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ehidna [41]
2 years ago
6

Evaluate 2x2– 4xy – 3y2for x = 1 and y = - 1

Mathematics
1 answer:
nalin [4]2 years ago
6 0

Answer:

The answer is 3

Step-by-step explanation:

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What is 34-5x6? Help pls thx
azamat

Answer:

4

Step-by-step explanation:

Order of operations multiplication then subtraction so 5*6=30

34-30=4

8 0
2 years ago
The rate of change in the function y=x+4 is________ the rate of change of the function represented in the table.
Snezhnost [94]
Recall that the slope is the "average rate of change" of any function.

\bf y=\stackrel{slope}{1}x+4\qquad \qquad 
\begin{array}{ccll}
x&y\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
0&6\\2&8\\4&10\\6&12
\end{array}
\\\\\\
\textit{let's check what is the slope of the tabled function}\\
\textit{by using two points from it}

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 2}}\quad ,&{{ 8}})\quad 
%   (c,d)
&({{ 6}}\quad ,&{{ 12}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{12-8}{6-2}\implies \cfrac{4}{4}\implies 1
4 0
3 years ago
Read 2 more answers
Let X denote the temperature (degree C) and let Y denote thetime in minutes that it takes for the diesel engine on anautomobile
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

Given f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y

a)

we know that \int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1

therefore \int\limits^{40}_{-0}\int\limits^2_{0} {c(4x+2y+1)} \, dxdy=1

on integrating we get

c=(1/6640)

b)

P(X>20, Y>=1)=\int\limits^{40}_{20}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

on doing the integration we get

                        =0.37349

c)

marginal density of X is

f(x)=\int\limits^2_{0} {\frca{1}{6640}(4x+2y+1)} \, dy

on doing integration we get

f(x)=(4x+3)/3320 ; 0<x<40

marginal density of Y is

f(y)=\int\limits^{40}_{0} {\frca{1}{6640}(4x+2y+1)} \, dx

on doing integration we get

f(y)=\frac{(y+40.5)}{83}

d)

P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

solve the above integration we get the answer

e)

P(X>20, 0

solve the above integration we get the answer

f)

Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

therefore X and Y are not independent

4 0
3 years ago
Can someone help me real quick
LuckyWell [14K]

Answer:

12 movies

Step-by-step explanation:

If you do not rent any vidoes you will be charged $45 no matter what, so...

Movies + 45 = total charge

each movie is 1.99 and you owe (total charge) $68.88

equation:

1.99x + 45 = 68.88

          -45       -45    (subtract 45 from each side to keep equation balanced)

1.99x = 23.88  (now divide both sides by 1.99 to get x alone)

     x = 12

you rented 12 movies

3 0
3 years ago
What is the surface area of the pyramid whose net is shown here?
Lunna [17]
Urface area  = area of the square + area of the 4 triangles

= 6*6 + 4(1/2*6*6)  

= 36 + 4 * 18  = 108 sq cms
4 0
3 years ago
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