Find the x-intercept and y-intercept of the graph of the equation 2y = 3x - 6.

Answers

Answer 1

Given:

The equation is:

[tex]2y=3x-6[/tex]

To find:

The x-intercept and y-intercept of the graph of the given equation.

Solution:

We have,

[tex]2y=3x-6[/tex]

Substitute [tex]y=0[/tex] to find the x-intercept.

[tex]2(0)=3x-6[/tex]

[tex]0+6=3x[/tex]

[tex]\dfrac{6}{3}=x[/tex]

[tex]2=x[/tex]

So, the x-intercept of the graph of the given equation is 2.

Substitute [tex]x=0[/tex] to find the y-intercept.

[tex]2y=3(0)-6[/tex]

[tex]2y=-6[/tex]

[tex]y=\dfrac{-6}{2}[/tex]

[tex]y=-3[/tex]

So, the y-intercept of the graph of the given equation is -3.

Therefore, the x-intercept is 2 and the y-intercept is -3.

Find The X-intercept And Y-intercept Of The Graph Of The Equation 2y = 3x - 6.

Related Questions

Grant is working at a veterinarian's office, and he needs to give a dose of medicine to a
25 kg dog. If a 10 kg dog needs 18 mL of the same medicine, how many milliliters of
medicine does the 25 kg dog need?

Answers

Answer:

45ml

Step-by-step explanation:

10 kg needs 18mL

So, 1kg = 1.8ml

25kg needs = 1.8kg/ml x 25 kg

25 kg dog would need 45ml.

Answer:

45 ml

Step-by-step explanation:

Weight of the dog and quantity of medicine is in Direct proportion.

Let the quantity required for 25 Kg dog =x

10 : 18 :: 25 : x

Product of extremes = product of means

10 * x = 18 * 25

[tex]x = \frac{18 * 25}{10}\\\\x = 9 * 5 \\\\x = 45[/tex]

Brainliest given to anyone who gets both answer


Helen draws a random circle,
She then measures its diameter and circumference,
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of n using the formula n =

Calculate the lower bound and upper bound for Helen's value of .
Give your answers correct to 3 decimal places.

Answers

Answer:

3.115

Step-by-step explanation:

pi = 405 ÷ 130

= 3.1153846154

upper bound 3.116

lower bound 3.115

Edit : Incorrect Answer

Answer:

Lower Bound = 2.996

Upper bound = 3.244

Step-by-step explanation:

Write your answer in its simplest form, please

Answers

Answer:

r = 16, q = 16√2

Step-by-step explanation:

This is a 45° 45° 90° triangle. In this type of triangle, the legs of said shape will be equal and the hypotenuse will be the leg length multiplied by √2.

Therefore, r = 16 and q = 16√2.

Answer:

r = 16, c = 22.63

Step-by-step explanation:

tan 45° = 16/r

r = 16/ tan 45°

r = 16

c² = a² + b²

c² = 16² + 16²

c² = 256 + 256

c² = 512

c = 22.63

Plz help ill give u brainlyest.

Also anser a and b

Answers

Answer:

A) 4/7 feet

B) 4/7 x 15 = 60/7 or [tex]8\frac{4}{7}[/tex]

I need help with this question please

Answers

Answer:

angel BAC=CBD

BAC=43°because CBD also 43°

Mr sharma can do 1/15part of piece of work in 1 day he worked for 3 days and left if Vishnu finished the remaining work how much work is done by bishnu?

Answers

Answer:

12/15

Step-by-step explanation:

if in one day mr sharma did 1/5 part of piece of work and he worked three days he did 3/15, if vishnu finished the remaining work then he did 12/15 parts, they did 15/15

Match each expression it to an equivalent expression

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{4^2}{2^2} = 4\\\\(8-4)*4=4^2\\\\2^2 + 2^2 = 8[/tex]

»»————- ★ ————-««  

Here’s why:  

[tex]\boxed{\text{Simplifying each expression:}}\\\\\frac{4^2}{2^2}\\---------\\\\\\rightarrow \frac{16}{4}\\\\\rightarrow \boxed{4}\\\\ \boxed{\frac{4^2}{2^2}=4}[/tex]

⸻⸻⸻⸻

[tex](8-4) * 4\\-----------\\\rightarrow (4)*4\\\\\rightarrow \boxed{16}\\\\\text{We can also tell...}\\\\4^2 = 4 * 4 = \boxed{16}\\\\\text{So...}\\\\\boxed{(8-4)*4 = 4^2}[/tex]

⸻⸻⸻⸻

[tex]2^2 + 2^2\\--------------\\\rightarrow 4 + 2^2\\\\\rightarrow 4 + 4\\\\\rightarrow \boxed{8}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Simplify the expression 2(w+7)+6(3w−1).

Answers

Answer:

 4 • (5w + 2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (2 • (w + 7)) +  6 • (3w - 1)

STEP

2

:

Equation at the end of step 2

 2 • (w + 7) +  6 • (3w - 1)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  20w + 8  =   4 • (5w + 2)

Answer:

20w + 8

Step-by-step explanation:

2(w+7)+6(3w−1).

step 1 distribute the 2 to the w and the 7

2 * w = 2w

2 * 7 = 14

we now have 2w + 14 + 6( 3w - 1 )

step 2 distribute the 6 to the 3w and -1

6 * 3w = 18w

6 * -1 = -6

we now have 2w + 14 + 18w - 6

step 3 combine like terms

2w + 18w = 20w

14 - 6 = 8

we're left with 20w + 8

Which expression is equivalent to the following fraction?

Answers

Given:

The fraction is:

[tex]\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}[/tex]

To find:

The expression that is equivalent to the given fraction.

Solution:

We have,

[tex]\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}[/tex]

After taking LCM, we get

[tex]\dfrac{\dfrac{-2y+5x}{xy}}{\dfrac{3x-2y}{xy}}[/tex]

[tex]\dfrac{-2y+5x}{3x-2y}[/tex]

Therefore, the correct option is A.

2) Three people shared some money in a
ratio of 4:3:5. The second person got
£21 as a result. How much money did
they share?

Answers

Answer:

£ 84

Step-by-step explanation:

Let :-

Total amount be x .

Given ratio :-

4 : 3 : 5 .

→ Sum of ratios = 4 + 3 + 5 = 12 .

According to Question :-

→ 3/12 × x = £21

→ x = £21 × 12/3

x = £ 84 .

Answer:

£84.

Step-by-step explanation:

There are 4 + 3 + 5 = 12 parts.

The second person got 3 parts so we can write:

3/12 x = 21      where x is the required amount of money

x = 21 * 12/3

= 21 * 4

= £84.

Find the percentage of change from 76 inches to 99 inches.

Answers

Answer: 30.26%

Step-by-step explanation:

Answer:

Detailed answer :

where : 76 is the old value and 99 is the new value . in this case we have a positive change ( increase) of 30.2631578947 percent because the new value is greater than the old value.......

Hey, can someone help me with this fast thanks!!

Answers

Answer:

Your answer is 82

Step-by-step explanation:

15+25+13+13+8+8=82

Answer: c

Step-by-step explanation:

Please help I’ll give brainliest

Answers

Answer: $108199

Step-by-step explanation:

Step 1) Find the deposit cost

35/100 × 89540 = 31339

Step 2) Find the total cost of the monthly payments

2135 × 36 = 76860

Step 3) Find the final cost

31339 + 76860 = $108199

Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

Te diagonal of a kite will form a parallelogram.

explanation:

Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.

hope it helps

Mark me as brainlist

help please! the question is in the picture below for reference when answering! thank you so much!

Answers

Answer:

Neither perpendicular or parallel

Step-by-step explanation:

The y-intercept would not be the same, and the slope would be different. That means that line wont be parallel, or perpendicular.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Tonya's dog walking service charges a flat rate of $20 per month, plus $3 Per mile that each dog is walked. Beth does not charge a monthly fee for her dog walking service, but she charges five dollars per mile that each dog is walked.
pls helppp!

Answers

Answer:

A) 20+3m = 5m

Step-by-step explanation:

20+3m = 5m

20 = 2m

m = 10

after each girl has walked dogs for 10 miles, their amount they charge would be equal

Tonya would charge: 20+3(10) = 20+30 or $50

Beth would charge: 5(10) or $50

A population of insects can be modeled by the equation y = 12,000 + 8000 sin(θ). What is the greatest number of insects you will find?

Answers

Answer:

20000

Step-by-step explanation:

The greatest value obtained by sin(x) is 1.

So the greatest amount of insects is 12,000 + 8000(1)=20000.

The greatest number of insects are 20000.

What is trigonometric function?

"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.

The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "

We have,

y = 12000+8000 sinθ

The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]

∴ sinθ  = 1

substitute sinθ = 1 in given equation

y = 12000+8000 (1)

⇒ y = 12000+8000

⇒ y = 20000

Hence, The greatest number of insects are 20000.

Learn more about trigonometric function here

https://brainly.com/question/22600237

#SPJ2

HELP ASAP

Answers

Answer:

it think it is 26

Step-by-step explanation:

as angle on a straight line add up to 180

so 180-64-90=26

hope this helps :)

Use the Fundamental Counting Principle to find the number of outcomes from tossing a quarter, a dime, and a nickel. ​

Answers

Answer:

aaaaaaaaacvvrcgb

Math help please urgent

Answers

Answer:

area of circle is 2πr²

= 2 x 3.14 x 8 x 8

= 402 cm

What would be the volume of the pyramid? Little help please

Answers

Answer:

36

Step-by-step explanation:

The answer is 36, I did the work

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Answers

Answer:   D)  x+6

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

Explanation:

The x intercepts (aka roots) are where the graph crosses or touches the x axis. These locations directly correspond to help set up the factors.

The root x = -6 shows that x+6 is a factor.

Effectively, we add 6 to both sides so that we go from x = -6 to x+6 = 0.

An object is launched from a platform. its height in meters X seconds after the launch is modeled by h(x)=-5x^2+20x+60 how many seconds after launch Will the object land on the ground

Answers

Answer:

6 seconds after launch.

Step-by-step explanation:

You should make sure  there aren't odd symbols in your question when you post it.

Assuming it is just the equation -5x^2 + 20x + 60, if you graph it you can see the path of the ball.  at x=0 this is the starting point It then hits the ground when it touches the x axis.  So this is finding zeroes of a quadratic.

You could do this several ways; find a way to factor it, guess and check, the quadratic formula or completing the square.  I will complete the square as that is what I am most used to.  If you would like to see another let me know.

The first step in completing the square is making sure the x^2 has a coefficient of 1, so now it has -5 so we have to factor out -5 from the equation.

-5x^2+20x+60 = -5(x^2 - 4x - 12)

Now you only really need to focus on the factored expression, but I will continue writing everything.  The next step is to find (b/2)^2 where b is the coefficient of the x term.  In this case -4.  so (b/2)^2 = (-4/2)^2 = 4.

Again, focusing on x^2 - 4x - 12 you want to add and subtract (b/2)^2 from that expression.  since you are adding and subtracting you are not changing the value, but we can use this.

-5(x^2 - 4x - 12) = -5(x^2 - 4x - 12 + 4 - 4)

Here you want to rearrange it a bit.  Originally c was the constant term, -12, now you want it to be the positive (b/2)^2, which is positive 4. also you can combine the two other constant terms.  the original c and -(b/2)^2, but I will hold off for now so I don't do too much at once.

-5(x^2 - 4x - 12 + 4 - 4) = -5(x^2 - 4x + 4 - 12 - 4)

Now you focus on x^2 - 4x + 4.  Hope fully you recognize this is the same as (x-2)^2.  This always happens at this step of the process.  also notice -2 = b/2.  Using only variables here are the first steps.

ax^2 + bx + c

a(x^2 + (b/a)x + (c/a))

a(x^2 + (b/a)x + (c/a) + (b/(2a))^2 - (b/(2a)^2)

a(x^2 + (b/a)x + (b/(2a))^2 + (c/a) - (b/(2a))^2)

a((x + b/(2a))^2 + (c/a) - (b/(2a))^2)

Again, being able to make x^2 - 4x + 4 into (x-2)^2 or x^2 + (b/a)x + (b/(2a))^2 into (x + b/(2a))^2 willa lways happen.  this is because if you expand (x + b/(2a))^2 you always get x^2 + (b/a)x + (b/(2a))^2.

Now I would combine the -12-4

-5(x^2 - 4x + 4 - 12 - 4) = -5((x - 2)^2 - 12 - 4) = -5((x - 2)^2 - 16)

If you redistribute the -5 you get vertex form, but I am going to stop here  because I will just undo that in the next step.  So this is the form you want.  Finally we can find when it equals 0.  So, you set this equal to 0 and use algebra to solve.

-5((x - 2)^2 - 16) = 0

Divide both sides by -5

(x-2)^2 - 16 = 0

add 16 to both sides

(x-2)^2 = 16

Take the square root of both sides, but also count botht he positive and negative version of the answer.  the reason is both 2 and -2 squared get you 4.

x - 2 = +/-4

I am using +/- to indicate I am using both positive and negative 4.  Now though add 2 to both sides.  since you have +/- 4 you are going to get two different results.  -4+2 and 4+2

x = -2 and 6.

now, the question wants times after x=0 (the start) so you only get 6.  so x=6, or in other words 6 seconds after launch.

Let me know if you have any questions.

Answer:

6

Step-by-step explanation:

sorry no step by step explanation because I’m in a rush please mark me as brainliest bye have a great day !!! :D

If 6 newborn babies are randomly selected, how many different gender sequences are possible?
a. 720
C. 12
b 36
d. 64

Answers

the answer that i got was 720 different sequence genders are possible if 6 new born babies are randomly selected

Answer:

D.64

Step-by-step explanation:

im not slow itz simple 2 to the power of 6

Calculate the volume of a cone with: 11cm height and 6cm radius

Answers

Answer:

volume=1243.44 cm^3

Step-by-step explanation:

volume of a cone=πr^2h

=3.14*(6)^2*111

=3.14*36*11

=1243.44 cm^3

Answer:

V=414.69cm³

Step-by-step explanation:

use v=πr²h/3

pie is 22/7 so when you fix in your values you will get the answer

pls answer this for me now

Answers

Answer:

(3) 48

Step-by-step explanation:

The angle inside the ABC one is two times its angle size

Which term is a perfect square of the root 3x^4

Answers

9x^8

lmk if this helped :)

Solve for x and show work

Answers

Answer:

6.14 rounded to the nearest hundreth.

Every paralelogram equals 360º. And every oppisite angle is eqaul to each other. So by doing the math we can tell the smaller angles is 80º. Now we solve for x.

80=7x+37 minus 37 from both sides

43=7x.   then divide both side by 7 to cancel it out

6.14=x that is the answer rounded

You can check by inputing x's vaule into the equation and getting the angle measurment we solved for which is 80º.

7(6.14)+37

by doing this you get 80, the measure of the angle so the vaule for x is 6.14 rounded to the nearest hundreth.

         

CAN SOMEONE PLEASE HELP ME I'M STUCK. PLEASE
I don't understand and know how to solve it.

Answers

Answer:

7/10

Step-by-step explanation:

red + green = 50 + 20 = 70 marbles

Total marbles = 50 + 30 + 20 = 100 marbles

P(red or green) = 70/100

P(red or green) = 7/10

company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month the company’s office manager needs to order 180 packages of the same paper. If the price per package does not change, what would be the total c

Answers

Answer:

the answer would be 384 dollars

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