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3 years ago

Find the GCF 4x^5y^3+8x^4y^4+4x^3y^2

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

6 0

$4x^5y^3+8x^4y^4+4x^3y^2$

GCF is the greatest common factor

We take GCF of numbers first and then we take GCF for variables

GCF of 4, 8, 4 is 4 because all the numbers are divisible by 4

For variable, lowest exponent is our GCF

GCF of $x^5+x^4+x^3$ is x^3

GCF of $y^3+y^4+y^2$ is y^2

So GCF is 4x^3y^2

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3 years ago

Identify the center and radius for the following equation: (x+4)^2+(y-7)^2=4

ArbitrLikvidat [17]

This is the equation for a circle which without numbers looks like (x – h)^2 + (y – k)^2 = r^2

This means that the radius is the square root of what ever number the equation is equal to. Since in this case it is 4 the square root of 4 is 2

The center of the circle is baced off h and k. In order to find where each one of them go, you would do the opposit of the number that is with them. With this equation the opposit of 4 is -4 so it will go -4 in the x direction and the opposit of -7 is 7 so it would go 7 in the y direction

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3 years ago

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3 years ago

An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the i

8_murik_8 [283]

The amount invested in the mutual fund that earned 5% is $ 1000

The amount invested in the mutual fund that earned 3% is $ 1800

<h3><u>Solution:</u></h3>

Given that , An investor invested a total of $2,800 in two mutual funds

Let the amount invested in 1st mutual fund be $n

Then the amount invested in the other mutual fund will be $(2800 - n)

One fund earned 5% profit while the other earned 3% profit

Then, profit earned by 1st fund ⇒ 5% of n

And profit earned by 2nd fund ⇒ 3% of 2800 – n

Investor's total profit was $104

Now, we know that,

<em>total profit = profit earned on 1st fund + profit earned on 2nd fund </em>

104 = 5% of n + 3% of ((2800 - n)

$\frac{5}{100} n+\frac{3}{100}(2800-n)=104$

$\begin{array}{l}{\frac{5 n+3(2800-n)}{100}=104} \\\\ {5 n+3 \times 2800-3 n=10400} \\\\ {5 n-3 n=10400-8400} \\\\ {2 n=2000} \\\\ {n=1000}\end{array}$

So, he invested $ 1000 in 1st fund at 5 % profit

And 2800 – n = 2800 - 1000 = $ 1800 in 2nd fund at 3 % profit

4 0

3 years ago