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?

Answers

Answer 1

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.


Related Questions

Suppose that 12 inches of wire costs 60 cents at the same rate how many inches of wire can be bought for 25 cents

Answers

Answer:

5 inches

Step-by-step explanation:

60÷12=5 cents ( 1 inches of wire )

25÷5=5 inches

8 7/3 divided 7 1/2

6 1/2 divided 34/4

23/3 divided 6 2/5

Pls help ASAP

Answers

1) 1 17/45

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

31/3 ÷ 15/2

Applying the fractions formula for division,

= 31 × 2/3 × 15

= 62/45

Simplifying 62/45, the answer is

1 17/45

2)  13/17

First:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

13/2 ÷ 17/2

Applying the fractions formula for division,

= 13 × 2/2 × 17

= 26/34

Simplifying 26/34, the answer is

13/17

3) 1 19/96

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

23/3 ÷ 32/5

Applying the fractions formula for division,

= 23 × 5/ 3 × 32

=115/96

Simplifying 115/96, the answer is

1 19/96

5 hundred millions, 4 millions, 6 thousands, 2 tens
>
504,060,020 ?

Answers

Answer:

5 hundred millions, 4 millions, 6 thousands, 2 tens = 504,006,020

Step-by-step explanation:

504,060,020 > 5 hundred millions, 4 millions, 6 thousands, 2 tens

                                                                                      (504,006,020)


What is the coefficient of the term of degree 4 in the polynomial?
6x3 + 2x - 5x3 + x²

Answers

the coefficient of term 4 is 2

Help I will mark brainliest

Answers

Answer:

350

Step-by-step explanation:

Multiply all the sides by each other. This is a triangular prism so the base, you divide by 1/2. So:

A = 7 * 10 * 10

A= 7 * 5 * 10.

(You divide the ten on the bottom)

7*5 = 35

35*10 = 350

Answer:

240

Step-by-step explanation:

The surface is the sum of the sides (all 4 equal) plus the base.

A = 4(1/2B * H) + B**2

A = 4((1/2 * 10) * 7) + 10 * 10

A = 4(5 * 7) + 100

A = 4 * 35 + 100

A = 140 + 100

A = 240

I need help! Please tell me

Answers

Answer:

y = 2x + 6

y = -1/4 x - 3

Step-by-step explanation:

We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.

The equations are:

y = 2x + 6

y = -1/4 x - 3

y = 2x + 6
&
y = -1/4 x -3

Verify in the following whether g(x) is a factor of p(x)
(i). g(x) = x-2; p(x) = x⁴-x³-x²-x-2
(ii). g(x) = x+1; p(x) = 2x³+x²-2x+1​

Answers

[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]

Given that,

[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]

and

[tex]\rm \longmapsto\:g(x) = x - 2[/tex]

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

[tex]\rm \longmapsto\:p(2)[/tex]

[tex]\rm \:  =  \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]

[tex]\rm \:  =  \: 16 - 8 - 4 - 4[/tex]

[tex]\rm \:  =  \: 16 - (8 + 4 + 4)[/tex]

[tex]\rm \:  =  \: 16 - 16[/tex]

[tex]\rm \:  =  \: 0[/tex]

[tex]\rm\implies \:p(2) \: = \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]

[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]

[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]

and

[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]

Now, By using Factor Theorem, Consider

[tex]\rm \longmapsto\:p( - 1)[/tex]

[tex]\rm \:  =  \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]

[tex]\rm \:  =  \: - 2 + 1 + 2 + 1[/tex]

[tex]\rm \:  =  \: 2[/tex]

[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]

A = (b1 + b2) h / 2
I'm so confused, and i need to solve for h.

Answers

Step-by-step explanation:

Multiply both sides by 2/(b1 + b2) to isolate h and get

h = [2/(b1 + b2)] A = 2A/(b1 + b2)

May I please receive help?

Answers

Answer:

[tex] \alpha + (\alpha + 61) = 109 \\ 2 \alpha + 61 = 109 \\ 2 \alpha = 48 \\ \alpha = 24[/tex]

The measure of angle one is 24°

You would set up the equation like this:
(x+61) +x = 109. X represents angle 1. Therefore the equation simplifies to 2x= 48 making x=24 which means angle 1 is equal to 24.

What is the relationship between the volume of a rectangular prism and pyramid that both have the same dimensions?

Question 23 options:

A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
B) The volume of the pyramid is 3 times the volume of the rectangular prism.
C) The volumes are the same
D) There is no relationship

Answers

Answer:  A) The volume of the pyramid is 1/3 the volume of the rectangular prism.

Explanation:

Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.

Put another way: we can fit 3 pyramids into one rectangular block.

Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money will he have in his account by the end of the year 8? with solutions​

Answers

Answer:

$34,000

Step-by-step explanation:

Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:

8*1,750 = $14,000

Together with the deposited money:

$20,000 + $14,000 = $34,000

By the end of year 8 there will be $34,000 of Jerry's account.

I Will brainlist who can answer this question please!!!​

Answers

The answers are
D) x^2 - 9, A) 8x - 600, C) 9, B) php1000, T) 10 and 45

58ml : 1120ml : 104ml need answer asap!

Answers

Answer:

i dont know the answer sorry

Step-by-step explanation:

Allison is going to the post office to buy 34cent stamps and 3 cent adjustment stamps. Since the current postage rate is 49 cent she will need 5 times as many 3 cent adjusment stamps as 34 cent stamps. If she has $12.25 to spend, what is the largest number of 34 cent stamps she can buy?

Answers

Determine the largest number of 34 cent stamps she can buy

The largest number of 34 cent stamps she can buy is 30

Given:

Total money = $12.25

let

x = 34 cent stamp

y = 3 cent stamp

34 cent stamp = 5 × 3 cent stamp

x + y = 0.49

x = 5y

0.34x + 0.3y = 12.25

0.35(5y) + 0.3y = 12.25

1.75y + 0.3y = 12.25

2.05y = 12.25

y = 12.25/2.05

y = 5.9756097560975

approximately, y = 6

Recall,

x = 5y

x = 5(6)

x = 30

Therefore, the largest number of 34 cent stamps she can buy is 30

Read more:

https://brainly.com/question/7852538

Jason deposits $1700 in an account that earns 5% interest compounded weekly. How much will Jason have after 8 years?

Answers

Answer:

$2511.674254, rounded to $2512

Step-by-step explanation:

1700x1.05^8

1 package of COOKIE mix requires 2 T water and 1 stick of butter. How much water is required if you DOUBLE the recipe?

Answers

Answer:

4 T

Step-by-step explanation:

2 T (2) = 4 T

Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches How much flour does Nate need to make his cookies? 1 cups 62 cups 12 61 cups 71 cups​

Answers

Answer:

12

Step-by-step explanation:

2(3x=4)
(x-2)(x=3)
(x-2)^2-3x(x+2)
(x-3)(x+3-(x+2)^2

Answers

Answer:

true

Step-by-step explanation:

thats correct becauee yeah

please help on 6 and 7 !!

Answers

Answer:

, o0e1g02gd20ugd2pigs1ogdp1usg1usg2sg9gsulsg2upgpu2gdu2

Step-by-step explanation:

Upf2upg2epu96fsgd2jgdf2u2gs2pugdpu2v20udg0u2dg2d07gdu02v0uvdu2udih28db2 uwg02u8g8whd2idb0u3df'3

Kbudwigwivsus8hd3ib3idhkdwvdjwbi3bxoxhk2xv2ixb2ibx83dh82hd3uvdusv0u2vdodvpu2vu2dbi3dvdhddhdug2d

Hdib3ibddbidb8hf

Jf3ihdi2hdh2odn3foj3fohf8echwdvdih2d8hf28hfi2dhpuvdudb2i3hdif3hidi2dbi2dbdhihdi3bdi3bdebx9dgdibiwvdv2usb3ibxi2gdnodiv2uvdk3bdib3d3idvjb3dk2bdkvxkbwjbxw

Iwdgid2bi2bvvz

Jdi3hi3dhi3dboefb3idbibf8e

3idbihi2hdowdndiwb

Whdkwdbkei3fh

Xhwoxbeifiebc

Oejfoefbo3nf

In a neutral atom that has 18 protons, how many electrons does it have?

Answers

Neutral atoms must have equal numbers of protons and electrons

Solution: 18 electrons

Guys please i beg you help me

Answers

Answer:

( A . ans )expressions that work the same even though they look different.

I NEED HELP ASAP WILL GIVE BRAINLIEST FOR ALL 3

Answers

2) i don't know answer for 2, but i know that it isn't right triangle because from Pythagoras' Theory we know that for right triangle: a^2 + b^2 = c^2 but in this triangle 30^2 + 38^2 ≠ 54^2

3) from Pythagoras' theory we know that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides: a^2 + b^2 = c^2

we have to check this in this triangle:

12^2 + 16^2 = 400

√400 = 20

we know that third side of this triangle is 20 so this triangle is right triangle

3) in square all sides are same so If a is the one side of the square then area of this square will be a x a = 242

a^2 = 242

so from Pythagoras' theorem we can found the diagonal:

a^2 + a^2 = c^2 ( c is hypothenuse)

242 + 242 = c^2

484 = c^2

c = 22

hope it's correct and it'll help you :)

A robot begins at point A travels 4 meters west, then turns and travels 7 meters south, reaching point B. What is the approximate straight-line distance between points A and B

Answers

Answer:

Approximately 8 meters

Step-by-step explana

asap po please thank you po!

Answers

Answer:

1 is correct, 100.

2 is 500, not 470. since we're rounding to the nearest hundred, we would look at the tens place and if it's higher than 5 then round up.

3 is correct.

4 is correct.

5 is correct.

6 is correct.

7 is correct.

8 is 290, not 300. like i said before, but in this case we're rounding t the nearest ten instead of hundred. but the same rules apply.

9 is correct.

and 10 is correct!

i think that you did pretty well on most of these, but remember the rounding rule.

PLS HELP ME ASAP
NO LINKS
1.What is the probability of rolling an odd number on a 6 sided die
2.Eric and 3 friends took turns riding the Beast with each other at Kings Island. If they rode with all others exactly once, how many times did they ride it?

3. What is the area of a circle with a radius of 4mm? Use 3.14 for pi.

4. Find the median of the following data set.
6.2, -5.9, 2.4, 1.8, 8.7

5. What is the slope from (-1,2) to (2,-2)?

6. How many different ways can you write the letters a, b and c in order from left to right?

Answers

Answer:

1. 3/6 or 3 out of 6

2. 6 times

3. 50.24mm²

4. 2.4

5. -4/3

6. 6 i think, but i'm not positive on this one

have a wonderful day :)

Q.

8³ + 6⁴

..................​

Answers

Answer:

1808

Step-by-step explanation:

Answer:

1808

Step-by-step explanation:

Step 1: 8 to the power of 3 = 8x8x8= 512

Step 2: 6 to the power of 4= 6x6x6x6= 1296

Step 3: 512+1296= 1808

what is the answer?
can someone help me with this?

Answers

Answer:

181.58 pics per month

Step-by-step explanation:

divide 1150 by 6.33

1150/6.33=181.58

not sure how to do this, could use some help. : )

Answers

Answer:

The GCF equal;

[tex] {x}^{3} y {z}^{2} [/tex]

I hope I helped you^_^

The depth of water in a reservoir increases from 14m to 15.75m. Work out the percentage increase.

Answers

Answer:

It was a 12.5% water gain

65 people paid $5 to go in a haunted house. They all went in, someone took their time to see the decorations and special effects. After 14 minutes half of them were outside waiting for the rest to finish. How many people are still inside? (HELP ME PLS AND I WILL PUT 5 STARS :)

Answers

Step-by-step explanation:

here's your answer

enjoy

Answer: 32.5

Step-by-step explanation: 65 divided by 2 ( 2 x 3 = 6 bring down the 5 so 2x2 = 4. Your remainder is 1 bit you can’t leave it like that so you add a extra zero put your decimal point so 32. (2x5 = 10 (remainder 0)

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