Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.

Answers

Answer 1

Sample Response: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator’s window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.

Answer 2

For time efficiency and to get a more precise solution.

Why a graphing calculator is better than graphing by hand?

There are two reasons.

1) In a graphing calculator you only need to input the functions and that's all, it will graph the functions for you, so it needs a lot less time than graphing by hand.

2) When you graph by hand, there is a limit in how much of an exact solution you can get (and there may be a mistake if the line is to thick or something like that). While in a graphing calculator you can find the exact point where the graphs intersect, so you will get a more precise solution with a graphing calculator.

These are the two reasons why using a graphing calculator may be better than graphing by hand.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Related Questions

Which values of x will make the absolute value equation true?

|x – 4| = 7

A.
{–3, 3}
B.
{–3, 11}
C.
{–11, 11}
D.
no solution

Answers

Absolute value makes what ever is in those two vertical bars (like how x-4 is) positive. So even if what ends up coming out of those two bars is negative, it is changed to positive by the absolute value. That means x - 4 can equal -7 or 7 because after the absolute value is applied, it's will be made positive so it will equal the positive 7 on the right side of the equation. Let's solve:

x - 4 = 7 (add 4 to both sides to get x by itself)
x = 11 (one of the answers)

x - 4 = -7
x = -3 (other answer)

So the answer is { -3, 11 }

Let's check each answer choice
-----------------------------------------
Checking choice A
Plug in x = -3
|x-4| = 7
|-3-4| = 7 ... replace x with -3
|-7| = 7
7 = 7
We have a true equation so x = -3 works
--------------
Plug in x = 3
|x-4| = 7
|3-4| = 7 ... replace x with 3
|-1| = 7
1 = 7
The last equation is false so x = 3 is not a solution. We can cross choice A off the list.
-----------------------------------------
Checking choice B
We already checked x = -3 (see above in choice A). All we need to do is check x = 11
|x-4| = 7
|11-4| = 7 .... replace x with 11
|7| = 7
7 = 7
We have a true equation so x = 11 works
Since x = -3 and x = 11 work, this means we have the proper solution set {-3, 11}. So this means choice B is the final answer
-----------------------------------------
For the sake of completeness, let's check choice C.
Plug in x = -11
|x-4| = 7
|-11-4| = 7 ... replace x with -11
|-15| = 7
15 = 7
The last equation is false so choice C can be ruled out as well.
-----------------------------------------
We can cross choice D off the list since we found there is a solution set and it is {-3, 11} back in choice B.
-----------------------------------------
Let's say that we didn't have these answer choices and it was a fill in the blank type of problem. Here's how to find the two solutions
|x-4|=7
x-4=7 or x-4=-7 ...... break up the absolute value
x-4+4=7+4 or x-4+4=-7+4 .... add 4 to each side (for each equation)
x = 11 or x = -3
x = -3 or x = 11
So the solution set is {-3, 11}
-----------------------------------------
-----------------------------------------
Final Answer: Choice B) {-3, 11}

If m∠TRK equal 32.5°, what is m∠TSK?

Answers

The measure of angle TSK is 130°, because it is an inscribed angle that intercepts the same arc as angle TRK, and angle TRK is half the measure of the central angle that intercepts the same arc.

The correct answer is option C.

The center of the circle is S, and the measure of angle TRK is 32.5°. We want to find the measure of angle TSK.

We can use the following theorem to solve this problem:

Inscribed Angle Theorem: An inscribed angle is half the measure of the central angle that intercepts the same arc.

In other words, if an angle is inscribed in a circle and intercepts a certain arc, then the measure of that angle is half the measure of the central angle that intercepts the same arc.

In this problem, angle TRK is an inscribed angle that intercepts arc KT. Therefore, the measure of angle TRK is half the measure of the central angle that intercepts arc KT.

Let's call the central angle that intercepts arc KT θ. Since angle TRK measures 32.5°, we know that θ measures 32.5° * 2 = 65°.

Now, we can use the Inscribed Angle Theorem again to find the measure of angle TSK.

Angle TSK is an inscribed angle that intercepts arc KT, and the measure of the central angle that intercepts arc KT is 65°. Therefore, the measure of angle TSK is half the measure of the central angle that intercepts the same arc, which is 65° * 2 = 130°.

The measure of angle TSK is 130° making option C the correct option.

For more such information on: angle

https://brainly.com/question/25716982

#SPJ12

The question probable may be:

The center of the circle is S. Note: Figure not drawn to scale. If mangle TRK equal 32.5 ° , what is mangle TSK ? A. 32.5 ° B. 65 ° C. 130 ° D. 16.25 °

z varies directly with x^2 and inversely with y. When x = 2 and y = 4, z = 3. What is the value of z when x = 4 and y = 9?

Answers

Attached the solution and work.

Find the derivative of f(x) = 8x + 4 at x = 9

Answers

hmmmm well, it turns out that 8x + 4, is a linear function, and thus its slope is a constant, you don't quite need to get the derivative of it, since it's already in slope-intercept form and we know the slope is "8" anyway.

but its derivative will be [tex]\bf f(x)=8x+4\implies \left. \cfrac{dy}{dx}=8\right|_{x=9}\implies 8[/tex]

What is the perimeter of the figure?

A. 88 in.
B. 88 11/24 in.
C. 88 7/8 in.
D. 89 7/8 in.

Answers

B.
88 11/24 in
i believe that is your answer

the correct answer would be 89 7/8 by multiplying the 8 x2 we will have a common denom of 16 to add up our fractions. after that add up all while numbers and carry your extra from fractions you get 89 7/8 hope this helped!

How can you use doubles when multiplying with 4 to find 4x8

Answers

4 = 2 * 2

Multiplying by 2 is the same a doubling.
Since 4 is 2 * 2, to multiply a number by 4, double the number twice.

Example:
What is 4 * 100?
Double 100 to get 200.
Double 200 to get 400.
Therefore, 4 * 100 = 400.
By doubling twice, we do the same as multiplying by 4.

Which estimate best describes the area under the curve in square units?

10 units²

15 units²

25 units²

30 units²

Answers

I think any of those estimates are correct since we don't have a value for the width and length so acquiring the actual measurement its impossible. All possible answers are correctly written in square units.

Which function has a domain of x greater than equal to 5 and the range of y less than equal to 3?

A. y = root squared of x-5, +3

B. y = root squared of x+5, -3

C. y = - root squared of x-5, +3

D. y = - root squared of x+5, -3

Answers

Answer:

Option C is the answer.

Step-by-step explanation:

Option A. [tex]y=\sqrt{x-5}+3[/tex]

For domain of this function

(x - 5) ≥ 0

x ≥ 5

For range of the function

for every value of x ≥ 0

y ≥ 3

Opttion B. [tex]y=\sqrt{x+5}-3[/tex]

For Domain

(x + 5) ≥ 0

x ≥ (-5)

and for every value of x ≥ (-5) range of the function will be

y ≥ (-3)

Option C.

y = -√(x -5) + 3

For domain

x - 5 ≥ 0

x ≥ 5

For range

y ≤ 3

Option D. [tex]y=-\sqrt{x+5}-3[/tex]

For domain (x + 5) ≥ 0

x ≥ -5

For range

y ≤ (-3)

Therefore option C will be the answer.

Summarize the steps to orderly problem solving when dealing with a mathematical chemistry problem

Answers

There are various ways to go about this. One appropriate way is to: 1. Write down all key parameters with their corresponding units 2. Check for conversion factors required when parameters have incompatible units 3. Check if some chemical constants are needed to solve the problem. Also confirm if they are already provided in the question 4. Check for the appropriate and required accuracy of values 5. Write down the general formula required to solve the problem 6. Substitute the given parameter(s) and solve for the unknown parameter(s)

Question 2
Find the next term in this arithmetic sequence: 2/3, 2, 3 1/3, ____

4 2/3

3 2/3

4

4 1/3

Answers

The answer would be 3 2/3. Hope it works out!

Forty-eight pounds of sand are used to fill 12 bags. Miranda uses the five-step problem-solving plan. After completing the Solve step, how many pounds of sand should she find each bag will hold?

Answers

To find out how much sand is in each bag we need to divide the total number of sand from the total amount of bags Miranda had.

48 / 12 = 4

Each bag had 4 pounds of sand it can hold.

Answer with explanation:

According to the Five-pan strategy ,

Step 1 . Read given problemStep 2. Construct a plan to solve it.Step 3. Perform it.Step 4. Check answer.Step 5. Write final answer with statement.

For given problem :

Step 1. 48 pounds of sand are used to fill 12 bags.

To find : how many pounds of sand should she find each bag will hold?

Step 2. We need to divide the total amount of sand require to fill 12 bags by 12.

Step 3. Amount of sand require to fill one bag = (amount of sand require to fill 12 bags) ÷ 12

= (48) ÷ 12

= 4 pounds

Step 4. Checking our answer as

Amount of sand require to fill 12 bags = 12 x (Amount of sand require to fill one bag)

= 12 x 4 = 48 pounds which is given, thus our answer is correct.

Step 5. She should fill 4 pounds of sand in each bag.

The product of 3 and a number subtracted from 16 is 7. Find the number.

Answers

To find the number you should start by writing out an equation using x as the number you don't know. That would be 16-3x=7. You would start solving that equation by subtracting 16 from both sides, making the new equation -3x=-9. Finally, you would divide both sides by -3, giving you the answer of x=3.

Determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither.

Answers

Determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither.

reflection in the x

From the graph, it is obtained that there is a reflection on the x-axis.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is obtained that, the x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse. The x-axis' reflection of point (x, y) is (x, -y).

The new reflected graph's reflection equation will be y=f(x) y = f (x) given an equation of the form y=−f(x) y = − f ( x ). To put it another way, the function may be simply multiplied by 1, which results in a curve that is mirrored across the x-axis.

Thus, from the graph, it is obtained that there is a reflection on the x-axis.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

The distance between two cities on a map is 13 cm. What is the actual distance between the cities if the map is drawn at a scale of 1:50,000?

Answers

If the scale is 1 cm to 50,000, you would do 13 * 50,000. That would get you 650,000. I'm sorry if this is incorrect but i hope it helps.

Answer:

6.5 km

Step-by-step explanation:

1:50,000

13 cm on a map, multiply both sides by 13 which leaves us with:

13:650,000

However, we need to calculate the distance in kilometers, not centimeters. To do that, we have to divide 650,000 by 100,000 which leaves us with 6.5 km

You and a friend are looking for an apartment. There are two final choices. Apartment A has a $1000 security deposit and costs $1200 each month. Apartment B has a $1500 and costs $1175 each month. How many months, m, will it take for the costs to be the same?

Answers

1000+1200m=1500+1175m
1200m=500+1175m
25m=500
m=20 months

The required months are x = 0.60 months where at the cost become same.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the total cost be y and the month be x
Apartment A has a $1000 security deposit and costs $1200 each month.
y = 1200x +1000 - - - - - (1)
Apartment B has $1500 and costs $1175 each month.
y = 1175x + 1500
From equation 1
1200x + 1000 = 1175x + 1500

1200x - 1175x = 500
825x = 500
x = 500 / 825
x = 0.60 months,
y = 1200*0.60 + 1000
y = 1,720

Thus, the required months are x = 0.60 months where the cost becomes the same.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Find two consecutive integers whose product is 5 less than the square of the smaller number

Answers

The product of -5 and -4 is 20
The square of the smaller number, -5, is 25.
The product, 20, is indeed 5 less than 25, the square of the smaller number.

Final answer:

To find two consecutive integers whose product is 5 less than the square of the smaller number, let the smaller number be x and use algebraic equations to solve for x.

Explanation:

To find two consecutive integers whose product is 5 less than the square of the smaller number, we can let the smaller number be x. The larger number would then be x + 1. The product of the two consecutive integers is x(x + 1) and the square of the smaller number is x^2. According to the problem, x(x + 1) = x^2 - 5. We can solve this equation to find the values of x and x + 1.

Expanding x(x + 1) gives us x^2 + x. So, the equation becomes x^2 + x = x^2 - 5. We can simplify this equation by canceling out x^2 on both sides, which leaves us with x = -5.

So the consecutive integers are -5 and -4.

Learn more about Consecutive Integers here:

https://brainly.com/question/35707212

#SPJ2

He sells packets of sweet-pepper seeds for $2.48 each and packets of hot-pepper seeds for $4.56 each. he also offers a 16-packet mixed pepper assortment combining packets of both types of seeds at $3.65 per paket. how many packets of each type of seed are in the assortment

Answers

There are 7 sweet pepper seeds and 9 hot pepper seeds

A pilot flies 640 miles with a tail wind of 35 miles per hour. Against the wind, he flies only 455 miles in the same amount of time. Find the rate of the plain in still air

Answers

recall your d = rt, distance = rate * time.

so, we know the wind rate is 35mph.

when the pilot goes with it, it runs for say "t" hours and covers 640 miles.

when he goes against it, it runs for say also "t" hours, covering 455 miles only.

now, let's say the still air speed of the plane is "r", so when it goes with the wind, is not really going "r" mph, is really going "r + 35", because the wind is adding speed.

likewise, when it goes against it, the speed is not "r" but "r - 35", the wind is slowing it down.

[tex]\bf \begin{array}{lcccll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\ &------&------&------\\ \textit{with wind}&640&r+35&t\\ \textit{against the wind}&455&r-35&t \end{array} \\\\\\ \begin{cases} 640=t(r+35)\implies \cfrac{640}{r+35}=\boxed{t}\\\\ 455=t(r-35)\\ ----------\\ 455=\left( \boxed{\frac{640}{r+35}} \right)(r-35) \end{cases}[/tex]

[tex]\bf 455(r+35)=640(r-35)\implies 455r+15925=640r-22400 \\\\\\ 38325=185r\implies \cfrac{38325}{185}=r\implies \cfrac{7665}{37}=r\implies 207\frac{6}{37}=r[/tex]

Renee is a sales associate at a store . She earns 80$ a week plus 15% commission on her sales. Last week she sold 200$ worth of items . What is the total amount she earned for the week? How much did she earn from commission

Answers

She earn for the commission $110

What is the solution set for the open sentence with the given replacement set?
2t-t=0,{1,2,3,4}
A. Null set
B. 2
C. 3
D. 4

Answers

Answer is choice A, the null set

This is another way of saying "the empty set" which is the set of nothing inside it. It's a fancy mathematical way of saying "no solutions" in terms of the given restrictions placed upon us.

-----------------------------------------------
-----------------------------------------------
Let's check every value in the replacement set. All we do is go through each number one at a time

Checking t = 1
2t - t = 0
2*1 - 1 = 0 ... replace every t with 1
2 - 1 = 0
1 = 0
The last equation is false so we can cross t=1 off the list
-----------------------------------------------
Checking t = 2
2t - t = 0
2*2 - 2 = 0 ... replace every t with 2
4 - 2 = 0
2 = 0
The last equation is false so we can cross t=2 off the list
-----------------------------------------------
Checking t = 3
2t - t = 0
2*3 - 3 = 0 ... replace every t with 3
6 - 3 = 0
3 = 0
The last equation is false so we can cross t=3 off the list
-----------------------------------------------
Checking t = 4
2t - t = 0
2*4 - 4 = 0 ... replace every t with 4
8 - 4 = 0
4 = 0
The last equation is false so we can cross t=4 off the list
-----------------------------------------------
We've crossed everything off the list. So there are no solutions indicating the solution set is the null set or empty set.

Side Note: if t = 0 were in the replacement set, then we'd have a solution. However that isn't the case here.

An open sentence is a mathematical sentence that has an unknown.

The solution set for t is (a) Null set

The equation is given as:

[tex]\mathbf{2t - t = 0}[/tex]

The set is given as:

[tex]\mathbf{\{1,2,3,4\}}[/tex]

First, we solve for t in: [tex]\mathbf{2t - t = 0}[/tex]

[tex]\mathbf{t = 0}[/tex]

The above equation implies that, the value of t is 0

0 is not represented in the given set, [tex]\mathbf{\{1,2,3,4\}}[/tex]

Hence, the solution set for t is (a) Null set

Answers

Frank bowled a total of 12 frames
You just divide 48 divided by 4 = 12
It also says "every" so you know to divide

Susie's sushi place two orders with its fish supplier one order was for 15 lb of salmon and 8 lb of tuna the order total $228 the other order was for 12 lb of salmon and 6 lb of tuna this ordered total for 180 what is the cost for 1 lb of salmon in 1 lb of tuna

Answers

I will set it up and you finish. This is a system of linear equations in two variables.

Let s = 1 pound of salmon

Let t = 1 pound of tuna

15s + 8t = 228
12s + 6t = 180

Solve this system of equations for s and t to find your answer.

Consider the function y = x^2 − 18x. Enter the values for the variables to complete the inverse

Answers

Given the equation:

y = x^2 – 18x

Rewrite in vertex form:

y = x^2 – 18x + (18/2)^2 – (18/2)^2

y = (x – 9)^2 – 81

Swap x and y:

x = (y – 9)^2 – 81

Solve for y:

x + 81 = (y – 9)^2

y – 9 = sqrt (x + 81)

y = sqrt (x + 81) + 9

y = (x + 81)^(1/2) + 9

Evi what to make to pottery she needs 3/5 pounds of clay for one piece and 7/10 Pound of clay for the other piece she has three bags of clay that wiegh 4/5 pound each.how many bags of clay will Eva need to make both pieces of pottery?How many pounds of clay will she have left over ?

Answers

The answer is 1.1 hope this helps.

4a-3b=21 true or false

Answers

True,
4a - 3b
4(6) - 3(1)
24 - 3 = 21

how do you do this system using the equal values method?

Answers

To use the equal values method, we want to get both of these equations equal to the same thing, and then set them equal to each other. To do this, let's solve both for x:
[tex]x+2y=14[/tex]
[tex]x=14-2y[/tex]

For the second equation:
[tex]-x+3y=26[/tex]
[tex]-x=26-3y[/tex]
[tex]x=3y-26[/tex]

Then if we set these two equal to each other:
[tex]3y-26=14-2y[/tex]
[tex]5y-26=14[/tex]
[tex]5y=40[/tex]
[tex]y=8[/tex]

Then we take this y value and plug it back into either of our starting equations. I'll use the first one as an example:
[tex]x+2(8)=14[/tex]

Now just solve for x and you'll have your solution.

The formula for finding the length of an arc on a circle is L=2πr(x360) , where r is the radius of the circle and x is the measure of the central angle of the arc. Solve for x.

Answers

Final answer:

To solve for the measure of the central angle (x) in the arc length formula, rearrange the formula such that [tex]x = (L/2\pi r) * 360.[/tex] This method allows you to determine the degree measure of the arc once you know the arc length (L) and the radius (r) of the circle.

Explanation:

Given that the formula for finding the length of an arc in a circle is [tex]L=2\pi r(x/360)[/tex], you can solve for x if L and r are known. In this formula, r stands for the radius of the circle and x represents the measure of the central angle of the arc in degrees. So, to isolate x, you would need to rearrange the formula, giving us: [tex]x = (L/2\pi r) * 360.[/tex]

This effectively means that the degree measure of the arc (x) is equivalent to the ratio of the arc length to the circumference (which is 2πr) times 360 degrees.

For instance, let's consider a circle where r=5 and the arc length L has a value of 10 units. We would substitute these values into our newly rearranged formula thus: [tex]x = (10/2\pi *5) * 360 = 36[/tex] degrees. This tells us that the central angle for this particular arc on a circle with a radius of 5 units is 36 degrees.

Learn more about Arc Length and Central Angle here:

https://brainly.com/question/30818451

#SPJ12

Help please I don't get it...........

Answers

Answer: Choice D) the y intercept is (0,1)

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

Going through each answer choice, we find...

A. False. The graph is always decreasing (see attached image). The curve slopes downhill as you read it from left to right.

B. False. Negative x values are allowed. Also, x = 0 is allowed.

C. False. The proper range is y > 0

D. True. Plugging in x = 0 leads to f(x) = 1. The graph in the attached image confirms this answer. The red curve crosses the vertical y axis at 1, which is the point (0,1) the y intercept in this case.

A color printer prints 9 pages in 3 minutes. how many minutes does it take per page

Answers

9 ÷ 3 = 3
3 pages per min
3/60 seconds = .05 seconds
.05 s/ 60 = 0.00083333 min per pg.

Final answer:

To calculate time per page, divide the total printing time by the number of pages. A printer that prints 9 pages in 3 minutes takes approximately 0.333 minutes (or 20 seconds) to print one page.

Explanation:

The question is asking us to calculate the time it takes for a color printer to print one single page. To find this, we need to divide the total time taken to print multiple pages by the number of pages printed. So, if a printer prints 9 pages in 3 minutes, we can calculate the time per page as follows:

First, identify the total time taken for printing multiple pages, which is 3 minutes for 9 pages.

Divide the total minutes by the number of pages to get the time per page. In this instance, it would be 3 minutes ÷ 9 pages.

Perform the division to find the time it takes to print one page. 3 minutes ÷ 9 pages = 0.333... minutes per page.

Therefore, it takes approximately 0.333 minutes (or 20 seconds) for the color printer to print one page.

Find the new amount given the original amount and the percent of change. $5; 10% increase

Answers

your answer would be 5.29 best one

Other Questions

When a law is passed that requires businesses to obtain permission from government officials in order to enter a market, this is an example of? In his study of everyday "body rituals among the nacirema," horace miner: By comparing the molecular structure of catechol and hydroquinone, determine what actually influences the specificity of catechol oxidase? Solve the equation. How old is Sam?Sam's age doubled plus 5 is the same as Sam's age tripled minus 1. Question 5 options:Sam is 6yrs old.Sam is 4 yrs old.Sam is 12 yrs old.Sam is 5 yrs old.\\@Mochimin Which of the following statements best characterizes the English colony of Roanoke? Which of these sentences, taken from a personal narrative about Christopher Columbus, MOST needs to be revised to make it more formal? A)This idea - this human condition - has existed for thousands of years and seems almost universal. B)In the same way, we tend to develop a history for ourselves in which we always view ourselves in a positive light. C)After a short stop at the Canary Islands to resupply and make minor repairs, the ships set out across the Atlantic. D)Most people figured that Columbus discovered America, made friends with the Indians, and then told everyone else about this land. List at least 4 ways that Americans sacrificed for the war effort What developments and events drew the Union toward Civil War Is milkshake a solution or a mixture. Which BEST describes the construction of a triangle if given one side length of 10 cm and one right angle? A) Unique triangle B) More than one triangle C) Triangle not possible D) Cannot be determined A 9 m3 container is filled with 300 kg of r-134a at 10c. what is the specific enthalpy (kj/kg) of the r-134a in the container? (4 significant figures) A farmer has 212 acres of land for sale.He divides the land into 18 equal sections.About how many acres are in each section? Which numbers are a distance of 3 units from 12 on a number line?Select each correct answer.31509915 Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 100. How many minutes would it take the printer to use all 100 sheets of paper? After the same car leaves the platform, gravity causes it to accelerate downward at a rate of 9.8 m/s2. What is the gravitational force on the car? what phase are daughter cells in as a result of mitosis what bank usually provides online banking options HELP PLEASE ASAP!BRAINLIESTTTTTTTTTTTTT A rectangle has one side on the xx-axis and two vertices on the curve y=74+x2. y=74+x2. find the vertices of the rectangle with maximum area. Life is like a box of chocolates meaning Steam Workshop Downloader