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Alik [6]
3 years ago
15

How to find the slope of a graph

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0

Answer:

There are 2 different ways, depending on the amount of data given;

<em>1st way:</em> When only the line on the graph is given (Without any coordinate points given) then the slope could be found out with the formula of <u>Rise/Run, or Change in y / Change in x</u>

<em>2nd way: </em>When a line and 2 coordinate points are given, the the formula that would be used is:<u> </u>\frac{Y_2 - Y_1}{X_2 - X_1}<u>, where X₁ and Y₁ are the coordinate points of the 1st given point, and X₂ and Y₂ are the coordinate points of the 2nd given point.</u>

Hope this helps!

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Consider the multivariable function f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}f ( x , y , z ) = x 3 −
Lelu [443]

Answer:

f\left(2,3,1\right)=\bold{14}

Step-by-step explanation:

Given the function:

f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}

To find:

The value of f(2, 3, 1) = ?

Solution:

f(2, 3, 1) means the values of x, y\ and\ z as:

x=2\\y=3\\z=1

Let us put the given values in the given function and let us solve for it:

\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}

Therefore, the answer is:

f\left(2,3,1\right)=\bold{14}

8 0
3 years ago
Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values
Vesnalui [34]

The Lagrangian is

L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)

with critical points where the partial derivatives vanish.

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}

L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda

L_\lambda=x^2+y^2-9=0

Substitute x,y into the last equation and solve for \lambda:

\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6

Then we get two critical points,

(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)

We get an absolute maximum of 3\sqrt{17}\approx12.369 at the second point, and an absolute minimum of -3\sqrt{17}\approx-12.369 at the first point.

4 0
3 years ago
Trevor has $9100 in an investment account. He withdrew all of his money from the account. He spent $1100 on a plane ticket to Pa
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Answer:

$6,400

Step-by-step explanation:

9100-1100

8000

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3 0
3 years ago
What is the sum of the measures of the interior angles of a 15-sided polygon?
AlladinOne [14]

Answer:

B. 2340

Step-by-step explanation:

Interior angles of a polygon is given by

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3 0
4 years ago
A regular polygon has sides all the same length, and angles all the same measure. Find the pelmeter of the regular polygon below
Ede4ka [16]

The perimeter of the regular polygon is 70 inches

<h3>How to determine the perimeter of the regular polygon?</h3>

The sides of the regular polygon is given as:

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So, the perimeter of the polygon is calculated as:

P = Side lengths * Number of sides

This gives

P = 10 inches * 7

Evaluate

P = 70 inches

Hence, the perimeter of the regular polygon is 70 inches

Read more about perimeter at

brainly.com/question/24571594

#SPJ1

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