What is the x and y intercept of y=1/3x-2, y=12-6x, and y=3x-7? Please show work!

Answers

Answer 1

Answer:

y = 1/3x - 2:

y - intercept: - 2x - intercept: 6

y = 12 - 6x:

y - intercept: 12x - intercept: 2

y = 3x - 7:

y - intercept: -7x - intercept: 7/3

Step-by-step explanation:

Hello!

Slope Intercept Form

The slope-intercept form of a line is [tex]y = mx + b[/tex]

y = output, ordinatem = slopex = input, abscissab = y-intercept

y = 1/3x - 2

The y-intercept is the "b" value of the line, given as -2.

To find the x-intercept, we simply replace the y-value with 0:

0 = 1/3x - 22 = 1/3x6 = x

y - intercept: - 2

x - intercept: 6

____________________________________________________

y = 12 - 6x

You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.

Solving for the x-intercept (remember, replace y with 0):

0 = -6x + 12-12 = -6x2 = x

y - intercept: 12

x - intercept: 2

____________________________________________________

y = 3x - 7

Simply take the "b" value, -7, to find the y-intercept of -7.

Solve for the x-intercept:

0 = 3x - 77 = 3xx = 7/3

y - intercept: -7

x - intercept: 7/3

Additional Note:

You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.

The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.


Related Questions


The function f(x) is shown on the graph. If f(x) = 0, what is x,?

Answers

Answer:

-2, 1 or 3 only

Step-by-step explanation:

just did it

20 points, please explain your answer :)​

Answers

Answer:

Angle 3 = 70

Step-by-step explanation:

This is a geometry property

"opposite angle theorem"

It's pretty easy to prove it as well
180-70 = 110
180-110 = 70

Find the amplitude of this function. ​

Answers

Answer:

2.5

Step-by-step explanation:

The amplitude of a function is the amount by which the graph of the function travels above and below its midline.

The distance from the highest most point to the lowest point vertically is 5, meaning that the midpoint is 2.5 units from either end.

Find the midpoint of the line segment. (Giving 25 points please hurry)​

Answers

Answer:

(-4,-3)

Step-by-step explanation:

Answer:

(-4, -3)

Step-by-step explanation:

well, the only points possible are 3 points, a first, 2nd, and 3rd point. And the 2nd point is the mid-point.

Solve for x: 3(x + 1) = −2(x − 1) − 4

1

−1

−5

−25

Answers

Answer:

x = - 1

Step-by-step explanation:

3(x + 1) = - 2(x - 1) - 4 ←  distribute parenthesis on both sides

3x + 3 = - 2x + 2 - 4

3x + 3 = - 2x - 2 ( add 2x to both sides )

5x + 3 = - 2 ( subtract 3 from both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

If the length of a rectangle is 6 more than twice the width and the total perimeter is 84cm, what is the rectangle's length?

Answers

Step-by-step explanation:

length = 2×width + 6

84 = 2×length + 2×width

now using the first in the second equation :

84 = 2×(2×width + 6) + 2×width = 4×width + 12 + 2×width

84 = 6×width + 12

72 = 6×width

width = 12 cm

length = 2×width + 6 = 2×12 + 6 = 24 + 6 = 30 cm

A
What is the formula for margin of error?
ZON'S
O ME=
√s
O ME=
O ME=
Ο ΜΕ
=
Z NS
7
Z S
Z•S
7

Answers

Answer:

[tex]\displaystyle ME=\frac{z\cdot s}{\sqrt{n}}[/tex]

Step-by-step explanation:

[tex]z[/tex] represents the critical value, [tex]s[/tex] represents the sample standard deviation, and [tex]n[/tex] represents the sample size.

How much is 55 as a percentage of 50?

Answers

Answer:

50 27.5

50.01 27.5055

50.02 27.511

50.03 27.5165

Step-by-step explanation:

Answer:

55 is 110% of 50

Step-by-step explanation:


Stacy uses 4 cups of milk to make a batch of rice pudding. How many batches of rice pudding
can she make with 3 gallons of milk?
Hint: There are 16 cups in 1 gallon.

Answers

Answer:

12

Step-by-step explanation:

There are

16 cups = 1 gallon

3 gallons = 48 cups

48 divided by 4 = 12 batches of rice pudding

Answer

12

Step-by-step explanation:

4 cup of milk = 1 batch of rice pudding

1 gallon of milk= 16 cups of milk

3 gallon of milk = 3x 16

=48 answer

then, 48 cup of milk = 48 ÷ 4

= 12 answer

Hence, stacy can make 12 batch of pudding with 3 gallon of milk.

which coordinate is on the graph of the equation 4x-3y=8

Answers

Answer:

Coordinates (0, -8/3)

using technology find the solution for the following system of equations

y = -2x + 6
y=3x-4

Answers

Answer:

(1.333, 0) and (3, 0)

Step-by-step explanation:

Use desmos to input your equations then click on the solutions (zeroes)

The value of a car decreases by 7.2% each year.
When bought the car cost £6200.
Work out how much the car will be worth after one year.

Answers

5753.6 is the answer to the equation

The car will be worth after one year is £ 5753.6.

What is exponential function?

An exponential function is defined by the formula f(x) = [tex]a^{x}[/tex], where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form

f(x) =  [tex]a^{x}[/tex]

Where a > 0 and a is not equal to 1.

x is any real number.

Given

Car cost when bought A =  £ 6200

Value of a car decreases by 7.2% each year.

n = 1

r = 7.2% or 0.072

The car will be worth after one year

[tex]y= A (1-r)^{n}[/tex]

⇒ [tex]y =6200(1-0.072)^{1}[/tex]

⇒ [tex]y = 6200(0.928)[/tex]

⇒ y = £ 5753.6

Hence, the car will be worth after one year is £ 5753.6.

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a line contains the point (2,3) and has a slope of 1/2 What is the point-slope form of the equation for the line

Answers

The point-slope form of the equation for the line is y - 3 =1/2(x - 2)

Point-slope form

From the question, we are to determine the point-slope form of the equation for the line

The point-slope form of the equation of a line is given by

y - y₁ = m(x - x₁)

Where (x₁, y₁) is a point on the line

and m is the slope of the line

From the given information,

Slope, m = 1/2

and we have the point (2,3)

∴ The point-slope form of the equation for the line is

y - 3 =1/2(x - 2)

Hence, the point-slope form of the equation for the line is y - 3 =1/2(x - 2)

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Part A: In your own words, describe the steps that are necessary to determine whether angles are coterminal.

Part B: Explain why coterminal angles have a difference that is a multiple of 360° degrees, such as 720° or 1080°.

Part C: Find three angles that are coterminal with an angle measuring 75°. Show all work.

Answers

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.    

Step-by-step explanation:

In the diagram, triangle SOP~ triangle GNQ, fine the value of x and explain

Answers

Answer: 33

Step-by-step explanation:

Because corresponding sides of similar triangles are in proportion, [tex]\frac{x}{22}=\frac{39}{26} \longrightarrow x=\boxed{33}[/tex]

Convert 7.5% to a fraction in lowest terms.
75/100
7 5/10
3/4
7 1/2

Answers

your answer will be D, 7 1/2

Find the correct missing value: y⁹ (x^²y = ³ ) ⁰ 12 X =​

Answers

Answer:

-3

Step-by-step explanation:

Given equation:

[tex]\implies (x^4y^{-3})^n=\dfrac{y^9}{x^{12}}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{1}{a^n}=a^{-n}:[/tex]

[tex]\implies (x^4y^{-3})^n=x^{-12}y^9[/tex]

Rewrite -12 as (4 × -3) and 9 as (-3 × -3):

[tex]\implies (x^4y^{-3})^n=x^{(4 \times -3)}y^{(-3 \times -3)}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c[/tex]:

[tex]\implies (x^4y^{-3})^n=(x^4)^{-3}(y^{-3})^{-3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^c b^c=(ab)^c[/tex]

[tex]\implies (x^4y^{-3})^n=(x^4y^{-3})^{-3}[/tex]

Therefore, the missing value is -3

Imagine buying a brand new Ford Fusion hybrid. If x represents the number of miles a car is driven, and y represents the total amount of money spent on the car, write an equation that relates x and y for the Fusion hybrid.

Answers

The equation that relates x and y for the Fusion hybrid is y = k + x

How to write and solve equation?

Total amount of money spent on the car = yNumber of miles a car is driven = x

Assume, other money spent on the car = k

So,

y = k + x

Therefore, the equation that relates x and y for the Fusion hybrid is y = k + x

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a rectangle has an area of 7.5m2. one of the sides is 0.3m in length. what is the perimeter of the rectangle?

Answers

Step-by-step explanation:

the area of a rectangular is

length × width

we know the area and one side, let's say it's the width (it does not matter, as multiplication are commutative, and a×b = b×a).

so,

7.5 = length × 0.3

length = 7.5 / 0.3 = 25 m

the perimeter of a rectangle is

2×length + 2×width = 2×25 + 2×0.3 = 50 + 0.6 = 50.6 m

What might the area of the rectangle be? ​

Answers

Answer:

Not enough information to determine the area.

Step-by-step explanation:

The bases of the prism below are right triangles. If the prism's height measures 8 units and its volume is 60 units³, solve for x.

Answers

Answer:

3

Step-by-step explanation:

Volume of prism = 0.5 times height times length times width

60 = (0.5)(8)(5)(x)

120 = 8(5)(x)

120 = 40x

x =  3

Let me know if its right

Length of another side of base x = 3 unit

What is prism?

A prism has a solid shape consisting of two identical ends (such as triangle, square, rectangle, etc.), flat faces or surfaces and uniform cross-section across its length. The cross-section looks like a triangle hence called triangular prism. The shape of the prism does not have any curve. Therefore, a prism can have square, rectangular, pentagonal and other polygon shapes but not the circular shape.

Height of the prism = 8units

Length of one side of base = 5 units

Length of another side of Base = x

Base is a right angle

Base Area = 5x/2

Volume of prism = 60 unit³

Volume of Prism = Base Area × Height

60 = (5x/2) × 8

60/8 = 5x/2

x = 120/40

x = 3 unit.

Hence,  x = 3 unit which is length of another side of base.

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What is the area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches
long? Round the answer to the nearest tenth.
2,331.0 in.²
1,554.0 in.²
1,165.5 in.²
194.3 in.²

Answers

The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²

How to calculate the area of a regular hexagon

The formula is given thus;

Area of hexagon = (1/2) × a × P

where a = the length of the apothem

P = perimeter of the hexagon

Given a = 18. 5 inches

Note that Perimeter, p = 6a with 'a' as side

p = 6 × 21 = 126 inches

Substitute values into the formula

Area, A = 1 ÷2 × 18. 5 × 126 = 1 ÷2 × 2331 = 1, 165. 5 In²

Thus, the area of the regular hexagon is 1, 165. 5 In²

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Pls help asap !!! Show all work and I’ll give brainliest

Answers

Implementing the LSA from your other question

https://brainly.com/question/27870363?

LSA=3360ft²

One can can paint 400ft²

Total cans

3360/4008.4cans

9cans you need

If you know that the product of two powers is 5 to the power of 3, and that the quotient is 5 to the power of 17, what could the two powers be? Explain how you know this answer is correct.

Answers

Answer:

[tex]5^{10} \cdot 5^{-7} = 5^3[/tex]

[tex]\frac{5^{10}}{5^{-7}} = 5^{17}[/tex]

Step-by-step explanation:

You have two equations:

[tex]5^a \cdot 5^b = 5^3[/tex]

[tex]\frac{5^a}{5^b} = 5^{17}[/tex]

But since

[tex]x^a \cdot x^b = x^{a+b}[/tex]

you only need to solve a+b = 3 and a-b=17

Rewrite the second as a = 17+b and plug it into the first:

17+b + b = 3, then you find, 2b = -14, so b = -7.

Then a=3-b, so a = 10.

i need help on this hegarty question i have been stuck on for hours

Answers

The difference of the two numbers in scientific form is:

[tex]493*10^{-9} = 0.00000493[/tex]

How to solve the difference?

Here we want to solve:

[tex](5*10^{-7}}) - (7*10^{-9})[/tex]

To solve this, we should have the same exponent in both sides, to get that, we can rewrite the first number as:

[tex]5*10^{-7} = 500*10^{-9}[/tex]

Replacing that, we will get:

[tex](500*10^{-9}) - (7*10^{-9}}) = 493*10^{-9}[/tex]

To write it in standard form, we need to move the decimal point 9 times to the left, so we get:

[tex]493*10^{-9} = 0.00000493[/tex]

The difference is equal to 0.00000493.

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H
Which line is parallel to line r?
Oline p
O line q
O line s
Oline t

Answers

Answer:

Line s

Step-by-step explanation:

They are the same distance apart, so this makes them parallel.

By the definition of parallel lines, the line r is parallel to line s.

What is Coordinate System?

Arrangement of reference lines or curves used to identify the location of points in space is called as Coordinate System.

We have to find the line which is parallel to line r.

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

They are always parallel and are at equidistant from each other.

Parallel lines are non-intersecting lines.

We can also say Parallel lines meet at infinity.

As we observe the figure line s is parallel to line r and it is equidistant from r.

Hence, line s is parallel to line r.

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A group of 40 students from your school is part of the audience for a TV game show. The total number of people in the audience is 120 . What is the theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant​ spots?

Answers

Using the hypergeometric distribution, it is found that there is a 0.1363 = 13.63% theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant​ spots.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

The values of the parameters are given as follows:

N = 130, k = 40, n = 10.

The theoretical probability of 5 students from your school being selected is P(X = 5), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 5) = h(5,120,10,40) = \frac{C_{40,5}C_{80,5}}{C_{120,10}} = 0.1363[/tex]

0.1363 = 13.63% theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant​ spots.

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There are square tiles arranged in a pattern. the pattern has rows that are 5 tiles wide and an unknown number of rows. if you take these tiles and add one additional tile, you can create a pattern that has rows that are 3 tiles wide, with 3 more total rows than the original pattern. how many are in the original pattern?

Answers

An equation is formed of two equal expressions. The number of rows in the original pattern will be 4.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of rows be represented by x. Now, the pattern has rows that are 5 tiles wide and an unknown number of rows. if you take these tiles and add one additional tile, you can create a pattern that has rows that are 3 tiles wide, with 3 more total rows than the original pattern. Therefore, we can write,

(Number of Tiles before) + 1 tile = (Number of Tiles afterward)

5x + 1 = 3(x+3)

5x + 1 = 3x + 9

5x - 3x = 9 - 1

2x = 8

x = 4

Hence, the number of rows in the original pattern will be 4.

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a machine makes 1 gadgets every 20 seconds .how many gadgets does it makes in 5 minutes

Answers

Answer:

it makes 15 gadgets in 5 minutes

Step-by-step explanation:

you take thw 1 gadget every 20 seconds there are 60 seconds in 1 minutes so 60 ÷ 20 is 3 so it makes 3 gadgets every minute so 3 x 5 is 15 so it makes 15 gadgets every 5 mins

Answer:

15 gadgets

Step-by-step explanation:

look above

hope ot helps

Part B

What is the area of the target that earns at least 30 points on a throw?


Select the correct from the drop-down menu.


the area is ____ square inches.

a) 16

b) 49

c) 121

d) 144

Answers

Given:Radius of 50 point region= 3 inWidth of other regions= 4 inTo find:

The area of the target which earns 30 points on a throw.

Solution:

[tex]\huge\boxed{Formula: a= \pi{r}^{2}}[/tex]

[tex]4+3[/tex]

[tex]=7[/tex]

Let's solve

We have to find the answer in terms of π so, we'll just have to multiply the radius by itself.

[tex]a={7}^{2}[/tex]

[tex]\large\boxed{a= 49 \pi\: {in}^{2}}[/tex]

Hence, the area of the target which earns 30 points on a throw is 49π square inches.

Answer= Option B

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