In what way are graphs of systems of linear equations useful?

Answers

Answer 1

Answer:

The graphs of equations within a system can tell you how many solutions exist for that system. Look at the images below. Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations.

It is very useful because we use Linear equations in our everyday life. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph.

The real importance of emphasizing graphing linear equations with your students, is that they should already know that any two points determine a line, so finding many pairs of values that satisfy a linear equation is easy: Find two pairs of values and draw a line through the points they describe.


Related Questions

1. The radius of a circle is 10 inches. What is the Circumference? Round to the nearest tenth.

Answers

Answer:

62.83 inches

Step-by-step explanation:

The circumference of a circle with a radius of 10 is 62.83.

Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran's house is slightly closer to school than Clare's house. On a graph, their distance from their homes in meters is a function of the time from when they begin the race in seconds.

As you read the graphs left to right, would the lines go up or down?
What is different about the lines representing Kiran's run and Clare's run?
What is the same about the lines representing Kiran's run and Clare's run?

Answers

Answer:

1. Down.

2. Clare's line would be higher because she begun further away from her house.

3. The lines would have the same slope since they are going the same speed.

Step-by-step explanation:

can any one figure this out plz

Answers

Answer:

(a)(b)=0.45

a/b=0.8

Step-by-step explanation:

a=0.6

b=0.75

(a)(b)=(0.6)(0.75)=0.45

a/b=0.6/0.75=0.8

Answer:

a*b =  0.5

a/b =  0.888...

Step-by-step explanation:

0.6666... = 2/3

a*b = 2/3 * 3/4 = 1/2 = 0.5

a/b = (2/3) / (3/4) = 8/9 = 0.888...

In \triangle UVW,△UVW, \overline{UV}\cong \overline{WU}
UV

WU
and \text{m}\angle W = 31^{\circ}.m∠W=31

. Find \text{m}\angle U.m∠U

Answers

Answer:

Hi how are you doing today Jasmine

In triangle UVW, If m∠U = m∠W of a triangles then m∠U = 74.5° when m∠W=31°

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The sum of all angles of a triangles should be equal to 180 degrees

Given that the angles opposite UV and VW are congruent.

So ΔUVW is an isosceles triangle.

Which is nothing but m∠U = m∠W

Since the measures of the angles of a triangle have a sum of 180, then

m∠U + m∠W + m∠V = 180

m∠U + m∠U + 31 = 180

Subtract 31 from both sides

2 m∠U = 180-31

2 m∠U =149

Divide both sides by 2

m∠U =74.5°

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Each circle counts as one whole, Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.​

Answers

Answer:

[tex]2 \frac{2}{5} [/tex]

[tex] \frac{12}{5} [/tex]

Step-by-step explanation:

As a mixed fraction, There are 3 circles with 5 pieces in each so our denominator will be 5

The number that is shaded is 2 whole circles so that is 10 and 2 out of 5 of last one.

The whole number is 2 and the fraction for the last circle is 2/5 so our mixed number is

[tex]2 \frac{2}{5} [/tex]

Now to find the improper fraction turn 2 into a fraction with 5 as a denominator.

[tex] \frac{2}{1} \times \frac{5}{5} [/tex]

Which equal

[tex] \frac{10}{5} [/tex]

Then add 2/5 to 10/5

[tex] \frac{10}{5} + \frac{2}{5} = \frac{12}{5} [/tex]

What is the first step to solve for 7 − 4 = 18? *


A. Add -7 on both sides of the equation

B. Add 7 on both sides of the equation.

C. Multiply -4 on both sides of the equation.

D. Multiply on both sides of the equation.​

Answers

A is the best answer

Which expression is equivalent to 2(5 – 3x)? 10 - 5x B B) 10 - 6x 0 7 - 5x D) 7 - 6x​

Answers

Answer:

B) 10-6x is the answer ...

What does the caste system stand for?

Answers

A caste system is a class structure that is determined by birth. Loosely, it means that in some societies, if your parents are poor, you're going to be poor too. The same goes for the rich.

please helo my screenshot below

Answers

Answer:

0.0451

Step-by-step explanation:

Answer:

451/10000 or 0.0451 in decimal form

Step-by-step explanation:

Hope this helps :)

Please answer this correctly without making mistakes

Answers

Answer:-111

and -99

Step-by-step explanation:

Answer:

-111 and -99 ( in order)

Step-by-step explanation:

Have a great day!

Find the values of x and y in the diagram. ​

Answers

Answers:

x = 18

y = 6

==========================================================

Explanation:

Focus on triangle TRS. This triangle has congruent base angles as shown by the double arcs. This means that the sides opposite these angles (TR and RS) are congruent. So TR = RS.

Because RS = 11, this makes TR = 11 too.

Now move onto triangle UTR. This triangle is equilateral because each angle is the same measure (each angle being 60 degrees).

So UT and TR are the same length, and,

UT = TR

x-7 = 11

x-7+7 = 11+7

x = 18

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

Since every angle of triangle UTR is 60 degrees, this makes angle URT 60 degrees and angle TRS to be 180-60 = 120 degrees.

Move back to triangle TRS. We have these interior angles:

R = 120T = 5yS = 5y

For any triangle, the interior angles always add to 180

R+T+S = 180

120+5y+5y = 180

10y+120 = 180

10y = 180-120

10y = 60

y = 60/10

y = 6

Mathematics Question,

Answers

Answer:

put a line straight through the middle of the angle

Step-by-step explanation:

Answer:

A line through the center of the angle

Step-by-step explanation:

The "angle bisector" is a line that will cut the angle perfectly in half.

A rectangle has a length of (5x+2) and a width of (3x-7). Find the perimeter of the rectangle.

Answers

Answer:

Perimeter = 2(5x-2)+2(3x-7)

Step-by-step explanation:

The perimeter (P) of any rectangle can be represented in terms of length (L) and width (W) with the equation P=2L+2W.

You multiply the length and width of the rectangle by two, since it's only giving one expression for the length and width.

Hope this helps!

please help me ASAP!!!

Answers

Answer:

z = -3/2 , z = -1/2

Step-by-step explanation:

Given:

7z² + 8z + 3 = 3z²

Find:

Values of z

Computation:

7z² + 8z + 3 = 3z²

7z² + 8z + 3 - 3z² = 0

4z²+ 8z + 3 = 0

4z²+ (6+2)z + 3 = 0

4z²+ 6z + 2z + 3 = 0

2z(2z + 3) + 1(2z + 3) = 0

(2z + 3)(2z + 1) = 0

So,

z = -3/2 , z = -1/2

Is this non linear or linear sorry i couldn't fit the whole thing​

Answers

linear.. as x increases by one, y increases by one

what is the value of 3-6(z-2) if z=-2

Answers

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3 - 6(z - 2)

z = -2

Step 2: Evaluate

Substitute in z:                   3 - 6(-2 - 2)(Parenthesis) Subtract:      3 - 6(-4)Multiply:                              3 + 24Add:                                    27
Given :

z = - 2

To Find :

3 - 6(z - 2) = ?

Solution :

By substituting value of z = - 2 in 3 - 6(z - 2), we get :

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6((-2) - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(-2 - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(- 4)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 + 24[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 27[/tex]

[tex] \large \underline{\boxed{\bf{ 3 - 6(z - 2) = 27}}}[/tex]

Hence, value of 3 - 6(z - 2) = 27.

stubbom goats wo
[tex]rewrite \: the \: following \: sentence \: in \: the \: passive \: voice \\the \: people \: of \: zanzibar \: exetended \: a \: warm \: welcome \: to \: the \: tourists[/tex]

5.1.2
Rewrite the following sentence in the passe Voice
The people of Zanzar estender a warm watcome to the founsts​

Answers

Answer:

The people of Zanzar estender a warm watcome to the founsts​

Step-by-step explanation:

you said rewrite it so this should be your answer

cuales son los angulos de 125
[tex] [/tex]

Answers

Answer:

Ángulo de 125 grados Cómo se llama

Este ángulo es obtuso porque 120 es un número mayor que 90 y menor que 180. Es decir, la amplitud de este ángulo mide entre los 90º y los 180º: 90º < 120º < 180º.

Step-by-step explanation:

PLZ HELP ME ON THIS!!!!

Answers

Answer:

C

Step-by-step explanation:

the anderton is between 9 and 13

Answer:

B

Step-by-step explanation

There are 27
basketball players on the Greenland Basketball Team.
Of the 27 players, 1/9 of them are left-handed. How
many players are left handed? Be sure to show your

Answers

Answer:

3 players

Step-by-step explanation:

So, all you have to do is multiply 27 by 1/9 to get 3. Or, you could try figure out what number needs to be multiplied by 9 to get 27, which is also 3.

The number of calories burned by a 90-pound cyclist is proportional to the number of hours the cyclist rides. The equation to represent this relationship is y = 225x. What is the constant of proportionality?

A:135

B:225

C:315

D:90

Answers

Answer:

The constant of proportionality is 225

Step-by-step explanation:

Given

[tex]y = 225x[/tex]

Required

Determine the constant of proportionality (k)

A direct proportion is represented as:

[tex]y = kx[/tex]

Where k is the constant of proportionality

By comparing:

[tex]y = kx[/tex] to [tex]y = 225x[/tex]

Hence:

[tex]k = 225[/tex]

HELP PLSSSSSS



Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the
sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22?
Which equation models this scenario?
12.57 + 10.95 = 89.22
10.95x + 12.57 =
89.22
12.57x + 10.95 =
89.22
89.22x - 10.95 = 12.57

Answers

Answer:

10.95x + 12.57 = 89.22

Step-by-step explanation:

Who's the 34th president of America​

Answers

Answer:

Dwight David Eisenhower

Answer:

Dwight D. Eisenhower is the 34th president of America. He served as president for 2 terms, from 1953 to 1961.

Can someone please help me with this show work bc I don’t understand this I’ll give brainliest

Answers

Answer: 9

[tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{4} }{2a^{5} }[/tex]

but [tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{m} }{2a^{n} }[/tex]

=> m = 4

    n = 5

=> m + n = 4 + 5 = 9

Step-by-step explanation:

(6, -12), (15,-3)
slopeee

Answers

The answer is
M=1
Your welcome:)

texto expositivo de el derecho a la educación​

Answers

Answer:

Step-by-step explanation:

El derecho a la educación es un derecho humano que tiene como finalidad establecer una educación primaria para todos los niños y niñas, desarrollar una educación secundaria accesible progresivamente a todos los niños y niñas y el acceso a la educación superior en función de los méritos.

HELP ME PLEASEEEEE THIS IS SO HARD

Answers

#4 would be “right angles are congruent”

Answer:

4. Given

6. Definition of verticle angles

7. Algebra/part-whole-postulate/sum of interior angles in a triangle/CPTCTC (Corresponding parts of congruent triangles are congruent)

Step-by-step explanation:

number 4 is just...given because it shows that they're both right angles

6, it's literally the definition of verticle angles

7, since we know that angle TQU and angle RSU are congruent and angle QUT and SUR are congruent, if we subtract those from 180, that means those two angles also have to be congruent

Also, the two triangles are congruent by LA or ASA, so CPCTC would also work

Part-whole-postulate, same reasoning as algebra.

Sum of interior angles in a triangle, same as algebra.

Hope this helped, let me know if you have any questions.

A line passes through the points (0, 2) and (1, 8). What is its equation in slope-intercept form?

Answers

Answer:

y=6x+2

Step-by-step explanation:

y=mx+b

-the y and x are variables and your going to want to leave them that way.

-m is the slope

-b is the y-intercept

after plotting your points and drwaing a line through them you get your final equation

Need help for Geometry

Answers

Direct answer :[tex] \color{plum} \: x \: \bold{ \tt \: = \: 11}[/tex]Steps to derive the correct answer :

Given :

segment AB = segment DEsegment BC = segment EFsegment AC = segment DF

Since all sides are equal triangle ABC is congruent to triangle DEF under the SSS congruence criterion.

m∠B = (92+y)°

m∠E = (6y-28)°

We know that :

angle B = angle E

Which means :

[tex] = \tt92 + y = 6y - 28[/tex]

[tex] =\tt 92 = 6y - 28 - y[/tex]

[tex] =\tt 92 = 5y - 28[/tex]

[tex] = \tt92 + 28 = 5y[/tex]

[tex] = \tt120 = 5y[/tex]

[tex] =\tt y = \frac{120}{5} [/tex]

[tex] =\tt y = 24[/tex]

Thus, the value of y = 24

Then :

angle B :

[tex] =\tt 92 + y[/tex]

[tex] =\tt 92 + 24[/tex]

[tex] = \tt116[/tex]

Thus, the measure of angle B = 116

angle E :

[tex] = \tt6y - 28[/tex]

[tex] =\tt 6 \times 24 - 28[/tex]

[tex] =\tt 144 - 28[/tex]

[tex] =\tt 116[/tex]

Thus, the measure of angle E = 116

Since the measure of both these angles is equal we can conclude that we have found out their correct measures.

measure of segment AC = 2x + 47

Measure of segment DF = 6x + 3

Segment AC = Segment EF

Which means :

[tex] = \tt6x + 3 = 2x + 47[/tex]

[tex] = \tt6x + 3 - 2x = 47[/tex]

[tex] = \tt4x + 3 = 47[/tex]

[tex] \tt4x = 47 - 3 \\ 4x = 44[/tex]

[tex] =\tt x = \frac{44}{4} [/tex]

[tex] =\tt x = 11[/tex]

Thus, the value of x = 11

Let us check whether or not we have found out the correct value of x by placing 11 in the place of x :

[tex] = \tt6 \times 11 + 3 = 11 \times 2 + 47[/tex]

[tex] =\tt 66 + 3 = 22 + 47[/tex]

[tex] =\tt 69 = 69[/tex]

m∠B = 69°m∠C = 69°Therefore, the value of x = 11

f(x)=x^2+3x-5. find and simplify f(x+h)-f(x)

Answers

Answer:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 3x - 5[/tex]

Required

Find f(x + h) - f(x)

In functions:

[tex]f(x + h) = f(x) + f(h)[/tex]

So:

[tex]f(x + h) - f(x) = f(x) + f(h) - f(x)[/tex]

Collect Like Terms

[tex]f(x + h) - f(x) = f(x) - f(x)+ f(h)[/tex]

[tex]f(x + h) - f(x) = f(h)[/tex]

Solving for f(h)

[tex]f(h) = h^2 + 3h - 5[/tex]

So:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

Other Questions
identify the constant of proportionality2/33/236 A pond has 150 fish initially, and the population decreases by 8% each day. Which equation represents this situation? help pls! what is the value of x? Which equation is NOT equivalent to p- 7 = 22? Select all that apply.A. p-p-7 = 22-pB. p-7-p = 22 -C. p - 7 + 22 = 22 - 7OD. p - 7 + 7 = 22 - 22Ep-7 + 7 = 22 +7 A 6 cm object is 8 cm from a convex lens that has a focal length of 2.7 cm. The image is 4 cm from the lens.The height of the image is cm ______ The particular environment to which a species is adapted is its __________. Ecological Relasionships help i got meme's but help Which of the following statements is TRUE?If you have two or more risk factors for a disease, you will get the disease no matter what you do.Your diet is considered a non-controllable risk factor.Eating junk food in front of the TV every night has a negative influence on your health.Health habits are negative behaviors that are related to the way a person lives and that help determine his or herlevel of health. Find the y-intercept and write as a point (x, y) Which of the following describes how sheep get vitamin A?It is produced naturally in the rumen.Their bodies make it from beta-carotene.Farmers must provide supplements.They eat small amounts of meat. 3Two populations of rodents prefer to live in different soil types in the same area. One soil type is light-colored and theother soil type is dark-colored. There is no physical barrier between the two soil types. However, the rodents living in thelight soil only mate with one another, and the rodents living in the dark soil only mate with one another.Which of the following will most likely happen to these rodent populations over time?A:The populations will become two different species.B :The populations will learn to live on top of the soil.C:The population with the highest birth rate will move to the other soil type.D:The populations will become more genetically similar to each other. 7. Find the slope. Make sure to reduce. Dalvin's family took a road trip to Mount Rushmore. Dalvin fell asleep 44% of the way through the trip. If Dalvin fell asleep after they had travelled 176 miles, what was the total length of the trip? WHATS denser then a star What does the Lincoln Assassination help us to understand about our country, then in 1865 and now? AB is side of regular hexagon and AC is a side of a regular 8 sided polygon find: angle AOB , AOC,BOC,OBC What are the results of forest plantations?increased forest landincreased biodiversityreduced profitseconomic development Consider the following equation. x 0.32x = 0.68xWhich of the following statements matches the mathematical equations? Question 5 options:a) Decrease a number by 0.32 is the same as multiplying by 0.68.b) Decrease a number by 32% is the same as increasing by 68%.c) Decrease a number by 0.32 is the same as multiplying by 0.32.d) Decrease a number by 32% is the same as multiplying by 68%. What role do you think government should play in religious issues, if any? Why? Conjuga el verbo consumir en el futuroMargarita y Keyshla _______________Adrian _____________Ninoshka y yo _______________Yo _________________T ___________________ Please do this ven diagram, its so little!