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Lelechka [254]
3 years ago
6

Factors of 3x^2y^2+6x^2+12y^2+24

Mathematics
1 answer:
ddd [48]3 years ago
4 0
Look for  the GCF

GCF = 3

so we have 

3 (x^2y^2 + 2x^2 + 4y^2 + 8)      Factor by grouping:-

= 3[ x^2(y^2 + 2) + 4(y^2 + 2)]

= 3(x^2 + 4)(y^2 + 2)
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Let f be a continuous function on the closed interval [ − 2 , 5 ]. If f((-2)=-7 and f(5)=1, then the Intermediate Value Theorem
azamat

Answer:

The function has at least 1 zero within the interval [-2,5].

Step-by-step explanation:

The intermediate value theorem states that, for a function continuous in a certain interval [a,b], then the function takes any value between f(a) and f(b) at some point within that interval.

This theorem has an important consequence:

If a function f(x) is continuous in an interval [a,b], and the sign of the function changes at the extreme points of the interval:

f(a)>0\\f(b) (or viceversa)

Then the function f(x) has at least one zero within the interval [a,b].

We can apply the theorem to this case. In fact, here we have a function f(x) continuous within the interval

[-2,5]

And we also know that the function changes sign at the extreme points of the interval:

f(-2)=-70

Therefore, the function has at least 1 zero within the interval [-2,5], so there is at least one point x' within this interval such that

f(x')=0

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3 years ago
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**At noon the minute and the hour hands overlap. When will it happen next?
Svetllana [295]

Answer: At 01:05 p.m. it will overlap again.

Explanation:

Since there are 22 times in a day the minute and the hour hands overlap.

During the first half of the day , it overlaps 11 times and during the rest of the day it overlap 11 more times.

At noon, the minute and the hour hands overlap and after that it will happen at 01:05 p.m.

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7 0
3 years ago
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