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3 years ago

Help. Need help. Please help.

Mathematics

1 answer:

ryzh [129]3 years ago

5 0

Answer:

30 or -30

Step-by-step explanation:

y^2 = 900

Take the square root of each side

sqrt(y^2) = sqrt(900)

y = ±30

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Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point)

Rina8888 [55]

Answer:

$g(x)=x^2+4$ and $f(x)=\frac{8}{x}$

Step-by-step explanation:

If we want to express $y$ as $y=f(g(x))$ , this means that put the function $g(x)$ into $x$ of $f(x)$ to get $y$ .

The function $y$ is given as $y=\frac{8}{x^{2}+4}$

<u>So we need to figure out a function $g(x)$ that we can put into another $f(x)$ to get $y$ </u>

If we let $g(x)=x^2+4$ and $f(x)=\frac{8}{x}$ , we can clearly see that putting g(x) into x of f(x) will give us $\frac{8}{x^2+4}$ , which is y.

Hence $g(x)=x^2+4$ and $f(x)=\frac{8}{x}$

3 0

3 years ago

Read 2 more answers

[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

7 0

3 years ago

Please help me out with this problem!!!

Ronch [10]

Answer:

y = 3x - 2

Step-by-step explanation:

The equation is linear and expressed in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Given (0, - 2 ) then c = - 2

Calculate the multiplier using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table

m = $\frac{1+2}{1-0}$ = 3, hence

y = 3x - 2 ← equation relating x and y

6 0

3 years ago

What is the value of the letter n?

sleet_krkn [62]

Answer:

The value of n depends on the questin. N would be a variable in an equation.

Step-by-step explanation:

For example. 2*n=6

n is the variable in the equation. Therefore, the value of n is 3. Because 2*3=6.

8 0

3 years ago

A 3

Andrew [12]

Answer:

There are (63) combinations. The notation means "six choose three". Out of six items (flavors) choose three.

(nk)=n!k!(n−k)!.

(63)=6!3!3!.

Think of it this way. There are 6 ways to choose a flavor. Once you choose, there are 5 ways to choose the next. After that, there are 4 flavors left. which is 6!/3!=6⋅5⋅4⋅3⋅2⋅13⋅2⋅1=6⋅5⋅4=120.

But, you could have chosen {chocolate,vanilla,strawberry} and you get the same combination as {vanilla, strawberry, chocolate} so we have to divide by 3!=3⋅2⋅1=6 to account for the order of choosing.

So the number of combinations of flavors is (63)=1206=20.

<h3>Mark me a brainlist</h3>

7 0

2 years ago