(Worth 100 Brainly points help fast)Solve the following system of equations and show all work.
y = 2x²
y = -3x -1

Answers

Answer 1

The solutions are : solution of the following system of equations are:

(- 1/2, 1/2)

(- 1, 2)

Here, we have,

The given system of equations is expressed as

y = 2x²- - - - - - - - - - - - - - -1

y = - 3x - 1- - - - - - - - - -- - - -2

We would apply the method of substitution by substituting equation 1 into equation 2. It becomes

2x² = - 3x - 1

2x² + 3x + 1 = 0

We would find two numbers such that their sum or difference is 3x and their product is 2x².

The two numbers are 2x and x. Therefore,

2x² + 2x + x + 1 = 0

2x(x + 1) + 1(x + 1) = 0

2x + 1 = 0 or x + 1 = 0

x = - 1/2 or x = - 1

Substituting x = - 1/2 into equation 1, it becomes

y = 2(-1/2)² = 1/2

Substituting x = - 1 into equation 1, it becomes

y = 2(-1)² = 2

Hence, The solutions are : solution of the following system of equations are:

(- 1/2, 1/2)

(- 1, 2)

To learn more on equation click:

brainly.com/question/24169758

#SPJ1


Related Questions

The sum of two numbers is 16. Find the two numbers and their product if their product is to be a maximum​

Answers

It ia 16 espero ter ajudado

Evaluate the expression 7'2/x'2-2 for X=3

Answers

Answer:

7

Step-by-step explanation:

7²÷3²-2 = 49/9-2 =49/7 =7

the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the sequence is 20. find the 6th term of the sequence

Answers

Answer:

54

Step-by-step explanation:

Tn = an²+bn

T2 = a2²+2b

2 = 4a +2b

Multiply all through by 2

4 = 8a +4b

4b = 4-8a

T4 = a4² + 4b

20 = 16a +4b

4b = 20-16a

4-8a = 20-16a

16a -8a = 20-4

8a = 16

a = 16/8 = 2

4b = 4-8a = 4-8(2) = 4-16 = -12

b = -12/4 = -3

T6 = a6² + 6b

T6 = 2(36) + 6(-3) = 72 -18 = 54

Answer:

54

Step-by-step explanation:



if (a+b)^2=10, if ab=-2 calculate a^2+b^2​

Answers

Answer:

a^2+b^2=(a+b)²-2ab=10-2×-2=10+4=14(here -×-=+)

what is 20/4 - 8 please help

Answers

To subtract fractions, find the LCD and then combine.

Answer is: -3

Answer:

-3

Step-by-step explanation:

Multiply and divide {left to right}:

20/4 = 5

Add and subtract {left to right}:

5 - 8 = -3

{Negative + Positive = Negative}

Fraction:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(20/4, 8/1) = 4

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

[tex](\frac{20}{4} *\frac{1}{1} )-\frac{8}{1} *\frac{4}{4} )=[?][/tex]

Complete the multiplication and the equation becomes

[tex]\frac{20}{4} -\frac{32}{4} =[?][/tex]

The two fractions now have like denominators so you can subtract the numerators.

Then:

[tex]\frac{20-32}{4} = \frac{-12}{4}[/tex]

Since -12 divided by 4 equals -3 then,

[tex]\frac{-12}{4}=-3[/tex]

Therefore, -3 is the correct Answer or Fraction form = -1/3

[RevyBreeze]

How many quarts will you get if you mix 5 gallons 5 quarts and 6 pints

Answers

Answer:

28

Step-by-step explanation:

There are 4 quarts in a gallon, and since we have 5 gallons that gives us 20 quarts. Then we add the 5 quarts to give us 25 quarts. Finally, there are 2 pints in quart, so that gives us 3 quarts. Add those last three quarts and we get 28 quarts in all.

Total quarts when you mix 5 gallons 5 quarts and 6 pints is, 28 quarts

We have to given that,

To find total quarts if you mix 5 gallons 5 quarts and 6 pints.

Since, 1 gallon = 4 quarts

Hence, 5 gallons = 5 x 4 = 20 quarts

And, 1 pints = 1/2 gallons

Hence, 6 pints = 6/2 gallons

                       = 3 gallons

So, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,

20 + 5 + 3

28 quarts

Therefore, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,

28 quarts.

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ6

Need to find the greatest common factor

Answers

Answer: The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.

Step-by-step explanation:

Three consecutive integers have a sum of 48. Find the integers.

Answers

Answer:

15,16,17

Step-by-step explanation:

Consecutive intigers: numbers that go in order (eg. 1,2,3....45,46,47)

x+x+1+x+2=48

3x+3=48

3x=45

x=15

15,16,17

9+3+8+100+12+100+12+34+28+​

Answers

Answer:

306

Step-by-step explanation:

LOL

Answer:

306

Step-by-step explanation:

so 9+3=12+8+100=108+12=120+34=154+28=182 then u add it all together

OK LAST ONE BUT PLEASE HELP 20 POINTS
How do you solve a system of equations approximately using tables, without graphing or writing equations?​

Answers

Answer:

Solve for y, graph it, and then find where the lines intersect.You can take a table and put in all the x and y values. Then graph it. And see where it intersects. Because usually, these equations are lines

Whats the correct answer and show me how u got it and Ill give u the brainlest please help


The annual state budget for Texas is 108.0 billion with a population of 29.00 million residents. Round all scientific answers with two decimals with no spaces.

Example: 1.23x10^4 or 1.23E4



Write the Budget in scientific notation. 1 point Budget:

Write the population in scientific notation. 1 point Population:

Round to a whole number for the next part:

Calculate the Budget Per Capita and write your answer in standard notation. 2 points

On your paper only: Use the budget per capita in a meaningful sentence.

Answers

Are the animals in budget it’s 47,000,000÷67 three cool stuff for a cool cat

From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.

Answers

Answer:

42.537 m

Step-by-step explanation:

Let x = height of tower

tan 28 = x/80

x = 80 tan 28

x = 42.537 m

y = -3x + 5? *
What’s the slope of the equation y =-3x+5

Answers

Answer:

The slope is -3

Step-by-step explanation:

The formula is y= mx + b

m = slope

b=  y intercept

Therefore, the slope is -3

Question 1
The quotient of 100 and n is equal to 20.
Write an equation to describe this situation.
Equation:

Answers

Are you sure one -662

What is the answer to 3x(2 1/5)=

Answers

Answer:

(6 3/5) * (x)

Step-by-step explanation:

3x(2 1/5)= (6 3/5) * (x)

Answer:

6 3/5

Step-by-step explanation:

What is the answer to - y¹⁵・- y¹² ?

Answers

Answer:

y^3

Step-by-step explanation:

- y^15-12

two negatives is a positive

The answer is -y^27
Bc according to the product rule you add the exponents when two numbers with the same base or in general are multipled

Cindy works 4c hours each day from Monday to Friday. She works 7c on Saturday. Cindy does not work on Sunday. Find the number of hours Cindy works in one week in terms of c

Answers

Do you still need help with this

How much will it cost Tom if he used his cell
phone for 850 minutes in one month?
Tom's basic cell phone plan charges
$79.99 for service plus $0.18 per minute
beyond the included 800 minutes in the
plan. How much will it cost Tom if he used his cell phone for 850 minutes in one month?

Answers

Answer:

88.99

Step-by-step explanation:

his plan includes 800 minutes for 79.99, all we need to do is calculate the cost of the extra 50mins he used and add it to 79.99. this is ((850-800)*0.18) +79.99 and this is equal to 88.99

$79.99 for the month of 800 minutes
$0.18 X 50 minutes over the included 800
Total = $79.99 + $9 = $88.99

8. The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)

Answers

Answer:

116

Step-by-step explanation:

8

=36

what is the purpose of the dx in the integral ∫2x dx?

Answers

Answer:

[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex]

Step-by-step explanation:

The integration refers to the antiderivative of a function. The inverse process of differentiation is the integration.

The integration is used to find the volume and area under the curve.

In ∫ [tex]2x\,\,dx[/tex]

∫ denotes the sign of integral,

[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex],

[tex]2x[/tex] is the part to be integrated.

Matematik 5. Sınıf Test Kitabı Arıyorum. Önerilerinizi Yazarsanız Sevinirim.​

Answers

Answer:

Matemito Matematik Atölyem 5 - Arı Yayınlarının

Step-by-step explanation:

Hoca Kaynak olarak aldırdı çok iyi.

11 - m = 51 - 6m solve for m

Answers

This should be the answer if not let me know

                               2/2m=8 2/2

Answer: m = 8.

Step-by-step explanation: Proof:

what is the equation of a straight line that is parallel to the line 4y=3x+5

Answers

Answer:

4y+5=3x, 4 y + 5 = 3 x .

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Step-by-step explanation:

hope it's going to work

Plz help me :) dropdowns
1) vailid/ not valid
2) unbiased/biased
3)appropriate/ inappropriate

Answers

Answer:

1

Step-by-step explanation:

What is the value of the expression 8w−4j2 when w=0.25 and j=0.5?

Answers

Answer:

-2

Step-by-step explanation:

A toy robot and it’s pet robot together weigh 204 kg. Four times the weight of the pet robot is 4 kg less then the weight of the toy robot. How much does each toy robot weigh?

Answers

I think 56 is the answer don’t really know

The perimeter of a shape shows a car racing track, how far does a car travel in a race which consists of 23 laps 1.2km , 1.2 km 1.2km

Answers

Answer:

110.4km

Step-by-step explanation:

1 lap is equal to 4.8

4.8×23=110. 4

(Need someone to confirm)

Steps to solve 5x +3 = 25x – 2

Answers

Answer: so you have to rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation. There are 3 possible answers x=1

                              x=6

                              x=0

I hope this helps if not I’m rlly sorry.

5x+3 = 25x-2
5x-25x = -2-3
-20x = -5
-20x/-20 = -5/-20
X = 1/4

What is the equation for the line of reflection? ​

Answers

x=6

hopefully im not wrong^^

What is A number y divided by 9 is less than or equal to 17?

Answers

Answer:

the answer to what divided by 9 equals 17 is 153. You can prove this by taking 153 and dividing it by 9, and you will see that the answer is 17

Other Questions
should a researcher ever use chi-square to examine the relationship between two variables that are interval level and normally distributed? calculate the line integral of the vector field f=r=xi yj along the line between the points (2,2) and (6,6) . A merry -go-round rotates at the rate of 0. 4 rev/s Coca-Cola was accused of creating and processing _________ during specific time periods to positively impact financial statements.analysiscustomerstransactionsproducts TRUE OR FALSE the visual inspection method does not provide supporting documentation for the statement of cash flows due to its simplistic nature. what did one of the guards do to betsie one day when he thought that she was not working hard enough? in the hiding place For each of the three simple circuit boards you will need to calculate the total resistance Reg for the entire circuit board by using the measured resistances of each of the resistors, and the equations given to you in the theory section. Then using the applied voltage of 2V, as the theoretical voltage Vth for the entire circuit board you can calculate the theoretical current, it, for the entire circuit board. Table 1(Resistors in series) calculate R(Q) lex(A) Vex(V) ith(A) Ven(V) % Error i % Error V Reo 305, 2. 00u61 1. 9864 100 10. 4. 6. 0681 1000 99. 62. 64. 6484 2000 195 00660 1. 26% 1. Using the equations for resistors in series calculate the theoretical voltages, and currents for each of the resistors, and the entire circuit. Use the measured values of the resistance in your calculations. Then calculate the % errors. Show work. (20 points) 2. According to our equations, what should be the relationship between the total current and the currents passing through each resistor? Does your data show this relationship? (5 points) do c on loot boenlu oy sombra Vi b o rbe to zostabacom sudbredt voor das vogalov bolagsstarostovo 3. According to our equations, what should be the relationship between the total voltage and the voltages passing over each resistor? Does your data show this relationship? (5 points) com d an bisa .Consider the Basic Solow Model without exogenous growth:Y=AK^L^(1)C = (1-s)YY = C + IK'=I+(1-)Kwhere labor LL is constant. Assume the following values for the rest of this question:A = 1000=0.33=0.09s= 0.12L=25Q1.11 PointCompute steady state capital per worker.Round your answer to at least three decimal places.Q1.21 PointCompute steady state output per worker.Round your answer to at least three decimal places.Q1.31 PointCompute steady state consumption per worker.Round your answer to at least three decimal places.Q1.41 PointCompute steady state investment per worker.Round your answer to at least three decimal places. The heights of adult men in the United States are approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches Heights of adult women are approximately normally distributed with a mean of 64. 5 inches and a standard deviation of 2. 5 inches Explain how you stand relative to the U. S. Adult female/male population in terms of height? Use terms such as z-score, percentile, Normal curve, and the probability of finding an adult female/male taller or shorter than you are At constant pressure, which of these systems do work on the surroundings?2A(g)+B(g)C(g)A(s)+B(s)C(g)2A(g)+2B(g)5C(g)2A(g)+3B(g)4C(g) In which type of attack does the attacker keep asking the server to establish a connection?A. Ping floodB. Smurf attackC. SYN flood given the function f ( t ) = ( t 5 ) ( t 7 ) ( t 6 ) its f -intercept is its t -intercepts are T or F: Because you are just looking at slides and tissues this week you are not required to wear standard lab attire for the histology lab. the flower color of the four o clock plant is determined by alleles of genes that demonstrate___ Sandhill Company purchases equipment on January 1, Year 1, at a cost of $271,000. The asset is expected to have a service life of 5 years and a salvage value of $20,000. Compute the amount of depreciation for each of Years 1 and 2 using the straight-line depreciation method. Depreciation for Year 1 $enter a dollar amount Depreciation for Year 2 sociology chinese migrants display a socio-economic tendency often characterized as __________. 1. Check whether the given function is a probability density function. If a function fails to be a probability density function, say why.a) f(x) = x on [0, 7] Yes, it is a probability function. No, it is not a probability function because f(x) is not greater than or equal to 0 for every x. No, it is not a probability function because f(x) is not less than or equal to 0 for every x. No, it is not a probability function because\int_{0}^{7}f(x)dx 1. No, it is not a probability function because\int_{0}^{7}f(x)dx = 1.b) f(x) = ex on [0, ln 2] Yes, it is a probability function. No, it is not a probability function because f(x) is not greater than or equal to 0 for every x. No, it is not a probability function because f(x) is not less than or equal to 0 for every x. No, it is not a probability function because\int_{0}^{\ln 2}f(x)dx 1. No, it is not a probability function because\int_{0}^{\ln 2}f(x)dx = 1.c) f(x) = 2xex2 on ([infinity], 0] Yes, it is a probability function. No, it is not a probability function because f(x) is not greater than or equal to 0 for every x. No, it is not a probability function because f(x) is not less than or equal to 0 for every x. No, it is not a probability function because\int_{-\infty }^{0}f(x)dx 1. No, it is not a probability function because\int_{-\infty }^{\0}f(x)dx = 1. where do we put gains/losses on purchase of treasury stock (cost method)? In the context of the parameters for collective bargaining, which of the following statements is true of mandatory items?a If either negotiating party expresses a desire to negotiate one or more mandatory items, then the other party must agree.b Almost anything is negotiable under mandatory items if both the negotiating parties agree to discuss it.c Mandatory items include a clause in the labor contract specifying that the employee union promises not to strike. (Rabbitsus. foxes) Themodel\dot{R}=a R-b RF, \dot{F}=-c F+d RF isthe Lotka - Volterrapredator-preymodel. Here R(t)isthenumberofrabbits. F(t) is, thenumberof foxes, anda, b, c, d>0areparameters. a)Discussthebiologicalmeaningofeachofthetermsinthemodel. Commentonanyunreax^{\prime}=x(1-y) y^{\prime}=\mu y(x-1)$ c) Find a conserved quantity in terms of the dimensionless variables.d) Show that the model predicts cycles in the populations of both species, for almost all initial conditions.