given the equation y=2x+3 and the values for x: -1, 0, 1 and 2. what are the corresponding y values?

Answers

Answer 1

Answer:

The y's are 1, 3, 5, 7

Step-by-step explanation:

You have equation y = 2x + 3

You can think of this as a "rule" So whenever you're given a number (a value for x) you put the number in place of the x and times by two then add three.

you were given a list of numbers. They will go one at a time and have a turn being acted on by the rule.

It looks like this: first when x is -1.

take the -1 times by 2 >>>> that's -2 and then add 3 >>>> so you get 1.

y = 2x +3, x= -1

y = 2(-1) + 3

y = 1

You might have a column to write the answers in like next to their x's. Or sometimes we write them in pairs (-1 , 1)

y = 2x + 3; x = 0

y = 2(0) + 3

y = 3

(0, 3)

y = 2x + 3; x = 1

y = 2(1) + 3

y = 5

(1, 5)

y = 2x + 3; x = 2

y = 2(2) + 3

y = 7

(2, 7)


Related Questions

Which of the following is the graph of the function shown above? See file

Which of the following is the graph of the function shown above? See file

Answers

Answer:

what we have to tell

Step-by-step explanation:

please send the correct information

Answer:

The answer on PLATO is Graph Z.

Step-by-step explanation:

I just had this question and got it right!!!

Hope this Helps!!!

I need help with this please​

I need help with this please

Answers

Answer:

30°

Step-by-step explanation:

cos Ф = 35/38

arccos (.92105) = 30°

the sum of four number is 20500.three of the numbers are 2341.578 and 10690.What is the fourth number?​

Answers

Answer:

5216.844

Step-by-step explanation:

Let x be the fourth number.

We know that the sum of the four numbers is 20500:

2341.578 + 10690 + x + 2341.578 = 20500

Simplifying and solving for x:

x = 20500 - 2341.578 - 10690 - 2341.578

x = 5216.844

13. Determine if the following statement is true or false. Explain your reasoning.
The graph of a non-vertical straight line is always a function, but the graph
of a function is not always a straight line.

Answers

The evaluation of the statements with regards to the graph of a function are;

The graph of non-vertical straight line is always a function, but the graph of a function is not always a straight line is true.

What is a function?

A function maps an input value to an output based on a definition or rule.

First part of the statement;

The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞

The equation of a straight line function is of the form; y = m·x + c

Therefore;

The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.

Second part of the statement.

The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.

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Perimeter of the computer chip. Length 7.18×10⁻⁷ meters, width 3.4×10⁻⁹ meters

Answers

Perimeter of computer chip = 14.428 * ( \(10^{-7}\) ) meters .

Given : length = 7.18×10⁻⁷ meters

            breadth = 3.4×10⁻⁹ meters    

To find = perimeter of computer chip

Formula for perimeter of a rectangle :      

Perimeter = 2 ( length + breadth )

Calculations :

Perimeter = 2 [ (  7.18×10⁻⁷ ) + ( 3.4×10⁻⁹ ) ]

On simplifying ,

                = 2 [ \(10^{-7}\) ( 7.18 + 0.034 )

            = 2 [  \(10^{-7}\) ( 7.214 ) ]

              = 14.428 * ( \(10^{-7}\) ) meters

Hence , perimeter = 14.428 * ( \(10^{-7}\) ) meters .

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Use the triangle sound determine whether the given angles or side represents corresponding angles corresponding sides or neither

Use the triangle sound determine whether the given angles or side represents corresponding angles corresponding

Answers

As given by the question

There are given that the two triangle

Now,

The correspondings angle of the given triangle is:

\(\begin{gathered} \angle A=\angle D \\ \angle C=\angle F \\ \angle B=\angle E \end{gathered}\)

And

The corresponding sies are:

\(\begin{gathered} AC=DF \\ AB=DE \\ BC=EF \end{gathered}\)

Hence, the correct option is 2 and 3.

. Predict how the display may look after another 20 minutes.
erature

Answers

Answer:

creature

Step-by-step explanation:

it's definitely creature

Please choose the option that would best fit the empty space above: Group of answer choices only one optimal solution multiple optimal solutions no solution, since it is infeasible no best solution, since it is unbounded None of the above

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In this question, some of the data is missing, that's why this question  can be defined as follows:

It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.

When there is Just one perfect solution(optimal solution) then the equation is:

\(Max \ Z = \$ 5x_1 + \$10x_2\\\\Subject\ to: \\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0\)

When there are Several perfect solutions then the equation is:

\(Max \ Z = \$ \ 200x_1 + \$ \ 100x_2\\\\ Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0\)

When there is also no solution, since it is unlikely then the equation is:

\(Max \ Z = \$40x_1 + \$10x_2 \\\\Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\)

When there is no best solution since it is unbounded then the equation is:

\(Max \ Z = \$ 30x_1 + \$15x_2 \\\\Subject to:\\\\8x_1 + 5x_2 \geq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\\\)

There are 27
basketball players on the Greenland Basketball Team.
Of the 27 players, 1/9 of them are left-handed. How
many players are left handed? Be sure to show your

Answers

Answer:

3 players

Step-by-step explanation:

So, all you have to do is multiply 27 by 1/9 to get 3. Or, you could try figure out what number needs to be multiplied by 9 to get 27, which is also 3.

Select the correct answer.
The daytime temperature in Apple Valley is falling by 2.5 degrees each day. What will the net change in the daily temperature be after one calendar week?

Answers

The correct ois D. -17.5 degrees
Step-by-step explanation:
The daytime temperature in Apple Valley is
falling by 2.5 degrees each day
Therefore, Change in the temperature each day
=-2.5 degrees
Now, we need to find the net change in the daily
temperature after one calendar week
Now, number of days in one calendar week = 7
So, Net change in the daily temperature after
one calendar week = Daily change × Number of
days in one calendar week
Net change in the daily temperature after
one calendar week =-2.5 x7
# Net change in the daily temperature after
one calendar week =-17.5 degrees
Therefore, The correct option is -17.5
degrees

DIRECTIONS: Circle the analogy that BEST matches the bold words.
1. QUART: GALLON
a) centimeter: meter
b) quart: cups
c) four: five
d) quarter: dollar
4. PENTAGON : POLYGON
a) rice : grain
b) aircraft: plane
c) five : sides
d) rhombus: circle
2. TRIMESTER : MONTHS
a) book: chapters
b) three: period
c) days: week
d) yearly: weekly
5. TRIDENT: THREE
a) spear : fork
b) Poseidon : Zeus
c) fishing : tool
d) duplex: two

Answers

Answer:

1. d)

4.a)

2.a)

5.d)

Step-by-step explanation:

A triangle has vertices at (-8,7)(1,-6)(5,9).find the area of the triangle using 3 methods.

1.herrons formula

2.find the height of the triangle by finding the equations of the base and altitude The using the formula A=1/2bh

3.using rectangle formula

Answers

After answering the provided question, we can conclude that Therefore, the area of the triangle is approximately 49.808 square units.

What precisely is a triangle?

A triangle is a closed, double-symmetrical object that consists of three line segments called ends of the spectrum that intersect at three points called vertices. Triangles can be distinguished by their sides and angles. Triangles can be equilateral (equal factions), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), okay (one angle equal to 90 degrees), or orbicular (all angles greater than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is its height.

1. Using Heron's Formula:

a = √[(-8-1)² + (7-(-6))²] = √170

b = √[(1-5)² + (-6-9)²] = √221

c = √[(-8-5)² + (7-9)²] = √170

where a, b, c are the lengths of the sides of the triangle.

\(s = (a+b+c)/2 = (\sqrt170 + \sqrt 221 + \sqrt 170)/2 = 10.231\\A = \sqrt s(s-a)(s-b)(s-c)= \sqrt 10.231(10.231-\sqrt 170)(10.231-\sqrt 221)(10.231-\sqrt 170)= 49.808\)

Therefore, the area of the triangle is approximately 49.808 square units.

2. Using the Base and Altitude:

\((y - 7)/(x + 8) = (9 - 7)/(5 + 8)\\(y - 7)/(x + 8) = 2/13\\y = (2/13)x + (101/13)\\\)

slope line passing through (-8,7) and (1,-6) is:

(\(-6 - 7)/(1 + 8) = -13/9\\(y + 6)/(x - 1) = 9/13\\y = (9/13)x - (63/13)\\\)

height of the triangle:

\((2/13)x + (101/13) = (9/13)x - (63/13)\\x = 32/11\\y = (9/13)(32/11) - (63/13) = -2.231\\\)

Using the formula A = (1/2)bh, we have:

\(A = (1/2)(\sqrt(1-(-8))² + (-6-7)^2)(2.231) = 49.808\)

Therefore, the area of the triangle is approximately 49.808 square units.

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Roman numerals of 900​

Answers

Answer:

900 = CM

900 = 1000 - 100

= M - C

= CM

Answer: CM

There are 35 boys in band and 49 girls in band. Ryan says that the ratio of 10 poi boys to girls is 5 to 7. Which statement is true?
A He is right because 5 x 7 = 35 and 7 x 7 = 49. Since they are both multiplied by 7, they are equal.
B. He is wrong because the ratio of 5 to 7 is smaller than the ratio 35 to 49.
C. He is right because 35 and 49 are larger numbers than 5 and 7.
D. He is wrong because 35 and 49 are larger numbers than 5 and 7.​

Answers

Answer:

A. He is right because 5 x 7 = 35 and 7 x 7 = 49. Since they are both multiplied by 7, they are equal.

Step-by-step explanation:

Explained in the answer.

Lauren has a garden in the shape of a rectangle where the length is 5.4 meters and 1.5 meters. She plans on increasing both the length and width by 40%

Answers

Answer:

5.4 = 7.56

1.5 = 2.1

Step-by-step explanation:

Just find the answer for 40% of the given meters.

what is the surface area of a sphere with a radius of 12 centimeters

A) 302cm^2

B) 452cm^2

C) 576cm^2

D) 1810cm^2

Answers

The surface area of the sphere is 1810 cm²

What is a sphere?

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive

Answers

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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A car purchased for $20,000 depreciates annually at a rate of 8%. What will be the approximate value of the car in the 10th year?

Answers

Answer:

$4000

Step-by-step explanation:

20000x0.08=1600

1600x10=16000

20000-16000=4000

Answer:

$8687.76

Step-by-step explanation:

100-8=92

20,000*0.92=18400 (This is after one year)

20,000*0.92^10= 8687.7690 (After 10 years)

If f(x)
=
OA.
A.
2+1, what is the value of f-¹ (3)?
22
B. 19
OB.
C.
O D.
13
OE. 11

Answers

The value of the inverse function f-¹ (3) is (e) 11

Calculating the value of the inverse function

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 8

To calculate the inverse value at f-¹ (3)

We set the value to 3

using the above as a guide, we have the following:

x - 8 = 3

Evaluate the like terms

x = 11

Hence, the value of the inverse function is (e) 11

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Complete question

if f(x) = x - 8, what is the value of f-¹ (3)?

0.2-0.3 what is the midpoint?

Answers

Answer:

0.25

Step-by-step explanation:

write and solve an inequality to find the possible values of x

write and solve an inequality to find the possible values of x

Answers

The inequality that represents the value of x is (b)  x > 80

Writing and solving the inequality for x

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Is x = 3 a solution to the equation 8= 2x + 3

yes or no

Answers

Answer:

NO

Step-by-step explanation:

substitute x=3  into the equation

2(3)+3

=9

Therefore x=3 is not a solution

Answer:

No, it is not a solution.

Step-by-step explanation:

x = 3

8 = 2x + 3

8 = 2 (3) + 3

8 = 6 + 3

8 ≠ 9

Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
notebooks, and made $19. Club B sold 1 t-shirt and 1 notebook, for a total of $8.
-
Use matrices to solve the equation and determine the cost of a t-shirt and the cost of a notebook. Show or explain all necessary:

Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event.

Answers

Using matrices the simultaneous equation is solved to get x = 3 and y = 5

How to solve the simultaneous equation using matrices

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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For a pyroclastic flow travelling at a constant​ speed, the relationship between distance traveled​ (d), rate​ (speed), and time​ (t) is​ d=rt.
Find the time in minutes at which a pyroclastic flow will reach a town 30 kilometers​ (~19 miles) away if the flow is travelling at a constant rate of 3​ km/min (~100 miles per​ hour). (Give answer to 1 decimal​ place.)
Find a function t that gives the time it takes for a pyroclastic flow to travel 30 kilometers at a constant rate of r kilometers per​ minute, and state the domain of t.
Find a function r that gives the speed of the pyroclastic flow when 30 kilometers are covered in t​ minutes, and state the domain of r.​ (Note however that the maximum speed of a pyroclastic flow is 10​ km/min, that​ is, the maximum value of the function​ r(t) is 10​ km/min).
Find a function d that gives the distance that the flow will travel in 30 minutes at a constant rate of r​ km/min, and state the domain of d.

Answers

The time in minutes at which a pyroclastic flow will reach the town  is 0.3 minutes and the functions are t = 30/r, r = 30/t and d = 30r

Find the time in minutes at which a pyroclastic flow will reach a town 30 kilometers​ (~19 miles) away

Here, we have:

Distance = 30 kilometers

Rate = 100 kilometers per minute

The time is calculated as:

Time = Distance/Rate

So, we have

Time = 30/100

Evaluate

Time = 0.30

Hence, the time in minutes at which a pyroclastic flow will reach the town  is 0.3 minutes

Find a function t that gives the time it takes for a pyroclastic flow to travel 30 kilometers

Here, we have

Distance = 30 kilometers

Rate = r

The time is calculated as:

Time = Distance/Rate

So, we have

t = 30/r

Hence, the function for time is t = 30/r and the domain is r > 0

Find a function r that gives the speed of the pyroclastic flow when 30 kilometers are covered in t​ minutes

Here, we have

Distance = 30 kilometers

Time = t

The time is calculated as:

Time = Distance/Rate

So, we have

t = 30/r

The maximum speed is 10 km/min

So, we have:

t = 30/10 = 3

Rewrite t = 30/r as:

r = 30/t

Hence, the function for rate is r = 30/t and the domain is 0 < t < 3

Find a function d that gives the distance that the flow will travel in 30 minutes at a constant rate of r​ km/min

Here, we have

time = 30 minutes

Rate = r

The time is calculated as:

Time = Distance/Rate

So, we have

30 = d/r

So, we have

d = 30r

Hence, the function for time is d = 30r and the domain is r > 0

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Which system of equations has infinitely many solutions?
O A. 3y = -5x + 7
3x = -5y - 7
B. 3y = x - 4
3x - 9y = -12
C. 2x + y = 2
-4x - 2y = 4
OD. 2y = 3x + 6
4y = 6x + 12

Which system of equations has infinitely many solutions?O A. 3y = -5x + 73x = -5y - 7B. 3y = x - 43x

Answers

Answer:

\( \frac{56}{64 |3y| } \)

Step-by-step explanation:

hope it help

Answer:

2y = 3x + 6

4y = 6x + 12

Step-by-step explanation:

This is the only one with infinite solutions

Misty surgery lasted 2 1/4 hours. Convert the time to seconds

Answers

Answer:   8100 seconds

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

Work Shown:

1 hour = 60 minutes

2 hours = 120 minutes (multiply both sides by 2)

1/4 hour = 15 minutes (divide both sides of the first equation by 4)

2 & 1/4 hours = 2 hours + 1/4 hour

2 & 1/4 hours = 120 minutes + 15 minutes

2 & 1/4 hours = 135 minutes

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

1 minute = 60 seconds

135 minutes = 8100 seconds (multiply both sides by 135)

2 & 1/4 hours = 8100 seconds

In the similar triangles below , what is the measure of D

In the similar triangles below , what is the measure of D

Answers

The measure of angle D is 45°

What are similar triangles?

Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.

And also the ratio of corresponding sides of similar triangles are equal.

To know the corresponding angles

side AC is corresponding to side EF, therefore angle D is congruent to angle A

angle D = 45°

OR , we can use the sum of angles In a triangle , which is 180°

angle D = 180 -( 72+63)

= 180 - 135

= 45°

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What is the area of the parallelogram 60ftx67ft-52ft

Answers

To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.

New height = 67ft - 52ft = 15ft

Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.

Therefore, the area of the parallelogram is 900 square feet.

~~~Harsha~~~

Decimal points are sometimes used in hotel room numbers. If you were assigned to room 6.10, where you expect to find it?​

Answers

Answer:

the 10th room on the 6th floor

Step-by-step explanation:

I would guess that the 6 would be the floor number since is a whole number than the 10 would be the room on said floor because it after the 6.

If you were assigned to room 6.10, you would expect to find it in 6th floor and room number 10.

What is decimal?

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

Decimal points are sometimes used in hotel room numbers.

Any decimal number has whole part and fractional part.

Then whole part = number of floor.

Fractional part = number of rooms.

Then if number is 6.10,

then 6th floor and room number 10.

Therefore, 6th floor and room number 10.

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Fill in the missing numbers below.

5 feet + 12 inches = blank
yard(s)

Blank inches = 1 foot + 1 yard


Blank feet = 3 feet + 24 inches

Answers

Answer:

5 feet + 12 inches = 2 yards

48 inches = 1 foot + 1 yard

5 feet = 3 feet + 24 inches

Step-by-step explanation:

To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:

1 feet = 12 inches

3 feet = 1 yard

To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.

12 inches = 1 feet

Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.

Blank inches = 1 foot + 1 yard

To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.

Blank feet = 3 feet + 24 inches

Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.

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