Solve: y = 2x. y = -x+3. Write the coordinates (__, __)

Answers

Answer 1

Answer:

(1,2)

Step-by-step explanation:

y = 2x. y = -x+3

Set the two equations equal

2x = -x+3

Add x to each side

2x+x = -x+x+3

3x = 3

Divide by 3

3x/3 = 3/3

x = 1

Now find y

y =2x = 2(1) = 2

(1,2)

Answer 2

Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.

We are given the equations below:

\( \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}\)

Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.

\( \large{2 x = - x + 3}\)

Isolate the x-term by adding both sides by x.

\( \large{2x + x = - x + 3 + x} \\ \large{3x = 3}\)

Divide both sides by 3 so we can finally get the x-isolated equation.

\( \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }\)

Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.

\( \large{y = 2x}\)

Substitute x = 1:

\( \large{y = 2(1) \longrightarrow y = 2}\)

The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).

Answer

(1,2) is the solution.

I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!


Related Questions

On the Mertler’s vacation to Florida, they drove 180 miles in 3 hours before stopping for lunch. After lunch they drove 120 miles in 2 hours before stopping for gas. Are these rates equivalent? Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

180/3 = 60

120/2 = 60

Just make it into a fraction and divide. They are driving 60 mph.

-1/3 + -1/3 help pls plssssssssssssssssss

Answers

Answer:

-2/3

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

How do you simplify an equation?

Answers

Answer:

see explanation below

if you have any questions on equation you can send it to me

Step-by-step explanation:

We have various of ways in which we can simplify an equation

for example

simplify: 2x – 4 = 10

soln

2x – 4 = 10

since we are looking for x we need to collect like terms

2x = 10 + 4

2x = 14

Then we will divide both sides by 2 to get x

x = 14/2

x = 7

N.B:- after solving an equation if you want to check the answer just substitute for the value

2x – 4 = 10

2(7) – 4 = 10

14 – 4 = 10

10 = 10

LHS = RHS

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In Foundations of Art, students are cutting circular paper plates into sectors. If the diameter of the plate is 22 cm, determine the central anglenecessary to create a sector with an area of 220 cm². Round to nearest thousandth if necessary.

Answers

STEP 1

Interpret question to make sense geometrically.

We have circular shapes, thus, we are dealing with circles and these circles have their area, however, we seek the angle with which when used to cut the circle will give us an area of 220 sq cm.

Note that this is a fraction of the total area of the circle.

This will be illustrated diagrammatically below

Area of a sector is given as:

\(\begin{gathered} \frac{\theta}{360}\times\pi(\frac{d^2}{4}) \\ \text{The question requires us to get the angle }\theta\text{ after equationg the expression to 220 sq cm} \end{gathered}\)

STEP 2

Find unknown

\(\begin{gathered} \text{Making }\theta\text{ the subject of the formulae gives} \\ \theta=\frac{220\times360\times4}{\pi\times22^2}=208.348^o \end{gathered}\)

The ci

In Foundations of Art, students are cutting circular paper plates into sectors. If the diameter of the

Ruby’s model for a Fourth of July party hat is shown. The model is composed of a rectangle and 2 right triangles. What is the area of Ruby’s model for a Fourth of July party hat?

Rubys model for a Fourth of July party hat is shown. The model is composed of a rectangle and 2 right

Answers

Total area of Ruby’s model for a Fourth of July party hat is 182.75 square centimeter.

What is Area of Rectangle?

The area of Rectangle is length times of width.


Let us find the area of the red colour right triangle.

Area of red triangle=1/2×13.5×9

=60.75 square cm.

Area of blue triangle=1/2×8×9

=36 square cm.

Area of rectangle=Length×breadth

=(13.5+8)4

=21.5×4

=86 square cm.

The total area of Ruby’s model for a Fourth of July party hat is

60.75+36+86

182.75 square centimeter.

Hence, total area of Ruby’s model for a Fourth of July party hat is 182.75 square centimeter.

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the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room​

Answers

Answer:

Given :-

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room

To Find :-

Length and breadth

Answer :-

Let the length and breadth be l + 2 and l

Now,

\( \large \sf \: Area = l + 2 \times l \)

\( \large \sf \: 63 = l + 2 \times \: l\)

\( \large \sf \: 63 = 2l + {l}^{2} \)

\( \large \sf \: {l}^{2} + 2l - 63 = 0\)

\( \large \sf \: {l}^{2} (9l - 7l) - 63 = 0\)

\( \large \sf \: l(l + 9) - 7(l + 9)\)

Either

\( \large \sf \: l = - 9\)

or,

\( \large \sf \: l = 7\)

Length can't be negative,

So,

L = 9

B = 7

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PLS HELP REALLY NEED HELP!!!!!!!!!!!!!!!

PLS HELP REALLY NEED HELP!!!!!!!!!!!!!!!

Answers

Answer:

the answer is A

Step-by-step explanation:

Answer:

A. - ∞ < x < ∞

Step-by-step explanation:

help...me...plz..!!.....?

help...me...plz..!!.....?

Answers

Answer:

\(\huge\boxed{-1}\)

Step-by-step explanation:

\(\frac{-5^2}{(-5)^2}\)

=> \(\frac{-25}{25}\)

=> -1

Answer:

-1

Step-by-step explanation:

-5^2 is -25 because you have to do exponents first, so 5^2 is 25. Add a negative symbol there, it becomes -25.

For the denominator, we do the exact same process, except a little different. Since there are parentheses around the negative five, we have to apply the negative symbol on the 5 before we do the exponents. After, we do -5^2 which is 25 because when you are multiplying negative, you always get a positive.

When we are all done with that, we put the numerator over the denominator to get -25/25, which is equivalent to -1.

What is the value of (-4) (-8)?
A -32
B -12
C 3
D 32

Answers

Answer:

d the negatives canceled each other out making it positive

\(\text {Hi! Let's Solve this Problem!}\)

\(\text {When Multiplying 2 Negatives it'll equal a Positive Number.}\)

\(\text {Just think of this problem as 4*8}\)

\(\text {When you Multiply -4*-8 you get the same answer}\)

\(\fbox {32}\)

\(\text {This rule also applies for Dividing 2 Negative Numbers.}\)

\(\text {Your answer will be a Positive Number.}\)

\(\text {Best of Luck!}\)

The areas of the squares adjacent to two sides of a right triangle are shown below.

What is the area of the square adjacent to the third side of the triangle?​

The areas of the squares adjacent to two sides of a right triangle are shown below.What is the area of

Answers

Answer:

\(85\:\mathrm{units^2}\)

Step-by-step explanation:

All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.

All right triangles must follow the Pythagorean Theorem \(a^2+b^2=c^2\) where \(c\) is the hypotenuse of the triangle.

Therefore, let \(h\) be the side length of this largest square. Since the area of a square with side length \(s\) is given by \(s^2\), \(h^2\) will represent the area of the square:

\(\sqrt{35}^2+\sqrt{50}^2=h^2=\boxed{85\:\mathrm{units^2}}\)

Answer:

85

Step-by-step explanation:

We can use the Pythagorean theorem (a^2+b^2=c^2) to find the area of square adjacent to the third side.

Area of a square=side^2

So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2, and c^2 in the Pythagorean theorem.

For example, in the diagram above, the area of the square that shares a side with side length a is 35 square units. So, a^2=35.

Let's fill in the remaining values:

a^2 + b^2 = x^2

35+50-x^2
85=x^2
The area of the square adjacent to the third side of the triangle is 85 units^2.

Rachel made $128 for 8 hours of work.

At the same rate, how much would she make for 12 hours of work?

Answers

Answer: $192

Step-by-step explanation:

1. Rachel makes $128 for 8 hours of work.

2. Rachel makes x for 12 hours of work.

3. 128 x 12 = 1536

4. 1536/8 = 192

5. Rachel makes $192 for 12 hours of work.

1) A dolphin swam to a depth of 110 feet below sea level. Then, it rose 85 feet. What was
the dolphin's final depth?

Answers

Answer:

The dolphin's final depth was -25 feet.

Step-by-step explanation:

Answer:

25 feet

Step-by-step explanation:

110 - 85=25

Instructions: Find the missing side. Round your answer to the nearest
tenth.
63°
19
х
X =

Instructions: Find the missing side. Round your answer to the nearesttenth.6319X =

Answers

Answer:

x = 37.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 63 = x /19

19 tan 63 =x

x=37.28959

To the nearest tenth

x = 37.3

validity is :
a. an entity that can take on different values. b. the consistency in measurement. c. the strength of the relationship between two variables. d. the truth of a measurement

Answers

It is not an entity that can take on different values, the consistency in measurement, the strength of the relationship between variables, or the truth of a measurement.

Validity is concerned with the degree to which a measure or conclusion accurately represents the concept or phenomenon it is intended to assess or describe. It focuses on the appropriateness and accuracy of inferences or interpretations based on the measurement or observation. Validity addresses the question of whether a measure or conclusion captures the intended construct or relationship and provides meaningful and reliable information.

Validity is distinct from other concepts mentioned. While an entity can take on different values, it is not synonymous with validity. Consistency in measurement refers to reliability, which is a separate concept related to the consistency and stability of measurements. The strength of the relationship between two variables is typically referred to as the correlation or association, but it is not directly related to validity. Lastly, the truth of a measurement is a broader philosophical concept, but validity specifically relates to the accuracy and appropriateness of a measure within a specific context or purpose.

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Using a number cube and a
Coin, what is the
probability of landing on
tails and rolling a 3?

Answers

Answer:

1/12

Step-by-step explanation:

The probability of landing on tail = 1/2

The probability of rolling a 3 = 1/6

The probability of doing BOTH is 1/2 x 1/6 = 1/12

You and your friends decide to go to the recreation center to play pickup basketball. You decide to play the game 21 where a layup equals 1 point and a jump shot equals two points. You made 11 layups and need to decide how many jump shots you need to make in order to win… Remember that you must not go over 21 points or you lose.​

Answers

Answer:

5 jump shots.

Step-by-step explanation:

Let l = number of layups and j = number of jump shots

l + 2j = 21

11 + 2j = 21

2j = 10

j = 5

5 jump shots are needed to win the game and not go over 21 points.

how would i find an equation algebraicaly when my points are (0,3) to (5,3) and would what would be my domain and range? 20 points!!

Answers

Answer:

Step-by-step explanation:

To find the equation of a line when you have two points, you can use the point-slope formula. Here's how to do it:

1. Find the slope of the line using the two points:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (0, 3) and (x2, y2) = (5, 3)

slope = (3 - 3) / (5 - 0) = 0/5 = 0

2. Use the point-slope formula to find the equation of the line:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is one of the points on the line. Using (0, 3) as the point, we get:

y - 3 = 0(x - 0) or y = 3

So the equation of the line is y = 3, a horizontal line passing through y = 3.

The domain of this equation is all real numbers, since x can take on any value and y will always be 3.

The range of this equation is a single value, y = 3, since the line is horizontal and every point on the line has the same y value of 3.

Please solve the equation

Please solve the equation

Answers

Answer: c

Step-by-step explanation:

If a parcel of land originally worth $35,000 increases in values 18% per year, what will the land be worth about in the eighth year?

Answers

Answer:

131560.072

Step-by-step explanation:

Because it is increase so we add humdred to the percent and then divide by hundred - 18+100/100 = 1.18

eight years - 1.18 raised to the pwer of 8

worth - 35000

hence it will be - 1.18 raised to the power of 8 x 35000

thank you

Maggie bought a pound of bananas and 4 boxes of cereal for $10.11. If each box of cereal cost $2.40, what was the price of a pound of bananas? $0.51 $0.61 $1.51 $2.91 I WILL GIVE YOU 23 POINTS!!!! PLEASE ANSWER FAST AND CORRECTLY!

Answers

Answer: the answer is 0.51

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

find the value of b if triangles are similar

find the value of b if triangles are similar

Answers

Answer:

9 because the constant of proportianlity is 3/4 and 3/4 of 12 is 9.

the radius of a circle is 14 yards. what is the circles circumference

Answers

Answer:

roughly 88 but 87.9645943005...

Step-by-step explanation:

First, the formula for the circumference of a circle is 2pi(r), so plugging in 14 yards, you get 28pi roughly 88 but for an actual answer 87.9645943005

what is the equation of 3​

Answers

Answer:

hope it is helpful

Step-by-step explanation:

The equation for which 3 iS a solution is 3x-9=0

hope it's is helpful

A cereal company wants to change the shape of its cereal box includes to attract the attention of the shippers the original cereal box has dimension of 8cm by 3cm by 11cm. The new box, the cereal company thinking of would have dimension of 10cm by 10cm by 3cm.

A)which box holds more cereal
B)which box requires more material to make

Answers

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal.

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make.

To determine which box holds more cereal, we need to calculate the volume of each box.

The volume of a rectangular box is given by the formula:

Volume = Length × Width × Height

Let's calculate the volumes for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Volume = 8 cm × 3 cm × 11 cm = 264 cm³

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Volume = 10 cm × 10 cm × 3 cm = 300 cm³

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal because it has a larger volume of 300 cm³ compared to the original box with a volume of 264 cm³.

To determine which box requires more material to make, we need to calculate the surface area of each box.

The surface area of a rectangular box is given by the formula:

Surface Area = 2 × (Length × Width + Length × Height + Width × Height)

Let's calculate the surface areas for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Surface Area = 2 × (8 cm × 3 cm + 8 cm × 11 cm + 3 cm × 11 cm) = 374 cm²

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Surface Area = 2 × (10 cm × 10 cm + 10 cm × 3 cm + 10 cm × 3 cm) = 380 cm²

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make because it has a larger surface area of 380 cm² compared to the original box with a surface area of 374 cm².

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Did I do it right? There were some more options like numbers too. Please let me know asap!

Did I do it right? There were some more options like numbers too. Please let me know asap!

Answers

Yes all of them r correct
Did I do it right? There were some more options like numbers too. Please let me know asap!

Consider the series [infinity] 9 4n n=1 Determine whether the series converges, and if it converges, determine its value. Converges (y/n): y Value if convergent (blank otherwise): 0

Answers

To determine whether the series ∞ 9 + 4n, where n starts from 1, converges or not, we can analyze the behavior of its terms as n increases.

The series can be rewritten as:

9 + 4(1) + 4(2) + 4(3) + ...

Simplifying, we have:

9 + 4 + 8 + 12 + ...

We can observe that each term is increasing by 4. As n approaches infinity, the terms in the series become larger and larger without bound. Therefore, the series diverges, meaning it does not converge to a specific value.

Hence, the series diverges, and there is no value associated with its convergence.

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Salima wants to buy 10 rolls of wallpaper. She sees these prices. Wallpaper Single roll Pack of 3 rolls Pack of 5 rolls What is the cheapest price for 10 rolls? £9.20 £25.50 £43.05​

Salima wants to buy 10 rolls of wallpaper. She sees these prices. Wallpaper Single roll Pack of 3 rolls

Answers

The cheapest price for ten (10) rolls would be = £25.50. That is option B.

What are wallpapers?

The wallpapers are those designed paper materials that are used in decoration of a room.

The total number of wall paper that Salima needs to buy= 10 rolls.

A single roll of wallpaper = £9.20

A pack of 3 rolls= £25:50

That is 1 roll = X

make X the subject of formula;

£x = 25.50/3

£x = £8.5

A pack of 5 rolls = £43.05

That is 1 roll = X

make X the subject of formula;

£x = 43.05/3

£x = 14.35

Therefore, the cheapest price that can be used to buy 10 rolls would be = £25.50 because one roll would be = £8.5.

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Answer:

Pack of 3 rolls (total of £85.70

Step-by-step explanation:

25.5+25.5+25.5+9.20= £85.70

Given the function f(x) = –0. 5|2x 2| 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution.

Answers

There is no solution for the given function \(\rm f(x) = -0.5|2x+2|+1\) when f(x) = 6 option fourth is correct.

It is given that the function  \(\rm f(x) = -0.5|2x+2|+1\)

It is required to find the values of x when f(x) = 6

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

\(\rm f(x) = -0.5|2x+2|+1\)

And f(x) = 6

Putting the value of f(x) in the above equation, we get:

\(\rm 6 = -0.5|2x+2|+1\)   or

\(\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10\)

Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'

Thus, there is no solution for the given function \(\rm f(x) = -0.5|2x+2|+1\) when f(x) = 6.

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Does the integral of 1 x exist?

Answers

The integral of 1x does not exist as it is a function without a definite integral. This is because the function has no area associated with it. The area under the function is zero and therefore it is not integrable.

In calculus, the integral of a function f(x) is defined as the area under its curve, and is often represented using the symbol ∫f(x)dx. For a function to have an integral, it must satisfy certain conditions, including being continuous over a certain interval and having a finite area under its curve.

However, the function 1/x is not continuous over all intervals, and in particular, it has a vertical asymptote at x=0. This means that as x approaches 0 from either side, the value of 1/x becomes arbitrarily large, resulting in an infinitely large area under the curve for any interval containing x=0.

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chegg This problem has to do with K-Nearest Neighbors classification. Assume that K=1. Suppose that we have a dataset that we split into equally sized training and test subsets. If we get an error rate of 0.06 when averaging the error rate of both subsets, what would we expect the error rate for the training subset to be? You may enter an expression involving the error rate..

Answers

Error rate refers to the frequency or proportion of errors made in a particular context or process. It is commonly used in various fields such as statistics, computer science, and quality control.

To find the error rate for the training subset, we can use the fact that the average error rate is 0.06.

Let's denote the error rate for the training subset as E_train. We can express the average error rate as:

average error rate = (error rate for training subset + error rate for test subset) / 2

0.06 = (E_train + error rate for test subset) / 2

Multiplying both sides of the equation by 2, we get:

0.12 = E_train + error rate for test subset

Since K=1, the error rate for the test subset would be 0.12 - E_train.

Therefore, we can expect the error rate for the training subset to be 0.12 - E_train.

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what did the constitution replace as our governing document in the united states? find a pair of numbers whose sum and product are both equal to 24.(Use symbolic notation and fractions where needed.) x1x2 Module 5:1 - Alcohol Use and TeensWhat are two reasons not to drink alcohol?Why should a person not use alcohol to cope with problems?How can using alcohol affect a teens development?Module 5:2 - Effects of Alcohol UseWhat kinds of long term damage can alcohol use cause?(Describe 3)Why is a person under the influence of alcohol more likely to engage in other high-risk behaviors?What are 2 effects of fetal alcohol syndrome?just copy and paste this and answer them i need them soon im studying for a 180 point test i dont really have time for this What could happen if we view things from the perspective of only one language or only one kind of literature? Find the difference using fraction bars or a paper and pencil. Write your answer in simplest form. 7/10 - 1/2 When you hold your breath, which of the following blood gas changes first leads to the urge to breathe? a. rising O c. rising CO b. falling O d. falling CO At the motel, we used the exercise room and (swam) inthe outdoor pool.In the sentence above, the () part should bewritten:Group of answer choicesA)swammedB)swumC)swimmedD)swam It is the helping word questions? The children .... Playing in the garden? This soup ..... Not taste very nice ? I wearing my new jeans ? James ....... Forgotten his football boots? ........ All these books belongs to you ? The furniture....... Made of wood from the forest? Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.Determine the equation of the line of fit. y = 5x + 70 y = 5x + 80 y = 10x + 70 y = 10x + 80 A. They are less dense near the top of the atmosphere B. They are least dense in the atmosphere near sea level.C. They are evenly dense throughout the atmosphere. D. They are densest near the middle of the atmosphere. Do humans have elements on the periodic table?. What will be the output of the following code?#includevoid fun(int);int main(){int a=3;fun(a);return 0;}void fun(int n){if(n>0){fun(--n);printf("\n%d",n);fun(--n);}} The cost of 3 diaries is 12Work out the cost of 7 diaries.Your final answer must say, 7 diaries cost Help pls ASAP!!!!!!!! Last week john read that labels can bias perceptions, so he does not support placing diagnostic labels on psychological problems. if you were trying to convince him that these types of labels do also have some benefits, you might tell him that mental health professionals use labels to ______ to advise prospective customers about the attributes of a product. Is 26% greater than 3/8? Explain reason why do online merchants often ask a customer to provide their credit cards CVN. if/you/write/carefully , you / make / fewer / mistakes. Describe the Gupta Empire of ancient India.