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jeyben [28]
3 years ago
12

Combine like terms to create. equivlant expressions -3x-6+(-1)​

Mathematics
1 answer:
qaws [65]3 years ago
4 0

Answer:

-3x-7

Step-by-step explanation:

-3x and -6 aren't like terms, and neither are -3x and -1, so you leave -3x alone. You can combine -6 and -1. You simply add them as if they aren't negative and keep the negative sign. This results in -3x-7

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Which is equivalent to 42x +49.
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Answer:

D. 7 (6x+7)

Step-by-step explanation:

Factor  7  out of  42x  +  49

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Let X denote the temperature (degree C) and let Y denote thetime in minutes that it takes for the diesel engine on anautomobile
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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
A tour group charges a flat price for a tour of up to 20 people. The cost per person varies inversely with the number of people.
natita [175]
5 people -  pay 135 each
15 people - pay  x each
----------------------------------
5 : 15 = x : 135
15 x = 5 * 135
15 x = 675
x = 675 : 15
x = 45
Answer:
B ) 45.00
6 0
4 years ago
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