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icang [17]
3 years ago
6

Factorise 2-y(7-5y) please

Mathematics
1 answer:
hjlf3 years ago
5 0
Answer:
(y - 1)(5y - 2)

Solution:

Factor:
2 - y(7 - 5y)

Apply the Distributive Property:
2 - 7y + 5y²

Reorder the expression:
5y² - 7y + 2

Rewrite the term:
5y² - 5y - 2y + 2

Regroup terms into two proportional parts:
(5y² - 5y) + ( -2y + 2)

Factor Greatest Common Factors out:
5y(y - 1) - 2(y - 1)
(y - 1)(5y - 2)
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According tp the fundamental theorem of algebra, how many zeros does the polynomial below have? f(x)=x^3-10x^2+27x-12
prisoha [69]
The answer is 3.

The fundamental theorem of algebra says that a number of zeros of a polynomial are equal to the highest exponent on a variable. 

The polynomial is <span>f(x)=x</span>³<span>-10x</span>²<span>+27x-12
The highest exponent of a variable x is 3: x</span>³
Therefore, the number of zeroes of the polynomial is 3.
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3 years ago
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Convert 8 millimiter to fluid ounces.
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A spinner is divided into 8 equal sections number 1 to 8. if the arrow is spun once, what is the probability it will land on a n
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3 years ago
Find the number of distinguishable permutations of the letters m, i, s, s, i, s, s, i, p, p, i.
Tatiana [17]

Solution:

we have been asked to find the number of distinguishable permutations of the letters m, i, s, s, i, s, s, i, p, p, i.

Here we can see

m appears 1 time.

i appears 4 times.

S appears 4 times.

p appears 2 times.

Total number of letters are 11.

we will divide the permutation of total number of letters by the permutation of the number of each kind of letters.

The number of distinguishable permutations=\frac{11!}{1!2!4!4!} \\

Hence the number of distinguishable permutations=\frac{11!}{1!2!4!4!}=34650 \\

4 0
3 years ago
A population of penguins is given by Pt=P0⋅3t5 where t is the time in years, t≥0. How long does it take for the population to tr
PolarNik [594]

Answer:

5 years

Step-by-step explanation:

If the population of penguins is given by the function:

P(t)=P_0\cdot 3^{t/5}

Initial Size =P_0

Triple its Initial Size, P(t)=3P_0

Therefore:

3P_0=P_0\cdot 3^{t/5}\\$Divide both sides by P_0\\3=3^{t/5}\\$Since they have the same base\\1=t/5\\Cross multiply\\t=5

It therefore takes 5 years for the penguin population to triple in size.

5 0
3 years ago
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