4 y in terms of x

Mathematics

2 answers:

Fantom [35]2 years ago

4 0

Once you solve it, the answer is X=0

Alinara [238K]2 years ago

3 0

Answer:

x + 4y = 4

4y = 4 - x

multiply both sides by 1/4

y = 1/4( 4- x)

y = 1- 1/4x

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UNO [17]

Answer:

$\frac{15}{8}$

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by y=√x and y=x^2. Find V either by sl

Ede4ka [16]

Answer:

The volume of the solid is $3\pi/10$

Step-by-step explanation:

In this case, the washer method seems to be easier and thus, it is the one I will use.

Since the rotation is around the y-axis we need to change de dependency of our variables to have $f(x)\rightarrow f(y)$ . Thus, our functions with $y$ as independent variable are:

$x=\sqrt{y}\\ x=y^2$

For the washer method, we need to find the area function, which is given by:

$A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]$

By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function $x=\sqrt{y}$ and the inner one by $x=y^2$ . Thus, the area function is:

$A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)$

Now we just need to integrate. The integration limits are easy to find by just solving the equation $\sqrt(y)=y^2$ , which has two solutions $y=0$ and $y=1$ . These are then, our integration limits.

$V=\pi\int_{0}^1 (y-y^4)dy\\ V=\pi (\int_{0}^1 ydy - \int_{0}^1 y^4dy)\\ V=\pi/2-\pi/5\\\boxed{V=3\pi/10}$

3 0

3 years ago

How to say 6.324 in word form

Mandarinka [93]

six point three hundred and twenty four

3 0

2 years ago

A triangle has a perimeter of 18 inches. if one side has length 8 inches, find the length of the shortest side if the other leng

ladessa [460]

Perimeter = 18 = 8 + 2x + 3x

10 = 5x
x = 2
So the sides are 8, 4 and 6

8 0

2 years ago

A bag contains 9 marbles: 4 are green, 2 are red, and 3 are blue Yoko chooses a marble at random, and without putting it back, c

Virty [35]

Answer:

1/12

Step-by-step explanation:

Probability of first marble being red is 2/9.

Then since he is not replacing the marble, there is only 8 marbles left in the bag. So the probability of choosing blue is 3/8. Then you multiply 2/9 × 3/8 = 6/72.

In simplest form: 1/12

5 0

2 years ago