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1 year ago

X + 2(y-6) = 0

1 answer:

5 0

2x - z = 4
6x - 5z = 18
3z - 2w = -18
If u want me to solve them it’s
1. X = -2y + 12
2. x = 10 - 4/3y | for y, y = 15/2 - 3/4x
3. x = 2+ 1/2z | for z , z = -4 + 2x
4. x = 3 + 5/6z | for z , z = - 18/5 + 6/5x
5. W = -3/2x + 13/2 | for x , x = -2/3w + 13/3
6. x = -5w + 13 | w = -1/5x + 13/5

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An office supply catalog gives a description of bookshelves that includes the following variables. Which of these variables is c

lesantik [10]

Categorical variables can assume values from a range of possible options, whereas quantitative variables can assume possibly infinitely many values from a certain number range.

So, the answer is "the colour of the bookshelf", because there can only be a limited number of possible colours for the bookshelf, whereas its width (no matter the unit measure) and height could be any number.

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2 years ago

The graph of a proportional relationship passes through the point (6, 21). What is the equation for the relationship?

Kipish [7]

Answer:

The equation for the relationship is $y = \frac{7}{2}\cdot x$ .

Step-by-step explanation:

Given that point $(x,y) = (6, 21)$ is part of a direct relationship. That is:

$y \propto x$

$y = k\cdot x$ (1)

Where $k$ is the proportionality constant.

If we know that $x = 6$ and $y = 21$ , then the proportionality constant is:

$k = \frac{y}{x}$

$k = \frac{21}{6}$

$k = \frac{7}{2}$

Lastly, the equation for the relationship is $y = \frac{7}{2}\cdot x$ .

7 0

2 years ago

If the point (a,3) lies on the graph of the equation 5x + y = 8, then a=<br>a.01<br>b.0-1<br>c.0-7

fomenos

Answer:

A (a = 1)

Step-by-step explanation:

A coordinate point is always in the form (x,y) that means the first point is always x-coordinate and the second point is always y-coordinate.

The equation given is:

5x + y = 8

The point is (a,3), so that means x = a and y = 3

We substitute the values into the equation and find a. Shown below:

5x + y = 8

5(a) + (3) = 8

5a + 3 = 8

5a = 8 - 3

5a = 5

a = 5/5

a = 1

Answer choice A is right

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2 years ago

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Ksju [112]

Answer:converge at $I=\frac{1}{3}$

Step-by-step explanation:

Given

Improper Integral I is given as

$I=\int^{\infty}_{3}\frac{1}{x^2}dx$

integration of $\frac{1}{x^2}$ is - $\frac{1}{x}$

$I=\left [ -\frac{1}{x}\right ]^{\infty}_3$

substituting value

$I=-\left [ \frac{1}{\infty }-\frac{1}{3}\right ]$

$I=-\left [ 0-\frac{1}{3}\right ]$

$I=\frac{1}{3}$

so the value of integral converges at $\frac{1}{3}$

8 0

3 years ago

Suppose you invest $500 at an annual interest rate of 8.2% compounded continuously. How much will you have in the account after

Marianna [84]

Here is the formula that your going to need to use A=P(1+r/n)^nt
So P=500, R=0.082, N=1, T=15
Plug it into your equation and you have A=500(1+0.082/1)^(1)(15)
Simplify what's in the parenthesis A=500(1.082)^(1)(15)
Multiply your exponents A=500(1.082)^15 Then A=500(3.26)
Finally you multiply your last two numbers to get A=1,630
So after 15 years you would have $1,630
I hope this helped you :)

7 0

2 years ago