What fraction of an hour is 33 minuets in the simplest form

Answers

Answer 1

Ok.

So an hour contains 60 minutes.

The fraction is therefore,

[tex]\dfrac{33}{60}=\boxed{\dfrac{11}{20}}[/tex]

Hope this helps.

r3t40

Answer 2

Answer:

33 minutes is 11/20 of an hour.

Explanation:

So we know that 30 minutes is equal to half an hour. 30÷60 = 0.5

0.5 as a fraction is equal to 1/2.

Now let's use that same method for 33.

33÷60= 0.55.

0.55×100== 55.

55 as a fraction would be 55/100.

Let's convert that to its simplest form.

55÷5 = 11

100÷5 = 20

33 minutes is 11/20 of an hour.


Related Questions

Classify the polynomial -3x5 by degree.
cubic
quadratic
quintic
constant

Answers

Answer:

quintic

Step-by-step explanation:

I will assume you mean

-3x^5

This is to the degree 5, since it is to the 5th power

cubic   3rd power

quadratic  2nd power

quintic  5th power

constant 0th power

Answer:

Quintic polynomial is a polynomial with degree 5

Step-by-step explanation:

[tex]-3x^5[/tex]

Given polynomial has degree 5 . Its a 5th degree polynomial

Cubic polynomial has degree 3

Quadratic polynomial has degree 2

Constant is a polynomial with a number without any variable like 2 or 4 or 15

Quintic polynomial is a polynomial with degree 5. Given polynomial has degree 5 . So it is Quintic

If f = {(4, 2), (6, 1), (8, 4), (10, 2), (12,5)}, what is the range?​

Answers

Range means all the y values included on the function/relation on the graph. In this case the y values/range is:

{1, 2, 4, 5}

^^^Remember to order them from smallest to largest and to a number only once if there are more then one of that number included in the range.

Hope this helped!

~Just a girl in love with Shawn Mendes

F(x)=x^2 What is F(x)+f(x)+f(x)

Answers

Answer:

Step-by-step explanation:

F(x)=x^2 What is F(x)+F(x)+F(x) =3F(x) =3x²

Answer:

[tex]F(x)+F(x)+F(x)[/tex] = [tex]3x^{2}[/tex]

Step-by-step explanation:

Given is :

[tex]F(x)=x^{2}[/tex]

We have to find:  [tex]F(x)+F(x)+F(x)[/tex]

This means we have to find [tex]x^{2} +x^{2} +x^{2}[/tex]

This becomes [tex]3x^{2}[/tex]

Hence, [tex]F(x)+F(x)+F(x)[/tex] = [tex]3x^{2}[/tex]

Solve the following equation. Then place the correct number in the box provided. 2x - 20 = 32

Answers

Answer:

x=26

Step-by-step explanation:

Given:

2x - 20 = 32

2x=32+20

2x=52

2x/2=52/2

x=26!

The answer is 26. What you start out by doing is adding 20 on both sides. This will cancel out the 20 months left side, and on the right side you will add 32 and 20 which will equal to 52. Then you want to divide 2 on both sides, this leaving you with x=26.

3x- 5=1 what does x represent

Answers

Answer:

x= 5/3

Step-by-step explanation:

3x- 5 = 1

first you have to move the constant or in this case the 5 to the other side to isolate x so to do that you have to ad 5 from both sides, that way itll cancel out from the left and add on the right

3x= 5

now, to isolate x, we have to divide by 3, that way you get

x= 5/3

The real answer is x= 2
not 5/3

PLEASE HELPP!!
The graph of y = ax^2 + bx + c is shown below. Determine the solution set of 0 = ax^2 + bx + c.

Answers

Check the picture below.

something noteworthy to look at is that the graph doesn't cross the x-axis at -2, it simply comes down to it, touches it and it goes back up, it simply bounces off the x-axis, whenever that happens, that zero/solution/root has an even multiplicity.

when 0 = ax² + bx + c, we notice that y = 0, and for the graph that happens there, at x = -2, but that solution has an even multiplicity, and since the equation is a 2nd degree polynomial, thus x = -2 is there twice, namely

x = -2

x - 2 = 0

(x - 2)² = 0   <---- multiplicity of 2.

Answer:

-2

Step-by-step explanation:

:)

Tracey pays $18 to enter a theme park, plus $2 for each ride. Which of the following correctly describes the slope? A. she must pay a flat rate of $18. B. Her total cost increases by $2, for each ride purchased. C. Her total cost is at least $20. D. her total cost increased by $3, for each ride purchased

Answers

Answer:

B.

Step-by-step explanation:

You pay a one time fee of 18 dollars and then 2 dollars per ride.

The expression for that is 18+2r where r represents the number of rides and the output of (18+2r) is amount you spend.

f(r)=2r+18 when compared to f(x)=mx+b where m is slope and b is y-intercept

you should see that the slope is $2 per ride.

B. is the option that says this.

Answer: Option B

Her total cost increases by $2, for each ride purchased

Step-by-step explanation:

We know that $ 18 is the cost of the ticket. We do not know exactly how many trips you will make, but we know that the cost is $ 2 for each ride.

If we call "x" the number of rides then we know that the total cost "y" is:

[tex]y = 2x + 18[/tex]

Note that the cost increases by $2 for each ride

The equation of a line has the following form

[tex]y = mx + b[/tex]

Where m is the slope of the line.

In this case we have the following equation

[tex]y = 2x + 18[/tex]

Therefore [tex]m = 2[/tex]. Then the slope is the cost of $2 for each ride

Finally the answer is the option B.  Her total cost increases by $2, for each ride purchased

Les tried to evaluate 600 x 4 step by step.
600 X 4
Step 1
= 10 x 6 x 4
Step 2
= 10 x 24
Step 3
= 240
Find Les's mistake.
Choose 1 answer:
@ Step 1
B Step 2
C Step 3

DLes did not make a mistake.

Answers

The answer is step 1 because it should have been 600 x 4= 100 x 6 x 4.

Answer:

A Step 1

Step-by-step explanation:

600 X 4

6*100 *4

The mistake is in the first line

600 = 6*100  not 6*10

Which of the following are solutions to the equation below?
Check all that apply.
5x2 - 2x + 16 = 4x2 + 6x
O A. -6
O B. 6
O C.-3
D. -4
E 4
O
F. 18

Answers

Answer:

E. x = 4

Step-by-step explanation:

[tex]5x^2-2x+16=4x^2+6x\qquad\text{subtract}\ 4x^2\ \text{from both sides}\\\\x^2-2x+16=6x\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\x^2-8x+16=0\\\\\text{Put the values of}\ x\ \text{to the equation and check the equality:}\\\\A.\ x=-6\\\\(-6)^2-8(-6)+16=36+48+16=100\neq0\\\\B.\ x=6\\\\6^2-8(6)+16=36-48+16=4\neq0\\\\C.\ x=-3\\\\(-3)^2-8(-3)+16=9+24+16=49\neq0\\\\D.\ x=-4\\\\(-4)^2-8(-4)+16=16+32+16=64\neq0\\\\E.\ x=4\\\\4^2-8(4)+16=16-32+16=0\\\\F.\ x=18\\\\18^2-8(16)+16=324-128+16=212\neq0[/tex]

Answer:

E

Step-by-step explanation:

A square base of a pyramid has the dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you find the surface area of the pyramid?


Answers

Answer:

145 yards squared

Step-by-step explanation:

So the area of the base is area of a square with side length of 5 yards [tex]5*5=25[/tex]

The area of one triangular face base times height divided by two and then simply multiplied by 4 because there are 4 triangular faces.

[tex](\frac{5*12}{2} )*4 = 120[/tex]

So the total surface area is [tex]25+120=145[/tex] yards squared

Answer:

First, draw and label a net of the pyramid. The triangular faces have a base of 5 yards and a height of 12 yards. Find the area of each of the faces. The square base has an area of 25 yd2. Each of the triangular faces has an area of 30 yd2. Add the areas together to find the surface area: 25 + 30 + 30 + 30 + 30 = 145 yd2.

Step-by-step explanation:

A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form?

Answers

Answer:

B=n2 + 6n + 1

Step-by-step explanation:

A = n

B = 2n + 6

C = n^2 - 1

AB - C = n * (2n + 6) - (n^2 - 1) = 2n^2 + 6n - n^2 + 1 = n^2 + 6n + 1

Answer:

The simplest form of the expression AB-C is [tex]n^2+6n+1[/tex].

Step-by-step explanation:

In this exercise we only need to use the properties of arithmetic operations and a minimal knowledge of algebraic notation. We have the expressions

[tex]A = n[/tex],[tex]B=2n+6[/tex],[tex]C=n^2-1[/tex].

Now we make the indicated operations, beginning by AB:

[tex]AB=n\cdot(2n+6) = 2n^2+6n[/tex]  using the distributive property of multiplication.

Then, we make AB-C:

[tex]AB-C = 2n^2+6n - (n^2-1) = 2n^2+6n-n^2+1 = n^2+6n+1[/tex].

In the last step we must be vary careful with the change of signs in the expression inside parenthesis.

5 ) Fred bought 5 new baseball trading cards to add to his collection. The next day his dog ate
half of his collection. There are now only 31 cards left. How many cards did Fred start with ?

Answers

Answer:

Just reverse the order. So double 31 is 62 then subtract 5. 57

I don’t know what the answer is I wish I could help

What is true of the function g(x)=-2x^2+5?

A) g(x) is the multiplication of g and x.
B) -2x^2+5 is the input of the function.
C) The variable x represents the independent variable.
D) The variable g represents the input of the function.​

Answers

Answer:

C) The variable x represents the independent variable.

Step-by-step explanation:

The given function is [tex]g(x)=-2x^2+5[/tex].

g(x) is NOT the multiplication of g and x because g is a function of x.

[tex]x[/tex] is the input of the function.

[tex]-2x^2+5[/tex] is the output of the function.

The variable [tex]x[/tex] is called the independent variable because we plug in values of x to find g.

The variable g represents the output of the function NOT the input.

The correct choice is C

Which formula gives the area of a parallelogram? (3)

Answers

Answer:

A = bh (the last one)

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

Answer:

A=bh

Step-by-step explanation:

Circle O is represented by the equation (x + 7)^2 + (y + 7)^2 = 16. What is the length of the radius of circle O?

Answers

Answer:

4

Step-by-step explanation:

The standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

where (h,k) is the center and

r is the radius.

You compare your equation to mine you should see that:

-h=7 implies h=-7

-k=7 implies k=-7

r^2=16 implies r=4 since 4^2=16

The center is (-7,-7).

The radius is 4.

For this case we have that by definition, the equation of a circle in standard or canonical form is given by:

[tex](x-h) ^ 2 + (y-k) ^ 2 = r ^ 2[/tex]

Where:

(h, k) is the center

r: It's the radio

We have the following equation:

[tex](x + 7) ^ 2 + (y + 7) ^ 2 = 16\\(x + 7) ^ 2 + (y + 7) ^ 2 = 4 ^ 2[/tex]

Thus, the radius is 4.

Answer:

4

Select the correct answer from each drop-down menu.
consider the equation
-22 + 3x
___________ = 2
3x + 7
How do you begin isolating the variable x to one side of the equation?
A) Multiply both sides by 3x + 7.
Reset
B) Divide both sides by 3x + 7.
C) Multiply both sides by -22 + 3x.
D) Divide both sides by -22 + 3x.
The solution of the equation is
A) -12
B) -9
C) -6
D) -3​

Answers

Answer:

A)Multiply both sides by 3x + 7.

Reset

A)the solution of the equation is  x=-12

Step-by-step explanation:

Hello

let

to begin isolating we must multiply both sides by 3x + 7.

Reset

this way

[tex]\frac{-22+3x}{3x+7}=2\\\frac{-22+3x}{3x+7}*(3x+7)=2*(3x+7)\\-22+3x=2*(3x+7)[/tex]

let´s continue to find x

[tex]\\-22+3x=2*(3x+7)\\-22+3x=6x+14\\-22-14=6x-3x\\-36=3x\\x=\frac{-36}{3}\\ x=-12[/tex]

the solution of the equation is x=-12

have a great day

Solve 2cos theta+2=3 in the interval 0-2pi

Answers

Answer:

[tex]\theta=\frac{\pi}{3}, \frac{5\pi}{3}[/tex].

Step-by-step explanation:

[tex]2\cos(\theta)+2=3[/tex]

Subtract 2 on both sides:

[tex]2\cos(\theta)=3-2[/tex]

Simplify:

[tex]2\cos(\theta)=1[/tex]

Divide both sides by 2:

[tex]\cos(\theta)=\frac{1}{2}[/tex]

Now let's refer to the unit circle... When is the x-coordinate, 1/2?

There are 2 places this happens on [0,2pi].

One is in the first quadrant and the other in the fourth quadrant.

It is at [tex]\theta=\frac{\pi}{3}, \frac{5\pi}{3}[/tex].

I need help ASAP please someone help me

Answers

Answer:

I know it has nothing to do with Christianity, so C and D are wrong. It's either A or B, but I'm more with the A. But I'm not sure so...

Need help in number 9. Thanks for helping

Answers

Answer:

B.

Step-by-step explanation:

The range is just the list of y-coordinates while the domain is just a list of the x-coordinates when it comes to a list of points.

So anyways all your y-coordinates are -2,-1,0,1,2. So that is your range.

Answer:

B.

Step-by-step explanation:

Graph y=lx-3l please answer fast

Answers

Answer:

(see attachment)

Step-by-step explanation:

With an absolute value graph, if the number is inside the brackets you move the graph in the opposite direction.

(Btw you should use Desmos. That's what I use all the time and it is a LIFESAVER)

(Also can I please have Brainliest, I need it to level up)

The graph of the function y = |x - 3| is added as an attachment

Sketching the graph of the function

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

y = |x - 3|

The above function is an absolute function that has been transformed as follows

Vertically stretched by a factor of 1Shifted right by 3 units

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Read more about functions at

brainly.com/question/2456547

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Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isoceles triangle have equal measure?

Answers

Answer:

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Step-by-step explanation:

The fact that one angle of a triangle is larger than the other angle and the side that is opposite the larger angle is longer than the side which is opposite the smaller angle proves the isosceles triangle theorem.

This theorem proves that the base angles of any isosceles triangle have equal measure.

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

e2020

what is (7x6)+(4x10)​

Answers

Answer:

the answer is 82

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

just use a calculator

Which is the true solution to the radical equation y + 1 =
-2y-3?

Answers

-y-2 is the correct answer of this equation

Find the length of CZ

Answers

Think for a minute.

CA = 17, right?

CZ is the remaining part of CA.

ZA = 16

CZ = CA - ZA

CZ = 17 - 16

CZ = 1

Did you follow?

Answer:

D  1

Step-by-step explanation:

CA = CZ + ZA

WE know CA = 17 and ZA = 16

17 = CZ + 16

Subtract 16 from each side

17-16 = CZ +16-16

1 = CZ

WILL GIVE BRAINSLIEST EASY. Find each product mentally. Show the steps used.

1. 9 x 44 = 2. 4 x 5 1/8 = 3. 7 x 3.8 =

Use the Distributive Property to rewrite each algebraic expression.

4. 8(x + 7) = 5. 6(11 + x) = 6. 8(x + 1) =

Answers

Answer:

1) 396

2) 20 1/2

3) 26.6

4) 8x + 56

5) 66 + 6x

6) 8x + 8

Step-by-step explanation:

* Lets explain how to solve the product mentally

# Remember the distributive property can help you to find the product

  mentally the distributive property ⇒ a(b + c) = ab + ac

- Lets solve them

1)

- In 9 × 44 we can write 44 as (40 + 4)

∴ 9 × 44 = 9(40 + 4)

∵ 9(40 + 4) = 9 × 40 + 9 × 4

- Now lets multiply 9 by 40 and 9 by 4

∵ 9(40) = 360

∵ 9(4) = 36

∴ 9 × 40 + 9 × 4 = 360 + 36 = 396

9 × 44 = 396

2)

- In 4 × 5 1/8 we can write 5 1/8 as (5 + 1/8)

∴ 4 × 5 1/8 = 4(5 + 1/8)

∵ 4(5 + 1/8) = 4 × 5 + 4 × 1/8

- Now lets multiply 4 by 5 and 4 by 1/8

∵ 4(5) = 20

∵ 4(1/8) = 1/2

∴ 4 × 5 + 4 × 1/8 = 20 + 1/2 = 20 1/2

4 × 5 1/8 = 20 1/2

3)

- In 7 × 3.8 we can write 3.8 as (3 + 0.8)

∴ 7 × 3.8 = 7(3 + 0.8)

∵ 7(3 + 0.8) = 7 × 3 + 7 × 0.8

- Now lets multiply 7 by 3 and 7 by 0.8

∵ 7(3) = 21

∵ 7(0.8) = 5.6

∴ 7 × 3 + 7 × 0.8 = 21 + 5.6 = 26.6

7 × 3.8 = 26.6

- The distributive property ⇒ a(b + c) = ab + ac

4)

- In 8(x + 7) we will multiply 8 by x and 8 by 7 and add them

∵ 8 × x = 8x

∵ 8 × 7 = 56

8(x + 7) = 8x + 56

5)

- In 6(11 + x) we will multiply 6 by 11 and 6 by x and add them

∵ 6 × 11 = 66

∵ 6 × x = 6x

6(11 + x) = 66 + 6x

6)

- In 8(x + 1) we will multiply 8 by x and 8 by 1 and add them

∵ 8 × x = 8x

∵ 8 × 1 = 8

8(x + 1) = 8x + 8

Michael goes to a theme park and rides two different roller coasters that both begin on a raised platform. His height while on the first roller coaster, measured in feet from the platform height, can be modeled by the following graph, where t is the number of seconds since the ride began. His height while on the second roller coaster, measured in feet from the platform height, can be modeled by a trigonometric function, shown in the following table, where t is the number of seconds since the ride began. t 0 20 40 60 80 100 120 140 160 g(t) 0 50 100 50 0 -50 -100 -50 0 Which of the following best describes Michael's height while on the two roller coasters? A. While on the first roller coaster, the function modeling Michael's height switches from positive to negative every 60 seconds, meaning he changes from being at a height above the platform to below the platform every 60 seconds. While on the second roller coaster, this change occurs every 20 seconds. B. While on the first roller coaster, the function modeling Michael's height switches from positive to negative approximately every 40 seconds, meaning he changes from being at a height above the platform to below the platform approximately every 40 seconds. While on the second roller coaster, this change occurs every 80 seconds. C. While on the first roller coaster, the function modeling Michael's height switches from positive to negative every 40 seconds, meaning he changes from being at a height above the platform to below the platform every 40 seconds. While on the second roller coaster, this change occurs every 20 seconds. D. While on the first roller coaster, the function modeling Michael's height switches from positive to negative approximately every 80 seconds, meaning he changes from being at a height above the platform to below the platform approximately every 80 seconds. While on the second roller coaster, this change occurs every 40 seconds.

Answers

Answer:

on plato the answer is B, it reads the same as the answer c does on this example. Please make sure that you read the answers and match them up with the correct one on your side.

Step-by-step explanation:

Final answer:

Using the information provided, Michael's height changes from above to below the platform every 40 seconds for the second roller coaster. However, without more concrete information regarding the first roller coaster, a definitive answer for that cannot be provided.

Explanation:

The topic in discussion here is the modeling of Michael's height changes on two different roller coasters using functions and graphs. Given the question, we can observe that the second roller coaster's height variations follow a pattern corresponding to a trigonometric function, changing from 0, to 50, to 100, and so forth, then repeating. From this pattern, we can infer that Michael's height on the second roller coaster oscillates from a positive value (above the platform) to a negative value (below the platform) and back every 40 seconds since the value of g(t) changes from positive to negative (or vice versa) at each 40-second interval.

 

However, without the details of the first roller coaster's function or graph, we cannot accurately determine how often Michael's height on the first coaster changes from positive to negative. Therefore, based on the given information, we cannot definitively choose between the provided answer options.

Learn more about Modeling Height Changes here:

https://brainly.com/question/5449909

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In right triangle ABC, B is the right triangle and m C = 30. If AC = 10 what is AB?

Answers

Using the law of sins:

Sin(angle) = Opposite Leg / Hypotenuse

Sin(30) = AB /10

Solve for AB:

AB = 10 * sin(30)

AB = 10 * 1/2

AB = 5

The answer is A.

Pablo generates the function f(x) = 3/2(5/2)^x-1 to determine the x'th number in a sequence.

Which is an equivalent representation?

A: f(x+1) = 5/2 f(x)
B: f(x) = 5/2 f(x+1)
C: f(x+1) 3/2 f(x)
D: f(x+1) = 3/2 f(x+1)

Answers

Answer:

A.

f(x+1)=5/2f(x) with f(1)=3/2

Step-by-step explanation:

So we are looking for a recursive form of

[tex]f(x)=\frac{3}{2}(\frac{5}{2})^{x-1}[/tex].

This is the explicit form of a geometric sequence where [tex]r=5/2[/tex] and [tex]a_1=\frac{3}{2}[/tex].

The general form of an explicit equation for a geometric sequence is

[tex]a_1(r)^{n-1} \text{ where } a_1 \text{ is the first term and } r \text{ is the common ratio}[/tex].

The recursive form of that sequence is:

[tex]a_{n+1}=ra_n \text{ where you give the first term value for } a_1[/tex].

So we have r=5/2 here so the answer is A.

f(x+1)=5/2f(x) with f(1)=3/2

By the way all this says is term is equal to 5/2 times previous term.

Answer:

A

Step-by-step explanation:

Edge 2021

Find an equation for the line perpendicular to y=−15x+3 with x-intercept at x = 3.
Write your answer in the form y=mx+b

Answers

bearing in mind that perpendicular lines have negative reciprocal slopes, let's find the slope of the provided line then

[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{-15}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-15\implies -\cfrac{15}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{1}{15}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{15}\implies \cfrac{1}{15}}}[/tex]

well, we know the x-intercept is at x = 3, recall when a graph intercepts the x-axis y = 0, so this point is (3 , 0).  Then we're really looking for the equation of a line whose slope is 1/5 and runs through (3 , 0).

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=\cfrac{1}{5}(x-3)\implies y=\cfrac{1}{5}x-\cfrac{3}{5}[/tex]

Could anyone answer and also provide explanation.​

Answers

Answer:

b

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

2x + 3y = 1 ( subtract 2x from both sides )

3y = - 2x + 1 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form

with y- intercept c = [tex]\frac{1}{3}[/tex] ← does not pass through the origin

(b)

2x + 3y = 0 ( subtract 2x from both sides )

3y = - 2x + 0 ( dividing all sides by 3 ), gives

y = - [tex]\frac{2}{3}[/tex] x + 0 ← in slope- intercept form

with y- intercept c = 0 ← passes through the origin

(c)

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 2

with y- intercept c = 2 ← does not pass through the origin

Other Questions
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