please help . find abc

Solving the  system of equations using the algebraic method gives x = 1 or x = -4

Given: y = x²+x-1 and y+2x=3

In order to solve the system of equations algebraically

First, rewrite y+2x=3 to make y the subject:

y = 3-2x

Then, equate the two y of the equations and solve for x:

x²+x-1 = 3-2x

x²+x-1-3+2x = 0

x²+3x-4 = 0      (factorize)

x²+4x-1x-4 = 0

(x-1)(x+4) = 0

x-1 = 0 or x+4 = 0

x = 1 or x = -4

Therefore, the solution of the system of equations is x = 1 or x = -4

I pick the algebraic method because it is easier, faster and more accurate

I can check my answer by substituting the values of x into the equation  

Learn more system of equations on:

https://brainly.com/question/13729904

#SPJ1

Answer:

(-4, 11) and (1, 1)

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y=x^2+x-1\\y+2x=3\end{cases}[/tex]

The solutions to the given system of equations are the points of intersection of the two graphs.

To solve the given system of equations algebraically, first rearrange the second equation to make y the subject:

[tex]\implies y=3-2x[/tex]

Substitute the found expression for y into the first equation:

[tex]3-2x=x^2+x-1[/tex]

Rearrange to a quadratic equation and factor:

[tex]x^2+3x-4=0[/tex]

[tex]x^2+4x-x-4=0[/tex]

[tex]x(x+4)-1(x+4)=0[/tex]

[tex](x+4)(x-1)=0[/tex]

Apply the zero-product property to solve for x:

[tex](x+4)=0\implies x=-4[/tex]

[tex](x-1)=0\implies x=1[/tex]

To find the y-values of the solutions, substitute the found x-values into the rearranged second equation:

[tex]x=-4 \implies y=3-2(-4)=11[/tex]

[tex]x=1\implies y=3-2(1)=1[/tex]

Therefore, the solutions to the given system of equations are:

After being painted red on all six faces, a hardwood cube with nn units on each side is chopped into n3n 3-unit cubes. The unit cubes have exactly one-fourth of their faces be red, therefore nn equals 4.

On each face of the large wooden cube, there are tiny faces that have been painted red.

There are few faces overall because each unit cube has faces.

Given that one-fourth of the little faces are red,

[tex]6n^2/6n^3[/tex] [tex]= 1/4[/tex]

[tex]1/n = 1/4[/tex]

[tex]N=4[/tex]

Learn more about cubes here

https://brainly.com/question/1972490

#SPJ4

Answer: 16/18 and 10/16

Step-by-step explanation: The least common denominator would be 18 and 16 because you would multiply by 2.

Hoped This Helped!

The probability that the squad will have exactly three women members is 0.389

Total number of people in CU Boulder triathlon = 21

Number of Men = 9

Number of Women = 12

We are told that a 5-member squad is selected and now we want to find the probability that the squad will have exactly 3 women members.

Thus;

P(exactly 3 womens) = (12C3 * 9C2)/(21C5)

P(exactly 3 womens) =7920/1716

P(exactly 3 womens) = 0.389

Hence, the probability that the squad will have exactly three women members is 0.389

Read more about Probability Combinations at; brainly.com/question/3901018

#SPJ4

The sides of ΔTUV in order from longest to shortest is as follows -

TV > TU > VU

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is ΔTUV, m∠T = 58° and m∠U = 97°.

Refer to the image attached.

TV > VU

TU + VU > TV

TV > TU + VU

So we can arrange the sides as follows -

TV > TU > VU

Therefore, the sides of ΔTUV in order from longest to shortest is as follows -

TV > TU > VU

To solve more questions on triangles, visit the link below-

brainly.com/question/25950519

#SPJ6

Answer:

3

Step-by-step explanation:

what it means by generator is the continuance of the multiplication process so 1x3=3 and then 3x3=9 and so on.

Answer:

Δ = b² - 4ac

Step-by-step explanation:

do math

Dividing 50x⁴ - 50x³ + 12x² + 10x - 2 by 5x - 3 with the long division method will result to a quotient of 10x³ - 4x² + 2 and a remainder of 1.

The method of long division involves the following steps:

We sall divide the 50x⁴ - 50x³ + 12x² + 10x - 2 by 5x - 3 by applying the long division method as follows;

50x⁴ divided by 5x equals 10x³

5x - 3 multiplied by 10x³ equals 50x⁴ - 30x³

subtract 50x⁴ - 30x³ from 50x⁴ - 50x³ + 12x² + 10x - 2 will result to -20x³ + 12x² + 10x - 2.

This process is repeated until we have a remainder of 1.

Therefore, by the long division method, we have quotient of 10x³ - 4x² + 2 and a remainder of 1.

Learn more about long division method here: https://brainly.com/question/25289437

#SPJ1

Answer:90 t shirts

Step-by-step explanation: 20:30 is the ratio and if they make 60 sweatshirts, they would have to make 90 tshirts as well. this would keep the same ratio

Answer:

Step-by-step explanation:

There are 15 circles and 6 squares.

Total shapes:

Ratio of squares to total shapes:

Answer:

the answer is 2:7

Step-by-step explanation:

6÷3 : 21÷3

=2:7

Answer:

135 degrees

Step-by-step explanation:

a triangle rule is sum of all three angles equal 180

We know one angle of the triangle angle is 45 degrees because of the corresponding angle below it

So we just subtract 45 from 180

180-45=135

hopes this helps please mark brainliest

The midrange of the data set shown is 85 is true about the box-and-whisker plot below. The middle is the number in question. The least and greatest values should be added together, divided by two, or, in other words, the mean of the least and biggest values should be determined.

To learn more about midrange refer to:

https://brainly.com/question/14202747

#SPJ13

In 120 different variations of this model car are possible.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. Let's use the ice creams as a multiplication example to help us comprehend. There are two such groupings, and each group has ice cream.

Calculating the sum of two numbers multiplied together is the process of multiplication. Simple tests in addition, subtraction, multiplication, and division will be given. 2. a noncount noun The process or occurrence of something of a certain kind multiplying occurs when their quantity or number increases.

Given,

There are five different ways to choose a car's color.

3 different car transmission selection options are available.

There are four different interior automobile selection options.

There are two different ways to pick a car's engine.

The potential number of car variations is thus:

Multiplying:

5 × 3 × 4× 2

120

In 120 different variations of this model car are possible.

To learn more about multiplication, visit:

https://brainly.com/question/5992872

#SPJ4

The solutions for the given equation is (6, -6). The graph for the given  equation is plotted below.

The given equation is x²-36=0.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

We need to graph the given equation

x²-36=0

⇒ x²=36

⇒ x=±√36

⇒ x=±6

So, solution is (6, -6)

The graph for equation x²-36=0 is given below

The solutions for the given equation is (6, -6). The graph for the given  equation is plotted below.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ1

The correct statements regarding the scatter plot are given as follows:

The scatter plot is used to give the points needed to build the linear regression equation relating the output variable of the vertical axis as a function of the input variable represented by the horizontal axis.

In the context of this problem, these points are given as follows:

(0, 4), (2, 5), (7,7), (9, 10), (14, 12), (15, 15), (21, 17).

Inserting these points into a linear regression calculator, the equation is listed as follows:

y = 0.6529x + 3.65758

On each day listed on the options, the predicted weights are given as follows:

From these numeric values, the correct options are selected.

More can be learned about scatter plots at https://brainly.com/question/6592115

#SPJ1

The dependent variable depends on a particular situation. The independent variable does depends on the result of an experiment. The controlled variable is a variable whose value is constant.

What is dependent variable?

The variable being measured or tested in an experiment is known as the dependent variable. The results of the participants' tests, for instance, since that is what is being measured, would be the dependent variable in a study looking at how tutoring affects test scores.

What is independent variable?

This isn't the same as an experiment's independent variable, which is a variable that can stand on its own. Tutoring would be the independent variable in the aforementioned case. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).

What is controlled variable?

Anything kept constant or constrained in a research study is referred to as a control variable. Despite not being relevant to the study's objectives, this variable is controlled because it might have an impact on the results.

Numbers called parameters are used to define the characteristics of entire populations. Statistics are numerical representations of sample characteristics. One population parameter is the average income in the United States.

To learn more about variables, you visit the below site:

https://brainly.com/question/17344045?

#SPJ4

The equivalents of the functions are f(x)+g(x) = -2x²-x+6, g(x) - f(x) =   -2x²-5x+2, f(x).g(x) = -6x³-10x²+8x+8, h(x)-f(x) = 3x²-7x-2, f(x).h(x) = 9x³-6x²-8x and f(x)+g(x)+h(x) = x²-3x+6

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

Given: f(x)  = 3x + 2, g(x) = -2x²-2x+4 and h(x) = 3x²-4x

To solve this problem, just substitute the value of the function and perform the necessary operations on them.

f(x)+g(x)  = (3x+2) + (-2x²-2x+4)

            =  3x+2-2x²-2x+4

           =  -2x²-x+6

g(x) - f(x) = (-2x²-2x+4) - (3x+2)

              =  -2x²-2x+4-3x-2

             =   -2x²-5x+2

f(x).g(x)  = (3x+2)(-2x²-2x+4)

             = -6x³-6x²+12x -4x²-4x+8

            =  -6x³-10x²+8x+8            

h(x) - f(x) = (3x²-4x) - (3x + 2)

             = 3x²-4x-3x-2

             = 3x²-7x-2

f( x) . h(x) = (3x + 2)(3x²-4x)

              = 9x³-12x²+6x²-8x

              = 9x³-6x²-8x

f(x)+g(x)+h(x) = (3x + 2) + (-2x²-2x+4) + (3x²-4x)

                    = 3x+2-2x²-2x+4+3x²-4x

                    = x²-3x+6

Therefore, the equivalents are f(x)+g(x) = -2x²-x+6, g(x) - f(x) =   -2x²-5x+2, f(x).g(x) = -6x³-10x²+8x+8, h(x)-f(x) = 3x²-7x-2, f(x).h(x) = 9x³-6x²-8x and f(x)+g(x)+h(x) = x²-3x+6. You should match them accordingly

Learn more about function on:

brainly.com/question/29233399

#SPJ1

Answer:

4/3x

Step-by-step explanation:

The unit rate for $210 of 17 ft² rounded to the nearest hundredth is equal to 12.

A conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal numerical value must be used when it is necessary to perform any mathematical conversion.

Conversion:

210 dollars = 17 square feet.

x dollar = 1 square feet.

Cross-multiplying, we have:

17x = 210

x = 210/17

x = 12.35 ≈ 12

Therefore, the unit rate is equal to 12.

Read more on conversion factor here: brainly.com/question/28308386

#SPJ1

Answer:

-1

Step-by-step explanation:

Given:

[tex]i^{50}[/tex]

Rewrite 50 as the product of 2 and 25:

[tex]\implies i^{(2 \cdot 25)}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies \left(i^2\right)^{25}[/tex]

Apply the imaginary number rule  i² = -1 :

[tex]\implies \left(-1\right)^{25}[/tex]

[tex]\textsf{Apply the exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:[/tex]

[tex]\implies -1^{25}[/tex]

As 1²⁵ = 1 then:

[tex]\implies -1[/tex]

Answer:

(i)⁵⁰ = -1

Step-by-step explanation:

The problem is,

→ (i)⁵⁰

Formula we use,

→ i² = -1

Let's solve the problem,

→ (i)⁵⁰

→ (i²)²⁵

→ (-1)²⁵

→ -1

Hence, the answer is -1.

The equation which represents the price of the ticket after the discount is y = 0.25x.

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that the movie theatre is giving a discount of 75% the original cost of the ticket is x and discounted cost is represented by the variable y.

The equation for the cost of the ticket will be written as,

y = x - 0.75x

y = 0.25x

The graph of the linear equation is attached with the answer below.

To know more about a linear equation follow

https://brainly.com/question/4074386

#SPJ1

Answer:

By comparing both the figures there is a difference of 6

[tex]x + 1 = 24 - 6 \\ x = 24 - 6 - 1 \\ x = 17[/tex]

Answer:

0,3

Step-by-step explanation:

it between the 2 and it is negative and positive cases in the -2

Answer:

The question is not complete so I am unsure what to solve for f(n)=$2.25x+4.25 or f(n)= $2.25x+4.25y

Step-by-step explanation:

Shoe rental $2.25

Per game $4.25

Depending on how many people are going to rent (x) and assuming they are only playing one game your equation would be

f(n)=$2.25x+4.25

However if the question does not state how many games are being played i would say

f(n)= $2.25x+4.25y

Answer:

y = 44

Step-by-step explanation:

y = 300

---------------------------------------

Steps are in the attached picture!

----------------------------------------

Joke: What runs around a farm but doesn’t move?

Answer: A fence.

Have a great day and God bless! :D

Answer:

KentuckyCriedChickens

Answer: C

Step-by-step explanation:

All i used was a desmos graphing calculator