THis table gives a few (x, y) pairs of a line in the coordinate plane.

x ......y

48 -30

61 -45

74 -60


What is the x-intercept of the line?

Answers

Answer 1

Answer:

The x-intercept is : (22, 0)

Step-by-step explanation:

Given the table

x                 y

48              30

61               45

74               60

From the table, it is clear that every y value is changing 15 units, and every x is changing 13 units. Hence, it is a straight line.

Hence, we can find the other values of this straight line as well.

so

When the value of y = 15 i.e. (30-15), then the value of x will

be 35 i.e. (48 - 13).

as

y = 30 - 15 = 15, and x = 48 - 13 = 35.

Similarly,

When the value of y = 0 i.e. (15-15), then the value of x will be 22 i.e. (35-13).

as

y = 15-15 = 0, and x = 35 - 13 = 22.

As we know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.

so, as we have checked that when the value of y = 0, then the value of x = 22.

Therefore, the x-intercept is : (22, 0)


Related Questions

Ralph bought some oranges. The weight of the oranges was 2.5 kilograms. How many grams is this? 25,000 g 0.025 g 0.0025 g 2,500 g

Answers

Answer:

2,500

Step-by-step explanation:

The weight of the oranges was 2.5 kilograms, the number of grams is,  2500g. So Option D is correct.

What are Units ?

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorised.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

Ralph bought some oranges.

The weight of the oranges was 2.5 kilograms.

The number of grams = ?

It is known that,

1 kilogram = 1000 gram

so 2.5 kg will be equal to

⇒ 2.5 x 1000

⇒ 2500 g

Hence, the number of grams is 2500g

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Write an
equation of a line that passes through each pair of points.
(-2,6) (0,0)

Answers

Answer: y= -3x

(there is no y-intercept in the points you listed so if you can find one on a picture of your question, do so. but since i do not see a given y-intercept, i assume it is 0)

To find the slope, use the two points given.

1st: subtract the y-values. 0-6= -6.

2nd: subtract the x-values. 0-(-2)= 2

3rd: you have -6/2.

4th: simplify to get a slope of -3.

g(n) =-n + 2
How can I find the inverse of this equation?

Answers

Answer:

[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]

Step-by-step explanation:

Given the function

[tex]\:g\left(n\right)\:=-n\:+\:2[/tex]

As we know that a function g is the inverse of function if for [tex]y=f\left(x\right),\:\:x=g\left(y\right)\:[/tex]

[tex]y=-n+2[/tex]

Replace n with y

[tex]n=-y+2[/tex]

Solve for y,

[tex]n=-y+2[/tex]

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

Therefore,

[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]

PLEASE HELP! WILL MARK BRAINLIEST

Which value of b results in infinitely many solutions for the system?

Answers

The answer is the last option

Answer:

D. 3

Step-by-step explanation:

If you multiply the second equation, 3x+2y=1 by 3, it will be 9x+6y=3 which will cancel out the first equation giving you infinitely many solutions.

The ratio of commercial time to television program time is 13 minutes to 47 minutes. How many minutes of commercial time in a two-hour television show?

Answers

Answer:

26 minutes

Step-by-step explanation:

13:47=1 hour

Multiply by 2

26:94= 2 hours

7 in
9 in
5 in
what is the volume

Answers

Answer:

157.5

Step-by-step explanation:

Write the slope-intercept form of the equation for the line.

y = 2x – 1
y = – 2x – 1
y = 1/2 x-1
y = 1/2 x+1

Answers

Answer:

y = 2x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points on the graph.

Point (1, 1)

Point (-1, -3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-3-1}{-1-1}[/tex]Subtract:                       [tex]m=\frac{-4}{-2}[/tex]Divide:                          [tex]m=2[/tex]

Step 3: Find y-intercept b

Given: (0, -1) as y-intercept

Step 4: Write linear equation

y = 2x - 1

The equation y = 2x - 1 is the correct representation of the line in slope-intercept form.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

Among the options provided, the equation y = 2x - 1 is already in the slope-intercept form. In this equation, the slope is 2, which means that for every unit increase in x, y increases by 2. The y-intercept is -1, indicating that the line intersects the y-axis at the point (0, -1).

The equations y = -2x - 1, y = 1/2x - 1, and y = 1/2x + 1 are not in slope-intercept form. In the equation y = -2x - 1, the slope is -2 and the y-intercept is -1. In the equation y = 1/2x - 1, the slope is 1/2 and the y-intercept is -1. Lastly, in the equation y = 1/2x + 1, the slope is 1/2 and the y-intercept is 1.

Therefore, the equation y = 2x - 1 is the correct representation of the line in slope-intercept form.

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What is the value of K?
answers needed immediately please and thank you.

Answers

Answer: k = 10

because ∠MYZ  is the outer angle of the triangle XYZ

=> ∠MYZ = ∠YZX + ∠YXZ

⇔ 115° = (4k + 5)° + (6k + 10)°

⇔ 115 = 10k + 15

⇔ 10k = 100

⇔ k = 10

Step-by-step explanation:

PLEASE HELPP!!
(look at the picture)

Answers

Answer:

Ok

Step-by-step explanation:

Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds

Step-by-step explanation:

Maria is putting up a shelf on a wall in her closet. The figure below shows triangle ABC, which
represents a bracket that will be used to support the shelf. What is the length of the wall? *

Answers

Anwer:

14 cm

Step-by-step explanation:

Let's apply the Phytagorean Theorem [tex]a^{2}+b^{2}=c^{2}[/tex]

Since we only have one side and the hypotenuse:

[tex]a^{2}+24^{2}=28^{2}\\a^{2}+576=784\\a^{2}=784-576\\a^{2}= 208\\[/tex]

[tex]a=\sqrt{208}\\a= 14.42\\a= 14 cm[/tex]

The length of the wall is approximately 14.4 units.

What is Pythagoras' theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Maria is putting up a shelf on a wall in her closet.

The figure below shows triangle ABC, which represents a bracket that will be used to support the shelf.

AC = 24, BC = 28 = hypotenuse, AB = wall

Using the Pythagorean theorem, we can solve for the length of AB (the wall):

AB² = BC² - AC²

AB² = 28² - 24²

AB² = 784 - 576

AB² = 208

AB = sqrt(208)

AB ≈ 14.4

Therefore, the length of the wall is approximately 14.4 units.

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How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.

Answers

Answer:

3 ways

Step-by-step explanation:

How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.

We solve using combination

n-1 C r-1 = nCr = n!/r! (n - r)!

n = 4 identical marbles

r = 3 jars

Hence:

4 - 1 C 3 - 1 = 3C2

= 3!/2! (3 - 2)!

= 3 ways

rearrange x - y + 1 = 0

Answers

Answer:

y=x+1

or x=y-1

Step-by-step explanation:

What is the answer???

Answers

Answer:

3, 11, and 14

Step-by-step explanation:

One side length of a triangle that is selected at random must be smaller than the sum of the other two side lengths and bigger than their difference

one side of this triangle is 4 and the other is 7 so if we call the third side length x

7-3 < x < 7+3 ➡ 4 < x < 11

Once a month volunteers from the Green Sea Club clean up litter at the beach. Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.

Answers

Answer: 6

Step-by-step explanation: :)

Answer:

6

Step-by-step explanation:

Bosian was converting Gallons to Quarts. He said that he had 5 gallons. Bosian said that 1 gallon 5 quarts so 5 gallons is 5 What does Bosian do wrong? How do you correct it? ​

Answers

Answer:

Bosian used the wrong conversion for converting Gallons to Quarts. The correct conversion is: 1 gallon = 4 Quarts and correct solution is: 5 gallon = 20 quarts

Step-by-step explanation:

Bosian Conversion from Gallons to Quarts

He had 5 gallons

He said that 1 gallon = 5 quarts

So, 5 gallons = 5*5 = 25 quarts

Mistake of Bosian:

He used the wrong conversion: i.e, 1 gallon = 5 quarts

The correct conversion is:

1 gallon = 4 quarts

Correct Solution:

1 gallon = 4 quarts

So, 5 gallons = 5*4 = 20 quarts

help please and thanks

Answers

c

I saw this test my cousin had it

4x+3y<12 what’s the answer?

Answers

The answer would be y<-4/3x+4 if it’s 4x+3y<12 if it’s 4x+3y=12 the answer would be y=-4/3x+4. I don’t know what your implying but &12 so if it didn’t help I’m sorry. If this helped please mark me branliest

i need help wiht math

Answers

Answer:

Is that all you need help with or you need help with more?

Step-by-step explanation:

If lilian finds 1,000,000 balls on the beach and spends 95 hours finding the balls by herself if she has 3 friends helping her how long will they get done

Answers

Answer:

New time to find all balls = 23.75 hours

Step-by-step explanation:

Given:

Total time = 95 hour

Total people = 1 Lillian + 3 friends = 4

Find:

New time to find all balls

Computation:

New time to find all balls = 95 / 4

New time to find all balls = 23.75 hours

need the answer please

Answers

Needed points sorry hdjdjdjdjdjd

Answer:

Slope =-1/2

P1 (0,4)

P2(-2,5)

Step-by-step explanation:

Slope:

m=(y2-y1)/(x2-x1)

=(3-6)/(2+4)

=-3/6

m=-1/2 = -0.5

Now finding the equation of the line passing through the 2 points:

3 = -1/2 * 2 +q

3 = - 1 +q

q=4

eq. y= -(1/2)x + 4

Let's find 2 other points

x=0

y= - 1/2 *0 +4 =4

(0,4)

x= -2

y= - (1/2)*(-2) +4 = 1+4 = 5

(-2,5)

Choose the system of equations that matches the following graph: Picture of coordinate plane with line y equals negative 3 over 7 x plus 1 and line y equals 5 over 7 x plus 9. They intersect at negative 7, 4.

Answers

Answer:D

Step-by-step explanation:

HELP!!! this is due today and i’m super dumb all help is much appreciated!

Answers

Answer:

No

Step-by-step explanation:

It is never a right triangle unless it says so, it normally has a little square box thing on the angle that is right

Subtract (3x +5y-4)-(4x+11)

Answers

Answer:

-x + 5y + 7

-This should be the answer

I was earning $47,000 per year until she received a 7% raise at the start of 2019. What will her new salary be? Write a proportion and show how you solved.

Answers

Answer:

$50,290

Step-by-step explanation:

I was earning $47,000 per year until she received a 7% raise at the start of 2019.

Step 1

We find how much 7% raise is

Hence,

7 % of $47,000

= 7/100 × $47,000

= $3290

What will her new salary be?

Her new salary is calculated as:

Last year's salary + 7% raise

= $47,000 + $3290

= $50,290

Her new salary is $50,290

A board 75 cm long is cut into two parts such that one part is 15 cm more than the other. How long is each part?

Answers

Answer:

30 cm, and another is 45 cm.

Step-by-step explanation:

First, we need to subtract 15 from 75, giving us 60. Then, we divide 60 by 2, giving us 30, which is the length of one part. We add 15 back to 30, which gives us 45. One part is 30 cm and the other is 45 cm

What’s the answer to this pls! Thanks uuuu!!

Answers

The answer would be SAS because segment AB is congruent to segment DE and Angle ABC is congruent to angle DEF and then segment BC is congruent to segment EF

The area of a rectangle with length l and width w is lw. Greg is getting a new hardwood floor in his rectangular dining room. The room is 14 feet long and 11 feet wide. What is the area of the dining room floor? Write your answer as a whole number or decimal.

Answers

Area = lw

Area = 14 x 11

Area = 154 square feet

please help me !!! please

Answers

Answer:

x= c/14

Step-by-step explanation:

add 8 to both sides of the equation, then simplify, next divide both sides of the equation by the same term, and finally simplify again.

What’s the answer to this? Only if you know it though!!

Answers

Answer:

ASA congruence (A)

Step-by-step explanation:

These triangles have a congruent side in between two congruent angles; this meets the criteria for ASA congruence.

HTH :)

PLEASE HELP MEEEE!

What is the slope?
M= 2/1

M= 1/2

M= -2/1

M= -1/2

Answers

The slope is 1/2. Every time the x increases by 2, the y increases by 1. Slope is the rise over the run, which would be 1/2

hi

slope  is  1/2

You have A (0;0) and B ( 2;1)  

slope  is  ( Yb-Ya )/(Xb-Xa) =   (1-0)/ ( 2-0) = 1/2

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