Explain how to solve a system of three equations using the elimination method.

Answers

Answer 1

Step-by-step explanation:

You can solve a system of three equations by multiplying each equation by a number that allows you to add or suvtract the same equation together by eliminating the x or y variable

Answer 2

Answer:

To use elimination to solve a system of three equations with three variables, follow this procedure:

Write all the equations in standard form cleared of decimals or fractions.

Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.

Select a different set of two equations and eliminate the same variable as in Step 2.

Solve the two equations from steps 2 and 3 for the two variables they contain.

Substitute the answers from Step 4 into any equation involving the remaining variable.

Check the solution with all three original equations.

Step-by-step explanation:


Related Questions

PLEASE HELP! WILL GIVE BRAINLIEST!

Answers

Answer:

f(1) = 45

f(n) = f(n-1)*(4/5)

Step-by-step explanation:

f(1)

= 45(4/5)^(1-1)

= 45(4/5)^(0)          use law of exponents

= 45*1

= 45

f(1) = 45

f(n) = f(n-1)*(4/5)

Simplify to create an equivalent expression. −3(2+4k)+7(2k−1)

Answers

Answer:

[tex]\huge\boxed{2k-13}[/tex]

Step-by-step explanation:

[tex]\sf -3(2+4k)+7(2k-1)\\Expanding \ brackets\\-6-12k+14k-7\\Combining \ like \ terms\\-12k+14k-6-7\\2k -13[/tex]

2k-13
First step= -3(2+4K)+7(2k-1)
Second step= -6 - (12k) + 14k- 7
Third step= -12k+14k - 6 -7= 2k-13

I REALLY NEED HELP PLEASE HELP ME :(

Answers

Answer:

I may be wrong but I think 8 is your answer.

Step-by-step explanation:

(-1)^(3/7)  x 128^(3/7)

-1 x 128^3/7

128^(3/7) = 8

= 8

Select the equation written in slope-intercept form that corresponds to the given slope and y-intercept. m=6 b=-2

Answers

Answer:

y = 6x - 2

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that:

m = slope = 6

b = y-intercept = -2

x = (x , y)

y = (x , y)

Plug in the corresponding numbers to the corresponding variables:

y = 6x + (-2)

y  = 6x - 2

y = 6x - 2 is your answer.

~

Answer:

y = 6x-2

Step-by-step explanation:

The slope intercept equation  form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 6x-2

whats a negative times a positive times a negative?

Answers

Answer:

Positive

Step-by-step explanation:

negative times negative is postive positive times negative is negative

Answer:

A positive.

Step-by-step explanation:

Let's replace these with numbers.

-1 · 2  · (-3)

A negative times a positive will always equal a negative. So, we have:

-2 · (-3)

Any numbers with the same sign (positive or negative)  multiplied by each other will equal a positive. Since we have two negatives and we're multiplying them, our result will be a positive number.

6

Hope this helps!! <3 :)

Find the constant $p$ such that $x^2 - 5x + p$ is the square of a binomial.

Answers

Answer:

[tex]p = \frac{25}{4}[/tex]

Step-by-step explanation:

Given

[tex]x\² - 5x + p[/tex]

Required

Find p, such that the expression is a perfect square

Write out the coefficient of x

Coefficient = -5

Next step is to divide the coefficient of x by 2

[tex]Result = \½(-5)[/tex]

Take the square of the above expression to give p

[tex]p = (\½(-5))\²[/tex]

[tex]p = (\½(-5) * (\½(-5)[/tex]

[tex]p = \½ * \½ * (-5) * (-5)[/tex]

[tex]p = \¼(25)[/tex]

[tex]p = \frac{25}{4}[/tex]

Substitute 25/4 for p in the given expression

[tex]x\² - 5x + p[/tex] becomes

[tex]x\² -5x + \frac{25}{4}[/tex]

Expand the above expression

[tex]x\² - \frac{5x}{2} - \frac{5x}{2} + \frac{25}{4}[/tex]

Factorize

[tex]x(x - \frac{5}{2}) - \frac{5}{2}(x - \frac{5}{2})[/tex]

[tex](x - \frac{5}{2})(x - \frac{5}{2})[/tex]

[tex](x - \frac{5}{2})\²[/tex]

Hence, the value of p is [tex]p = \frac{25}{4}[/tex]

A relative frequency table is made from data in a frequency table. Relative Frequency Table: A 4-column table with 3 rows. The first column has no label with entries likes S, T, total. The second column is labeled U with entries 26%, 21%, 47%. The third column is labeled V with entries 42%, k, 53%. The fourth column is labeled total with entries 68%, 32%, 100%. What is the value of k in the relative frequency table? Round the answer to the nearest percent.

Answers

Answer:

Hey There. ☆~<___`£《》£`____>~☆ The correct answer is: 33% okay if you don't understand this. Just tell me Okay. k=11 And, let me know if you don't understand how I got this. So, I'm gonna write it out

U V total

S 26 42 68

T 21 k 32

Total 47 53 100

So, you want to look at the column and row labeled total, this is the key. for the row total, it sums up everything in the column above it. so for the u column, the total value is 47 while the two values above it are 26 and 21. These two values sum to 47. This is the same for all other columns, and you can use the same reasoning with the total column as well summing rows.

This gives you two ways to solve for k. either 21 + k = 32 or 42 + k = 53. Either way gets you the answer k = 11

Hope It Helps!~ ♡

ItsNobody~

Answer:

The answer is B

Step-by-step explanation:

Please help! I’m this figure, which angles are congruent? Find the measure of all the angles if m< 2= 76 degrees

Answers

Problem 1.

Yes it is true that vertical angles are congruent, but that's not what your teacher is asking. Instead, your teacher is asking basically how the term "congruent" is defined.

Two segments are congruent if they are the same length. Two angles are congruent if they are the same measure. Two triangles are congruent if they have the same angles and sides.

So in short, "congruent" just means "same". You can think of having mirror copies.

==========================================

Problem 2.

Angles 2 and 4 are one pair of vertical angles. They are opposite one another in this X shape formed by the two lines. The other pair of vertical angles are angle 1 and angle 3.

Angle 2 is given to be 76 degrees, so this means angle 4 is this measure as well.

Angle 1 = 180 - (angle 2) = 180 - 76 = 104, which is also the measure of angle 3 as well. I'm using the idea that the adjacent angles form a straight angle. This is known as a linear pair (ie the angles form a straight line).

==========================================

Problem 3.

If all three angles are the same (all 60 degrees), then we have an equilateral triangle. We could say it's equiangular, but it's also equilateral as well meaning all 3 sides are the same length. "equi" means "equal", "angular" means what you'd expect, and "lateral" means "side".

If only two angles are equal with the third one different, then we have an isosceles triangle. An isosceles triangle is one where only two sides are the same length.

If none of the angles are the same, then we have a scalene triangle. As you probably expect, none of the sides are the same length with a scalene triangle.

----

If all three angles are less than 90 degrees, then the triangle is acute

If one angle is 90 degrees, then we have a right triangle

If one angle is over 90 degrees (but less than 180), then the triangle is obtuse

---

Often you'll see the terms of the previous two sections combined. For instance, we could have an isosceles right triangle. Or we might have an obtuse scalene triangle. Any equilateral triangle is acute (as all three angles are less than 90).

To solve this problem we have to understand what congruent angles are and then find the angles that are congruent to one other in this given question.

What are Congruent Angles?

Congruent angles are angles that are equal to one another and in the given question, we were given m<2 = 76 degrees.

Data;

m<2 = 76 degrees

If we look critically at the angles, we can use opposite angle theorem here to predict angles that are congruent to another here.

angles 2 and angle 4 are congruent to one another while angle 1 and angle 3 are congruent to one another.

This implies that

m<2 = 76°m<4 = 76°

Let's solve for other angles.

But the some of angles at a point is equal to 360°

Applying that theorem here,

[tex]m > 1=x\\m > 2 = 72^0\\m > 3 = x\\m > 4 = 72^0[/tex]

Let's substitute the values and solve.

[tex]x+ x + 72+72 = 360\\2x + 144 = 360\\2x = 360 - 144\\2x = 216\\x = \frac{216}{2} \\x = 108^0[/tex]

This can be further summarized as

m<1 = 108°m<2 = 72°m<3 = 108°m<4 = 72°

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PLEASE HELP!!!! ASAPP!!!! I will name Brainliest.
A pyramid has a square base that measures 10 feet on a side. The height of each face is five feet. What is the surface area of the pyramid?

Answers

Answer:

[tex]\boxed{\sf 200 \ feet^2}[/tex]

Step-by-step explanation:

The 3D shape is a square-based pyramid.

The surface area of a square-based pyramid is given as:

[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]

Plug in the values.

[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]

[tex]\sf SA=100 + 100[/tex]

[tex]\sf SA=200[/tex]

divide this decimals 5.2 divided 4

Answers

Answer:

1.3

Step-by-step explanation:

5.2/4 = 1.3

To check, 1.3 multiplied by four is 5.2.

Answer:

It’s 1.3

Step-by-step explanation:

Make meeee brainliest

9.Find the perimeter of the triangle formed by points (0,4), (0,0) and (3,0)

(1 Point)

55


1212

1111

None of these


Answers

Answer:

              12

Step-by-step explanation:

A(0,0) ∧  B(3,0)  ⇒  AB = 3

A(0,0) ∧  C(0,4)  ⇒  AC = 4

From Pythagorean theorem:

AB² + AC² = AB²

3² + 4² = AB²

AB² = 9+16 = 25

AB = 5

Perimeter:  

               AB + AC + BC = 3 + 4 + 5 = 12

Paul travels from Rye to Eston at an average speed of 90 km/h He travels for T hours.

Mary makes the same journey at an average speed of 70 km/h She travels for 1 hour longer than Paul.

Work out the value of T .

Answers

Answer:

3.5 hours

Step-by-step explanation:

Paul:

Speed = 90 km/hTime= T hoursDistance = 90T km

Mary:

Speed = 70 km/hTime = T + 1 hoursDistance = 70(T+1) km

Since the distance is same, we have:

90T = 70(T+1)90T= 70T + 7090T - 70T = 7020T= 70T= 70/20T= 3.5 hours

Answer: Paul's travel took 3.5 hours

(2x^0y^2)^-3 multiply 2yx^3

Answers

Answer:

[tex]\frac{x^{3} }{4y^{5} }[/tex]

Step-by-step explanation:

Simplifica la expresión

For the function f(x) = x + 7, what is the ordered pair for the point on the graph where x = 2b? (2b, 2b + 7) (2b, x + 7) (x, x + 7) (x, 2b + 7)

Answers

Answer:

(2b, 2b + 7).

Step-by-step explanation:

y = x + 7 and x = 2b ,

therefore y = 2b + 7.

Answer:

(2b, 2b + 7)

Step-by-step explanation:

Plz help me ASAP! I will mark brainliest

Answers

Answer:

x=20

<B=150°

Step-by-step explanation:

Opposite Interior Angles

8x-10=3x+90

8x-3x=90+10

5x=100

x=20

<B=3x+90

=3(20)+90

=60+90=150

Answer:

x=20

<B = 150

Step-by-step explanation:

The angles are alternate interior angles and when the lines are parallel, alternate interior angles are equal

8x-10 = 3x+90

Subtract 3x from each side

8x-10 -3x = 3x+90-3x

5x-10 = 90

Add 10 to each side

5x-10 +10 = 90+10

5x = 100

Divide by 5

5x/5 = 100/5

x = 20

<B = 3x+90

    = 3*20 +90

    = 60+90

    = 150

nikhil has RS 80000 from this,he gives 30% to his wife and 20% to his father. Find the amount received by wife and father​

Answers

Answer:

Amount received by wife = RS 24000

Amount received by father = RS 16000

Step-by-step explanation:

His income is RS 80000

He gave 30% of his income to his wife

That's

[tex] \frac{30}{100} \times RS \: \: 80000[/tex]

Which is RS 24000

He gave 20% of his income to his father

That's

[tex] \frac{20}{100} \times RS \: \: 80000[/tex]

Which is RS 16000

Hope this helps you

Mother received 24000
Father received 16000

Plz thanks and mark me the branliest ans

Solve for y.
y/-1 +-7=-11​

Answers

Answer:

y = 4

Step-by-step explanation:

Move all terms not containing  y  to the right side of the equation.

-y = -4

Multiply each term in  − y  =  − 4  by  − 1

y = 4

Hope this can help you

Derek bought cloth for $800. He spent $200 for stitching a shirt. He sold the shirt for $1175. Find the profit.​

Answers

Answer:

$ 175

Step-by-step explanation:

cost to make the shirt = the price of cloth+stitching expenses

C=800+200

C=1000 dollars

Profit that Derek made : selling price-expenses

P=1175-1000

p=175 dollars

Find the length of the arc. A. 187π/12 ft B. 16π/3 ft C. 49π/6 ft D. 343π/12 ft

Answers

Answer:

[tex]\huge \boxed{\mathrm{Option \ C}}[/tex]

Step-by-step explanation:

Length of arc formula = θ/360 × 2[tex]\pi[/tex]r

The angle is 210 degrees.

The radius is 7 ft.

210/360 × 2[tex]\pi[/tex](7)

Simplify the expression.

210/360 × 14[tex]\pi[/tex]

2940/360[tex]\pi[/tex]

49/6[tex]\pi[/tex]

The length of the arc of circle having radius 7 feet is 49π/6 which is option C.

What is arc?

An arc is a part of circumference of a circle which is formed from two radius of the circle. The length of arc is equal to Θr in which r is radius and Θ is angle in radian form.

How to find length of arc?

We have been given the radius of the circle be 7 feet and angle be 210°.

The length of arc will be Θr in which r is the radius and Θ is the angle in radian form.

First we have to convert angle in radian form=210*π/180=7π/6.

Length of arc=7π/6*7

=49π/6

Hence the length of the arc of circle having radius 7 feet is 49π/6 which is option C.

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Study the samples below to answer questions
26 and 27.
pls brainiest

Answers

Answer:

1 st pattern 48+122 = 170

2 nd pattern 8½+3½ = 5

so, 3rd pattern 41+13= 54 (B)

41+13=54 this is the ans

-2x-7+9-2= Please can i have an answer

Answers

Answer:

-2x

Step-by-step explanation:

-2x-7+9-2

Combine like terms

-2x +0

-2x

Answer:

-2x

Step-by-step explanation:

from the question

-2x-7+9-2=

step 1

collect the like terms

we have,

-2x-7+9-2

-2x + 2 -2

-2x + 0

-2x

therefore the answer to the question -2x-7+9-2 is equal to -2x

Help!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x > - 8 or x < 2

Step-by-step explanation:

Given

- 8 < 2(x + 4) or - 3x + 4 > x - 4

Solve each part separately

- 8 < 2(x + 4) ← divide both sides by 2

- 4 < x + 4 ( subtract 4 from both sides )

- 8 < x , thus

x > - 8

OR

- 3x + 4 > x - 4 ( subtract x from both sides )

- 4x + 4 > - 4 ( subtract 4 from both sides )

- 4x > - 8

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity

x < 2

Solution is x > - 8 or x < 2

3 inches is what fraction of a foot?​

Answers

Answer:

  1/4

Step-by-step explanation:

There are 12 inches in a foot, so 3 inches is 3/12 of a foot. As a reduced fraction, that is 1/4 of a foot.

Answer: 1/4 of a foot.

Step-by-step explanation: If you ever see this, I'm guessing you're in Elementary. But all3 of your questions have gotten me weak.

Please answer it now

Answers

Answer:

1306.90≅  1307 rounded to the nearest tens

Step-by-step explanation:

r= radius = 13 cm

l is the slant height =19 cm

surface area of the cone= area of the circle + area of the curved of the cone

SA=πrl +πr²

SA=π(13)(19) +169π

SA= 247π +169π= 416π=1306.90≅  1307 rounded to the nearest tens

evaluwate 5(14-2to the third power)+8/2

Answers

Answer:

216,004

Step-by-step explanation:

so 5(14-2)third power + 8/2,

that would be

5(12)third power + 8/2

(60) third power + 4

216,000 + 4

The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC's products and services.

Answers

Full question :

The Tasty Sub Shop Case:

A business entrepreneur uses simple linear regression analysis to predict the yearly revenue for a potential restaurant site on the basis of the number of residents living near the site. The entrepreneur then uses the prediction to assess the profitability of the potential restaurant site.

And

The QHIC Case:

The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC’s products and services.

Discuss the difference in the type of prediction in both cases and provide rational of the reasons that these predictions were used.

Answer and explanation:

In the first case, The Tasty Sub Shop Case, the entrepreneur aims to utlilize the predicted values from his regression analysis in ascertaining profit of his potential business. He does this using the values from number of residents in the area(independent variables) to predict the revenue for his business(dependent variables). His predictions using the number of residents in the area are largely because the residents in the area are his target consumers and are the ones to buy food from his restaurant and increase his revenue.

In the other case, the marketing department in QHIC utilizes the predicted values in determining their customers who need to be aware of their products. They get the predicted values(home upkeep expenditure and dependent variable) by plotting their relationship with home value(independent variable) and then use predicted values of home upkeep expenditures in determining their customers who they will market their products to. They do this because predicting home upkeep expenditures will enable them determine what homes can afford or will need their products and services.

one utilizes his predictions at ascertaining profit while the other uses his predictions in determining potential customer base to market products to. The first case is making a revenue/ profitability prediction while the other is making a market prediction

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Answers

Answer:

See explanation

Step-by-step explanation:

a) 15:20 - 12:35 = 14:80 - 12:35 = 2 hours and 45 minutes

b) 13:05 - 10:15 = 12:65 - 10:15 = 2 hours and 50 minutes

c) 6:50 - 4:30 = 2 hours and 20 minutes

d) 1:15pm - 9:55am = 13:15 - 9:55 = 12:75 - 9:55 = 3 hours and 20 minutes

Answer:

a) 15:20 - 12:35 = 14:80 - 12:35 = 2 hours and 45 minutes

b) 13:05 - 10:15 = 12:65 - 10:15 = 2 hours and 50 minutes

c) 6:50 - 4:30 = 2 hours and 20 minutes

d) 1:15pm - 9:55am = 13:15 - 9:55 = 12:75 - 9:55 = 3 hours and 20 minutes

Step-by-step explanation:

Can someone help me? Thanks!

Answers

Answer:

question 11: A

question 12: B

Step-by-step explanation:

Thanks calculator :)

Answer:

11. less than

12.less than

hope this helps

Step-by-step explanation:

What is the slope of the line represented by the equation y
4 X - 3?
0.-
to

Answers

Answer:

The slope is 4/1

Step-by-step explanation:

for every 4 units you go up on the y-axis, you go 1 unit on the x-axis.

Convert 75 miles per hour to feet per second ​

Answers

Answer:

110 feet per second

Step-by-step explanation:

You would mutiply your speed in miles per hour by 5,280. That's the number of feet in a mile and your result is your speed in feet per hour.

75 x 5,280 = 396,000 feet per hour

Then you would divide your speed by 60 and that result is your speed in feet per minute.

396,000 / 60 = 6,600 feet per minute

Lastly, you would divide that speed by 60 and the result is your speed in feet per second.

6,600 / 60 = 110 feet per second

The conversion of 75 miles per hour to feet per second is approximately 110 feet per second.

How do we convert units from miles per hour to feet per second?

We can do this by using conversion factors that relate the two units. Specifically, we can use the fact that 1 mile equals 5,280 feet and 1 hour equals 3,600 seconds.

To convert miles per hour to feet per second, we need to multiply the value in miles per hour by a conversion factor that will cancel out the "miles" unit and replace it with "feet," and another conversion factor that will cancel out the "hours" unit and replace it with "seconds."

So, first we convert miles per hour to feet per hour by multiplying 75 miles/hour by 5,280 feet/mile.

This gives us:

= 75 miles/hour x 5,280 feet/mile

= 396,000 feet/hour

Next, we convert feet per hour to feet per second by dividing by 3,600 seconds/hour.

This gives us:

=396,000 feet/hour ÷ 3,600 seconds/hour

= 110 feet/second

Therefore, 75 miles per hour is approximately equal to 110 feet per second.

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Christine went shopping and bought each of her ten nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $164.94 on thegifts. How many videos and how many CDs did she buy Malcolm Lewis has come up with the idea of a system for picking up people's cars while they are at work, washing and waxing them, and returning them for a fee. Having been a big success in his home city, Malcolm plans to expand his operation into other cities. The service described here seems best suited to Just need helpthe equations are above Becky's ship is 43 miles west all the harbor.Clyde's yacht is a5 miles north from Beery. Howfar is Clyde from the Harbor? Show your work.x= Harbor25B.43 Question: 4 x 1 2/5 Answer with a mixed number in simplest form! Solve 2x^2+12=x3 help Which phrase best completes the sentence? Margarita: Fuimos _________________________ unas faldas, unos cinturones de marca, un vestido para Juanita y un lente nuevo para mi cmara. A. al supermercado y compramos B. a la feria artesanal y compramos C. al almacn y compramos D. al mall y compramos 4. What is the name of the map tool that measures distance? Esmereldas family went out to dinner paying 20% tip at the end of the meal. Their credit card was charged $51.00. What was the amount on the bill without the tip Do each of the following in the main function: a) Write the function prototype for function zero, which takes a double array big_nums and does not return a value. b) Write the function call for the function in part a. c) Write the function prototype for function add1AndSum, which takes an integer array one_small and returns an integer. d) Write the function call for the function described in part c. Select the correct text in the passage. What is Atellan farce? (A.) Atellan farce originated in Etruria, Italy. (B.) The Atellan farce was a type of Greek drama. (C.) Under Atellan farce, plays would comprise a simple plot, stock characters, masks, physical comedy of slapstick, and parody. please help asap Which statement describes the damage that results from earthquakes? A: Amount of damage can be used to determine intensity. B: Damage can be measured using the Richter scale. C: The amount of damage increases as magnitude decreases. D: Earthquakes that cause maximum damage are the most common. You are on your daily jog when a car negligentlypulls out in front of you. Unable to stop, you run intoit and injure yourself. Should you be able to recoverdamages for the harm done to you? One angle of a triangle has a measure of 66 degrees. The measure of the third angle is 57 degrees more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 180 degrees. What is the Measure of the second angle? What is the measure of the third angle? shannon is paid 1150 a month after deductions.what is her net annual salary?(a year=12 months ) Millions of Americans moved out of urban ethnic neighborhoods and isolated rural enclaves into the army and industrial plants where they came into contact with people from various backgrounds, creating a melting pot that historians call Group of answer choices the second new wave. real Americanism. culture shock. patriotic assimilation. Candy is on sale for $0.75 each. You have a coupon for $0.25 off your total purchase. Write a function rule for the cost of n pieces of candy identify the factor relevant in each investigation ? The development manager is required to choose between two projects. Project A has an IRR of 25% and project B has an IRR of 30%. Which of the following statements is correct? A. If she can invest only in one project, the manager will choose project B B. None of the statements above is correct C. If she can invest only in one project, the manager will choose project A D. If she can invest in both projects, the manager will choose both projects A and B what does Woche mean