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

A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Explain?

Answers

Answer:

.95-1.05

Step-by-step explanation:

you are able to go above 0.05 or below 1 by 0.05

since it's 95% of 1

Answer:

.05

Step-by-step explanation:

It's simple really. It's finding 5% of 1.

First you change the percent to a decimal. 5%= .05

Next you multiply .05 times 1 which is obviously 1. :)

Which point represents (5,-3) on the graph?

Answers

Answer:

Point D

because you go 5 to the right and 3 down.

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Can someone answer this for me?

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When you divide 6.5 by 2.5, you get 2.6. So, multiply 5.2 and 2.6 to get y=13.52!

is this a function or not?

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Answer: yes

Step-by-step explanation:

The x value does not repeat itself

GEOMETRY/EASY PROBABILITY, urgent!

Answers

Answer:

2/7, 3/7

Step-by-step explanation:

Total outcomes=7

No. 6 outcomes=2

P(E)= Favourable outcomes/total outcomes

    =2/7

Total even no.= 3

∴ P(E)= 3/7

Mark me as brainliest

If m<5=63°, find the measure of <3.

Answers

Answer:

angle 3's measurement should be 117 degrees

hope this helps :)

The measure of angle 3 is 117 degrees.

Calculation of an angle:

In terms of geometry, an angle refers to the figure i.e. credited by two rays that should be met out at a common endpoint. An angle should be presented by the symbol ∠.

Since the angle 5 is 63 degrees

and, the total of two angles is 180 degrees

So, the angle 3 is

= 180 - 63

= 117 degrees

hence, The measure of angle 3 is 117 degrees.

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Which graph represents the function f(x) = |x|-4?

Answers

Answer:

Which graph represents the function f(x) = 4|x|?

B is the correct answer

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Edg2021

Write f as a product of three linear factors. f(x) = x3 -3x2 + 2x - 6

Answers

Answer: f(x)= x8

Step-by-step explanation: f(x)= x3 - (-6) + -4x/ f(x)= 2x - x3 = x8

which of these is correct? will give brainliest C:

Answers

Answer:

$7.50/lb    answer A is correct

Step-by-step explanation:

Find the unit cost:  $ per pound:

 Calculate

      $3.00

--------------------

   (2/5) lb

It's slightly easier to calculate the equivalent

 $3.00

------------- = $7.50/lb    answer A is correct

 0.4 lb

Answer: D. $1.20 per pound

Step-by-step explanation:

Because 2/5= 0.4 in a decimal form.

If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).

1.20= 1.2

a class has the same number of girls and boys only 8 boys were absent on a particular day and then the number of girls was double the number of boys what is the number of boys and girls​

Answers

The answer would be 32

If a=2, b=-3 and c=4, evaluate: b(a-c)^2

Answers

the answer is 36
if you substitute the numbers in, the equation would be..

-3(2-4)^2 so
2-4 is -2
-3 x -2 = 6
and 6^ is the same thing as 6 x 6
so 6^2= 36

please help!! i need math help loll

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

3 * 3 * 3 = 27

Hope this helps and pls do mark me brainliest if you can:)

The function y = 0.752 +4.75 represents the cost y (in dollars) of a bowl of soup with a bread sticks. You can buy 0, 1, 2, or 3 bread sticks.
Identify the independent and dependent variables, the domain, and the range.

Answers

Answer:

Answer in explanation

Step-by-step explanation:

y = 0.752x + 4.75

The independent variable will refer to what we have on the horizontal axis which is x. It is from these x we will get the values of the y

The dependent variable is the other variable asides the independent, in this case, the dependent variable is y

When we talk of the domain, we talk of the range of values from the independent variable axis

Here, these values are 0,1,2 or 3

Lastly, the domain refers to the range of values on the y-axis

To get this, we need to input the x-values digit into the equation one after the other

At x = 0

y = 4.75

At x = 1

y = 0.752 + 4.75 = 5.502

At x = 2

y = (0.752)2 + 4.75 = 6.254

At x = 3

y = 0.752(3) + 4.75

= 7.006

The range of values is between 4.75 and 7.006

is 27/2 a rational number?
HELP!

Answers

Yes it is a rational number.

Plz help :( I don’t understand

Answers

PLEASE MARK AS BRAINLIST

Answer:

1. 2x-20+2x-15=13

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What is the solution of the equation x2=64

Answers

The answer for the equation is x=32

A local supermarket sells shrimp $9.49/lb and beef for $5.99/lb Todd buys s pounds of shrimp and b pounds of beef. Which of the following inequalities represents that Sandy only has $65 to spend?

Answers

Answer: 9.49s + 5.99b ≤ 65

Plz mark brainliest:)

The table shows the number of cups of liquid and the number of smoothies made.

Cups of Liquid 2 6 8 12
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Select one:

5 cups

2.5 cups

2 cups

10 cups

Answers

Answer:

2.5 cups

Step-by-step explanation:

In a sequence of numbers, a3=0, a4=4, a5=8, a6=12, and a7=16. Based on this information, which equation can be used to find the nth term in the sequence, an?

an=4n−12
A sub n is equal to 4 n minus 12

an=−12n+4
A sub n is equal to negative 12 n plus 4

an=−4n+12
A sub n is equal to negative 4 n plus 12,

an=12n−4

Answers

Answer:

an=−4n+12

A sub n is equal to negative 4 n plus 12,

Step-by-step explanation:

please help ASAP i don't understand what to do

Answers

Answer:

Range is (-5,5)

Step-by-step explanation:

It is the range of y values for the graph

Range is (-5,5).........

Someone help please. Its algebra 1.

Select the equation of a line in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3.

A. y= -2x +2
B. y= -2x -2
C. y= 1/2x -2
D. y= 1/2x +2​

Answers

Answer:

B

Step-by-step explanation:

the line is perpendicular to y=1/2x-3

so its gradient, m, would be -2 (m¹m²= -1)

sub the coordinates and the gradient into this equation to find the equation of line in slope intercept form

y-y¹ = m(x-x¹)

The equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Point (-2,2)

Then the equation of a line perpendicular to the graph of y= 1/2x-3.

its gradient, m, would be; -2 (m¹m²= -1)

Now Write the equation as;

y-y₁ = m(x-x₁)

y - 2= -2(x + 2)

y = -2x - 2

Hence, the equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

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Claire is decorating a card for her friend. She has a square piece of paper with an area of 36 square inches. She wants to put ribbon around the edges of the paper. Find the amount of ribbon she needs to out around the edges of the paper

24 inches
16 inches
32 inches
40 inches

Answers

Answer:

yes indeed

Step-by-step explanation:

I believe it’s 24 inches or 16 inches

Solve the system of equations below. 3/+4,/9-12 = 17 2v1 +3,11+52 = 18 -V5-VT-12 = -6​

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Answer: -6 You answered your own question-

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Answers

all except for the third option are correct

Which equations are equal to A= 1/2bh?
Options: A. b= 2A/h
B. b= A/2h
C. h= (1/2) A/b
D. h= 2A/b

Answers

Option A is the correct answer.

A= 1/2 bh
Take 2 to the other side,
2A= bh
Now take h to the other side,
2A/h= b

6 inches for every horizontal change of 12 inches

Answers

skjsjskskskkskskskksskksksksksksks

Area of dog crate
6 meters and 4 meters

Answers

Answer:

24 meters

Step-by-step explanation:

L × W = A6 × 4 = 24 meters

I hope this helps!

Answer:

24 meters

Step-by-step explanation:

you do 6 times 4

An apple juice company produced 8.3 billion individual-size bottles of apple juice last year. If each bottle contains 355 milliliters of juice, how many milliliters of apple juice did the company produce?

Answers

Answer:

two trillion nine hundred forty-six billion five hundred million

The company produced 2946.5 billion milliliters.

What is multiplication?

Multiplication is a mathematical arithmetic operation.

The process of adding the same number many times is repeated addition.

Multiplication is a repeated addition.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Last year,

a company that makes apple juice produced 8.3 billion bottles of apple juice.

And 355 milliliters of juice occupied by each bottle.

then the company produced,

= 355 x 8.3 billion milliliters,

= 2946.5 billion milliliters.

Therefore, 2946.5 billion milliliters.

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Angela went to the farmers' market to buy some vegetables. She wanted some yellow squash and zucchini which were both on sale for $1.48 per pound. Angela bought 245 pounds of yellow squash and 3110 pounds of zucchini. To the nearest cent, what was the total cost of the vegetables?

Answers

Multiple both the numbers so 1.48*245
And 1.48*3110 and then add the numbers you got together 4,965.40 make sure those are the numbers for pounds

The total cost of 245 pounds of squash and 3110 pounds of zucchini is  $4965.4.

What is Unitary method?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The unit rate for squash and zucchini is $1.48 per pound.

In order to calculate the cost for 245 pounds of squash and 3110 pounds of zucchini unitary method can be used as follows,

The cost for 245 pounds of squash is 245 × 1.48 = $362.6

And, the cost for 245 pounds of squash is 3110× 1.48 = $4602.8.

Thus, the total cost is given as 4602.8 + 362.6 = $4965.4.

Hence, the total cost of vegetables at the given rate is $4965.4.

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i need help with this q7

Answers

Answer:

Yes, it is a proportional relationship!

Step-by-step explanation:

The graph is in a proportional relationship so the first one
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