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Solve the following problems applying Polya’s Four-Step Problem-Solving strategy.
If six people greet each other at a meeting by shaking hands with one another, how many handshakes take place?

geduiwelh 2020-11-01

class council determined that its profit from the upcoming homecoming dance is directly related to the ticket price for the dance. Looking at past dances, the council determined that the profit pp can be modeled by the function $p (t) = - 12 t^{2} + 480 t + 30$ , where tt represents the price of each ticket. What should be the price of a ticket to the homecoming dance to maximize the council's profit? Price

Jerold 2020-11-01

Use sigma notation to express the following 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8

Cheyanne Leigh 2020-11-01

Given f(x)=6x+5, describe how the graph of g compares with the graph of f. g(x)=6(0.2x)+5
Select the correct choice below, and fill in the answer box to complete your choice.
A. The graph of g(x) is translated _ unit(s) to the left compared to the graph of f(x).
B. The graph of g(x) is translated _ unit(s) down compared to graph of f(x).
C. g(x) has a scale factor of _ compared to f(x). Because it scales the vertical direction, the graph is stretched vertically.
D. g(x) has a scale factor of _ compared to f(x). Because it scales the vertical direction, the graph is compressed vertically.
E. g(x) has a scale factor of _ compared to f(x). Because it scales the horizontal direction, the graph is stretched horizontally.
F. g(x) has a scale factor of _ compared to f(x). Because it scales the horizontal direction, the graph is compressed horizontally.
G. The graph of g(x) is translated _ unit(s) to the right compared to the graph of f(x).
H. The graph of g(x) is translated _ unit(s) up compared to graph of f(x).

iohanetc 2020-11-01

Describe the transformations of
$f (x) = \sqrt{3} {x}$ and $h (x) = x^{3}$
that result in the functions listed below.
$g (x) = - \sqrt{3} {x - 3}$ and $j (x) = - {(x - 3)}^{3}$
$p (x) = 4 \sqrt{3} {- x} - 1$ and $q (x) = 0.25 {(- 4 x)}^{3} - 1$

e1s2kat26 2020-11-01

Let $γ = {t^{2} - t + 1, t + 1, t^{2} + 1} and β = {t^{2} + t + 4, 4 t^{2} - 3 t + 2, 2 t^{2} + 3} b e or d e r e d b a s e s f or P_{2} (R) .$ Find the change of coordinate matrix Q that changes $β coordinates into γ - coordinates$

Armorikam 2020-11-01

Give full and correct answer for this questions 1) The standard erroe of the population mean can be estimated by 2)For an experiment comparing two treatment conditions, an independent-measures design would obtain ? score(s) for each subject and a repeated-measures design would obtains ? score(s) for each subject. 3) Which of the following describes an independent-measures research study?

nagasenaz 2020-11-01

To calculate: The intercepts on the coordinate axes of the straight line with the given equation $2 y - 4 = 3 x$

CoormaBak9 2020-11-01

Give a full correct answer for given question 1- Let W be the set of all polynomials $a + b t + c t^{2} \in P_{2}$ such that $a + b + c = 0$ Show that W is a subspace of $P_{2},$ find a basis for W, and then find dim(W) 2 - Find two different bases of $R^{2}$ so that the coordinates of $b = [\begin{matrix} 5 \\ 3 \end{matrix}]$ are both (2,1) in the coordinate system defined by these two bases

sanuluy 2020-11-01

Find the critical points of the following functions on the given intervals. Identify the absolute maximum and absolute minimum values (if they exist). $f (x) = x^{3} - 6 x^{2} on [- 1, 5]$

smileycellist2 2020-11-01

Solve the following IVP using Laplace Transform
$y^{'} - 2 y = 1 - t, y (0) = 4$

Jason Farmer 2020-11-01

The equivalent polar coordinates for the given rectangular coordinates.
A rectangular coordinate is given as (0, -3).

Dolly Robinson 2020-11-01

Find the following integral.
$\int \frac{x^{2} - 1}{x^{2}} d x$

Tahmid Knox 2020-11-01

Find the x-and y-intercepts of the graph of the equation algebraically.
$y = - 3 (2 x + 1)$

illusiia 2020-11-01

Find the x-and y-intercepts of the graph of the equation algebraically.
$y = \frac{3}{4} x - \frac{1}{4}$

Reggie 2020-11-01

The random variable X follows a normal distribution $? (20, 102)$ .
Find $F \in d P (? > 30)$ ,

Wotzdorfg 2020-11-01

Round each z-score to the nearest hundredth.
A data set has a mean of
$x = 6.8$
and a standard deviation of 2.5. Find the z-score.
$x = 9.0$

Kye 2020-11-01

use Green’s Theorem to find the counterclockwise circulation and outward flux for the field F and the curve C. $F = (y^{2} - x^{2}) i + (x^{2} + y^{2}) j$
C: The triangle bounded by y = 0, x = 3, and y = x

texelaare 2020-11-01

The given matrix is the augmented matrix for a system of linear equations. Give the vector form for the general solution.
$[\begin{matrix} 1 & - 1 & 0 & - 2 & 0 & 0 \\ 0 & 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 \end{matrix}]$

UkusakazaL 2020-11-01

Solve $f (t) = e^{t} \cos t$

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