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makvit [3.9K]
3 years ago
15

Factor the following polynomial completely. 48x2 + 48xy2 + 12y4 =

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

{12xy}^{2} (4x + 4 + 12 y^{2} ) \\ all \: number \: devide \: 12
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four apples and one banana cost £1.40 seven apples and one banana cost £2.00 work out the cost of an apple and the cost of a ban
beks73 [17]

Answer:

  • apple: £0.20
  • banana: £0.60

Step-by-step explanation:

Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...

  4a +b = 1.40

  7a +b = 2.00

Subtracting the first equation from the second gives ...

  (7a +b) -(4a +b) = (2.00) -(1.40)

  3a = 0.60 . . . . simplify

  a = 0.20 . . . . . .divide by 3

Using this in the first equation, we have ...

  4(0.20) +b = 1.40

  b = 0.60 . . . . . subtract 0.80

The cost of an apple is £0.20; the cost of a banana is £0.60.

8 0
3 years ago
A growing farming conglomerate increases its water usage at a rate of 5% every year. If it used 48,000 megaliters of water this
romanna [79]

Answer:

Future requirement of water = 115,517 mega-liters

Step-by-step explanation:

Given:

Current requirement of water (C) = 48,000 mega-liters

Increasing rate per year (g) = 5% = 0.05

Number of year (n) = 18 years

Find:

Future requirement of water = ?

Computation:

Future\ requirement\ of\ water = C(1+g)^n\\\\Future\ requirement\ of\ water = 48,000(1+0.05)^{18}\\\\ Future\ requirement\ of\ water = 48,000(1.05)^{18}\\\\ Future\ requirement\ of\ water = 48,000(2.4)\\\\Future\ requirement\ of\ water = 115,517 (Approx)

Future requirement of water = 115,517 (Approx) mega-liters

7 0
3 years ago
Apply the distributive property to the expression to write an equivalent expression. Complete the statements.
Arlecino [84]

Answer:

4(x+4)

Step-by-step explanation:

Find to GCF of 4x+16.

Now factor out the GCF by dividing each term in the expression by 4.

4x divided by the GCF is x, and 16 divided by the GCF is 4.

The equivalent expression is 4(x+4).

7 0
2 years ago
Read 2 more answers
Choose the function whose graph is given by:
Mekhanik [1.2K]

Answer: y= sin x+2

Step-by-step explanation:

5 0
2 years ago
Help&amp;EXPLAIN <br><br> Don’t use for points or will be reported and I’ll take the points back
ella [17]

Answer:

x = 60°

Step-by-step explanation:

since, the triangles are complementary the sum of their measures will be 90°

now,

  • =》30° + x = 90°

  • =》x = 90° - 30°

  • =》x = 60°
4 0
2 years ago
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