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

Which statement accurately describes the difference between short-term and long-term capital gains in terms of taxes? A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains. B. Long-term capital gains are from investments that have been held for at least six months and are taxed at a lower rate than short-term capital gains. C. Long-term capital gains are from investments that have been held for more than one year and are taxed at a higher rate than short-term capital gains. D. Long-term capital gains are from investments that have been held for at least six months and are taxed at a higher rate than short-term capital gains.

Answers

Answer: A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.

Step-by-step explanation:

Long-term capital gains are indeed from investments that have been held for more than a year as opposed to short term gains from investments of less than a year. This means that long term gains can come from investments such as stocks and bonds.

Long-term capital gains are taxed at a lower rate than short term gains with most long term gains being taxed at 15% or lower. This is in contrast to short-term gains that are taxed at the same rate as ordinary income which means it could go up to as high as 37%.

Answer: A

Step-by-step explanation:

Please answer it i need this

Answers

Answer: The first choice

Step-by-step explanation:

Your answer is right! Its the question:
How many televisions do the families in your neighborhood own.

A statistical questions means you expect multiple responses.

Non statistical questions are those that u can answer with a defintine answer and only require gatbering of little data

Have a nice day

evaluate 999^3 by using suitable identity​

Answers

The answer is:

999^3 = 997002999

can someone help please..

Answers

Answer:

b

Step-by-step explanation:

Evaluate the piece-defined function for the given of x by matching the domain values with the range values

Answers

Answer:

The correct answer is:

(1) d

(2) b

(3) a

(4) c

(5) e

Step-by-step explanation:

The given problem is incomplete. Find the attachment of the full question.

According to the question,

(1)

By putting x = -2, we get

[tex]f(x)=(-2)^3-5[/tex]

       [tex]=-8-5[/tex]

       [tex]=-13[/tex]

(2)

By putting x = 0, we get

[tex]f(x)=(0)^3-5[/tex]

       [tex]=0-5[/tex]

       [tex]=-5[/tex]

(3)

By putting x = 3, we get

[tex]f(x)=8[/tex]

(4)

By putting x = 9, we get

[tex]f(x)=(2)^{9-7}[/tex]

       [tex]=(2)^2[/tex]

       [tex]=4[/tex]

(5)

By putting x = 11, we get

[tex]f(x)=(2)^{11-7}[/tex]

       [tex]=(2)^4[/tex]

       [tex]=16[/tex]

Which of the following sets of numbers could not represent the three sides of a right triangle?

A) {15,20,25}
B) {30,40,50}
C) {33,44,55}
D) {5,12,14}

Answers

Answer:

D

Step-by-step explanation:

A^2+B^2=C^2

For A, 15^2(225)+20^2(200)=625, and 25^2=625

For B, 30^2(900)+40^2(1,600)=2,500, and 50^2=2,500

For C, 33^2(1,089)+44^2(1,936)=3,025, and 55^=3,025

But for D, 5^2(25)+12^2(144)=169, and 14^2=196, and 169 and 196 are not equal.

Which graph shows the solution to the system of linear inequalities?
y < 2x - 5
y> -3x + 1
Is it this one?

Answers

Step-by-step explanation:

The given system of inequalities are :

y < 2x - 5 ...(1)

y> -3x + 1 ....(2)

For equation (1),

When x = 0, y<-5

For equation (2),

When x = 0, y>1

The attached figure shows the graph of the given inequalities.

25+ POINTS WILL MARK BRAINLIEST

Answers

Answer:

Point A = (-6,0)

Point B = (0,4)

Answer:

Your Answer is this

Step-by-step explanation:

What is the inverse of the function f(x) = 169x2 when x > 0?

Answers

Answer:

y = (√x)/13 for x > 0

Step-by-step explanation:

Actually, this is f(x) = 169x^2; the " ^ " indicates exponentiation.  The graph consists of the right-hand half of the parabola 169x^2.  Before we attempt to find the inverse function, we determine whether or not this function passes the vertical line test.  If x is restricted to (0, infinity), a horizontal line intersects this graph only once.  Therefore, this function has an inverse.

1.  Replace 'f(x)' with 'y:'  y = 169x^2

2.  Interchange x and y:  x = 169y^2

3.  Solve for y:  y^2 = x/169, or y = (√x)/13 for x > 0

5
4.)What function rule models the values in the table?
Х
4
8
12

16
Y
4.
8
12
16
20
a.) Y = -x + 4
b.)Y = x + 4
c.) Y = 4x + 4

Answers

Answer: 8

Step-by-step explanation: 4x4=0

please help im very confused

Answers

download the app photo math, it will give u all the answers for those and shows the work

Look at the graph of the given relation. Determine whether the relation is a function. Explain why or why not.
(4.2, 6.2), (-0.8, 6.2), (-3.8, 4.2), (-3.8, -1.8)

Answers

Answer:

Step-by-step explanation:

The relation is not a function!

if two line segments have the same lengh, which of the following must be true
A. they are congruent
B. they share an endpiont
C. They are equal
D. They form a right angel

Answers

A. They are congruent

Hope this helps! :)

what will I get for the answer 12(2x2−8)+13(6x2−3)

Answers

Answer:

102x^2 - 135

Step-by-step explanation:

Here we must follow order of operations rules:  

1.  Anything enclosed inside parentheses must be done first

2. Multiplication before addition/subtraction

Thus, 12(2x^2−8)+13(6x^2−3) becomes (after multiplication):

           24x^2 - 96 + 78x^2 - 39

The next step is to combine like terms:

              102x^2 - 135

This cannot be simplified further.  102 and 135 have no common factors.

Thus, 12(2x^2−8)+13(6x^2−3) = 102x^2 - 135

Answer:

3x^2-5

Step-by-step explanation:

i found out myself after searching the question

find the area of the irregular figure. 4 in. 7in. 5in. 3in. 4in. 9in.​

Answers

Answer:

79 sq in

Step-by-step explanation:

cut it into separate shapes then add the areas of each individual

(4 x 3) + (13 x 4) + (3 x 5)

Help please!!! I don’t understand

Answers

I believe the answer is vertical stretch

find the area of this parallelogram. HELP ASAP!

Answers

Answer:

260cm^2

Step-by-step explanation:

Given,

Base = 20cm

Height = 13cm

Area of a parallelogram = Base * Height

                                        = 20 * 13

                                        = 260cm^2

Answer:

260

Step-by-step explanation:

Area of parallelogram = base length times height

Given height = 13cm

Given base Length = 20

Area = 20 * 13 = 260

PLEASE HELP ME I AM SUFFERING GREATLY

Answers

Answer:

6 hours ( i think)

Step-by-step explanation:

new crew = 12 hours, experienced crew = 6 hours

new crew + experienced crew = 12 hours and 6 hours

the help that they get together ; 12-6

Please help me with this geometry question

Answers

Answer:

2) 40

Step-by-step explanation:

the perimeter of Rhombus =

4 × (√(12/2)²+(16/2)² )

= 4× (√6²+8²)

= 4× (√100)

= 4×10

= 40

Q) 4 × (√(12/2)²+(16/2)² )

→ 4 × (√6²+8²)

→ 4 × (√100)

→ 4 × 10

→ 40 is the perimeter of rhombus.

Q5. A surprise Mathematics test was conducted in a class of 12 students. The
results are shown below.
45
22 12
9 6 63
63 78
12
69 81 3 19
4 points
Calculate the mean score
O 34.92
O 457
O 20.5
O 22​

Answers

Answer:

Mean value of score = 40.167 (Approx.)

Step-by-step explanation:

Given:

Number of students in class = 12

Numbers;

45 , 22, 12,  96, 63,  63, 78 , 12 , 69, 81, 3, 19

Find:

Mean value of score

Computation:

Mean = Sum of all observation / Number of students

Mean value of score = [45 + 22 + 12 +  96 + 63 +  63 + 78  + 12 + 69 + 81 + 3 + 19] / 12

Mean value of score = [482] / 12

Mean value of score = 40.167 (Approx.)

Naomi requires 2.75 pounds of cream cheese for a cake. She has 4 ounces of cream cheese. Cream cheese is available in the store in blocks. Each block is 8 ounces. What is the minimum number of blocks of cream cheese Naomi has to buy? (1 point) 3 4 5 6

Answers

Answer:

5

Step-by-step explanation:

1 pound = 16 ounces

total ounces needed = 2.75 x 16 = 44 pounds

Ounces of cake she needs = 44 - 4 = 40

Minimum blocks needed = ounces needed / ounces of each block

40 / 8 = 5

Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more figurines left to paint. The number fff of figurines left to paint is a function of ttt, the amount of time in minutes Colin spends painting.

Answers

Answer:

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Step-by-step explanation:

Given

[tex]t \to time[/tex]

[tex]f \to figurines[/tex]

Required

Determine the function

From the question, we have:

[tex]60\ minutes \to 9\ left[/tex]

This is represented as:

[tex]f(60) = 9[/tex] or [tex](60,9)[/tex]

If he spends 20 minutes on 1 figurine;

[tex]20\ minutes = 1\ figurine[/tex]

Multiply both sides by 3

[tex]60\ minutes = 3\ figurines[/tex]

This means that, he spends 60 minutes on 3

plus he still has 9 left

So, the initial figurines is:

[tex]f(0) =3 + 9[/tex]

[tex]f(0) =12[/tex] or [tex](0,12)[/tex]

So, we have:

[tex](60,9)[/tex] and [tex](0,12)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12- 9}{0 -60}[/tex]

[tex]m = \frac{3}{ -60}[/tex]

[tex]m = -\frac{1}{20}[/tex]

The equation is then calculated as;

[tex]f(t) = m * t + c[/tex]

[tex]f(t) = -\frac{1}{20} * t + c[/tex]

[tex]f(t) = -\frac{1}{20}t + c[/tex]

To solve for c, we have:

[tex]f(60) = 9[/tex]

So, we have:

[tex]9 = -\frac{1}{20} * 60 + c[/tex]

[tex]9 = -3 + c[/tex]

Add 3 toboth sides

[tex]c =12[/tex]

Hence, the equation is:

[tex]f(t) =-\frac{1}{20} t + c[/tex]

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Answer:

f=-1/20t+12

Step-by-step explanation:

khan

A computer store bought a program at a cost of ​$10 and sold it at a selling price of ​$13. Find the percent markup.

Answers

Answer: 30 %

Step-by-step explanation:
Cost = $10
Selling price = $13
Markup = selling price - cost price
= $13 - $10
= $3
percent markup = markup/cost
= $3/$10
= 0.3 = 30%
Percentage markup is 30

Math question......please get the correct answer

Answers

Answer:

7 pies

Step-by-step explanation:

The graph is counting by 2s and the question is asking how many pies have 90 or more cherries in the pie so, I counted and got 7. 4 from 90-119 and 3 from 120-149. On 120-140 the graph fills up to 2 and then fills a half which counts as one pie 4+2+1=7 pies.

Answer:

7 pies

Step-by-step explanation:

Which statement about correlation and causation is true?

1. Correlation cannot occur without causation.
2. Correlation and causation are always unrelated.
3. Causation implies correlation.
4. Correlation implies causation.

Answers

Answer:

it is number 1

Step-by-step explanation:

i asked my teacher

Answer: 3 or 4, this question isnt exactly possible to answer

Step-by-step explanation:

Which graph represents the function p(x) = |x - 1|?

Answers

Step-by-step explanation:

Fourth graph represent the function p(x) = |x – 1|

Answer:

B

Step-by-step explanation:

Just did the unit test

Mickey planted a 34" tree that grows 7.5" every year. How tall will the tree be in 5 years

Answers

Answer:

71.5"

Step-by-step explanation:

7.5x5=37.5

37.5+34=71.5"

Answer:

71.5

Step-by-step explanation:

make a formula7.5y+347.5x5=37.537.5+34=71.5

I will give u brainliest and 5 star and thanks if its correct

Answers

Answer:

A

Step-by-step explanation:

bcz 7 times 7 times 7  3 times

Answer:

A)

Step-by-step explanation:

The expression would be 7x7x7 because exponents work that way in steps of using multiplication. It an expression used to say "3 times more" that the real amount. 7³ = to the the expression of 7x 7 x 7.

Note:

Hope this helps!

-kiniwih426

Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold?

Answers

Answer:

425000×0.0235=9987.5

379000×0.0235=8906.5

9987.5+8906.5=18894 that is the amount he gonna get

Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet.
If Emma’s model has a wingspan of 30 centimeters (cm), what is the length of the model?

Answers

Answer:

it should be either a or b

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