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3 years ago

Rewrite it as a function and isolate y.

Mathematics

1 answer:

serious [3.7K]3 years ago

5 0

Answer:

f(x) = -5x + 16

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y + 5x = 16

Step 2: Put into slope-intercept form

Subtract 5x on both sides; y = -5x + 16

Step 3: Rewrite in function notation

f(x) = -5x + 16

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Answer part B please

oksano4ka [1.4K]

1:5

Steps:
1. Add all the numbers
2. Take Derek’s number of votes and turn step 1’s answer and Derek’s number of votes into a ration:
3. You will now have 36:180
4. Simplify by a number they both share (36).
5. Your new simplified answer would be 1:5.

4 0

2 years ago

Read 2 more answers

Kurt is taking a roadtrip and has of his total distance left to travel. He plans to travel the remaining distance in 5 hours. Wh

alexdok [17]

1/5

good luck!!!☺☺☺☺

6 0

3 years ago

Read 2 more answers

2x+4y=12 y=0.25x-3 What is the solution to the system of equations?

ololo11 [35]

{ 2 x + 4 y = 12
y = 0.25 x -3

Arrange equation variables of elimination :

{ 2 x + 4 y = 12
-0.25 x + y = - 3

Multiply ( -0.25 x +y = - 3 ) by 8 :

8y - 2 x = - 24

{ 2 x + 4y = 12
-2x + 8y = -24
----------------------
12 y = -12

y = - 12 / 12

y = - 1

For x :

2 x + 4y = 12

2 x + 4 ( - 1 ) = 12

2 x - 4 = 12

2 x = 12 + 4

2 x = 16

x = 16 / 2

x = 8

x = 8 and y = - 1 => ( 8 , - 1 )

Answer b

hope this helps!

7 0

3 years ago

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

Law Incorporation [45]

Answer:

Step-by-step explanation:

To solve this problem, we will use the following two theorems/definitions:

- Given a vector field F of the form (P(x,y,z),Q(x,y,z),W(x,y,z)) then the divergence of F denoted by $\nabla \cdot F = \frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}}+\frac{\partial W}{\partial z}$

- (Gauss' theorem)Given a closed surface S, the following applies

$\int_{S} F\cdot \vec{n} dS = \int_{V} \nabla \cdot F dV$

where n is the normal vector pointing outward of the surface and V is the volume bounded by the surface S.

Let us, in our case, calculate the divergence of the given field. We have that

$\nabla \cdot F = \frac{\partial}{\partial x}(x)+\frac{\partial}{\partial y}(2y)+ \frac{\partial}{\partial z}(5z) = 1+2+5 = 8$

Hence, by the Gauss theorem we have that

$\int_{S} F\cdot \vec{n} dS = \int_{V} 8 dV = 8\cdot\text{Volume of V}$

So, we must calculate the volume V bounded by the cube S.

We know that the vertices are located on the given points. We must determine the lenght of the side of the cube. To do so, we will take two vertices that are on the some side and whose coordinates differ in only one coordinate. Then, we will calculate the distance between the vertices and that is the lenght of the side.

Take the vertices (1,1,1) and (1,1-1). The distance between them is given by

$\sqrt[]{(1-1)^2+(1-1)^2+(1-(-1)^2} = \sqrt[]{4} = 2$ .