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3 years ago

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 A:1/4 B:1/2 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.

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

how much was deposited in the 6% one? well, a = b + 500.

8 0

3 years ago

Please help me 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

Find the coordinates of D:

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

Find the coordinates of E:

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

Find the coordinates of the midpoint M of DE:

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

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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.

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3 years ago

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