y = -x²+4
y = 2x+1
solve the system of equations

Answers

Answer 1
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
1
,
3
)
,
(

3
,

5
)
(
1
,
3
)
,
(
-
3
,
-
5
)
Equation Form:
x
=
1
,
y
=
3
x
=
1
,
y
=
3
x
=

3
,
y
=

5
Answer 2

The solution of the equation as x= -1 then y= -1 and x= 3 then y = 7.

What is Equation?

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have equations y = -x²+4 and y = 2x+1.

So, 2x + 1 = -x²+4

x² - 4 -2x +1 = 0

x²-2x -3 = 0

Now splitting the mid term we get

x²-2x -3 = 0

x²-3x +x -3 = 0

x(x-3 ) + 1 (x-3)= 0

(x+ 1) (x-3) = 0

x= -1 or 3.

and, when x= -1 then y= -1

when x= 3 then y = 7.

Learn more about Equation here:

https://brainly.com/question/29657992

#SPJ2


Related Questions

Use the equation below to find v, if u = 18, a=6, and t=4.
v=u+at

Answers

v= 42
v=18+6(4)
v=18+24

Answer:

v= 42

Step-by-step explanation:

To find the value of v, substitute the given values into the equation.

v= u +at

when u= 18, a= 6, t= 4,

v= 18 +6(4)

v= 18 +24

v= 42

If the vertices of APQR are P(0,0), Q (2,0) and R(1,3),
classify the triangle.

Answers

Answer:

ΔPQR is a isosceles triangle

Step-by-step explanation:

P (0,0) Q (2,0) R (1,3)

PR² = (3-0)² + (1-0)² = 10

RQ² = (3-0)² + (1-2)² = 10

PR = RQ

ΔPQR is a isosceles triangle

May anyone help me with question 3 please, I’m struggling at it

Answers

A) there is 5 blue marbles out of 20 total marbles.

The probability of picking blue would be number of blue/ total marbles = 5/20 which can be reduced to 1/4

The answer is 1/4

B) the more marbles of a color would be a greater chance of picking it.

Green has the highest number of marbles so the answer is green.

HELP THIS IS WORTH 100 POINTS WILL MARK BRAINLIEST

Answers

Answer:

V T R (answer choice 4)

Step-by-step explanation:

Plane B is the side of the figure labeled B

The following points are on Plane B:

T, U, V, R, S

The only answer that contains three of these points is D (Answer choice 4)

Which equation best describes the graph?

y = -4/5x – 2


y = 5/4x – 2


y = 4/5x + 2


y = -5/4x + 2

Answers

Answer:

A

Step-by-step explanation:

graph calc

Answer:

y=-4/5x-2

Step-by-step explanation:

the y intercept is -2, because the line touches the y axis at -2. the line is the the 2nd and the 4th quadrant which make the slope negative. The rise is 4 and the run is 5, so its -4/5x.

Can you answer this plzz

Answers

Answer:

that will be 4

Step-by-step explanation:

it goes by 4

ChallengeThe price of Stock A at 9 AM Was $15.11. Since then, the price has been increasing at the
rate of $0.12 each hour. At noon the price of Stock B was $15.86. It begins to decrease at the rate of
$0.11 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the
same?
In about hours, the prices of the two stocks will be the same.
(Round to the nearest tenth as needed

Answers

Answer:

Step-by-step explanation:

The information gives the Slope and y intercept of the line for stock A. At 9am, time = 0, the stock price is $15.11, the y intercept or b. The Slope of the line is 12 cents per hour, it is a positive Slope so it will rise from left to right.

The line in Slope form is

y= 0.12x+15.11

Stock B at noon, so 3 hours later, is $15.86 and is decreasing at a rate of 11 cents per hour.

We know the Slope is -0.11 and we know a point on its line is (3,15.86). From this we can solve for the y intercept by substituting the x and y values from the coordinate into the Slope equation.

15.86 = -0.11(3) + b

15.86 = -0.33 + b

Add 0.33 to both sides

16.19 = b so the equation of the line of stock B is y= - 0.11x + 16.19

Since we have two equations solved for y, we can set them equal to each other and solve for x

0.12x + 15.11 = - 0.11x + 16.19 add 0.11x - 15.11 to both sides

0.23x = 1.08 divide both sides by 0.23 to solve

x = 4.69565 to the nearest tenth 4.7 hours after 9am the two stocks will be the same price.

Emily Casper earns a weekly salary of $785. How much will she make after:

a, two weeks?

b, four weeks?

c, one year?

Answers

Answer:

Two weeks: $1570

Four weeks: $3140

One year: 9420

Step-by-step explanation:

Week 2 :1570

B 3140

C 9420

NEED HELP ASAP WHAT IS THE ANSWE (GIVING AWAY POINTS IF YOU ANSWER)

Answers

Answer:  (1,2)

Step-by-step explanation:

For a graph the solution is where the lines cross, and if you look closely, the lines intersect at x=1 and y=2. You are right

Answer:

(1,2)

Step-by-step explanation:

Are the ratios 3:2 and 17:12 equivalent?
yes
no

Answers

i don’t really think so.

Answer:

no

Step-by-step explanation:

3:2 is equal to 18:12 not 17

What is the Greatest Common Factor (GCF) of 2x^2 and 4x?

Answers

Answer:

56  

Step-by-step explanation:

HELP me please I need some help on math I ain’t good at it at all

Answers

Answer:

y = 3

Step-by-step explanation:

3(2y-3) = -4y+21

6y-9 = -4y+21

10y-9 = 21

10y = 30

10y/10 = 30/10

y = 3

How are slope and speed related?​

Answers

Answer:

you will get speed on a slope and you will get speed with speed  (:

Step-by-step explanation:

Answer:

The joint dependence of locomotive power on speed and slope is crucial in the non-stationary conditions where the skier passes high and low points along the track where both speed and slope change rapidly.

Step-by-step explanation:

Hope this helps you and also when your going down a slope there is movement which in this case you will pick up speed. If your trying to go up a slope your not going to move as fast rather slow.


Mark all of the statements that are true.

Answers

Answer: E C and A

Step-by-step explanation:

systems of equations 5x+y=7
20x+2=y

Answers

Step-by-step explanation:

5x+y=7

20x+2=y

put y value in first equation

5x+(20x+2)=7

25x=5

x=5

now put x value to determine y

as we know 20x+2=y

20(5)+2=y

y=102

CAN SOMEONE PLEASE HELP ME WILL MARK BRAINLIESTTT

Answers

Answer:

375 cm

Step-by-step explanation:

Answer:

375 miles.

Step-by-step explanation:

If 1 inch = 50 miles, then 7.5 inches =

7.5 x 50 = 375.

Good luck! <3

Pl help me it’s for homework

Answers

Answer:

Option D: Multiply the second equation by 4 and then add the result to the first equation is the correct answer.

Step-by-step explanation:

Given that:

x-4y = 2

2x+y = 12

For elimination, one of the variable is eliminated.

In this system,

we can either multiplying the first equation by 2 or second equation by 4.

Then we can add the equations.

By multiplying the second equation with 4 and then adding both equations, we can eliminate the variable y.

4(2x+y=12)

8x+4y=48

By adding

(x-4y)+(8x+4y)=2+48

7x=48

Hence,

Option D: Multiply the second equation by 4 and then add the result to the first equation is the correct answer.

FOR 43 POINTS PLEASE HELP I don't want to fail I need as much help as i can get
QUESTION 1
If RS is 2x+15, and VW is 3x+5, and UT is 6x-37. What is RS?
QUESTION 2
Angle J is (7x+2) Angle L is (25x-14)
What is (x)

Answers

Answer:Can u sum it up?

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Step-by-step explanation:

(Base1 + Base2)/2 = midsegment

1. ((2x+15) + (6x-37))/2 = 3x+5

2. (8X-22)/2 = 3x+5

3. ((8x-22)/2))2 = (3x+5)2

4. 8x-22=6x+10

5. 2x-22=10

6. 2x-22+22=10+22

7. 2x=32

8. x=16

Now that you have solved for X add the value to line RS

RS = 2(16) + 15

RS = 32 + 15

RS = 47

If AABC ~ AAVW, find the value of x and y?

Answers

Answer:

what's the question

Step-by-step explanation:

is there any numbers involved

What does 64 squared with an exponent of -3 equal?

Answers

1/64^3 is a answer I got

Answer:

1.4551915e-11 (e usually means amount of zeros after the number)

Step-by-step explanation:

Please help due soon will give brainliest

Answers

(4,3) is the intersection (where the graphs meet

Answer:

The intersect point 4,3 H

Step-by-step explanation:

Hope this helps. Have a fantastic day!

Wayne has a recipe that says to heat the oven to 160°C. Wayne evaluates the expression 1.8C + 32 when C= 160 to convert the temperature to degrees Fahrenheit To which temperature should Wayne heat the oven?​

Answers

1.8C+32. 1.8x25+32. 45+32

Wayne should heat the oven to a temperature of 320°F for a recipe.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

Wayne has a recipe that says to heat the oven to 160°C.

To convert a temperature in degrees Celsius to degrees Fahrenheit, we can use the formula:

F = 1.8C + 32

Given that C= 160, we can substitute it into the formula:

F = 1.8(160) + 32

F = 288 + 32

F = 320

Therefore, he should heat the oven to 320°F.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ5

Use the Law of Cosines to find the values of x and y.

Answers

Answer:

x ≈ 41.4°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Pre-Calculus

Law of Cosines: c² = a² + b² - 2(a)(b)cosC°

Step-by-step explanation:

Step 1: Identify Variables

C° = x°

c = 12

a = 15

b = 18

Step 2: Solve for x

Substitute [LC]:                    12² = 15² + 18² - 2(15)(18)cosx°Exponents:                           144 = 225 + 324 - 2(15)(18)cosx°Add:                                      144 = 549 - 2(15)(18)cosx°Multiply:                                144 = 549 - 540cosx°Isolate x term:                      -405 = -540cosx°Isolate x term:                      3/4 = cosx°Isolate x:                               cos⁻¹(3/4) = x°Evaluate:                               x = 41.4096°Round:                                  x ≈ 41.4°

Create a story for the following function: y=15,000 - 250x please help!!

Answers

Answer:

just search and then thats it

For each 3 mm of coloured fabric Alex uses to make his curtains, he also uses 2 cm of white
fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.


PLEASE I NEED HELP. XXXXX​

Answers

Answer: 20:3

Step-by-step explanation:

=) 2 cm = 20 mm

therefore, 20:3

You solve a system by substitution and get 16=34. What does this mean?

SOMEONE PLEASE HELP

Answers

Answer:

First choice.

Step-by-step explanation:

When you solve the system and somehow get both sides two different value. That means both graphs are oarallel (graph of both equations). When two sides are different, we can say that there are no solutions.

HELPPPP indentify one characteristic of exponential decay

Answers

Answer:

A more intuitive characteristic of exponential decay for many people is the time required for the decaying quantity to fall to one half of its initial value. This time is called the half-life, and often denoted by the symbol t1/2. The half-life can be written in terms of the decay constant, or the mean lifetime.

Step-by-step explanation:

Are 6 (x + 5) and 6 • x + 6 • 5 equivalent

Answers

Answer:

Yes they are equivalent

yes, both are equivalent

question has two parts please check comments for second part(please help(:<3)

Answers

Answer:

try using maybe it would help?

Step-by-step explanation:

Question: which points are reflections of each other across both axes?

Answers

Answer: I think your answer would be A. (-2,8) and (2,-8)

I hope it's right

Other Questions
which is the highest perk in cata School A has 216 students and 12 classrooms. School B has 432 students. How many classrooms would School B need for the ratios of students to classrooms at both schools to be the same? What are the most common diagnoses for adolescents (teens)? a trip from Austin to Dallas takes about 3 hours going 65 mi/hr north is this speed, velocity, or acceleration?:) \angle aaangle, a and \angle bbangle, b are complementary angles. \angle aaangle, a measures 22^\circ22 22, degrees.What is the measure of \angle bbangle, b? heres the question What is the unit vector along = hat hat + hat ? what chemicals are the sides of the DNA ladder made of? A football coach moves 12 m north, then 16 m south, then 22 m north, and finally 6 msouth.What is the displacement Help please !In sexual reproduction, why is fertilization necessary to produce an organism ?1. Fertilization allows an organism to receive a complete set of chromosomes -one set each parent . 2. Fertilization is needed to make the cell bigger . A bigger cell leads to the development of an organism . 3. Fertilization allows an organism to reproduce asexually , making identical clones of itself. 4. Fertilization is needed so that the egg cell can obtain nutrients from the sperm cell. Without these nutrients , an organism cannot develop . Please help me with this problem, I'll give brainliest!! And if you want even more points can you go to my profile, then go to QUESTIONS then if you know the answer to the one underneath this one could you help answer it THANK YOU SO MUCH A runner has a mass of 89 kg he produces aforce of 84 Newtons between the ground and his running shoes How fast does he accelerate Please put a equation What are the three theories of agriculture Why was the United States willing to go to War with Spain? Did we Win? What did we gain? what is the unit price of $5.36 for 20 oz? Find the Quetion of the line that passes through the points (1,6) and (5,2) Dairy Days Ice Cream sells ice cream cones for $4 per customer. Variable costs are $3 per cone. Fixed costs are $2,500 per month. What is Dairy Days' contribution margin ratio Stars emit different wavelengths of visible light due to their differenttemperatures. How does this phenomenon support the particle model oflight?A. It is the result of interference.B. It is the result of diffraction.C. It is the result of the photoelectric effect.D. It is the result of blackbody radiation. Write responses for each question. Est-ce que tu aimes faire les devoirs?Est-ce que tu prfres faire du vlo ou faireune promenade?O est-ce que tu aimes faire du shopping?Est-ce que tu aimes faire du camping?Est-ce que tu prfres faire du ski ou faire dupatin glace?