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seropon [69]
3 years ago
7

HELP ASAPP!! Distribute: 3(-2x + 9)

Mathematics
2 answers:
Dima020 [189]3 years ago
5 0

Answer:

-6x+27

hope this helps

have a good day :)

Step-by-step explanation:

Oksana_A [137]3 years ago
4 0

Answer:

-6x+27

Step-by-step explanation:

3(-2x + 9)

-6x+27

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Given the following, find the value of x.<br> (4x+45)<br> (5x-18)
VladimirAG [237]

Step-by-step explanation:

Hey ..but there is nothing from which question can be equated ..

like if they are equal to zero..

or

(4x+45)=(5x-18)

i am giving answer for both scenarios

(4x+45)=0

4x=-45

x=-45/4

x=(-11.25)

(5x-18)=0

5x=18

x=18/5

x=3.6

Incase if they both are equal to each other...

(4x+45)=(5x-18)

(45+18)=(5x-4x)

63=x

x=63

Hope it helps you

Have a nice day

8 0
3 years ago
Read 2 more answers
After a long study, tree scientists conclude that a eucalyptus tree will grow at the rate of 0.5 6/ (t+4)3 feet per year, where
kipiarov [429]

Answer:

<h2>a) 0.5367feet</h2><h2>b) 0.5223feet</h2><h2>c) 0.7292feet</h2>

Step-by-step explanation:

Given the rate at which an eucalyptus tree will grow modelled by the equation 0.5+6/(t+4)³ feet per year, where t is the time (in years).

The amount of growth can be gotten by integrating the given rate equation as shown;

\int\limits {0.5 + \frac{6}{(t+4)^{3} }  } \, dt \\= \int\limits {0.5} \, dt + \int\limits\frac{6}{(t+4)^{3} }  } \, dx } \, \\= 0.5t +\int\limits {6u^{-3} } \, du \  where \ u = t+4 \ and\ du = dt\\= 0.5t + 6*\frac{u^{-2} }{-2} + C\\= 0.5t-3u^{-2} +C\\= 0.5t-3(t+4)^{-2} + C

a)  The number of feet that the tree will grow in the second year can be gotten by taking the limit of the integral from  t =1 to t = 2

\int\limits^2_1 {0.5 + \frac{6}{(t+4)^{3} }  } \, dt = [0.5t-3(t+4)^{-2}]^2_1\\= [0.5(2)-3(2+4)^{-2}] - [0.5(1)-3(1+4)^{-2}]\\= [1-3(6)^{-2}] - [0.5-3(5)^{-2}]\\ = [1-\frac{1}{12}] - [0.5-\frac{3}{25} ]\\= \frac{11}{12}-\frac{1}{2}+\frac{3}{25}\\   = 0.9167 - 0.5 + 0.12\\= 0.5367feet

b)  The number of feet that the tree will grow in the third year can be gotten by taking the limit of the integral from  t =2 to t = 3

\int\limits^3_2 {0.5 + \frac{6}{(t+4)^{3} }  } \, dt = [0.5t-3(t+4)^{-2}]^3_2\\= [0.5(3)-3(3+4)^{-2}] - [0.5(2)-3(2+4)^{-2}]\\= [1.5-3(7)^{-2}] - [1-3(6)^{-2}]\\ = [1.5-\frac{3}{49}] - [1-\frac{1}{12} ]\\  = 1.439 - 0.9167\\= 0.5223feet

c) The total number of feet grown during the second year can be gotten by substituting the value of limit from t = 0 to t = 2 into the equation as shown

\int\limits^2_0 {0.5 + \frac{6}{(t+4)^{3} }  } \, dt = [0.5t-3(t+4)^{-2}]^2_0\\= [0.5(2)-3(2+4)^{-2}] - [0.5(0)-3(0+4)^{-2}]\\= [1-3(6)^{-2}] - [0-3(4)^{-2}]\\ = [1-\frac{1}{12}] - [-\frac{3}{16} ]\\= \frac{11}{12}+\frac{3}{16}\\   = 0.9167 - 0.1875\\= 0.7292feet

8 0
3 years ago
SOMEONE PLEASE HELP!! i need it due right now!
yanalaym [24]
A) a=8
B) b=1/8
C) c=13/5
D) d=13/50
6 0
2 years ago
Read 2 more answers
Find the roots of the polynomial function f(x) = x3 + 2x2 + x x = 0, x = –1 x = 0, x = 1 with multiplicity 2 x = 0, x = –1 with
astraxan [27]

f(x) = -3x2(x - 3)(x + 4)3(x2 + 5)

If (x - a) if a factor of polynomial P(x), then a is a zero of P(x).

x = 0

x = 3

x = -4, three times

x = ±√5

5 0
3 years ago
Read 2 more answers
Please help !!!The three-dimensional figure below is a cylinder with a hole in the shape of a rectangular prism going through th
Karo-lina-s [1.5K]

Answer:

1,788

Step-by-step explanation:

You calculate the volume of the cylinder minus the volume of the cube

volume = (\pi*r^2*height) - (width*lenght*height)\\ volume = (\pi*10^2*6) - (4*4*6) [yards]\\volume = 1,788

7 0
3 years ago
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