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kvasek [131]
3 years ago
11

Chứng minh các biểu thức sau không phụ thuộc vào x 2(sin^6x + cos^6x)-3(cos^4x + sin^4x)

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0

plz mark me as brainliest..

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Pls Help!!! Worth 99 Pts!!
Alenkasestr [34]
First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)

To find the zeros, you set the equation equal to 0 and solve for x
x^3+2x^2-8x=0
x(x^2+2x-8)=0
x(x+4)(x-2)=0
x=0   x=-4   x=2

So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)

And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.
Plugging in a -5 gets us -35
-1 gets us 9
1 gets us -5 
3 gets us 21

So now you know end behavior, zeroes, and signs of intervals

Hope this helps<span />
6 0
3 years ago
Read 2 more answers
-what is the answer<br>​
faust18 [17]

Answer:

answer

Step-by-step explanation:

4 0
3 years ago
Mr. Charles gave both of his sons, Joe and Bill, $5,000. Joe deposited the money in an account that offered simple interest of 1
Maksim231197 [3]

Answer:

Bill by $85

Step-by-step explanation:

Bill :  Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the money given  is then subtracted from the resulting value.

Compounded annually for 6 years at 9 % interest Bill would have $8385.50.

Joe : Simple interest at 11% a year The formula we'll use for this is the simple interest formula.

P is the principal amount, $5000.00.

r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.

t is the time involved, 6year(s) time periods.

So, t is 6year time periods.

To find the simple interest, we multiply 5000 × 11 × 6  = 3300

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 5000.00 + 3300.00 = 8300.00

As you can see Bill has more by $85.

^Check yourself

5 0
3 years ago
Their 15,000 kids in the multipurpose room.there is only 16 rows with 5 seats in each.how many kids will not have a seat to sit
sp2606 [1]

Answer: 14,920 kids

Step-by-step explanation:

15,000-(16×5)=x

15,000-80=x

14,920=x

8 0
3 years ago
Read 2 more answers
Square root of 10 times square root of 8
pochemuha
8.94427191 rounded to 9
8 0
3 years ago
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