Consider the system of equations in standard form. x + 4y = 26, 3x – 4y = 30 What is the best window range for the x-values to determine the solution? What is the best window range for the y-values to determine the solution? What is the exact solution to the system of equations?

Answers

Answer 1

Answer:  x + 4y = 26 Slope = -0.500/2.000 = -0.250

 x-intercept = 26/1 = 26.00000

 y-intercept = 26/4 = 13/2 = 6.50000

Step-by-step explanation: x + 4y = 26

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 6.500 and for x=2.000, the value of y is 6.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.000 - 6.500 = -0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.500/2.000 = -0.250

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+4y-26  = 0 and calculate its properties

Notice that when x = 0 the value of y is 13/2 so this line "cuts" the y axis at y= 6.50000

 y-intercept = 26/4 = 13/2  =  6.50000

When y = 0 the value of x is 26/1 Our line therefore "cuts" the x axis at x=26.00000

 x-intercept = 26/1  = 26.00000

3x – 4y = 30 Slope = 1.500/2.000 = 0.750

 x-intercept = 30/3 = 10

 y-intercept = 30/-4 = 15/-2 = -7.50000

Notice that when x = 0 the value of y is 15/-2 so this line "cuts" the y axis at y=-7.50000

 y-intercept = 30/-4 = 15/-2  = -7.50000

y = 0 the value of x is 10/1 Our line therefore "cuts" the x axis at x=10.00000

 x-intercept = 30/3  =  10

Answer 2

Answer:

What is the best window range for the x-values to determine the solution?

x-min=-10, x-max = 15

What is the best window range for the y-values to determine the solution?

y-min= 0, y-max = 5

What is the exact solution to the system of equations?

(14, 3)


Related Questions

Maritza esta vendiendo una bicicleta seminueva que ya no utiliza. Como le costo doscientos soles, incluido IGV, ahora la venderá a veinte por ciento menos de lo que le costó. Deduce gráficamente el precio al que vendera Maritza la bicicleta y argumenta tu respuesta. ¿Cómo representarías el valor de venta de la biciclita?

Answers

Answer:

Ok, primero, como lo deducimos gráficamente?

Sigamos estos pasos.

Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.

200 soles representa el 100%.

Ella lo quiere vender al 80% (o le quiere restar el 20%).

Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.

Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)

Multiplicar eso por 8.

Esa cantidad es el equivalente al 80% del precio de la bicicleta.

Abajo hay un dibujo donde se ve el método.

Una forma mas matemática de resolverlo es:

200 soles = 100%.

x soles = 80%

x es el precio al que ella va a vender la bicicleta:

Veamos el cociente de esas dos ecuaciones:

200/x = 100%/80%

x = 200*(80%/100%) = 160

Ella vendería la bicicleta en 160 soles.

The choir and band at Thomas Junior high's sold cookie dough for their fundraiser The choir sold the cookie dough for $2 per bucket and decided to spend $4 on material to make posters for advertising.the band sold the cookie dough for $3 per bucket but did not advertise for many bucket of cookie dough, x, would both clubs have the same profit?​

Answers

Answer:

no.

Step-by-step explanation:

4.5+ (-4.5+ 2.6)
written by using the associative property

Answers

(4.5–4.5)+2.6 is the answer

W(-5,1) reflect it across x=-3

Answers

Answer:

(-1,1)

Step-by-step explanation:

Simplify this expression: ½k² + g - 3 + ½k² - 3 + 2g

Answers

Answer: k 2 + 3 g − 6

hope this helps

Express x in terms of y:
3(x + 2y) = 2x = 5y

Answers

Answer:

-6y=x

Step-by-step explanation:

3x+6y=2x=5y

Subtract 5y from all

3x+y=2x-5y

subtract y and 2x from both sides

x=-6y

I’ll give brainliest

Answers

Answer:

B

Step-by-step explanation:

We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.

We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.

Thus, the answer is B.

~ an aesthetics lover

Determine if the equations are parallel, perpendicular, or neither.
5x + 3y = 3 and 3x + 5y = -25

Answers

Answer:

neither i think..

Step-by-step explanation:

Answer:

niether

Step-by-step explanation:

Help me out pleaseeeee

Answers

Pretty sure it C might be wrong but that’s my best guess good luck


I don’t understand please help

Answers

Answer:

yes it is i think don't sew meh if im wrong

Step-by-step explanation:

Help I need help on this question

Answers

Answer:

1/3 is the y intercept

Step-by-step explanation:

f(x) = -2/9x + 1/3

This is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-2/9 is the slope and 1/3 is the y intercept

1. What is 10% of 75?

Answers

Answer:

7.5

Step-by-step explanation:

i hope this helps!!

Isabel offers to buy a team photo for 8 of her teammates,
but 2 of them don't want one.
If a team photo costs $5, how much will Isabel spend on her teammates?
Choose the correct expression and solution to this problem.

Answers

Answer:

30

Step-by-step explanation:

because 8-2= 6

now multiply 6*5 and you get 30

Is the expression |-3|+ 4 equal to |-3 + 4| ? Justify your answer.

Answers

Answer:

Yes

Step-by-step explanation:

Absolute value keeps a number positive so, the 2 equations both equal 7.

What is the equation of the line that is parallel to the the line y-1 =4 (x+3) and passes through th point (4,32)

Answers

I used Symbolab to calculate my answer. It is y=4x + 16.

Calculation of slope: y-1=4(x+3) m= 4 and b=16

The rectangle below has an area of 6n^4+20n^3+14n^26n 4 +20n 3 +14n 2 6, n, start superscript, 4, end superscript, plus, 20, n, cubed, plus, 14, n, squared. The width of the rectangle is equal to the greatest common monomial factor of 6n^4, 20n^3,6n 4 ,20n 3 ,6, n, start superscript, 4, end superscript, comma, 20, n, cubed, comma and 14n^214n 2 14, n, squared. What is the length and width of the rectangle?

Answers

Given:

Area of rectangle = [tex]6n^4+20n^3+14n^2[/tex]

Width of the rectangle is equal to the greatest common monomial factor of [tex]6n^4, 20n^3,14n^2[/tex].

To find:

Length and width of the rectangle.

Solution:

Width of the rectangle is equal to the greatest common monomial factor of [tex]6n^4, 20n^3,14n^2[/tex] is

[tex]6n^4=2\times 3\times n\times n\times n\times n[/tex]

[tex]20n^3=2\times 2\times 5\times n\times n\times n[/tex]

[tex]14n^2=2\times 7\times n\times n[/tex]

Now,

[tex]GCF(6n^4, 20n^3,14n^2)=2\times n\times n=2n^2[/tex]

So, width of the rectangle is [tex]2n^2[/tex].

Area of rectangle is

[tex]Area=6n^4+20n^3+14n^2[/tex]

Taking out GCF, we get

[tex]Area=2n^2(3n^2+10n+7)[/tex]

We know that, area of a rectangle is the product of its length and width.

Since, width of the rectangle is [tex]2n^2[/tex], therefore length of the rectangle is [tex](3n^2+10n+7)[/tex].

I figured iut the greatest power which is 5, and the difference for the function which is 10. but my questions are.
12.) what is the "a" value for the function in the chart?
13.) what is the equation for the function above?​
please explain work

Answers

Answer:

12) a = 5

Step-by-step explanation:

a is found by dividing the second difference by 2.

10 = 2a

5   = a

Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minutesYellow line6 minutes All three trains just arrived at the station. When will they next all arrive at the station at the same time? They will all arrive at the station in minutes.

Answers

Answer:

60 minutes

Step-by-step explanation:

Given the schedule above :

Red line arrives every 4 minutes

Blue line arrives every 5 minutes

Yellow line arrives every 6 minutes

All three just arrives at the train station ; when next will they all arrive at the train station at the same time.

Obtain the lowest common multiple of each arrov time :

Lowest common multiple of 4, 5, 6

_2___4___5___6

_2___2___5___3

_3___1___ 5 __ 3

_5___1___ 5 __ 1

_____1 ___1 ___1

Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60

Hemce, they all arrive at the train station at the same time after 60 minutes

I really need help..

Thanks!​

Answers

$54 morning $60.75 afternoon. So $114.75 all together. Rounded to $100

DO
BIG IDEAS MATH
DDD
Course 2: FL 2015 > Chapter 2: Subtracting Rational Numbers > Section Exercises 2.3 Exercise 23
A new road that connects Uniontown to Springville is 4 miles long. What is the change in distance when us
number
Springville
new road
Uniontown
23
mi

Answers

Answer:

19 miles

Step-by-step explanation:

Length of new road - Length of old road = Change in length = 23 - 4 = 19

two plus two plus four??

Answers

Answer:

8 lol

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Add from left to right 2+2=4 and then add 4+4 and you get 8

hey lol i need help with this plz

Answers

Answer:

The first line shows the solutions to n > 0.

The open circle and shaded part after the 0 indicate that n > 0 is represented by the first line.

Answer:

It's the first one aka A.

Step-by-step explanation:

It's the first one bc it shows greater than. The second one shows n is = to or greater, 3rd one shows less than, and last one shows = to or lesser. So in other words, the correct answer would be A.

a=24
C=26
What is the length of b?

Answers

Answer:

10

Step-by-step explanation:

you use the Pythagorean theorem which you do 24^2 + b^2 = 26^2 you should have 576+b^2=676 then subtract 576 on both sides b^2=100 then sqre root which leaves you with b=10

1 Select the correct answer. Which rate is equivalent to ? A. B. C. D.

Answers

Answer:

its d

Step-by-step explanation:

Hello, I need an answer for this.

Answers

Answer:

3.19 x 10^6 kilometers

Step-by-step explanation:

depth of water in a swimming pool decreases by 1/8 inch per day do to evaporation no water is added to the pool for a two week. What is the total change in depth of the water during this time period?

Answers

Answer:

7/4

Step-by-step explanation:

its 7/8 because if it goes down 1/8 each day count that for 2 weeks which is 14 days so it would be 14/8 or 7/4

HOPED THIS HELPED!!!!!!! :D

The total change in depth of the water during this time period is 7/4 in

What is subtraction?

To subtract means to take away from a group or a number of things.

Given that, the depth of water in a swimming pool decreases by 1/8 inch per day do to evaporation, no water is added to the pool for a two week.

The reduce in the pool in 1 day is 1/8 inch.

So, for 2 weeks, it's 14 days, therefore, in 14 days it will reduce = 1/8x14 = 7/4 in

Hence, The total change in depth of the water during this time period is 7/4 in

For more references on subtraction, click;

https://brainly.com/question/2346316

#SPJ2

me pueden ayudar es urgente!!!!​
es de monomios

Answers

Answer:

Step-by-step explanation:

4.2) 2z² - 3z² = -z²

8x - x = 7x

4.3)  3x² - 4x²  = (3 -4)x² = -x²

    4z² - 3z²  = (4- 3)z² = z²

z² - 2z² = (1 - 2)z² = -z²

3x - x = 2x

Cannot be subtracted.

3y² - 3y² = 0

4.3) 2xy - x y                =  xy

      x²y² - 4x²y²           = -3x²y²

     x - y                        = /

   2x²y² - 6x²y²            = -4x²y²

  4xy  - 2xy                  = 2xy

4.4)  5xy - xy   = 4xy

       x²y² - 3x²y²  = -2x²y²

     3x³y - 2yx³  = x³y

Slope -2/3 , x-intercept at 3

Answers

Answer:

Y=(-3)x+6

Step-by-step explanation:

12. Which of the following numbers is largest?
(a) 1.099
(b) 1.11
©). 1.106
(d) 0.99
(e) 1.009
Please show the work

Answers

I think the answer is B

In a bag full of beans and rice, the ratio by weight of beans to rice is 2 to 9. If the bag has a total weight of 3 kilograms, how many kilograms of beans are there in the bag? (round to nearest thousandths)

Answers

Answer: 0.667 kilograms

Step-by-step explanation:

From the question, we are informed that in a bag full of beans and rice, the ratio by weight of beans to rice is 2 to 9.

If the bag has a total weight of 3 kilograms, the amount of kilograms of beans that are there in the bag will be:

= 3/9 × 2 kilograms

= 6/9 kilogram

= 0.667 kilograms

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