slope 3, passes through (0,-2) in slope intercept form

Answers

Answer 1

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \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-\stackrel{y_1}{(-2)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{0}) \implies y +2= 3 (x -0) \\\\\\ y+2=3x\implies y=3x-2[/tex]


Related Questions

Find the original price given the total amount and tip rate.

Total price: $307.32

Tip rate: 20%

Enter the correct answer in the box.

Answers

If the total price is $307.32 and tip rate is 20%, the original price given the total amount and tip rate is $256.10

What is the sum of the percentage of the original price and tip rate?

First and foremost, the tip rate is an added layer on the original price of 100%, which means that when the original price and the tip rate are added together, it gives 120%, hence, the total price of $307.32 is 120% of the original price

120% of original price=$307.32

1% of original price=$307.32/120

1% of original price=$2.561

100% of original price=$2.561*100

100% of original price=$256.10

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Which graph represents the solution to this inequality?

Answers

A graph which represent the solution to this inequality is: graph B.

What is an inequality?

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).

Given the following inequality:

-1/4(12x + 8) ≤ -2x + 11

Opening the bracket, we have:

-3x - 2 ≤ -2x + 11

3x - 2x ≤ -11 - 2

x ≤ -13

Note: When the arrow points to the left and shaded, the inequality is either (≤).

In conclusion, a graph which represent the solution to this inequality is graph B.

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hellllllllllp hurrryyy pleaseee

Answers

The rate at which Riya is applying the mulch to the garden is 250000:1.

What is the rate?

It should be noted that rate is simply used to show the relationship between two things. A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the dependent variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

Per unit of time is a frequent sort of rate, and examples include speed, heart rate, and flux. Exchange rates, literacy rates, and electric field ratios are examples of ratios with a non-time denominator (in volts per meter).

From the information, Riya is applying mulch to the garden and she applied at a rate of 250000cm³ for every m² of space.

Therefore, the rate at which Riya is applying the mulch to the garden is 250000:1.

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PLEASE HELPP!!! 7(5h - 4) - 1 = 14 - 8h Show your work!!!!

Answers

Answer: h=1

Step-by-step explanation:

multiple 5h and -4 by 7

35h-28-1=14-8h

35h-29=14-8h

add 29 to both sides

35h=43-8h

43h=43

i think this is right...

The given equation is,

→ 7(5h - 4) - 1 = 14 - 8h

Now the required value of h will be,

→ 7(5h - 4) - 1 = 14 - 8h

→ 35h - 28 - 1 = 14 - 8h

→ 35h - 29 = 14 - 8h

→ 35h + 8h = 14 + 29

→ 43h = 43

→ h = 43/43

→ [ h = 1 ]

Hence, the value of h is 1.

Use the proportion d / 180° = r radians/πradians . Find the equivalent degree measure or radian measure. 13π/8 radians

Answers

Answer:

the answer is the 20⁰ ok that

16 Brett was given the problem: "Evaluate 2x¹ +5 when x = 3." Brett wrote that the answer was 41. Was Brett correct? Explain your answer.​

Answers

In the expression 2x + 5 at x = 3 Brett is wrong as the correct answer is 11.

What is an expression?

An expression is written in the form of numbers and variables with arithmetic operations.

According to the given question we have to evaluate 2x + 5 at x = 3 and match our answer with Brett which is 41.

To obtain the value of 2x + 5 at x = 3, we have to substitute x with 3 in the given expression which is,

= 2(3) + 5

= 6 + 5.

= 11.

So, our answer is correct which is 11 and Brett is wrong.

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Please help me I need help

Answers

Answer:

2

Step-by-step explanation:

8+14 = 22

22-5 = 17

17-7 = 10

10+3 = 13

13-7 = 6

6-4 = 2

Answer:

d) 2

Step-by-step explanation:

Consider the polynomial -y4+2y2+3y+8.
1) What is the constant term?
2) What is the exponent of the third term?

a. 1) The constant term is -y4.
2) The exponent of the third term is 3.

b. 1) The constant term is 8.
2) The exponent of the third term is 1.

c. 1) The constant term is 8.
2) The exponent of the third term is 3.

d. 1) The constant term is -y4.
2) The exponent of the third term is 1

Answers

1. The constant term of the polynomial is: 8.

2. The exponent of the third term is 1.

What is a Term of a Polynomial?

A term of a polynomial can include any of the following:

An alphabet which is referred to as a variable, standing alone.The product of a variable and a number.A number that stands alone which is called a constant.The product of a variable that has an exponent and a number.A variable with an exponent.

Any of the above is referred to as a term of a polynomial.

Given the polynomial, -y^4 + 2y² + 3y + 8, the polynomial has 4 terms, -y^4, 2y², 3y, and 8.

Thus:

1. The constant term of the polynomial is: 8.

2. The exponent of the third term is 1.

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Answer the 2 question in the photo
[easy points]

Answers

Answer:

Cube = 8 vertices

Pyramid=5 vertices

Step-by-step explanation:

Cube = 8 vertices

Pyramid=5 vertices

add 4 to 6, then subtract y from the result

Answers

Answer:

10

4 plus 6 is equal to 10 there you go

4+6=10
10-y

the amount of y is unknown so the expression remains 10-y

ABC is a right triangle with vertices at A (0,0), B (0, 2b) and C (2a, 0). Point D (a, b) is the
midpoint of BC. Which of the following statements could be used to show that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices of the triangle?

Answers

Using the midpoint concept and the distance between two points, the correct statement is given by:

[tex]\sqrt{(0 - a)^2 + (2b - b)^2} = \sqrt{(2a - a)^2 + (0 - b)^2} = \sqrt{(a - 0)^2 + (b - 0)^2}[/tex]

What is the midpoint concept?

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence the coordinates of the midpoint of the hypotenuse are given as follows:

x: (2a + 0)/2 = a.y: (0 + 2b)/2 = b.

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence the distance from the midpoint of the hypotenuse to any vertex is given by:

[tex]\sqrt{(0 - a)^2 + (2b - b)^2} = \sqrt{(2a - a)^2 + (0 - b)^2} = \sqrt{(a - 0)^2 + (b - 0)^2}[/tex]

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Find an equation of the line passing through the points (5, 2) with the slope m =5/6​

Answers

Step-by-step explanation:

I guess, the equation is meant to be in slope-intercept form :

y = ax + b

"a" is the slope, "b" is the y intercept (the y value when x = 0).

in a situation like this, where we have the slope and one point of the line, we can start with the point-slope form

y - y1 = a(x - x1)

"a" is again the slope, and (x1, y1) is the given point.

and then we transform this over to the slope-intercept form.

so, in our case here

y - 2 = 5/6 × (x - 5) = 5x/6 - 25/6

let's simplify this by multiplying everything by 6 :

6y - 12 = 5x - 25

6y = 5x - 13

y = 5/6 x - 13/6

or

y = 1/6 × (5x - 13)

write 0.243 as a repeating decimals, rounded to six digits​

Answers

Answer:

[tex]0.243243[/tex]

A piece of brass has a volume v cm'.
aIf there were 6 cm' more brass, its mass
would be 200 g. Write down an expression
in V for its density (g/cm').

Answers

Given data,

A piece of brass has a volume v cm'.

there were 6 cm'

mass would be 200 g

So,

We can write,

                       volume V = 6cm

                brass mass M = 200g

                        Find density d.

Define Density :

Density, mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume. Density is commonly expressed in units of grams per cubic centi meter.

                                  d = M/V

Where,

M: It is the mass

V: It is the volume

According to the data of the statement we have:

                                [tex]V = 6 cm^{1}[/tex]

                                [tex]M = 200g[/tex]

So, the density is given by:

                                d = M/V

                                d = [tex]\frac{200g}{6cm^{1} }[/tex]

                                d = [tex]33.33\frac{g}{cm^{1} }[/tex]

Therefore,

The density of the brass ornament is d = [tex]33.33\frac{g}{cm^{1} }[/tex]

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what two numbers equal 24 when multiplied and -11 when added

Answers

Answer

-8 and -3

-8 (-3) = 24
-8 + -3 = -11

Hope this helps!

find the sum of 7531, 5252, 6375

Answers

The sum of the three numbers 7531, 5252 and 6375 is 19158

How to determine the sum of the numbers?

The numbers are given as

7531, 5252, 6375

Express the numbers as a summation expression

So, we have

Sum = 7531 + 5252 + 6375

Evaluate the sum

So, we have

Sum = 19158

Hence, the sum of the three numbers 7531, 5252 and 6375 is 19158

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Given: -2x-5=4x-29
Prove: x=4

Answers

Answer:

-2x-5=4x-29

-2x-4x=-29+5

-6x =-24

x=-24/-6

x=4

hence proved

-6x = -24
-6 -6
So therefore you answer is X = 4

50 points!! Find the two consecutive asymptotes, the period (in radians), the phase shift (in radians) and the vertical shift of the function: y = 4csc(5θ - 3π/4)

Answers

Two consecutive asymptotes are θ = - π / 20 and θ = 3π / 20 and the period is π / 5.

How to determine two consecutive asymptotes from a trigonometric function

In this question we must look for two consecutive vertical asymptotes related to a trigonometric function. A function becomes undefined when its denominator is zero. Now we proceed to simplify the expression by trigonometric formulas:

y = 4 · csc (5θ - 3π / 4)

y = 4 / sin (5θ - 3π / 4)

y = 4 / (sin 5θ · cos 3π / 4 - cos 5θ · sin 3π / 4)

y = 4 / [(- √2 / 2) · sin 5θ - (√2 / 2) · cos 5θ]

The function is undefined for (- √2 / 2) · sin 5θ - (√2 / 2) · cos 5θ = 0:

(- √2 / 2) · sin 5θ - (√2 / 2) · cos 5θ = 0

(- √2 / 2) · sin 5θ = (√2 / 2) · cos 5θ

- sin 5θ = cos 5θ

tan 5θ = - 1

5θ = - π / 4 + i · π

θ =  - π / 20 + i · π / 5

θ = (π / 5) · (- 1 / 4 + i)

There are two consecutive asymptotes:

i = 0

θ = - π / 20

i = 1

θ = 3π / 20

And the period is ΔT = 3π / 20 - (- π / 20) = π / 5.

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the difference between three times a number and 16 is at least 8

Answers

The algebraic expression become 3n-16<8.

According to the statement

We have to find that the numerical expression.

So, For this purpose, we know that the

Algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

From the given information:

the difference between three times a number and 16 is at least 8

Then

From 1st statement it become 3n -16

And with other statement and combining

Then  the equation become

3n-16<8

Now solve the expression for the value of the n

then it becomes

3n<24

n<8.

The value becomes is 8.

So, The algebraic expression become 3n-16<8.

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A small business averages $5,500 per month in online revenue, plus another $300 per salesperson per month. Which graph shows all solutions for the number of salespeople who need to be working for the business to generate at least $7,300 in monthly revenue?

A.
A number line ranges from 0 through 10 from left to the right in increments of 1. A solid circular point is at 6. An arrow extends from the point toward the left.
B.
A number line ranges from 0 through 10 from left to the right in increments of 1. A hollow circular point is at 6. An arrow extends from the point toward the left.
C.
A number line ranges from 0 through 10 from left to the right in increments of 1. A hollow circular point is at 6. An arrow extends from the point toward the left.
D.
A number line ranges from 0 through 10 from left to the right in increments of 1. A hollow circular point is at 6. An arrow extends from the point toward the right.

Answers

Answer:

D.

Step-by-step explanation:

Hey there!

In order to find which description of the graph matches the problem, we must first create an equation or an inequality

So, we need to find how much more people the company needs to reach their goal to generate at least $7,300 in monthly revenue

We know that each person adds $300 to the already total of $5,500 per month

Now we can form the equation with this knowledge

[tex]300x + 5,500 \geq 7,300[/tex] where x is the number of people

Now we can simplify the equation

[tex]300x\geq 7500 - 5500\\ 300x\geq 2000\\x\geq 6.67[/tex]

Since we cannot have 6.67th of a person, we must round down because it means that we need more than 6 people

If we round up, it means that you need more 7 people in order to get $7,300 which isn't true

This means, you need more than 6 salespeople per month in order to meet the monthly quota of $7,300 in monthly revenue

Now that we know this, we can make a graph, or find the correct description of the graph

Since they need more than 6 people, the dot that sits on 6 in the number line will not be filled in, indicating that you need more than 6 salespeople

And since we need MORE, not LESS, the line will be pointing to the right

So, the correct answer would be D.

In 60 seconds, Darrell walks 90 meters.Select the two answers that describe the unit rate at which he walks.

Answers

Answer:

1.5 meters per second

Step-by-step explanation:

90 meters divided by 60 seconds is 1.5

answer the problem below
............4
Can (x↑y)2/3 be simplified? yes or no

If yes show how with work if not explain why

Note show your work or ill delete your answer.

Answers

It depends on what you mean "simplify". Chances are the goal here is to resolve any exponents that are improper fractions, meaning we don't want exponents larger than 1, like 4/3, for instance, but smaller than 1, like 2/3, is okay.

Now, by the distributive property of exponentiation,

[tex]\left(x^4 y\right)^{2/3} = \left(x^4\right)^{2/3} y^{2/3}[/tex]

Since [tex](x^a)^b = x^{ab}[/tex], we have

[tex]\left(x^4 y\right)^{2/3} = x^{4\cdot2/3} y^{2/3} = x^{8/3} y^{2/3}[/tex]

Convert the improper fraction to a mixed number.

[tex]\dfrac83 = 3 + \dfrac23[/tex]

Then we can write

[tex]x^{8/3} = x^{3 + 2/3} = x^3 x^{2/3}[/tex]

since [tex]x^{a+b}=x^ax^b[/tex].

Finally, we group together the factors with the same power.

[tex]\left(x^4 y\right)^{2/3} = x^3 x^{2/3} y^{2/3} = \boxed{x^3 (xy)^{2/3}}[/tex]


Find the inverse of each function. Determine whether each inverse is a function. f(x)=(2 x-3)²

Answers

The inverse of function f( x ) = ( 2x - 3)² is [tex]y=\frac{\pm\sqrt{x} +3}{2}[/tex].

A function that can reverse into another function is known as an inverse function or anti-function. A function takes in values, applies specific operations to them, and produces an output. In order to find y when x is swapped with another variable, we must first determine the inverse function. On the other hand, the inverse function and the original function likewise have interchangeable domains and ranges.

We have the function,

f(x) = y = ( 2x - 3 )²

x = ( 2y - 3 )²

2y - 3 = ±√x

Adding 3 from each side.

2y - 3 + 3 = ±√x + 3

2y = ±√x + 3

Dividing each side of the equation by 2.

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

Hence, the inverse of function f( x ) = ( 2x - 3 )² is [tex]y=\frac{\pm\sqrt{x} +3}{2}[/tex].

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PLS HELP 20 points!!1
1. What inequality does this graph represent?

2. Explain how you determined the inequality that is represented by the given graph. What was your thought process?

3. What is a real-world situation that can be modeled using this graph or part of the graph? In your answer, include how you would label for the axes. Describe one point in the solution set.

Please answer with the question number such as,

1.

2.

3.

Thank you!

Answers

Answer:

Step-by-step explanation:

1.

IF THE SHADED REGION IS THE WANTED AREA then the inequality is

y > 2x + 1

BUT IF THE SHADED REGION IS THE UNWANTED AREA then the in equality is

y < 2x + 1

2.

You have to figure out the equation of the dotted line.

Since the line is dotted, it means less than or greater than, it cant be less than equals to or greater than equal to

The gradient of the line is 2 as

rise / run = 14/7 = 2

and y intercept is 1

y > 2x + 1

3.

this is used in economics and for planning to maximize profits and minimize costs.

(b) Find the nth term of the geometric sequence 5 15 45 135​

Answers

The nth term of this given G.P. is  [tex]T_n =5\times[3]^{n-1}[/tex].

Given that

geometric sequence 5 15 45 135​

To find

nth term of this GP.

So, according to the question

We have,

A GP

            5 15 45 135​

From this G.P.

The first term  a = 5,The common ratio r = [tex]\frac{15}{5}[/tex]

So, we know that

The the nth term of the geometric sequence is:

                        [tex]T_n =ar^{n-1}[/tex]

Where,

      Tn = nth term of G.P.         n = nth number.

Now, putting the all given values

                        [tex]T_n =5\times[3]^{n-1}[/tex] -----------------(1)

The nth term of this given G.P. is  [tex]T_n =5\times[3]^{n-1}[/tex], from it we will be calculate all terms till n.

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A florist buys a dozen roses for $12.96 and sells them for $48.48. Find the amount of markup on a single rose.

Answers

The amount of markup on a single rose is $2.74.

What is markup formula?

The markup formula is defined as the profit per unit cost of an item and is given as,

Markup = 100 * profit/cost

We multiply by 100 because we express it as a percentage, not as a fraction.

Now it is given that,

Cost Price of a dozen roses = $2.96

Number of roses = 12

Thus, Cost Price of 1 rose = 12.96/12 = $.108

Now it is also given that, the these dozen roses are sold at $48.48

So, Selling price of 1 rose = 48.48/12 = $4.04

Thus, Profit = Selling Price - Cost Price

⇒  Profit = $4.04 - $1.08

⇒  Profit = $2.96

Thus,Amount of Markup of single rose = Profit/Cost of 1 rose

⇒ Amount of Markup of single rose = 2.96/1.08

⇒ Amount of Markup of single rose = 2.74

Thus, the amount of markup on a single rose is $2.74.

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Write a rational function with the following characteristics.
b. Vertical asymptotes at x=0 and x=3 , horizontal asymptote at y=0 , a zero at -4

Answers

For Vertical asymptotes at x=0 and x=3 , horizontal asymptote at y=0 , a zero at -4, the rational function will be - (x+4) / (x)(x-3)

What are asymptotes?

Asymptote, a line or curve that serves as the boundary of another line or curve in mathematics. An example of an asymptotic curve is a descending curve that approaches but does not reach the horizontal axis, which is the asymptote of the curve.

Given,

Vertical asymptotes at x=0 and x=3 , it means that these both factors are included in the denominator.

horizontal asymptote at y=0, it means means highest degrees in both numerator and denominator is 0.

zero at -4, it means we have this as factor in numerator.

The required rational function will be -

(x+4) / (x)(x-3)

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Help. Its an emergenc

Answers

Answer:

Angle A is 20°

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°.  

90 + 10x + x +13 = 180  Combine like terms

103 + 11x + 180  Subtract 103 from both sides

11x = 77  Divide both sides by 11

x = 7

Angle A is 13 + x.  X is 7, so 13 + 7 = 20

If you add 17 to an even number, the answer will be even.
OA. True
OB. False

Answers

Answer:

the answer is false because it will always be a odd number

Answer:

Step-by-step explanation:

well, first you have to add the number to an even number 4+17=21

21 is not an even number 12+17=29 which is also an odd number

answer B is false.

The y-coordinate of the y-intercept is the _____ term

Answers

Answer:

constant

Step-by-step explanation:

Constant

In a slope intercept form, a linear equation is written as y=ax+b. The y intercept occurs when x = 0, so the y intercept occurs when y=b, where b is the constant term.
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