All categories

4 years ago

Write y = 1/6x + 4 in standard form using integers.

2 answers:

8 0

The standard form of an equation of a line would be written as Ax + By = C where A, B and C are numbers. To write the given equation to this form, we do as follows:

<span>(y = x/6 + 4) 6
6y = x + 24
-x + 6y = 24

Therefore, the correct answer from the choices listed above is option B.

Hope this helps. Have a nice day.</span>

Nastasia [14]4 years ago

4 0

Answer:

-x + 6y = 24

Step-by-step explanation:

You might be interested in

at the metal-casting company where i work, i must set up a conveyor system to move castings from the furnace to the heat treatme

Harman [31]

Maximum time allowed = 7 deg. / 0.03 deg/s = 233.3 s
Minimum speed = 55 yd * 3 ft/yd / 233.3 s
= 0.707 ft/s

4 0

4 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

4 years ago

To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected, and test

klasskru [66]

Transmutation is the process of changing the substance, tangible or not, from one form to the other. It means the transformation of one element in the periodic table into another by one or a series of nuclear decays or reactions. One type of transmutation is nuclear transmutation. Nuclear transmutation is the conversion of one chemical element or isotope into another though nuclear reactions or nuclear decay. Second type of transmutation is artificial transmutation. Artificial transmutation occur in machinery that uses nough energy to cause changes in the nuclear structure of the elements.

6 0

3 years ago

Please Help me. I Need help fast. Only answer if you can explain your work.

Levart [38]

0.04(30h) is the part. Because 0.04 represents 4%, we know that it should be the tax rate. 30h represents the cost for every hour, so we know that that's not the correct answer.

4 0

4 years ago

Read 2 more answers

Terrence is playing a game in which he will randomly select one square tile and one round tile from the tile sets shown below. B

VMariaS [17]

Answer:

letter c

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers