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PIT_PIT [208]
3 years ago
5

Some methods for graphing equations work well with certain equations and some don’t. Knowing which method to select based on the

given equation is a valuable skill. You have learned three methods to graph equations. These methods are:
y = mx + b
find intercepts
use a t-chart

A. Post your response to the discussion board.

Using the following 3 equations, answer the questions:
11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18

How can you determine which equations can be graphed more easily using x- and y-intercepts, rewriting in slope-intercept form, or using a table of values?
Which method works best for you personally? When does it not work as well?
Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Answer:

Step-by-step explanation:

I tried to translate "11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18"

This is what I got:

11x + y = 4

x+y=-2

x-2y=18

For me, personally, I need to rewrite these equations into standard format of y=mx+b (slope intercept):

-------

11x + y = 4

y=-11x+4

-------

x+y=-2

y=-x-2

-------

x-2y=18

2y = x-18

y=(1/2)x-9

------

For each one I can find the y-intercept easily: (4, -2. and -9). I can quickly generate a second point by assuming a convenient value for x (one that makes the calculation simple).

1. y=-11x+4 let x = 1; y = -7 : (1,-7)

y=-x-2 let x = 2; y= -4 : (2,-4)

y=(1/2)x-9 let x= 2; y=-8 : (2,8)

The y-intercepts tell us at point on the line for each equation:

(4, -2. and -9) means points at (0,4), (0,-2) and (0.-9)

Now we have two point for each line equations. All we have to do is mark those two points for each equation and draw a line through them. Easy!

The two points for each equation are:

1. (1,-7), (0,4)

2. (2,-4), (0,-2)

3. (2,8), (0.-9)

This always works well for equation of lines. More comples equations involving parabolas, etc., are more easily graphed using tables of the results of various x inputs.

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denis23 [38]
The area of a rectangle is length*width.

The length of this 3x and the width is 2x-3. This means that, to find the area, you need to multiply 3x and 2x-3.

Start by writing out this equation:
A=l*w

Then, plug in your given values:
A= 3x*2x-3 (you can also write it as A= 3*x*2*x-3)

Then, following the order of operations, you start by multiplying. This makes your equation become A = 6x^2 -3. (^2 means squared). It turns into this because 3 * 2 is 6 and x * x is x^2 and you still haven’t used the 3 yet.

After this, there is nothing more that you can do to simplify the equation. Therefore, the area is 6x^2 - 3.

I hope this helped!
4 0
3 years ago
1
LekaFEV [45]
The answer should be B.
8 0
2 years ago
Help me with number 8
kirza4 [7]
Supreme sold 29 tires.  Set it up like this, with Supreme as your x and Prestige as y: 48x + 56y = 2008.  This is an equation in terms of money, with x being the number of Supreme tires sold at $48 each and y being the number of Prestige tires sold at $56 each. We know that Prestige sold 11, so sub it for y and do the math: 48x = 2008 - 616; x = 29
7 0
3 years ago
A survey by the Pew Research Center asked a random sample of 2142 U.S. adults and a random sample of 1055 college presidents how
gayaneshka [121]

Answer: 0.0125

Step-by-step explanation:

Given :  A survey by the Pew Research Center asked a random sample of 2142 U.S. adults and a random sample of 1055 college presidents how they would "rate the job the higher education system is doing in providing value for the money.

5% the U.S. adults and 17% of the college presidents provided a rating of "Excellent."

i.e. n_1=2142,\ n_2=1055

p_1=0.05 , p_2=0.17

The standard error of the difference in sample proportions  :-

\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}

=\sqrt{\dfrac{0.05(1-0.05)}{2142}+\dfrac{0.17(1-0.17)}{1055}}\\\\=0.0124867775151\approx0.0125

Hence, the standard error of the difference in sample proportion = 0.0125

5 0
3 years ago
Comparing Step Functions
maks197457 [2]

Hello, if you want help I can help you!

So, your answers should be A and D

If I'm wrong correct me.

5 0
3 years ago
Read 2 more answers
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