Solve the following pair of equations simultaneously.
See image for question
Answer question (III)
Answers
Answer:
No solutions.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingExpandingFinding roots of a quadraticStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define systems
2x - y = 9
4x² + 3y² - 2x + y = 16
Step 2: Rewrite systems
2x - y = 9
Subtract 2x on both sides: -y = 9 - 2xDivide -1 on both sides: y = 2x - 9Step 3: Redefine systems
y = 2x - 9
4x² + 3y² - 2x + y = 16
Step 4: Solve for x
Substitution
Substitute in y: 4x² + 3(2x - 9)² - 2x + (2x - 9) = 16Expand: 4x² + 3(4x² - 36x + 81) - 2x + (2x - 9) = 16Distribute 3: 4x² + 12x² - 108x + 243 - 2x + 2x - 9 = 16Combine like terms: 16x² - 108x + 234 = 16Factor GCF: 2(8x² - 54x + 117) = 16Divide 2 on both sides: 8x² - 54x + 117 = 8Subtract 8 on both sides: 8x² - 54x + 109 = 0Define variables: a = 8, b = -54, c = 109Resubstitute: [tex]x=\frac{54\pm\sqrt{(-54)^2-4(8)(109)} }{2(8)}[/tex]Exponents: [tex]x=\frac{54\pm\sqrt{2916-4(8)(109)} }{2(8)}[/tex]Multiply: [tex]x=\frac{54\pm\sqrt{2916-3488} }{16}[/tex]Subtract: [tex]x=\frac{54\pm\sqrt{-572} }{16}[/tex]Here we see that we start to delve into imaginary roots. Since on a real number plane, we do not have imaginary roots, there would be no solution to the systems of equations.
Step 5: Graph systems
We can verify our results.
Related Questions
At a concession stand, seven hot dogs and two hamburgers cost 14.50, two hot dogs and seven hamburgers cost 17.00. Find the cost of one hot dog and the cost of one hamburger
Answers
Given:
Seven hot dogs and two hamburgers cost 14.50
Two hot dogs and seven hamburgers cost 17.00.
To find:
The cost of one hot dog and the cost of one hamburger.
Solution:
Let the cost of one hot dog be x and the cost of one hamburger be y.
According to the question,
[tex]7x+2y=14.50[/tex] ...(i)
[tex]2x+7y=17.00[/tex] ...(ii)
Multiply (i) by 7.
[tex]49x+14y=101.5[/tex] ...(iii)
Multiply (ii) by 2.
[tex]4x+14y=34.00[/tex] ...(iv)
Subtract (iv) from (iii).
[tex]49x-4x=101.5-34[/tex]
[tex]45x=67.5[/tex]
Divide both sides by 45.
[tex]x=1.5[/tex]
Put x=1.5 in (i).
[tex]7(1.5)+2y=14.50[/tex]
[tex]10.50+2y=14.50[/tex]
[tex]2y=14.50-10.50[/tex]
[tex]2y=4[/tex]
Divide both sides by 2.
[tex]y=2[/tex]
Therefore, the cost of one hot dog is 1.5 and the cost of one hamburger is 2.
Answer:
the other person is correct
Step-by-step explanation:
i put in the answers and it’s correct
The vertex of y= 22 - 82 +18 is
Answers
please answer these:)
Answers
Answer:
Step-by-step explanation:
Not a function
In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation.
For
x2+y2=9
(for example)
x=0
there are two values for y (namely +3 and −3) which satisfy the equation
If you plug this graph into a calculator, you will find that it is a graph of a circle.
Circles have the formula x2+y2=r2 if they are centered at the origin.
From that, we can find that the radius is 3, and it is centered at the origin.
To find the domain and range, we just find the largest and smallest x and y values.
Since the radius is 3, and the graph is centered at the origin, the largest x value is 3. Similarly, the smallest x value is -3.
The domain is −3≤x≤3
We can use the same thing for the range. The radius is 3, so the largest and smallest values of the y will be 3 and -3.
The range is -3≤y≤3
Answer:
See below
Step-by-step explanation:
6. Look at the graph of the equation x^2+y^2=8. Give its domain and range.
Both domain and range are: (- √8, √8) or (-2.828, 2.828)7. Use algebraic means to show that x^2+y^2=8 is not a function. Explain your process.
The vertical line test. If more than one point is crossed on the graph by a vertical line, then the relation is not considered to be a function.8. Is there any value(s) of the domain of x^2+y^2=8 that passes the vertical line test? If so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.
There are two points - 2.828 and 2.828 that pass the vertical line test but all the other points don't, therefore this relation is not a functionxoxoxoxozooxoxoxoxoo
Answers
A rabbit is running at a speed of 45 miles per hour. How many feet is the rabbit traveling each second?
Answers
Answer:
66
Step-by-step explanation:
The rabbit is traveling 66 ft per second.
Given the sample triangle below and the conditions csc B = 10, b = 0.5, find the hypotenuse of the triangle.
5
10
20
Answers
Answer:
hey! i dont recommend putting that much points into one question, it lowers your point value meanig, you cant answer more questions than you usually can
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!!!
If the trapezoid is isosceles, and KL = 2.8 units in length, what is the length of NM? Explain how you determined the length of NM.
Answers
Answer:
MN = 2.8 units
Step-by-step explanation:
By the property of isosceles trapezoid,
1). Bases are parallel.
2). Base angles of an isosceles trapezoid are congruent.
2). Opposite sides of the congruent angles are congruent.
By third property,
Measure of side KL = Measure of side MN
2.8 = Measure of side MN
Another way to find the length of MN is,
Distance between M and N = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
MN = [tex]\sqrt{(3-1)^2+(0+2)^2}[/tex] = [tex]\sqrt{8}[/tex]
MN = 2.8 units
Therefore, MN = 2.8 will be the answer.
PLEASE HELP ASAP!!! IF YOU WANT BRAINLIEST DONT ANSWER GIBBERISH AND BE DESCRIPTIVE!!!
Answers
Total to fish=8/3
Fish to starfish=3/5
Starfish to total=5/8
starfish to fish=5/3
Answer:
i dont know but i need brainliest can you still do it plz
Step-by-step explanation:
what is 10.7+ 2 times
30.9
Answers
Answer:
10.7 + 2 + 10.9 10.9 x 30.9 is 336.81
Step-by-step explanation:
BIG BRAIN POWER
hey I need help please
Answers
Answer:
1 I think
Step-by-step explanation:
Bryan earns 9$ for each hour of yard work how many hours in all will it take Bryan to earn 27$
Answers
Answer:
3 hours
Step-by-step explanation:
800 children a day ride on the roller coaster, but another 200 are turned away because they're not tall enough. What proportion of the total number of children are turned away?
A) Half are turned away
B) One quarter are turned away
C) One fifth are turned away
Answers
Answer:
Step-by-step explanation:
C
Answer:
B
Step-by-step explanation:
URGENT PLEASE HELP
What method can be used to prove the triangles below are congruent?
SAS
HL
SSS
Not possible
Answers
The method that can be used to prove the triangles below are congruent is SSS
(side, side, side)
Option C is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two right triangles.
The hypotenuse of each triangle is equal
The base of each triangle is equal.
The height of the triangle is common to both triangles.
Now,
A
/ | \
/ | \
/ | \
/ | \
B D C
Triangle ABD is congruent with Triangle ADC
AB = AC (side)
BD = CD (side)
AD = AD (side)
Thus,
The method that can be used to prove the triangles below are congruent is SSS
(side, side, side)
Option C is the correct answer.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
You buy gallons of gasoline at $2.37 per gallon and pay $21.33. Write an equation to find the number of gallons purchased. Then find the number of gallons of gasoline that you purchased.
Answers
Answer: 2.37x = 21.33
You bought 9 gallons
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
chemical mixture is a collection of molecules or atoms of different types. A mixture is distinguished from a pure substance, which has constant composition (is composed of a only one type of molecule or atom), and a unique set of physical properties (no matter how large or small a sample is observed).
Step-by-step explanation:
GET BRANILIEST IF YOUR RIGHT!!!
Why is 50 miles per hour a unit rate, and 150 miles per 3 hours is n
Answers
Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.
Answer:
because unit rate means 1 hour not 3 hour.
PARTA
Acar travels 30 miles in of an hour. What is the average speed, in miles per hour, of the car?
1 2
5
3
Enter your answer in the box below.
miles per hour
1
2
3
71
4
5
6
7
8
9
Answers
The speed of car is 45.3 miles per hour.
Further explanation:
Speed is the rate at which an object changes position with respect to time.
Given
The formula for calculating speed is:
The speed of car is 45.3 miles per hour.
Keywords: Speed, distance
Learn more about speed at:
brainly.com/question/12896802
brainly.com/question/13063819
#LearnwithBrainly
Jared Kushner.......
Answers
Answer:
huh?
Step-by-step explanation:
^,÷&&÷&#^÷^#*#;#^#&
Answer:
what about him-
Step-by-step explanation:
ill answer in comments
1.34 - 1.07 mathematics
Answers
Answer:
0.27
Step-by-step explanation:
If you subtract 1.07 from 1.34 it would equal 0.27.
What is the equation of the line?
y=−1/2x+1
y=−1/2x−1
y=2x−1
y=−2x+1
Answers
Explanation:
Y=Mx+b
M= slope B= y-Int.
Y-intercept=1
Slope= -1/2 (Down 1(-)/(right 2(+))
3/5x -27 =24 what is x
Answers
Answer:
X = 85
Step-by-step explanation:
Fill in the blacks please! Due in 15 mins!
Answers
Answer:
The numbers in bold are the blanks.
Step-by-step explanation:
7/5 + 3/8 = 56/40 + 15/40 = 71/40
Answer:
1 31/40 or
71/40
Step-by-step explanation:
7/5+3/8=56/40+15/40=71/40=1 31/40
The sale price of every item in a store is 85% of its usual price.
The usual price of a backpack is $30, what is its sale price?
The usual price of a sweatshirt is $18, what is its sale price?
The usual price of a soccer ball is $24.80, what is its sale price?
Answers
Answer:
Sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.
Step-by-step explanation:
A). Usual price of a sweat shirt is = $18
Sale price of the sweat-shirt is 85% of the usual price.
Therefore, Sale price = 85% of $18
=
= $15.30
B). Usual price of a soccer ball is = $24.80
Sale price of the soccer ball is 85% of its usual price.
Therefore, Sale price = 85% of $24.80
=
= $21.08
Therefore, sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.
heres the real answer hope it helps :)
Let f(n) be the average number of days a house stays on the market before being sold for price p in $1,000s, which statement best describes the meaning
of 1(250)?
Answers
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
brainlest plz
Write a real world story problem that would fit this situation
Answers
Answer:
what's the situation?????????
I have test corrections that are due tomorrow at 5pm but I cheated on it but I got some answers wrong on purpose. Now I don't know what to put for the wrong ones since I didn't do the work. She wants us to explain what we did wrong and how we fixed it but I don't know. I need help ASAP
Answers
Answer: Since you know some of the answers you put wrong say what I did wrong was I didn’t put...(and say the correct answer but like in a way )
Step-by-step explanation:
what is 90,000 in standard form
Answers
Answer:
9*10^4
Step-by-step explanation:
Answer:
90,000 is written and 9x 10^4 in scientific notation
An inscribed angle in a circle intercepts an arc whose measure is greater than 180
The angle is..
Alway acute
Sometime acute
Never acute
Answers
Answer:
The correct option is;
Never acute
Step-by-step explanation:
When an angle intercepts an ark, we have;
The legs of the angle meets with the endpoints of the arc
Therefore, given that the arc is greater than 180°, and that the angle of the arc is the angle defined at the center of the circle, while the angle defined by the inscribed angle is defined at the circumference of the circle
By circle theorem, the angle at the center is twice that at the circumference, whereby the angle of the arc > 180°, the angle at the subtended by the inscribed angle will > 180°/2, which is > 90° or an obtuse angle
Weekly salary: $650; earnings to date: $30,000.
Answers
Answer:
Step-by-step explanation:
30000/650= 46.15 weeks to accumulate $30000
ss tax rate is 12.4%
Medicare rate is 0.09%
30,000*12.4%= $3720
30,000*9%= $270
Total is $3990
Per pay period is
650*12.4%= $80.60
650*9%=$58.50
Total is $139.10
|x+4 | =8
Dont know this
Answers
Answer: 4+4=8
Step by step explanation:
