Simplify completely quantity 6 x squared minus 54 x plus 84 over quantity 8 x squared minus 40 x plus 48 divided by quantity x s
quared plus x minus
1 answer:
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Suppose we have a generic polynomial of the form:
To know how many roots the polynomial can have, the first thing you should do is observe the term of greatest exponent.
For this case, the term of greatest exponent is 2.
Therefore, the polynomial has 2 roots.
Answer:
You must observe the term of the polynomial with greater exponent.
To know how many roots the polynomial can have, the first thing you should do is observe the term of greatest exponent.
For this case, the term of greatest exponent is 2.
Therefore, the polynomial has 2 roots.
Answer:
You must observe the term of the polynomial with greater exponent.
When can we say that two objects are similar? It's when they coincide with at least one dimension. For this case, imagine two concentric cylinders as shown in the attached figure. Both of the figures are similar. The left side coincide with their heights and base circles, while the right side only coincide in the bases of the circles. Since the heights are not specified, let's suppose the heights are equal, denoted as h.
The volume of the cylinder is equal to: V = πr²h. If you want to find the bigger volume to the smaller volume, all you have to do is divide them. Therefore, the ratio is
Ratio = π(7)²h/π(1)²h
Cancel out like terms: π and h. It leaves us with 7² and 1². So, the final answer would be
Ratio = 49
However, the answer is not given in the choices. Therefore, the heights of the cylinders are not equal. There is no way for us to know the exact ratio without the dimensions of the heights. What we can do here is apply reverse engineering. Let's conform the answer to our solution. Suppose the answer is 112:1.
Ratio: 7²*h₂/1²*h₁ = 112
That means h₂/h₁ = 2.285714286
Suppose the answer is 343:1,
Ratio: 7²*h₂/1²*h₁ = 343
That means h₂/h₁ = 7
So, I think the answer is 343:1, because the ratio's of the heights is an exact whole number. This is logical because the dimensions of the heights are also whole numbers.
The volume of the cylinder is equal to: V = πr²h. If you want to find the bigger volume to the smaller volume, all you have to do is divide them. Therefore, the ratio is
Ratio = π(7)²h/π(1)²h
Cancel out like terms: π and h. It leaves us with 7² and 1². So, the final answer would be
Ratio = 49
However, the answer is not given in the choices. Therefore, the heights of the cylinders are not equal. There is no way for us to know the exact ratio without the dimensions of the heights. What we can do here is apply reverse engineering. Let's conform the answer to our solution. Suppose the answer is 112:1.
Ratio: 7²*h₂/1²*h₁ = 112
That means h₂/h₁ = 2.285714286
Suppose the answer is 343:1,
Ratio: 7²*h₂/1²*h₁ = 343
That means h₂/h₁ = 7
So, I think the answer is 343:1, because the ratio's of the heights is an exact whole number. This is logical because the dimensions of the heights are also whole numbers.