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GenaCL600 [577]
3 years ago
13

Rewrite the expression (x2 – 3x – 18)/(x – 9) using the long division method.

Mathematics
1 answer:
nadezda [96]3 years ago
7 0

Answer:

<em>x + 3</em>

Step-by-step explanation:

<em>Image below</em>

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A soccer team traveled to a game in 4 vans. Each van held 6 players. Two of the players are goalkeepers. How many of the players
Pani-rosa [81]
Answer: 22

Work:
4 * 6 = 24
24 - 2 = 22
5 0
3 years ago
Read 2 more answers
) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle
Fynjy0 [20]

The surface (call it S) is a triangle with vertices at the points

x=0,y=0\implies z=2\implies(0,0,2)

x=0,y=2\implies z=-2\implies(0,2,-2)

x=2,y=0\implies z=-8\implies(2,0,-8)

Parameterize S by

\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)

with 0\le u\le1 and 0\le v\le1. Take the normal vector to S to be

\vec s_v\times\vec s_u=(20v,8v,4v)

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv

=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}

8 0
3 years ago
URGENT nEED HELP I DON"T UNDERSTaND
Dovator [93]

The proposal for the price for a number of shirts given by the four companies can be analyzed graphically, given that each price list gives a straight line, and the result presented using a piecewise function approach as follows:

\begin{cases} & \text{ if } 20 \leq  x\leq 40 \ The \ company \ to \ be \ selected \ is \ Easy \ Calculation\\ & \text{ if } 40 < x \leq 80\ The \ company \ to \ be \ selected \ is \ Shirtee \\ & \text{ if } 80 < x \leq 200\The \ company \ to \ be \ selected \ is \ T-Shirts\ R\ Us \end{cases}

<h3>What is a piecewise function?</h3>

A piecewise defined function is one that has other sub functions which are applied over different intervals of the domain.

The given table of values and equation are plotted on a graph using MS Excel

From the graph, and the table created, we have:

When the number of shirts on order is less than 40, the least expensive is Easy Calculation shirts

When the number of shirts are more than 40 but less than 80, the least expensive proposal is given by Shirtee

When the number of shirts to be ordered is more than 80, the company that gives the least expensive proposal is T-Shirts R Us

The selection table is presented as follows:

\begin{cases} & \text{ if } 20 \leq  x\leq 40 \ The \ company \ to \ be \ selected \ is \ Easy \ Calculation\\ & \text{ if } 40 < x \leq 80\ The \ company \ to \ be \ selected \ is \ Shirtee \\ & \text{ if } 80 < x \leq 200\The \ company \ to \ be \ selected \ is \ T-Shirts\ R\ Us \end{cases}

Learn more about piecewise defined functions here:

brainly.com/question/18499561

#SPJ1

3 0
1 year ago
A line passes through points (2,5) and (5, 14). What is the slope of this line?
topjm [15]

<u>We know that:</u>

Slope of a line = change in y coordinate / change in x coordinate

<u>We are given:</u>

First point = (2,5)

Second point = (5, 14)

<u>Calculating the change in y coordinate:</u>

change in y (also represented by Δy) = second y - first y

Δy = 14 - 5

Δy = 9

<u>Calculating the change in x coordinate:</u>

Δx = second x - first x

Δx = 5 - 2

Δx = 3

<u>Slope of the line:</u>

Slope = (Δy) / (Δx)

Slope = 9 / 3                                              [replacing the values]

Slope = 3

7 0
3 years ago
Answer the problem 19-6 + 12 = 19 - 18 =
dusya [7]

Answer:

False

Step-by-step explanation:

7 0
3 years ago
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