1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex787 [66]
3 years ago
10

HELP FOR BRAINEST THANK YOU!

Mathematics
1 answer:
PolarNik [594]3 years ago
6 0
An interesting question!

Instead of solving each set of non-linear system of equations 6 times, I will try a simpler way, which is more adapted to multiple choice questions.  However, please be warned that this method will not improve immensely math skills, but will help with reasoning, and possibly a broader understand in system of equations.

For simplicity, I will denote the sets of system of non-linear equations by S={A,B,C,D,E,F} from left to right.

1. given solutions {(-2,3),(7,-6)}
We first check each member of S, i.e. A,B,C,D,E,F for the linear conditions.
A: x+y=-2+3=1  ≠ 3   so no
B: x-y=-2-3=-5  ≠ 1   so no
C: 2x+y=-2(2)+3=-1  ≠ 1   so no
D: x+2y=-2+3(2)=4  ≠ 2   so no
E: -x+y=2+3=5  ≠ 1   so no
F: x+y=-2+3=1  ≠ 3   so YES now check the other solution 7-6=-1   OK

Now check the non-linear condition for F:
S1: (-2,3)
y-15=3-15=-12
-x^2+4x=-(-2)^2+4*(-2)=-12   good
S2:(7,-6)
y-15=-6-15=-21
-x^2+4x=-(7^2)+4(7)=-49+28=-21 also good, 
So Solution set (1) matches tile F

(2) Given solutions {(-5,8),(3,0)}
We proceed in a similar way, to find that
-5+8=3 & 3+0=3 (matches A) and nothing else.
Check non-linear conditions (optionally, I transposed the terms to make comparison easier)
A. x^2+x-y=(-5)^2+(-5)-8=25-5-8=12   (looks good)
    x^2+x-y=(3)^2+(3)-0=9+3=12          (looks even better)
So we determined that {(-5,8),(3,0)} is the solution for tile A.

(3) For solution set {(-2,5),(3,-5)}
Check linear conditions:
x+y=3 and -3, so does not satisfy A,& F.
x-y=-7 and 8, so does not satisfy B
2x+y=5 and 1 so satisfies C
x+2y=8 & -7 so does not satisfy D
-x+y=7 & -8 so does not satisfy E
Thus C is our only set.  NOTE: if two distinct points satisfy one linear condition (say C), then both points cannot satisfy another non-equivalent linear condition, i.e. we didn't really have to check points D & E (which are not equivalent linear conditions as C) once we have found C.
Now check non-linear conditions:
x^2-3x-y=(-2)^2-3(-2)-5=5 ok
x^2-3x-y=(3)^2-3(3)-(-5)=5 ok
So solution set (3) matches tile C.

@officiallyqueenz, for your benefit, I will leave one for you as exercise.  Please proceed to find the system for solution set (4).  Post a your work as comments if you get stuck, or your answer for verification if you wish.

For those who consider this answer as incomplete, please feel free to report the above answer.  At his/her discretion, moderator may delete answer as incomplete, may delete the whole question as too many questions, or then again, may leave the answer intact for the better learning of the user who posed the question. 
User is free to ask for explanations, further help or answer check.
If applicable, whatever action a moderator takes in this respect will be final.



You might be interested in
How many solutions are there to the equation y = 14x – 9? Plz HELP
dem82 [27]
D is correct because you could put in a value for x and get a true value for y

exg
x=3
y=14(3)-9
y=42-9
y=33
8 0
3 years ago
Given f (x) = -4x + 4, solve for x when f (x) = 0
Kazeer [188]

Answer:

x = 1

Step-by-step explanation:

Given:

  • f(x) = -4x + 4
  • f(x) = 0

We are asked to solve for x when the function is equal to zero.

<u>We should have</u>: 0 = -4x + 4

<u>Solve</u>

1. Subtract 4 from both sides

0 - 4 = -4x + 4 - 4

-4 = -4x

2. Divide both sides by -4

-4 ÷ -4 = -4x ÷ 4

1 = x

6 0
2 years ago
A parallelogram with a base of y units and a height of x units is changed to have a new base of 3y units and a height of 2x unit
nataly862011 [7]
The formula for the area of a parallelogram is

A=b*h    where b=base and h=height

if the base were to increase by 3times and the height were to increase by 2 times then
6A=b*h
The area of the parallelogram would be 6 times larger

So if the original area was 47units², then the new area would be

47*6=282units²

Answer=282units²

5 0
3 years ago
Read 2 more answers
Can someone help with these two questions? dont worry if its wrong!
nevsk [136]

Answer:

<em><u>1</u></em><em><u>)</u></em><em><u>8</u></em><em><u>&</u></em><em><u>3</u></em><em><u>/</u></em><em><u>4</u></em><em><u> </u></em><em><u>CUP</u></em><em><u> </u></em><em><u>FLOUR</u></em>

<em><u>2</u></em><em><u>)</u></em><em><u>26</u></em><em><u> </u></em><em><u>KIDS</u></em><em><u> </u></em><em><u>CAN</u></em><em><u> </u></em><em><u>GO</u></em><em><u> </u></em><em><u>.</u></em><em><u>.</u></em>

Step-by-step explanation:

1) one batch=2 1/2 cup flour

therefore batch required in 3 1/2 batch= 5/2×7/2=35/4

=8&3/4cup flour

2)No. of kids can go for $60=8

therefore,no. of kids can go in $1=8/60

Therefore,no. of kids can go in $195=8/60×195=26 kids.

6 0
3 years ago
Read 2 more answers
Trevor needs to use the most precise measurement when measuring orange juice to add to a mix. Which unit of measure should he us
dimaraw [331]
He should use ounces to measure
3 0
3 years ago
Read 2 more answers
Other questions:
  • The results of a survey are shown below.in the survey,12 students said that they would like to learn French.
    10·1 answer
  • Which statement is true for the equation 5n − 4 = 5n − 3?
    14·2 answers
  • 2loga(3)+loga(5)=loga(x)
    10·1 answer
  • The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by
    15·1 answer
  • HELP ME PLZZZZ!!!!! Help
    13·1 answer
  • At the grocery store Ayla buys1 1/3 pounds of ground turkey .Tasha buys 2 times as much ground turkey . How much ground turkey d
    7·1 answer
  • James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag. How m
    15·1 answer
  • Yo can someone help me out
    12·2 answers
  • Write each number in standard form.<br><br> 1.6 × 10 -3
    6·2 answers
  • Help..... me .......please..........ITS URGENT
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!