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Sever21 [200]
3 years ago
12

Item 3

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0
The solution is x=-4, y=-2

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Factor completely:<br>64 - y^3
madam [21]
From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is 4^{3}, and y^{3}.

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are a^{3} and b^{3}. The difference of those two cubes is:
a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})

In our problem, a = 4 (since a^{3} = 64) and b = y (since b^{3} = y^{3}. Plug these values into the rule to find the factor of 64 - y^3:
64 - y^3 \\&#10;= (4 - y)( 4^{2} + 4y + y^{2}) \\&#10;=  (4 - y)( 16 + 4y + y^{2})

-----

Answer: (4 - y)( 16 + 4y + y^{2})

8 0
2 years ago
Owen had 3 different kinds of stickers that he wanted to put on paper he put a bird sticker on every 30th paper a sports sticker
sveta [45]
Do 60+50+30 to get the answer
3 0
2 years ago
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Complete the equivalent equation for –7x – 60 = x2 + 10x.
cupoosta [38]

Answer:

x = -5

x = -12

Step-by-step explanation:

- 7x - 60 = x^2 + 10x

add 7x to both sides

x^2 + 17x = -60

add 60 to both sides

x^2 + 17x + 60 = 0

factorise quadratic

(x + 12) (x + 5) = 0

<em>x = -12</em>

<em>x = -12x = -5</em>

6 0
2 years ago
Madison needs to buy a new laptop for her music production. She borrows $2,100 and must pay the money back in equal amounts for
Bad White [126]

Answer:

304

Step-by-step explanation:

2100÷7=300

300+interest=300+4

=304

6 0
3 years ago
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Oliver deposited $1,640.70 in a savings account that earns 2.6% simple interest What will Oliver's account balance be in 8 month
jonny [76]

Answer:

b

Step-by-step explanation:

7 0
2 years ago
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