how do i find the slope of y=-2/3x+3

Answer:

An equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where

Given the line

y = -13x+4

comparing with the slope-intercept form of the line equation

The slope of the line = m = -13

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -13

Thus, the slope of the the new perpendicular line = – 1/m = -1/-13 = 1/13

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

substituting the values of the slope m = 1/13 and the point (4, 3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3=\frac{1}{13}\left(x-4\right)[/tex]

Add 3 to both sides

[tex]y-3+3=\frac{1}{13}\left(x-4\right)+3[/tex]

[tex]y=\frac{1}{13}x-\frac{4}{13}+3[/tex]

[tex]y=\frac{1}{13}x+\frac{35}{13}[/tex]

Therefore, an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:

Answer:

4%

Step-by-step explanation:

4% percent of 625 is 25 and the price used to 635 and now  its 650 which means there was a $25 increase which means 4% is correct

BRAINLIEST PLZ!!!

Answer:

x = 9

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

50° is an exterior angle of the triangle, thus

38 + 4x - 24 = 50 , that is

14 + 4x = 50 ( subtract 14 from both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Answer:

[tex]\huge\boxed{\sf x = 9}[/tex]

Step-by-step explanation:

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

50 = 38 + 4x - 24

50 = 4x + 14

Subtract 14 to both sides

50 - 14 = 4x

36 = 4x

Divide 4 to both sides

36 / 4 = x

x = 9

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

$1785

Step-by-step explanation:

you have to multiply the monthly rent by 2 since she has to pay the first and last months rent and then add the $355 security deposit

Answer:

$1985

Step-by-step explanation:

715 x 2 = 1430

1430 +355 = $1985

Answer: B ) -x^2 + x-4

Step-by-step explanation:

Answer:

hello your answer will be 9/2

Answer:

His test IS a solution.

Step-by-step explanation:

Both LHS and RHS are equal so it is a solution.

I think that (His test point is a solution) is the answer

Answer:

4. 1/2

5. 9/1

Step-by-step explanation:

4. 2/4 simplifies to 1/2

5. 18/2 simplifies to 9/1

Step-by-step explanation:

c

Answer:

c.3x+5

A.x+3

D.x-3

Step-by-step explanation:

Answer:

C5, [5]+, (55)

i think this is it but i might be wrong

Step-by-step explanation:

Answer:

             [tex]\bold{m=-\dfrac92=-4.5}[/tex]

Step-by-step explanation:

[tex]\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

(2, -9)    ⇒   x₁ = 2,  y₁ = -9

(-2, 9)    ⇒   x₂ = -2,  y₂ = 9

So the slope:

                    [tex]\bold{m=\dfrac{9-(-9)}{-2-2}=\dfrac{18}{-4}=-\dfrac92}[/tex]

9514 1404 393

Answer:

  C.  f^-1(x) = (∛(x+1))/4

Step-by-step explanation:

The inverse function can be found by solving x = f(y) for y.

  [tex]f(y)=x\\\\64y^3-1=x\\\\64y^3=x+1 \qquad\text{add1}\\\\4y=\sqrt[3]{x+1} \qquad\text{cube root}\\\\y=\dfrac{\sqrt[3]{x+1}}{4} \qquad\text{divide by 4}\\\\\boxed{f^{-1}(x)=\dfrac{\sqrt[3]{x+1}}{4}}[/tex]

Answer:

x^2 - y^2) - (x^2 -3x +2)

Step-by-step explanation:

Answer:

-y to the second power + 3x-2

Step-by-step explanation:

Please mark brainlliest if you want.

Answer:

1.) -4 and 12

y-intercept: -4

x-intercept: 12

2.) -11 and 11

y-intercept: -11

x-intercept: 11

Step-by-step explanation:

x - 3y = 12

0 - 3y = 12

-3y/-3 = 12/-3

y = -4 (y-intercept)

x - 3y = 12

x -3(0) = 12

x = 12 (x-intercept)

2x - 2y = 22

2(0) - 2y = 22

-2y = 22

-2y/-2 = 22/-2

y = -11 (y-intercept)

2x - 2y = 22

2x - 2(0) = 22

2x = 22

2x/2 = 22/2

x = 11 (x-intercept)

Step-by-step explanation:

Hey there!

Given;

The sum of two numbers is 45.

One of them is 27.

Let next number is "x".

So, Add "x" and "27" and show it is equal to 45.

Or, x+27 = 45

Therefore, x+27 = 45 is the required equation.

Now, solving unknown number.

~ Take "27" to right side and subtract it.

x= 45 - 27

X= 18

Therefore, next number is (x) = 18.

Hope it helps...

ANSWER = 18

Step-by-step explanation:

the sum of two no. =45

one no.=27

therefore,

two no.=

45-27=18

Answer:

Subtracting a number is the same as adding the opposite of the number

Step-by-step explanation:

Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive. Basically, - (-4) becomes +4, and then you add the numbers. For example, say we have the problem -2 - –4.

Answer: A) The initial number of bacteria is 350.

Step-by-step explanation:

Exponential growth equation: [tex]f(x)=A(1+r)^x[/tex] , where A=Initial value, r= growth rate.          (i)

Given: A bacteria sample can be modeled by the function [tex]f(x) = 350(1.20)[/tex]which gives the number of bacteria in the sample at the end of x days.

Here, [tex]f(x)=350(1+0.20)[/tex]

Compare this equation to  (i) , we get A = 350 and r= 0.20 = 20% (growth rate)

So, the  best interpretation of one of the values in this function are:

A) The initial number of bacteria is 350.

Answer:

A

Step-by-step explanation:

I did the prep

Answer:

A

Step-by-step explanation:

Answer:

57.5 MPH

Step-by-step explanation:

You have to divide to find unit rate.

You will get 57.5 once you divide.

Answer:

A. 1,112

Step-by-step explanation:

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by finding the profit per chair:

So,

Profit per chair = Selling price - Production cost

= $55.75 - $16.91

= $38.84

Next, we need to determine how many chairs the manufacturer needs to sell to make a profit of $24,850:

Profit = Profit per chair x Number of chairs sold - Overhead costs

$24,850 = $38.84x - $18,340

$43,190 = $38.84x

x = 1,112.49

Rounding to the nearest whole number, the manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Therefore,

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer: 3+4 =7 this is the right answer :)

Step-by-step explanation:

Answer:

this was so difficult but the answer is 7

Step-by-step explanation:

your welcome

....................

Answer:

Adults =1500 and student= 2500

Step-by-step explanation:

Step one:

GIven data

let Adults be x and student be y in numbers

so

5x+3y=15000------------1

x+y=4000---------------------2

from 1

x=4000-y, put this in 2, we have

5(4000-y)+3y=15000

20000-5y+3y=15000

-2y=15000-20000

-2y= -5000

2y=5000

divide both sides by 2

y= 2500

put y= 2500 in 2

x+2500= 4000

x= 4000-2500

x=1500

Answer:

x=65

Step-by-step explanation:

90 degree angle

90-25= 65

It is a straight line with angle measures of 90°, x° and 25° opposite to the angle marked 180°.

Hence, their sum is 180°.

➛[tex]90 \degree + x + 25 \degree = 180 \degree[/tex]

➛[tex]115 \degree + x = 180 \degree[/tex]

Then,

➛[tex] x = 180 \degree - 115 \degree[/tex]

➛[tex]x = 65 \degree[/tex]

The measure of the angle will be 65° (Ans)

~[tex] \large{ \blue{ \sf{FadedElla}}}[/tex]

Answer:

[tex]\huge\boxed{y=\frac{1}{4}x + \frac{13}{4}}[/tex]

Step-by-step explanation:

In order to find the equation to this line, we need to note that we see two points on this graph. Using these two points, we can use them to find the slope of the graph and use one to find the y-intercept.

We know that the slope of a line is defined by [tex]\frac{\Delta y}{\Delta x}[/tex] (change in y / change in x). Therefore, we can use our two points that we know - (-5, 2) and (3, 4) to find the slope.

The change in y is [tex]4 - 2 = 2[/tex], and the change in x is [tex]3 - (-5) = 3+5= 8[/tex]. Therefore, our slope is [tex]\frac{2}{8} = \frac{1}{4}[/tex].

Now that we know our slope, our equation in slope-intercept form looks something like this.

[tex]y = \frac{1}{4}x + b[/tex]

However, we still have b to solve for. We can solve for this by substituting a point we already know into the equation. Let's substitute (3, 4) inside.

So now we know that the y-intercept is [tex]\frac{13}{4}[/tex]. Plugging that into our equation finishes it off, leaving our final equation to be [tex]y = \frac{1}{4}x + \frac{13}{4}[/tex].

Hope this helped!

Answer:

y= 1/4 + 13/4

Step-by-step explanation:

mark brainless please..

;-;

(did this question before)

lol

the slope is 0.1 or one tenth as a fraction.

slope equation:

change in Y divided by change in X

**underlined numbers are x values and bold numbers are y values**

(3,-5) and (-7, -6)

our two Y values looking at the coordinates are -5 and -6, since coordinates are (x,y)

our two X values are 3 and -7

now plug these into the equation:

-5 - (-6)

------------

3 - (-7)

**PAY ATTENTION TO THE SIGNS**

now the numerator is -5+6 which is 1

and the denominator is 3+7 which is 10

that makes 1/10 as a fraction -your slope

simplify it and you have:

slope = 0.1 or 1/10

i hope this helps!!

Answer:

Equation is = 5+1.75m

Step-by-step explanation:

Given that,

A taxi service charge is $5.00 for each fare.

In addition, the service charges a $1.75 per minute fee.

It means, for every minute, $1.75 increases with time and $5.00 is fixed.

ATQ,

Total cost = 5+1.75m

Where m is time in minutes

Hence, the required equation is "5+1.75m".

Answer:

See below

Step-by-step explanation:

Taking the readings from the graph

Rate of change for the given line is:

Equation for the line is:

For the point (40, 76) we can verify with the equation:

The point (40, 76) is close the line but the line doesn't pass through it.

Answer:

x | y

0 | 2

2 | 6

4 | 10

6 | 14

Equation of the line is

[tex] \frac{y - 2}{x - 0} = \frac{6 - 2}{2 - 0} \\ \frac{y - 2}{x} = \frac{4}{2} = 2 \\ y - 2 = 2x \\ y - 2x = 2\\ \boxed{y=2x+2}[/tex]

When x=40, y will be (2×40)+2 =82

So the point should pass through (40,82) and not (40,76).