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nikitadnepr [17]
3 years ago
5

use synthetic division to determine which of the following are the real zeroes of the function f(x) = 5x^3 + 8x^2 + x - 2

Mathematics
1 answer:
tester [92]3 years ago
3 0
Always try putting x=1 and x=-1 to see if we can find a zero.
If x=1 we get 5+8+1-2 which is not zero.
If we change the signs of the odd powers of x we get -5+8-1-2 which is zero so x=-1 is a zero and x+1 must therefore be a factor. Now we can use synthetic division to find the quadratic:

-1 | 5 8 1 -2
5 -5 -3 2
————
5 3 -2 | 0 = 5x²+3x-2 = (5x-2)(x+1).

Therefore the real zeroes are -1, 2/5, since -1 is a duplicate zero (because the cubic factorises into (5x-2)(x+1)²).
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Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. using complete sen
Kryger [21]

Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.

<h3>What is logarithm?</h3>

When you raise a number with an exponent, there comes a result.

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a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

b = \log_a(c)

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Erika is working on solving the exponential equation 50^x = 17;

however, she is not quite sure where to start.

The equation is

50^x = 17\\

By taking the log both sides

log_a b = x\\\\a_x = b

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3 0
2 years ago
An iceberg weighs 450,000 pounds if it loss 0.2% of its weight in a day, what is its new weight at the end of the day
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<h3>Answer:  B) real number</h3>

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Both types of numbers, rational and irrational, are under the umbrella of the real number system. Any real number is a string of decimal digits. Sometimes it might be a whole number, but fractional values can be included as well. The decimal number may terminate, or it may repeat, or it may go on forever without a pattern.

In short, any number you can think of is a real number assuming your teacher hasn't covered complex numbers (or imaginary numbers) just yet.

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