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astraxan [27]
3 years ago
15

Does anyone know what to do

Mathematics
1 answer:
klasskru [66]3 years ago
4 0

ok, we need to factor the expression

{y}^{5}  - 2 {y}^{4}  - cxy + 6x =  {y}^{4} (y - 2) - x(cy - 6)

since the expression divisible by y-2, then

cy - 6 = k(y - 2)

since 6=2k, then k=c=3

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Reduce the fraction to lowest terms. y+5/2y+10<br><br>A:1/4<br>B:1/2<br>C:2/5
Oduvanchick [21]
The given fraction is:

\frac{y+5}{2y+10}

We cannot take anything common from the numerator but from the denominator we can take out 2 as common because 2 is a factor of both the terms i.e. 2y and 10. 

2y + 10 can be written as 2y +2(5) which can further be written as 2(y+5)

So, our fraction now becomes:

\frac{y+5}{2(y+5)}

y+5 occurs in both the numerator and denominator and thus be cancelled out leaving behind:

\frac{1}{2}

Therefore, the given fraction in lowest term is equal to 1/2. So option B is the correct answer 
8 0
3 years ago
Travis has a savings account that his parents opened for him. It pays 6% annual interest. His uncle also opened an account for h
mezya [45]
So let's say the amounts are "a" and "b", at 6% and 8% respectively.

how much is 6% of a?  well (6/100) * a, or 0.06a.
how much is 8% of b?  well (8/100) * b, or 0.08b.

so hmm whatever "a" and "b" amounts are, we know that their yield is $100, thus 0.06a + 0.08b = 100.

now, there's more money in "a" than in "b", 500 bucks more, so whatever "b" is, we know that a = b + 500.

\bf \begin{cases}&#10;0.06a+0.08b=100\\&#10;\boxed{a}=b+500\\&#10;----------\\&#10;0.06\left( \boxed{b+500} \right)+0.08b=100&#10;\end{cases}&#10;\\\\\\&#10;0.06b+0.08b+30=100\implies 0.02b=70\implies b=\cfrac{70}{0.02}&#10;\\\\\\&#10;b=3500

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8 0
3 years ago
Please help me<br><br> question attached below:)))
atroni [7]

Answer:

  • D(5, 4), E(14, 7), M(9.5, 5.5)

Step-by-step explanation:

As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB

<u>Find the coordinates of D:</u>

  • x = 1 + 1/4(17 - 1) = 1 + 4 = 5
  • y = 5 + 1/4(1 - 5) = 5 - 1 = 4

<u>Find the coordinates of E:</u>

  • x = 13 + 1/4(17 - 13) = 13 + 1 = 14
  • y = 9 + 1/4(1 - 9) = 9 - 2 = 7

<u>Find the coordinates of the midpoint M of DE:</u>

  • x = (5 + 14)/2 = 19/2 = 9.5
  • y = (4 + 7)/2 = 11/2 = 5.5
8 0
2 years ago
Dan has put his coins into 2 stacks, Each stack has the same number of coins. There are 12 coins total, How many coins are in ea
Usimov [2.4K]

Answer: 6

Step-by-step explanation: Division use a calculator 12/2

3 0
3 years ago
Read 2 more answers
Classify the number as natural, whole, integer, rational, and/or irrational.
adelina 88 [10]
This number is natural, whole, integer, and rational.

Whole numbers are numbers such as 0, 1, 2, ... This is a whole number.

Natural numbers can also be counting numbers.  They are the whole numbers, but starting at 1, not 0.  This is a natural number.

Integers are whole numbers with negatives.  This is an integer.

Rational numbers are any numbers that can be written as a fraction.  We can write this as 4563/1, so it is rational.
6 0
3 years ago
Read 2 more answers
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