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3 years ago

2x+3y=11 Solve for x and y

1 answer:

6 0

To solve this equation you have to isolate one variable, first we will solving for x, then for y.

Solving for x

$2x+3y=11$

$2x=11-3y$

$\boxed{\boxed{x=\frac{11}{2}-\frac{3}{2}*y}}$

Solving for y

$2x+3y=11$

$3y=11-2x$

$\boxed{\boxed{y=\frac{11}{3}-\frac{2}{3}*x}}$

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Find the area bounded by the graphs of the indicated equations over the given interval.

NeX [460]

Answer:

Step-by-step explanation:

$y = 0$

is basically the horizontal axis.

First, find the integral of x^2-25.

Remember that

integral of a constant is that constant times x.

Also that

to take the integral of a power function, add 1 to the degree and divide by that same degree.

$y = {x}^{2} - 25$

We then get

$\frac{ {x}^{3} }{3} - 25x$

Evaluate at -3

$\frac{ - 3 {}^{3} }{3} - 25( - 3)$

$- 27 + 75 = 48$

Then we evaluate at 0

$\frac{0 {}^{3} }{3} - 25(0) = 0$

Next, we subtract the the answer then we get

$48 - 0 = 48$

8 0

2 years ago

Graph 25 = -5y -3x using the slope and y-intercept

wlad13 [49]

Step-by-step explanation:

you move -5y to the other side.

25=-5y-3xsubtract 25 both sides

0=-5y-3x-25then add 5y both sides

5y=-3x-25divide 5 both sides

y=-3/5x-5

m=-3/5 do rise over runrise/run

b=(0,-5)plot it

3 down and 5 to right or 3 up and 5 left

8 0

3 years ago

One zero of x^3 - 4x = 0 is 0 what are the other zeros of the function

myrzilka [38]

So you have x^3 - 4x = 0. What you can do is pull out an x from both x^3 and - 4x so it looks like this:

$x( {x}^{2} - 4) = 0$

Then you can find a number that makes the part inside the parentheses turn into zero. For beginners, it may be easier to write it out seperately and solve for x.

${x}^{2} - 4 = 0$

We need to solve for x, so the first step is to add 4 to both sides, so we get something like this:

${x}^{2} = 4$

Then, we can square root both sides to get rid of the power on the x, so it looks like this:

$x = \sqrt{4}$

Now, every square root has two answers, a positive and a negative. If we look at the bottom example:

${2}^{2} = 4$

${( - 2)}^{2} = 4$

We can see that both -2 and 2 to the power of two will equal to 4.

So finally, we get:

$x = - 2 \: and \: 2$

These are the other 'Zero's for the original function. If you are not sure of what a 'Zero' is, it is where the function crosses over the x-axis on a graph.

5 0

2 years ago

adults say that they have cheated on a test or exam before. You randomly select six adults. Find the probability that the number

VLD [36.1K]

Answer: a. 1/6. b. 2/3. c. 5/6

Step-by-step explanation:

Number of adults randomly selected= 6

a. Finding the probability of adults that have cheated on an examination before is exactly 4.

The numbers are 1, 2, 3, 4, 5 and 6.

Probability of chosen exactly 4 will be 1/6 since 4 can only occur once.

b. More than 2means 3,4, 5 and 6.

Probability that the number of adults that have cheated on a test or exam is more than 2 will be:

4/6 = 2/3

c. At most 5 means 1,2,3,4 or 5

This will give 5/6

5 0

3 years ago

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas

Norma-Jean [14]

Answer: The required number of books that Ruben had before purchases is 50.

Step-by-step explanation: Given that Ruben bought 6 new books for his collection that increased his collection by 12%.

We are to find the number of books that Ruben had before purchases.

Let x denotes the number of books that Ruben had before purchases.

Then, according to the given information, we have

$x+6=x+12\%\times x\\\\\\\Rightarrow 6=\dfrac{12}{100}x\\\\\\\Rightarrow 6=\dfrac{3x}{25}\\\\\\\Rightarrow 3x=150\\\\\Rightarrow x=\dfrac{150}{3}\\\\\Rightarrow x=50.$

Thus, the required number of books that Ruben had before purchases is 50.

4 0

3 years ago