what are the solutions to the system

What Are The Solutions To The System

Answers

Answer 1

[tex]10+y=5x+x^2~~~~.....(i)\\\\5x+y =1~~~....(ii)\\\\\text{From (i):}\\\\10+y = 5x +x ^2\\\\\\\implies y = 5x +x ^2 -10\\\\\text{Substitute y in equation (ii):}\\\\5x+5x+x^2-10=1\\\\\implies x^2 + 10x -11 =0\\\\\implies x^2 +11x -x -11=0\\\\\implies x(x+11) -(x+11) =0\\\\\implies (x-1)(x+11) =0\\\\\implies x =1 ~~ \text{or}~~ x = -11\\\\\text{Substitute x =~1 in equation (ii):}\\ \\5+y =1 \implies y =-4[/tex]

[tex]\\\text{Substitute}~ x =-11~ \text{in equation (ii):}\\\\\ 5(-11) + y = 1 \implies y = 1 +55 = 56 \\\\\text{Hence} (x,y) = (-11,56) ~~\text{and}~~ (x,y)=(1,-4)[/tex]


Related Questions

The integers set included in the interval -45 x <3 is {-4,-3,-2,-1,0,1,2,3}.
True or False

Answers

Answer:

False

Step-by-step explanation:

-45x < 3

-x <  3/45

-x <  1/15                  Multiply by -1 because x is negative and remember to

                                 change all parts to its opposite.

Therefore  x  >  -1/15      

trevin puts 8 gallon of gas

Answers

Answer:

good for trevin?

Step-by-step explanation:

we'll need more to go on haha

Determine whether the ratios 8:7 and 15:14 are equivalent

Answers

Answer:

They are not

Step-by-step explanation:

    We can see that 14 / 2 = 7, so we can check for the other side by dividing both sides of the ratio by 2:

15:14

\/

7.5:7 ≠ 8:7

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

2. which of the following shows the cube of a binomial?​

Answers

Answer:

Socratic app

Step-by-step explanation:

it will help you

A group of 6 friends rent a cabin on a campsite. It costs $62.88 to rent the cabin. if they divide the cost evenly between them, how much does each friend need to pay?

Answers

Answer: Each friend needs to pay $10.48

Determine the x-intercept for 3x + 2y = 14,
A)
(7,0)
B)
(0,7)
C)
2,0)
D)
(0,14

Answers

x-intercepts (14/3,0)
y-intercepts (0,7)

Answer:

X-intercept: [tex](\frac{14}{3}, 0)[/tex].

Y-intercept: (0, 7) ⇒ Option B.

Step-by-step explanation:

I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.  

X-intercept:

The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0).  The x-intercept is the value of x when y = 0.

Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:

3x + 2y = 14

3x + 2(0) = 14

3x + 0 = 14

3x = 14

Divide both sides by 3 to solve for x:

[tex]\frac{3x}{3} = \frac{14}{3}[/tex]

[tex]x = \frac{14}{3}[/tex]

Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex].   None of the given option matches the value of the x-intercept.

Y-intercept:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.

Set x = 0, and substitute into the given equation.

3x + 2y = 14

3(0) + 2y = 14

0 + 2y = 14

2y = 14

Divide both sides by 2 to solve for y:

[tex]\frac{2y}{2} = \frac{14}{2}[/tex]

y = 7

Therefore, the y-intercept is (0, 7), which matches Option B.

2x+3-3=-6



x=3 ? Solve

Answers

[tex]2(x)+3-3=-6\\2(3)+3-3=-6\\6+3-3=-6\\6=-6\\[/tex]

[tex]x\neq 3[/tex]

As we can see, x cannot be equal to 3 as 6 cannot equal -6.

I hope I've helped! :)

How do I do i’m not sure

Answers

[tex](a)\\\\m=6.1\times 10^{-5},~~ t=1.7 \times 10^{-6} \\G = \sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{6.1\times 10^{-5}}{\left(1.7 \times 10^{-6}\right)^2} } ~=4590\\\\\\(b)\\\\m=6.1\times 10^{-5}(1+ 8\%) = 6.1\times 10^{-5}(1+0.08) = 0.0000648\\\\t=1.7\times 10^{-6}(1+ 5\%)= 1.7\times 10^{-6}(1+0.05) =0.000001785\\\\\\G=\sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{0.0000648}{(0.000001785)^2}}=4510[/tex]

Cómo se mide la velocidad

Answers

Answer:

d wound be the only answer I think

Calculate the average of these values: 38, 48, 58, 68?​

Answers

Answer:

53 is the average value.

Step-by-step explanation:

To find the average, or mean of multiple values you first add them all up:

38+48+58+68=212

Then you count how many different numbers there are, (there are 4 numbers here, if there are 2 of the same numbers you still count them both, just so you understand).

Then you need to divide the total you got, 212, by the total amount of numbers, 4, to get the average amount, 53.

I hope that my answer has helped you, have a great day, ask any questions you have below.

(A) use the Pythagorean theorean to determine the length of the unknown side of the triangle

Answers

Answer:

a. = 36km

b. Perimeter = 108km

c. Area = 486km^2

Step-by-step explanation:

Pythagoras theorem

a^2 + b^2 = c^2

27^2 + b^2 = 45^2

b^2 = 45^2 - 27^2

b^2 = 1296

b = [tex]\sqrt{1296}[/tex]

b = 36km

Perimeter

a + b + c

27 + 36 + 45 = 108

Perimeter = 108km

Area = [tex]\frac{ab}{2}[/tex]

Area = [tex]\frac{27 * 36}{2}[/tex]

Area = [tex]\frac{972}{2}[/tex]

Area = 486km^2

Determine the relationship between The two triangles on whether or not they can be proven to be congruent

Answers

Answer:

ASA congruence

Step-by-step explanation:

here two angles and in between side are equal for these two triangles

A satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million three hundred thirty four thousand four hundred plus y squared over forty three million nine hundred fifty six thousand nine hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?

6,880 km
6,630 km
510 km
260 km

Answers

An elliptical of the satellite in the field of astrodynamics is known as a

Kepler orbit.

The distance between the satellite and the Earth is; 510 km.

Reasons:

The function that represents the elliptical orbit of the satellite is presented

as follows;

[tex]\dfrac{x^2}{47,334,400} + \dfrac{y^2}{43,956,900} = 1[/tex]

The radius of the Earth, R = 6,370 km.

The equation of an ellipse is presented as follows;

[tex]\mathbf{\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2}} = 1[/tex]

Where, in a horizontal ellipse;

a = The major axis (the longer axis), which gives the maximum distance

between the satellite and Earth.

b = The minor axis (the shorter axis)

By comparison, we get;

a² = 47,334,400 km²

Therefore;

a = √(47,334,400 km²) = 6,880 km.

The distance between the satellite and the surface of the Earth, d, is given

as follows;

d = a - R

Which gives;

d = 6,880 km - 6,370 km = 510 km

Distance between the satellite and the surface of the Earth, d = 510 km.

Learn more here:

https://brainly.com/question/13999216

Answer:510 KM

Step-by-step explanation:

Can anyone help me if you get it right i'll give 30!

Answers

Solution:

[tex]LHS \\ = 8 + 7 - {2}^{2} \\ = 8 + 7 - 4 \\ = 15 - 4 \\ = 11[/tex]

[tex]RHS \\ = {3}^{2} + 2 \\ = 9 + 2 \\ 11[/tex]

So, LHS = RHS

Answer:

=

Hope it helps.

Do comment if you have any query.

Answer:

Below!

Step-by-step explanation:

Let's try the 'equal' sign for this equation.

8 + 7 - 2² = 3² + 2

Remember, when it comes to simplifying, exponents come first. This means that we need to simplify the exponents first.

=> 8 + 7 - (2 x 2) = 9 + 2=> 15 - 4 = 9 + 2=> 11 = 11

Since the LHS and the RHS are equal, the 'equal' sign will fit into the equation. Hence, this is proven as true. Let's try the 'not equal' sign.

=> 8 + 7 - 2² ≠ 3² + 2=> 15 - 4 ≠ 9 + 2=> 11 ≠ 11

Now, this is a definite false. The 'not equal' sign is used when two values are not equal to each other, however, in this situation, 11 does equal 11. In between them is a 'not equal' sign. Hence, this is proven false.

We can conclude that the sign you are looking for is an 'equal' sign.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

U.
15. How many correct answers would be
needed to get a score of 85% on a math
test that has forty questions?
A. 32
B. 34
C. 36
D. None of the above

Answers

Answer:

34

Step-by-step explanation:

40 questions times 0.85 equals 34


Please help if you can!

Answers

Answer:

4-1

Step-by-step explanation:

i think thats right

Is the following relation a function?
X. Y
-1. -2.
2. 3
3. 1
6. -2

Answers

Answer:

Step-by-step explanation:

x y

−1 −2

2 3

3 1

6 −2

Answer:

no

Step-by-step explanation:

6 and -2 is not a function

12x-4=10x-10+30 find value of x

Answers

Answer:

12

Step-by-step explanation:

12x - 4 = 10x + 20

2x - 4 = 20

2x = 24

x = 12

Lillian misses 10% of the free throws she attempts in a season. How many total free
throws did she attempt if she missed 51
help fast

Answers

Answer:

510

Step-by-step explanation:

10/100 = 51

10*10/100 = 51*10

100/100 = 510

work out the value of x trigonometry

Answers

Check the picture below.

Please help! Grade 7 math

Answers

Answer:

6 apple pies

Step-by-step explanation:

it is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for each person?


Answers

Interesting question. Does that mean near the end of humanity?

Solution 1:

10^10 = 1,000,000,000

10^12 = 100,000,000,000

100,000,000,000/1,000,000,000 = 100 trees per person

Solution 2:

10^12 / 10^10  ---  10^10 / 10^10

10^2/1 = 10^2 = 100 trees per person

B. DIRECTION: Read and analyze each problem. Give the best answer you can give in order to solve the problem



1. what is asked in the problem?____________________


2. What operation are you going to use to slove the problem?________


3. Show your solution___________________​

Answers

Answer:

1: How much longer did he run than walk.

2: Subtraction

3: 1/8 hour

Step-by-step explanation:

1: The last sentence says what is being asked.

2: We want to see how much longer something is so it is subtraction.

3: 3/4 = 6/8    7/8 - 6/8 = 1/8

The Cardinality of this set {7,8,9) includes
a. n(P) = 3
b. n(P) = 6
c. n(P) = 24
d. n(P) = 2

Answers

The answer is n(p)=3

Answer:

The Cardinality of this set {7,8,9} is n(P) = 8.

Step-by-step explanation:

Because:

n(P) = {{}, {7}, {8}, {9}, {7, 8}, {8, 9}, {7, 9}, {7, 8, 9}}

Hence by the formula 2^k.

where, k = number of elements in the set.

The cardinality is 8.

Andrew made a list of chores he needed to complete before his father comes home from work. On the chart, he showed the time it would take him to complete each chore.

If Andrew’s father is expected home at 6:00 p.m., what is the latest time Andrew could begin his chores?



Use the Hint to view the conversion chart.

Answers

Answer: the answer is 3:20pm!

Step-by-step explanation:

i got the question correct just now!

Answer:

3;20

Step-by-step explanation:

An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?
$36
$52
$76
$98

Answers

Answer:

$76.

Step-by-step explanation:

at does the point (2, 1.5) represent in this context?

Answers

In what context? Do you mean calculus If you are talking about graphing on a graph plane it would be the two accelerates on the x axis so (left or right) and then the 1.5 accelerates on the y axis so 1.5 on the y axis would be one and halfway to the 2 mark on the y axis so in the middle of 1 to 2 on the y axis the y axis goes (up and down)

3) ) Each of the functions below model the monetary value of an item. Which is the only that has a growth factor showing the item is increasing in value? ​

Answers

Answer:

Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...

Step-by-step explanation:

Jay has written 24 songs to date. He writes an average
of 6 songs per vear. Jenna started writing songs this
year and expects to write about 12 songs per year.
How many years from now will Jenna have written
as many songs as Jay Write and graph a system of
equations to find your answer.

Answers

Step-by-step explanation:

I'm sorry could you maybe send more information so I could help you

10) For the holidays, Judy wants to spray fake snow around
the perimeter of her front store window and along both
diagonals. How many feet of snow will she be spraying?
8 feet
15 feet

Answers

Answer:i dont know sorry

Step-by-step explanation:

Other Questions
Over the summer, Jarrod did online tutoring with kids. He was paid a total of $342.30 for 42 hours of tutoring. What was his hourly rate of pay? Which type of injection is most likely to be necessary for the medical assistant to perform when working with an immunologist How does the Ten Commandments differ from the Code of Hammurabi?a) The Ten Commandments was passed down through oral tradition, rather than written down.b) The Ten Commandments does not include a then statement, or punishment.c) The Ten Commandments does not describe the crimeonly the punishment.d) The Ten Commandments is believed to be written during a time of war rather than peace. this would mean so muchto me i just need 4 left but need help with thisMcDonald's PRODUCTIONWhat raw materials they need to buy (ingredients):What capital the need to buy or lease/upgrade with the changes made (equipment, machinery, furniture):Who they need to hire (description of the different types of workers and the number of each):Type of Worker: ---Description of Job: ---Number Required Per Shift: --- please help!Anitas parents started a Harvard college fund the day she was born. They figured by the timeshe was 18, she would need $80 000 to cover four years of post secondary tuition fees. Howmuch money would they need to deposit on an annual basis from birth to her 18 th birthday, toachieve this goal? Use a rate of 7%/a compounded annually. The following triangles are similar triangles with some dimensions specified. Find the measures of the other sides. what is the full meaning of hip Describe el temperamento de mijail alexandrovich berloiz All participants in the Genius dog challenge are border collies which some experts think are the what breed of dog? F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will theextended wall be in yards?(A) 5yards (B) 7yards (C) 8yards (D) 10yards (E) 17yards BRAINLIEST Can you help me finish these Find the perimeter. Simplify your answer. Cuntos aos tiene la quinceaera?La quinceaera tiene cinco aos.La quinceaera tiene quince aos.La quinceaera tiene cincuenta aos.La quinceaera tiene quinientos aos. Twice the sum of a number and 11 is 34.What is the number? The graph of a function f is shown below.Find f (2) Please help me I do not understand what to do or what the answer is. Read the passage and answer the question. What conclusion can you draw about the actual reason Gerber was fired? He was fired because he committed a crime and was arrested. He was fired because he did not follow post office employee rules. He was fired because he was gay. He was fired because he worked for another organization. A flea sits on the edge of a classic record album that is making 1 revolution in 0.56s. The flea is 0.20m from the center of the recorda. what is the fleas velocity?b. What is the fleas centripetal acceleration? Rewrite the following paragraph using your own words feel free to add and/or change words in order to complete the task: (must be 3-5 solid sentences at least)I chose the word distributed I read "For the Equal Rights Amendment," because women and young ladies are often confined to satisfying jobs as spouses, caretakers and/or mothers. Society often turns its back on women as caretakers and creates gender inequality in different roles in the house holds. Most women didn't get an education to the restriction of being "home bound", to clean the house and take care of the kids, as men were to go out to get jobs and an education to bring home the financial support. If women got jobs or an education, they were looks down upon. Social norms can affect nearly any aspect of our lives. They contribute to our clothing choices, how we speak, our music preferences, and our beliefs about certain social issues. What information do geologists gain from analyzing seismograph data? Question 14 options: The location of an earthquake The strength of an earthquake General plate boundary information All of the above.