If you add the equations in system A we get 6x+7y=32, If we add the equations in system B we get 8x+8y=40. Explain why (3,2) is still a solution to both of these equations.

Answers

Answer 1

Step-by-step explanation:

(3,2) is the solution to both equations because if you substitute the the x and y values you get a true statement for example

6(3) + 7(2) =32

18 + 14 = 32

32=32

that is a true statement

you can do the same with system B

8(3) +8(2)=40

24 + 16 = 40

40 =40

which is a true statement


Related Questions

Write a quadratic equation having the given numbers as solutions.
-5 and - 3

Answers

Answer:

x² + 8x + 15

General Formulas and Concepts:

Algebra I

Quadratic Roots - Linear BinomialsExpand by FOIL-ing (First, Outside, Inside, Last)Standard Form: ax² + bx + c = 0

Step-by-step explanation:

Step 1: Define

x = -5, -3

Step 2: Write equation

Rewrite solutions:                    (x + 5)(x + 3)Expand [FOIL]:                          x² + 3x + 5x + 15Combine like terms:                 x² + 8x + 15

What are the coordinates of point A?

Answers

(-4,-3) need 20 characters

Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her. Choose the compound inequality that describes the elevation x of Ted's house. Part B Ted lives between _____m and _______m above sea level.​

Answers

The compound inequality to describe the elevation of Ted's house is 135 > x > 128.

Ted lives between 128m and 135m above sea level.​

How to explain the inequality?

Now it is given that,

Sakura's house is at an elevation between 113 m and 120 m above sea level.

Let x be the elevation of Sakura's house.

So, 120 > x > 113

Now Ted lives about 15 m below her

Ted's  house elevation = x - 15

So, the compound inequality to describe the elevation of Ted's house,

120 > x - 15 > 113

Adding 15 to the inequality we get,

120 + 15 > x - 15 + 15 > 113 + 15

Solving we get,

135 > x > 128

This is the required compound inequality.

Thus, the compound inequality to describe the elevation of Ted's house is 135 > x > 128.

Learn more about inequality here:

https://brainly.com/question/11613554

#SPJ1

Fill in the blank to complete the equation that describes the diagram.

Answers

-4+-2=-6

THATS THE ANSWER

Answer:-4 + -6 = -10

Step-by-step explanation:

please answer this extreme hard question. WHAT IS 1+1

Answers

golly gee this is hard... um take the one put it in the box..? maybe 7?

What is the average rate of change?

Answers

Answer:

5

Step-by-step explanation:

3/5 = blank/20 whats the answer?

Answers

Answer:

3/5 = 12/20

Step-by-step explanation:

5 x 4 = 20 so mulyiply 3 x 4 to get 12

2. A rocket is launched from rest, at ground level. The graph of the rocket's velocity with respect to
time looks as follows: y= 0.15x2
How fast is the rocket traveling after 15 seconds?
Insert the graph picture here:
Graph please

Answers

Answer:

y = 33.75 m/s.

Step-by-step explanation:

The graph of the rocket's velocity with respect to  time looks as follows :

[tex]y=0.15x^2[/tex] ...(1)

Where x is time in seconds

We need to find the velocity of rocket after 15 seconds. Put x = 15 in equation (1).

[tex]y=0.15\times (15)^2\\\\=33.75\ m/s[/tex]

Hence, the speed of the rocket after 15 seconds is 33.75 m/s.

given the function f defined by the formula f (x)=2x+1 find the following:
evaluate f(-5)
f(-5)=
f(-5)=
f(-5)=​

Answers

Answer:

f(-5)=-9

Step-by-step explanation:

f(x)=y

So knowing that -5 is equal to x plug it in

y=(2)(−5)+1

y=−9

If you have more questions just ask.

Which equation choice could represent the graph show below?

Answers

Answer:

A

Step-by-step explanation:

Hopefully this helps

A recipe for pizza dough calls for 1 1/2 cups of water and 6 cups of flour. How much water is used per cup of flour?

Answers

Answer:

1/4 cups

Step-by-step explanation:

Answer: 0.25

Step-by-step explanation:

Evaluate 38-3x5 will give brainlynest for answer please let it be correct

Answers

due to pemdas you would multiply first which would give u the answer of 23

Mrs. Fansler gives 25 assignments while Ms. Taylor gives 20 assignments. What is the ratio of Mrs. Fansler’s assignments to Ms. Taylor's assignments in simplest form? Write as a fraction using the / for the fraction bar (ex. 2/3 with no spaces).

WILL GIVE BRAINLIEST!!

Answers

Answer:

5/4?

Step-by-step explanation:

If a spider can move 1/2 of a mile every hour, then how many hours would it take for a
spider to go 4 miles?

Answers

Answer:

2

Step-by-step explanation:

   1/2x4=2

Judy bought 12 roses for
$36. Jackie bought 20 roses
for $80. Which is the better
buy?

Answers

Answer:

judy had the better buy

Step-by-step explanation:

Answer:

I would buy the ones Judy has

Step-by-step explanation:

Monique buys a $4,700 air conditioning system using an installment plan that requires 20% down. How much is the down payment? *

Answers

Answer:

$940

Step-by-step explanation:

4700/0.2 = 940

PLSSS HELPPP WILL GIVE BRAINLIEST

which equation describes the pattern shown in the table ​

Answers

Answer:

D

Step-by-step explanation:

Answer:

To be honest it has to be d

Step-by-step explanation:

4x-(12 divided 3) +2x=20

Answers

Answer:

4

Step-by-step explanation:

Urgent!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4+2/3-1 = 3

Step-by-step explanation:

hopefully it helped

the slope is 3. m=6/2=3/1=3

Please need help on this one do list on this.

Answers

Answer:

HIG and EFD

Step-by-step explanation:

simmlar tryangles

find the value of this expression is x=-8
x^2+6/x-6

Answers

Answer:

x=0.61933

Step-by-step explanation:

Let’s solve your equation step by step.

Step 1: Multiply both sides by x.

x

2

=

8

x

3

6

x

+

6

x

2

(

8

x

3

6

x

+

6

)

=

8

x

3

6

x

+

6

(

8

x

3

6

x

+

6

)

(Subtract -8x^3-6x+6 from both sides)

8

x

3

+

x

2

+

6

x

6

=

0

(Use cubic formula)

x

=

0.61933

Check answers. (Plug them in to make sure they work.)

units
5. Jerry is building a fence around a
rectangular garden. The length of the
fence is 7 feet and the width is 5 feet. How many square feet does he have inside for planting?

Answers

35 square feet inside for planting

Convert a distance of 11 miles into yards there is 1760 miles in a yard

Answers

Answer:

19360 yards

Step-by-step explanation:

11 times 1760 = 19360

need help asap with this geomtry question!

Answers

Answer:

[tex]1-25[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\The\ Sum\ of\ two\ sides\ of\ a\ triangle\ is\ always\ greater\ than\ the\ third\ side.\\Hence\ here,\\(10+14)>(x-2)\\24>x-2\\24+2>x-2+2\\26>x\\Or, x<26\\Hence,\\As\ x\ practically\ cannot\ be\ neither\ be\ negative, null nor\ 26,\ the range\ is\ from\ 1-25.\\[/tex]

PLS HELP A company that rents cars will rent a small car for $30 per day. Another company will rent the same type of car for $20 per day plus $0.08 for each mile driven. What is the number of miles per day at which the rental fees will be the same?

Answers

Answer: 125$

Step-by-step explanation:

PLEASE HELP I REALLY NEED IT RN

Answers

Answer:

Claim: Basically Carlos is saying that every number and its opposite are on the positive and negative side of the number.

Which number supports tht claim and which number refutes(disagree) with that claim?

Step-by-step explanation:

The opposite of -24 is 24, located on the positive side of the number line

The opposite of 605 is -605, located on the nagative side of the number line.

The opposite of 0 is 0.

Find the distance between M(4,−3) and N(−2,1) .

Answers

Answer:

√40 is answer

Step-by-step explanation:

distance between 2points =√(x2-x1)²+ (y2-y1)

=√(2+4)²+(-1+3)²

=√62+22

=√36+4

mark as brainlist

=√40

Find the equation of a line parallel to y = 12 that contains the point (3, 2).

Answers

Answer:

y = 2

Step-by-step explanation:

Let's first write the equation of y = 12 in slope-intercept form. Slope-intercept form is represented as:

y = mx + b

Where...

m: slope

b: y-intercept (the y-value at where the line intercepts the y-axis)

(x, y): any coordinate on the line

This line has a slope of 0 and a y-intercept of 12, therefore its equation is:

y = 0x + 12.

Parallel lines have the same slope. Therefore the equation of the parallel line can be represented as:

y = 0x + b

We need to find b, or the y-intercept.

Let's substitute the point given to us into the equation.

Solve for the y-intercept

y = 0x + b

2 = 0(3) + b

2 = 0 + b

b = 2

Therefore the equation of a line parallel to y = 12 that contains the point (3, 2) is y = 2.

find the slope of the line. ​

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

This

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

2

-1

= -2

θ =  

arctan( ΔY ) + 180°

ΔX

= 116.56505117708°

ΔX = -3 – 0 = -3

ΔY = 0 – -6 = 6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Equation of the line:

y = -2x – 6

When x=0, y = -6

When y=0, x = -3

precalc help! i will report any fake answers

Answers

Answer:

D) 41.81 degrees

Step-by-step explanation:

In this problem, we are given a leg length (a=12) and the hypotenuse (c=18).

We need to select which trigonometric identity to use with the acronym SOHCAHTOA:

SOH -> sine=opposite/hypotenuse

CAH -> cosine=adjacent/hypotenuse

TOA -> tangent=opposite/adjacent

Given side a is opposite of angle A and side c is the hypotenuse, we clearly need to use the sine function.

Set up an equation based on the information you have:

sin(A)=12/18

Now take the inverse:

sin^-1(sin(A))=sin^-1(12/18)

A=41.8103149

So the best option is answer D) 41.81 degrees

Other Questions
Augusto is a farmer who encounters several bones while plowing his field and wants to know if the bones are human. Which type of anthropologist should he call?. A 3 kg mass is travelling in a circle of 0.1 m radius with a speed of 2 m/s. What is the centripetal acceleration? True or false. Acoas will rent to void conflict whenever possible even if it means giving in More Native Americans fought on the side of the British than with the Americans during the American Revolution. true or false PLEASE HELP ILL MARK BRAINLIEST What is a formula unit in an iconic bond A few brown beetles left their population (the first population) and migrated to a population of green beetles (the second population). Which of the following occurs as a result? What is the correct order of the creative process from start to finish when making art? A group of adults and students buy tickets for a dance performance.*Each ticket costs $5.35*The total cost of the tickets for the group is $69.55*There are exactly 3 adults in the group.What is the number of students in the group?Explain your steps on how you solved this problem. i will give brainlest how do you solve this equation step-by-step? (below)4a + 8 - 2a - 3 = 45 MY ELEMENT IS RHENIUM1. Summarize the physical and chemical properties of the element you selected.2. In the lesson, many models were used to depict the atom. How did these models help you understand atomic structure?3. How do protons, neutrons, and electrons differ in terms of their electrical charges and locations within the atom?4. Describe the four fundamental forces. Which of these forces are involved in chemical bonding?Please answer these questions or at least one. PLEASE HELP SOON. NO ONE IS ANSWEING ANY OF MY QUESTIONS. high mass stars include what ? What did Attila the Hun do when he saw the Walls of Constantinople? PLEASE HELP I WILL GIVE BRAINLIEST For a game, a player takes a turn by spinning a spinner and rolling a number cube. The spinner has three equally sized sections colored red, yellow, and blue. The number cube has has sides numbered 1 through 6. The table shows all possible outcomes of a turn. Red, 1 Red, 2 Red, 3 Red, 4 Red, 5 Red, 6 Yellow, 1 Yellow, 2 Yellow, 3 Yellow, 4 Yellow, 5 Yellow, 6 Blue, 1 Blue, 2 Blue, 3 Blue, 4 Blue, 5 Blue, 6PART A.) What is the probability that the spinner lands on yellow.-1/9-1/6-1/31/2 PART B.) What is the probability that the spinner lands on yellow or the number cube lands on 4?-1/18-7/18-4/9-1/2 PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEThere are 360 people in a movie theater. Of these people, 35% bought student tickets, and 45% bought adult tickets. The rest bought senior-citizen tickets. how many people bought senior tickets? Select the best answer for the question.6. When exercising, you shouldKO A. avoid wasting time with a warm-up.O B. plan to take in extra protein.O C. work through any pain that you experience.O D. plan to take in extra water.Mark for review (Will be highlighted on the review page) Question 5 2 pts When properly kayaking in the water, your posture should be: (2 points) Sitting down with your weight balanced evenly from side to side Sitting down with your head and shoulders forward and a rounded back for stability Standing up with one foot slightly in front of the other for balance O Standing up with your feet side by side to keep a high center of gravity Plz help asap Use synthetic division to divide x + 3x - 4x - 10 by x - 2211The quotient is:The remainder is: 2253106-4>>Note: Enter only a number for the remainder, no fraction.122-10