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Elena-2011 [213]
3 years ago
11

Factor 1.21a^6+22a^3+100

Mathematics
1 answer:
Monica [59]3 years ago
4 0

Answer:

\frac{1}{100} (11 {a}^{3} + 100)(11 {a}^{3} + 100)

Step-by-step explanation:

1.21 {a}^{6}  +  22 {a}^{3}  + 100 \\  = 1.21 {a}^{6}  +  11 {a}^{3}  +  11 {a}^{3}+ 100 \\  = 11 {a}^{3} (0.11 {a}^{3}  + 1) + 100(0.11 {a}^{3}  + 1) \\  = (0.11 {a}^{3}  + 1) (11 {a}^{3} + 100) \\  = ( \frac{11}{100}  {a}^{3}  + 1) (11 {a}^{3} + 100) \\ =   ( \frac{11{a}^{3}  + 100}{100}  ) (11 {a}^{3} + 100) \\  =  \frac{1}{100} (11 {a}^{3} + 100)(11 {a}^{3} + 100) \\ are \: the \: required \: factors.

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Please can you answer question b
alexira [117]

   198 + (199*3) + (200*2) +(201*5) + (202*2) = 2604

frequency = 1 + 3 +2 + 5 + 2 = 13

201 = (2604 + x )/14
multiply both sides by 14
x = 201*14 = 2604 +x

x = 2814 = 2604 +x

subtract 2604 from both sides:

x = 2814 - 2604
x = 210 cm

height of new player = 210 cm
3 0
3 years ago
Which equation represents a proportional relastionship that has a constant of proportionality equal to 4/5
enyata [817]

Answer:

y= 4/5x

Step-by-step explanation:

A proportional relationship has an equation of the form y = mx. It passes through the origin.

y= 4/5x is the only equation which is in this form.

6 0
3 years ago
Sally has three times as many dimes as nickels and twice as many quarters as dimes. In all she has $5.55.How many of each type o
OLEGan [10]
Sally has 3 nickels, 9 dimes, and 18 quarters
3 0
3 years ago
Read 2 more answers
How does a business determine the markup on a product or service?
uysha [10]

Answer:

By calculating the profit that will keep the business going

7 0
3 years ago
Plz help, I don't understand this.
Oksanka [162]

Answer:

see explanation

Step-by-step explanation:

consecutive even integers have a difference of 2 between them

for example 2, 4, 6 are 3 consecutive even integers

In general if we let the first integer be k then the next 2 integers are

k + 2 and k + 4

the sum of these equals 4 times the first integer, that is 4k, hence

k + k + 2 + k + 4 = 4k

3k + 6 = 4k ( subtract 3k from both sides )

6 = k

the 3 consecutive integers are

k = 6

k + 2 = 6 + 2 = 8

k + 4 = 6 + 4 = 10

that is 6, 8 and 10

note that sum = 6 + 8 + 10 = 24

and 4 × 6 = 24

confirming the sum of the 3 integers equals 4 times the first integer




7 0
3 years ago
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