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Zielflug [23.3K]
3 years ago
10

Factor f(x) = (x³-x²)(3x+3)

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

3x^2(x-1)(x+1)

Step-by-step explanation:

Can I have brainliest please?

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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

5 0
3 years ago
What is the line of symmetry of the parabola y=x2+6x-9?
Rzqust [24]
First we have to find the vertex (h,k) h is also x and it also is the a xis symmetry

1st: group the number
(X2+6x)-9

2nd: use b/2

6/2 = 3 , 3^2= 9

(X2+6x+9)-9-9

(X2 + 3)-18

Vertex is 3,-18 so the symmetry is 3
5 0
3 years ago
Please help me with this..
AleksandrR [38]

Answer:

f = 1

Step-by-step explanation:

Use the method of cross- multiplication

\frac{a}{b} = \frac{c}{d} ⇒ ad = bc, thus

20f = 5(f + 3) ← distribute

20f = 5f + 15 ( subtract 5f from both sides )

15f = 15 ( divide both sides by 15 )

f = 1

6 0
3 years ago
26:12
wlad13 [49]

Step-by-step explanation:

Function of the cylinder is to measure liquid volumes accurately. They are extensively used in chemistry and biology labs, where quantities of accurately measured liquids need to be used. They are purposely designed to be long, with a shorter diameter compared to beakers, to facilitate accurate measurements.

6 0
3 years ago
A survey was done on the number of people in eachcar leaving a Shopping
ycow [4]

Answer:

a) Mode number = 2

b) Median  = 64.5  = 4 people in car as 0.5 in 64.5 is close to 76

              = 4 people

c) Mean number is  505/6 =   84.1666666667 then we see where 84.16 lies and see this lies with =  3 people

Step-by-step explanation:

45  is 1

198 is 2

121 is 3

76 is 4

52 is 5

13 is 6

Mode we look for the highest frequency and see 198 is the amount and 2 people in car is the subject, we give the subject and that is 2 people in car is the highest frequency and would be the mode.

Median is shown in the answer as we add up.

Mean we add up all frequency and divide by the amount of subjects = 6.

a) Mode number = 2

b) Median = 13, 45, 52, here 76, 121, 198    mid number between

             = (76-52 )/ 2  + (52)= 24 /2 + (52) = 12 + 52 + 0.5 if even number    

median  = 64.5  in a cumulative graph though which is not asked here it would be exactly half of 505 = 257.5 and interquartile we half again and add on 257.5 and show the range values interquartile as 1/2(252.5) and 1/2(252.5+ 505) = 126.25 as one value and 757.5 as the other by drawing a horizontal line from y axis to the points so vertical lines can represnt the cars median and interquartile.

c. Mean number is  505/6 =   84.1666666667 then we see where 84.16 lies and see this lies with 3 seats

For cumulative frequency we can relist numbers like this

45

45 +198 = 243

243 +  121 = 364

364+76 = 440

440 + 52 = 492

492+13 = 505 to plot graph.

But if there was group of measures or time etc then we would always plot the highest of each set for cumulative x axis and use the 2 values to see the ratio for histograms ie) 198/2 = 99 so that all values are read in equal proportions and 2 is a data below the graph not on the graph as 2 does not show as a box count just a name below on x axis. So we have to use the ratio as explained for histograms.

8 0
3 years ago
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