Step-by-step explanation:
x³ + 10x² + 25x
= x(x² + 10x + 25)
= x(x + 5)².
You can start by multiplying the first equation by twelve, by doing this you get whole numbers. This yields:
4x + 3y =12
2x - 3y = -30
As you can see, you have two terms that only differ in sign.
By adding both equations together you get this:
6x=-18 or x=-3
The reason why you can add these equations together is illustrated in the next example:
4=x
5=y
4+5=x+y
Simple no?
Now that you now x you can substitute the value in one of the equations and you get the y value:
4*-3 + 3y =12
-12 + 3y =12
3y= 24
y=8
Answer:
The two regular cans of soup has a greater volume than the family size can of soup
Step-by-step explanation:
step 1
Find the volume of two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm
The volume is equal to
![V=2[\pi r^{2} h]](https://tex.z-dn.net/?f=V%3D2%5B%5Cpi%20r%5E%7B2%7D%20h%5D)
we have
----> the radius is half the diameter
substitute
![V=2[\pi (4)^{2} (10)]](https://tex.z-dn.net/?f=V%3D2%5B%5Cpi%20%284%29%5E%7B2%7D%20%2810%29%5D)
step 2
Find the volume of one family can of soup, with a diameter of 10 cm and a height of 12 cm
The volume is equal to
we have
----> the radius is half the diameter
substitute
therefore
Compare the volumes
The two regular cans of soup has a greater volume than the family size can of soup
The answer to this question is never true because they both won’t be the same
The factorization if the given expression 128 + 2d³ is 2(64 + d³).
<h3>Factorization</h3>
128 + 2d³
There are two parameters in the expression;
The common factors between 128 and 2d³ is 2
So,
128 + 2d³
= 2(64 + d³)
Learn more about factorization:
brainly.com/question/25829061
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