sketch graphs of the following on the same plane using different colours y=2x-3;y=-3;x=-3;2x+3y-6=0​

Answers

Answer 1

The graph of the four linear equations is the one we can see below, such that:

Blue line is y = -3Green line is x = -3Orange line is y = 2x - 3Purple line is 2x + 3y - 6 = 0.

How to graph the linear equations?

Here we have the set of linear equations:

y = 2x - 3y = -3x = -32x + 2y - 6 = 0

We want to graph these 4 lines on the same coordinate axis.

The line:

y = -3

Is an horizontal line at y = -3

The line:

x = -3

Is a vertical line at x = -3.

And the other two are common linear equations that are graphed in the usual way, then the graph of all the linear equations is the one you can see below.

Where:

Blue line is y = -3Green line is x = -3Orange line is y = 2x - 3Purple line is 2x + 3y - 6 = 0.

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Sketch Graphs Of The Following On The Same Plane Using Different Colours Y=2x-3;y=-3;x=-3;2x+3y-6=0

Related Questions

the length of a new rectangular playing field is 3 yards longer than quadruple the width. if the perimeter of the rectangular playing field is 586 yards, what are its dimensions?

Answers

Answer:

length = 235 yd

width = 58 yd

Step-by-step explanation:

Let the width be W.

L = 4W + 3

perimeter = 2(L + W)

perimeter = 2(4W + 3 + W)

perimeter = 2(5W + 3) = 10W + 6

We are told the perimeter = 586 yd

10W + 6 = 586

10W = 580

W = 58

L = 4W + 3 = 4(58) + 3 = 232 + 3 = 235

length = 235 yd

width = 58 yd

3x 5y = 78 2x - y = 0 the point of intersection of the lines has an x-coordinate of _____. 78 6 -6

Answers

The supplied lines' point of intersection has the x coordinate  is 6.

What is coordinate geometry?

A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

The x coordinate of the location where the ensuing lines intersect must be chosen.

3x + 5y = 78 ...........................(1)

2x - y = 0 ...............................(2)

The given system of equations must be solved in order to determine the x coordinate of the site of intersection.

Equation (ii) provides us with

2x = y

y = 2x ........................(3)

Equation I yields the result when the value of y from equation (iii) is substituted.

3x + 5(2x) = 78

3x + 10x = 78

13x = 78

x = 78/13

x = 6.

As a result, the supplied lines' point of intersection has the x coordinate  6.

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I understand that the question you are looking is :

3x 5y = 78 2x - y = 0 the point of intersection of the lines has an x-coordinate of _____.

A.  7

B.8

C. 6

D. -6

please answer these questions

Answers

Answer:12

Step-by-step explanation:

Answer:

8.  -3, 16

9.  -3, 4.5

Step-by-step explanation:

See attached worksheet.

How many solutions, in positive integers less than 10, does the equation x + y + z = 20
have?

Answers

[tex]\huge \mathbb{ \underline{EXPLANATION:}}[/tex]

Given:

[tex] \bold{\: x + y + z = 20}[/tex]

[tex]\\[/tex]

As we have a [tex]\small\bold{sum \: of \: three \: integers}[/tex] equal to 20 and less than 10, we know the integers have to be between 2 and 9 (1 and 0 don't apply because the sum wouldn't be equal to 20 between three integers.

[tex]\large\tt{Note:}[/tex]

The first value would be X value, second Y value and third Z value.

[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]

[tex] \large\boxed{ \sf 36 \: solution}[/tex]

Find the surface area of the composite figure.
8 cm
6 cm
7 cm
8 cm
SA =
6 cm
[?] cm²
9 cm
6 cm

Answers

Answer:

382 cm²

Step-by-step explanation:

Front face + Back face:

A = 2(a + b)h/2

A = 2(14 cm + 8 cm)(7 cm)/2

A = 154 cm²

Left face:

A = 7 cm × 6 cm = 42 cm²

Right face:

A = 9 cm × 6 cm = 54 cm²

Bottom face:

A = 14 cm × 6 cm = 84 cm²

Top face:

A = 6 cm × 8 cm = 48 cm²

Total surface area =

= (154 + 42 + 54 + 84 + 40) cm²

= 382 cm²

Match the key features of functions terms to their corresponding definitions.

Answers

The key features of the above given functions are correctly matched to their corresponding definition.

Definition of terms

Negative sections of the graph: They are the parts where the graph is below the x-axis. That is option C.

End behaviour: This is what happens to the graph on the far left or far right. That is option E.

Positive sections of the graph: This is the parts where the graph is above the x-axis. That is option D.

Intercepts: This is the points where the graph crosses an axis. That is option B

Relative extrema: This is the points of relative minimum or maximum in a graph. That is option A.

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There 13 yellow cards, 6 blue, 10 red, 8 green cards in a stack of cards turned face down. Once a card is selected, it is not replaced. Find P(2 blue cards). Please be specific with your answer.

Answers

Answer:

5/222

Step-by-step explanation:

you need to add all the cards together first

13 + 10 + 8 + 6 = 37

then you take out 1 card to find the first probability of the blue card (there are 6 blue cards out of 37)

so 6/37

that will be your first probability

then for the 2nd probability, you will have 1 less card grom the deck making it only 36 cards (after taking out the first one, there will be only 5 blue cards left)

making it 5/36

that will be the 2nd probability

then you multiply both these probabilities to find the answer

6/37 × 5/36 = 5/222

Find the area of the irregular figure.
6 in.
13 in.
12 in.
5 in.
4 in.
4 in.
A = [? ]in.² please explain why or how you got the answer for future questions I only have so many points

Answers

Answer:

153 in²

Step-by-step explanation:

Area of irregular figure

[tex]\sf \boxed{\text{\bf Area of rectangle = length * width}}[/tex]

[tex]\sf \boxed{\text{\bf Area of square = side *side}}[/tex]

Figure I:

   length = 12 in

   width = 6 in

Area of figure I = 12 * 6

                         = 72 in²

Figure II:

      length = 13 in

      width = 5 in

Area of figure II = 13 * 5

                          = 65 in²

Figure III:

       side = 4 in

Area of figure III = 4 * 4

                           = 16 in²

Area of irregular shape = 72 + 65 + 16

                                      = 153 in²

Given u=(-12,-5) and v=(3,9) what is proj v u?

Answers

[tex]\frac{(-12)(3)+(-5)(9)}{3^2 + 9^2} \langle 3, 9 \rangle \\ \\ =-\frac{9}{10} \langle 3, 9 \rangle \\ \\ =\langle -\frac{27}{10}, -\frac{81}{10} \rangle[/tex]

So, the correct answer is Option 1.

PLEASE HELP ITS MATH PLEASE

Answers

Answer:

y=[4]x + [12]

Step-by-step explanation:

Remember that parallel lines have identical slopes; and to make a line which passes through a point we will use point-slope form.

Familiarize yourself with point-slope form:

[tex]y-y1=m(x-x1)[/tex]

If the line is parallel to [tex]y=4x+11[/tex] the slope must be 4.

[tex]y-y1=4(x-x1)[/tex]

And we know the point it must pass through is (-2,4), so we can fill those values in too.

[tex]y-4=4(x+2)[/tex]

Now all we have to do is solve for y:
[tex]y-4=4(x+2)\\y-4=4x+8\\y=4x+12[/tex]

Answer:

[tex]y = 4x + 12[/tex]

Step-by-step explanation:

The solution is in the attached image

30 POINTSS ABD BRAINLIEST !! Let p be a prime number. Circle one expression below which could also be a prime number.
2p 7p p - 4 p squared

Give a reason for your answer above

Answers

Answer:

p - 4

Step-by-step explanation:

Prime number is a number that only has 2 factors, 1 and the number itself. Therefore, multiplying p by 2 or 7 means giving the number more than 2 factors, which would make the number no longer prime. Squaring the prime number itself does the same.

Let p = 7.

2p = 2*7 = 14                  14 = 1*2*7*14

7p = 7*7 = 49                 49 = 1*7*49

p - 4 = 7 - 4 = 3              3 = 1*3

p^2 = 7^2 = 49               49 = 1*7*49

Use the given data set to complete parts​ (a) through​ (c) below.​ (Use α=​0.05.)

Answers

1. The value of the linear correlation coefficient r is given as 0.8159. The correct option is a. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables

2. The scatterplot reveals a distinct pattern that is not a straight-line pattern.

What is the linear correlation coefficient?

This is the data that we get when we try to get the existing relationship that is in existence between the variables that are used in a regression equation.

The value of r was calculated using a statistical tool online. The graph showed us it was not a straight line. The value of the r = 0.8159

The results of the test is in the attachment

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Alex travels 46
miles per hour for
3.2 hours. How far
has he gone?

Answers

46 mph * 3.2 h = 147.2 miles

Answer: 147.2 miles

Step-by-step explanation:

We can answer this by knowing the formula [tex]speed=\frac{distance}{time}[/tex]. Here, the speed is 46 miles/hour and the time is 3.2 hours. Let's put these values into the formula and solve for distance.

[tex]46=\frac{distance}{3.2}\\46*3.2=\frac{distance}{3.2}*3.2\\d=147.2[/tex]

Alex traveled 147.2 miles.

Write 304.9% as a decimal.

Answers

Answer:

3.049

Step-by-step explanation:

Move the decimal place in 304.9% to the left two places in order to convert from a percentage to a decimal. 3.049 is the answer.

Brainliest, please :) Hope this helps!

3.049 There are three decimal places. You plug in 304.9 times .01 in the calc and hit enter!

The time allotted for the Math test for 2 3/4 hours. Emma completed the test 1/2 of an hour earlier. How long did it take Emma to complete the test?

Answers

2 3/4h=2.75h
1/2h=0.5h
2.75h-0.5h=2.25
2.25h=2 1/4h


Or


1/2h•2=2/4h
2 3/4h-2/4h=2 1/4h

It took Emma 2 1/4 hours to complete the test.

uhh so i totally forgot but are negative numbers smaller than positives and lets say -1.8, -9, -4.2 which would be bigger

Answers

Answer:

-1.8

Step-by-step explanation:

its bigger than -9 and -4.2

-1.8 would be bigger

Solve this:
NO INCORRECT or report

Answers

Answer:

D

Step-by-step explanation:

Let x be the first batch

let y be the second batch

y=2x

His brothers each received 9 rolls from the second batch i.e. 9×4=36

So

2x= 36+ (10÷6)x

2x - (10÷6)x = 36

12x-10x = 216

x=108

and y= 2 × 108= 216

Please help me if you can
The time, t in seconds that it takes a car to travel a quarter-mile when starting from a full stop can be estimated by using the formula:
[tex]t=5.825\sqrt[3]{w/p}[/tex]

Where w = weight of the car
p = power delivered by the engine in horsepower (hp)

If the quarter-mile time for a 3,590-pound car is 13.4 s, how much power does its engine deliver? Round to the nearest pound.

Two students solved this problem. Natasha’s answer was 295 hp and Daniel’s was 679 hp. Why was Daniel wrong? Show each step that led Daniel to the wrong answer

Answers

Step-by-step explanation:

Plug in known values

[tex]13.4 = 5.825\sqrt[3]{\frac{3590}{p}}\\[/tex]

Divide both sides by 5.825

[tex]2.3004 = \sqrt[3]{\frac{3590}{P}}\\[/tex]
Cube both sides

[tex]12.1738 = \frac{3590}{P}[/tex]

Multiply both sides by P

[tex]12.1738P = 3590[/tex]

Divide both sides by 12.1738

[tex]P = 294.895[/tex]

Round to nearest hp

[tex]P = 295[/tex]

So if you look at the radical, it's possible for it to be mistake for a square root, and not a cube root. This was Daniels mistake, so his steps were

[tex]13.4 = 5.825\sqrt[3]{\frac{3590}{p}}\\[/tex]

Divide both sides by 5.825

[tex]2.3004 = \sqrt[3]{\frac{3590}{P}}\\[/tex]

Square both sides

[tex]5.29197 = \frac{3590}{P}[/tex]

Multiply both sides by P

[tex]5.29197P = 3590[/tex]

Divide both sides by 5.29197

[tex]p\approx 678.385[/tex]

He also probably rounded during his steps, which would explain how he got 679 instead of 678 when rounding in the final, but either way his answer is completely off, and this is due to him mistakenly thinking the cube root was a square root.

What is the end behavior of the function f of x equals 3 times the cube root of x? as x → –[infinity], f(x) → –[infinity], and as x → [infinity], f(x) → [infinity]. as x → –[infinity], f(x) → [infinity], and as x → [infinity], f(x) → –[infinity]. as x → –[infinity], f(x) → 0, and as x → [infinity], f(x) → 0. as x → 0, f(x) → –[infinity], and as x → [infinity], f(x) → 0.

Answers

The function [tex]f(x)=4\sqrt[3]{x}[/tex] is a cube root function and the function end behavior is: [tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

What is end behavior?The end behavior of a function f defines the behavior of the function's graph at the "ends" of the x-axis. In other words, the end behavior of a function explains the graph's trend when we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ).

To determine the end behavior:

The equation of the function is given as: [tex]f(x)=4\sqrt[3]{x}[/tex]To determine the end behavior, we plot the graph of the function f(x).We can see from the accompanying graph of the function:As x approaches infinity, so does the function f(x), and vice versa.As a result, the function end behavior is:  

[tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

Therefore, the function [tex]f(x)=4\sqrt[3]{x}[/tex] is a cube root function and the function end behavior is: [tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

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The complete question is given below:

What is the end behavior of the function f of x equals negative 4 times the cube root of x?

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.

As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.

As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.

As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

Answer:

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.

Step-by-step explanation:

I got it right on the test.

Gareth pays $ 60 for 9 m of climbing rope. how much will sophie pay for 15 m at the same store? $

Answers

Sophie will pay money equivalent to $ 100 for 15 m at the same store.

The term "money" in mathematics refers to a form of payment, such as bills, coins, and demand deposits, that is used to purchase goods and services. Money is used to pay for the worth or price of an item or service.

A country's monetary system is referred to as its currency.

In the case of Gareth,

Money paid for 9 m of climbing = $ 60

Money paid per m of climbing = $ 60/9

Thus, money paid by Sophie for 15 m of climbing = 15 * 60/9

                                                                                    = $ 100

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Which function has a vertex at the origin?
f(x) = (x + 4)²2
f(x) = x(x-4)
f(x) = (x-4)(x + 4)
f(x) = -x²

Answers

Answer:

f(x) = -x²

Step-by-step explanation:

Writing f(x) = -x² in vertex form gives f(x)=-(x-0)^2+0 which shows that the vertex (h,k) is at (0,0)

The other equations written in vertex form do not have (h,k) = (0,0)

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) sin theta = 1/2 Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) cos theta = -1

Answers

The solution of the given equation is :

cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ

cosθ = -1 when θ = π + 2kπ

Since cos2θ + sin2θ = 1, sin2θ = 1 - cos2θ

So, the given equation is equivalent to 2(1 - cos2θ) - cosθ = 1

-2cos2θ - cosθ + 1 = 0

2cos2θ + cosθ - 1 = 0 (multiplying the entire equation by -1)

(2cosθ - 1)(cosθ + 1) = 0 (taking common)

cosθ = 1/2 or cosθ = -1 (on equating it to zero)

cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ

cosθ = -1 when θ = π + 2kπ

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I don't get the minutes part

Answers

Answer : 15 minutes
Explanation : to find time, take distance divided by speed. Equals 0.25 hour. And 0.25 hour equals 15 minutes ( times 60 )
Tell me if thats right !

Mrs. kelley asked her students to plot the number of books they read over the summer. a dot blot titled books read over the summer goes from 0 to 7. 0 has 1 dot, 1 has 3 dots, 2 has 6 dots, 3 has 2 dots, 4 has 3 dots, 5 has 1 dot, 6 has 2 dots, and 7 has 0 dots. using the dot plot, what was the total number of students that plotted the number of books they read? 3 6 17 18

Answers

The total number of students that plotted the number of books they read was 18, making the 4th option, a correct choice, using the dot plot.

Any data that may be shown as dots or tiny circles is called a dot plot. Given that the height of the bar created by the dots indicates the numerical value of each variable, it is comparable to a bar graph or a simple histogram. Small amounts of data are shown using dot plots.

In the question, we are informed that Mrs. Kelley asked her students to plot the number of books they read over the summer. a dot plot titled books read over the summer goes from 0 to 7. 0 has 1 dot, 1 has 3 dots, 2 has 6 dots, 3 has 2 dots, 4 has 3 dots, 5 has 1 dot, 6 has 2 dots, and 7 has 0 dots.

We are asked to find the total number of students that plotted the number of books they read using the dot plot.

The dot plot is attached to the solution.

The total number of students = The total number of dots = 1 + 3 + 6 + 2 + 3 + 1 + 2 + 0 = 18.

Thus, the total number of students that plotted the number of books they read was 18, making the 4th option, a correct choice, using the dot plot.

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PLLLLEASE ASAP GUYS PLEASEE OMG

Answers

Answer:

27/30

Step-by-step explanation:

9/10 x3 to both sides = 27/30

Answer:

[tex]\dfrac{27}{30}[/tex]

Explanation:

In a normal fraction such as [tex]\frac{a}{b}[/tex], a is the numerator and b is the denominator.

Here the given fraction is [tex]\frac{9}{10}[/tex], to rewrite the fraction with a denominator of 30. Multiply both the numerator and denominator by 3.

[tex]\rightarrow \dfrac{9}{10}[/tex]

[tex]\rightarrow \dfrac{9\:\times\:3}{10 \:\times \: 3}[/tex]

[tex]\rightarrow \dfrac{27}{30}[/tex]

Both the fractions are equivalent to each other.

Write an algebraic expression to match the graph

please help!

Answers

the graphed equation is:

y = -|x| + 1

How to find the algebraic expression that matches the graph?

On the graph, we can see an absolute value equation, which opens downwards, and passes through the points (1, 0) and (0,1).

The general absolute value equation is:

y = a*|x - b| + c

Because the vertex is at the point (0, 1), we know that:

b = 0, c = 1

Replacing that we get:

y = a*|x| + 1

Now, this must be zero when we evaluate in x = 1, then:

0 = a*|1| + 1

a = -1

Then the graphed equation is:

y = -|x| + 1

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The chart below shows conversion between kilometers and miles.

Conversion Chart
Kilometer
Miles
2
1.2
7
4.2
20
?
30
18

What is the missing value in the table?

Answers

Answer:Answer:

12 (D)

Step-by-step explanation:

The first one is 2:1.2 so i did x10 on it to get 20:12.

Step-by-step explanation:Oh and hey if it's right u have to make me brainliest i need award

Someone please explain.50 points available.Thankyou so much!

Answers

Answers:

a) 49 square tiles - did the work on paper.

b) 83 circular tiles - did the work on paper.

c) C: could be even or odd - all patterns had both even and odd amounts of square and circular tiles.

Step-by-step explanation:

I did all the work on paper it took a while to do it. pls mark brainliest

Simplify the expression 120x^3/18xy

Answers

120 / 18 = 20/3
x^3 / xy = x^2 / y

20x^2 / 3y

Determine and state the coordinates of the center and the length of the radius of the
circle whose equation is x2 + y2 + 6x = 6y + 63

Answers

we can see that the center is (-3, 3) and the radius is 9 units.

How to find the center and radius of the circle?

The general circle equation, for a circle with a center (a, b) and radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 + 6x = 6y + 63

Let's complete squares:

x^2 + y^2 + 6x - 6y =  63

(x^2 + 6x) + (y^2 - 6y) = 63

(x^2 + 2*3x) + (y^2 - 2*3y) = 63

Now we can add and subtract 9, (two times) so we get:

(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63

(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2

(x + 3)^2 + (y - 3)^2 = 9^2

Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.

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