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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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Quadrilateral ABCD has vertices at A(-3, 3), B(0, 4), C(3, 3),and D(0,2). What word below best describes this quadrilateral?
BaLLatris [955]

9514 1404 393

Answer:

  D)  Rhombus

Step-by-step explanation:

The figure is a parallelogram with equal-length sides, so is a rhombus.

8 0
2 years ago
A car travels 24 km in 15 minutes. How far does it travel in 1 and a half hours
VladimirAG [237]

Answer:

144 km

Step-by-step explanation:

1 hour and a half hour = 90 minutes.

In 15 minutes a car travels 24 km

In 1 minute a car travels (24÷15) = 1.6 km

In 90 minutes a car travels (90×1.6)= 144 km

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4 0
2 years ago
How many kilometers are in 35 MI
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Step-by-step explanation:

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8 0
2 years ago
Recursive formula for 26, 24, 22, 20
dexar [7]

Answer:

a_n = 28-2n

Step-by-step explanation:

Given sequence is:

26,24,22,20

We can see that the difference between consecutive terms is same so the sequence is an arithmetic sequence

The standard formula for arithmetic sequence is:

a_n = a_1+(n-1)d

Here,

a_n is the nth term

a_1 is the first term

and d is the common difference

So,

d = 24-26

= -2

a_1 = 26

Putting the values of d and a_1

a_n = 26 + (n-1)(-2)\\a_n = 26-2n+2\\a_n = 28-2n

Hence, the recursive formula for given sequence is: a_n = 28-2n ..

4 0
2 years ago
-7 times 8 = 7 times (-8) true or false
12345 [234]

Answer:

Yaa it's true

Step-by-step explanation:

-56=-56

from both side u get the same answer

5 0
3 years ago
Read 2 more answers
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