Answer:
The function, h(x) = x³ - 2x² - 4x + 5 has 2 or 0 positive real zeros and exactly 1 negative real zero.
Step-by-step explanation:
Using Descartes' Rule of Signs
For the positive-root case, the sign on x is not changed:
h(x) = x³ - 2x² - 4x + 5
Counting the number of sign changes while ignoring the actual coefficients; there are two sign changes.
Thus, the function, h(x) has 2 or 0 positive real zeros
For the negative root case, h(-x), that is changing the sign on x
h(-x) = (-x)³ - 2(-x)² - 4(-x) + 5
h(-x) = -x³ - 2x² + 4x + 5
Counting the number of sign changes while ignoring the actual coefficients; there is only one sign change.
Thus, the function, h(x) has exactly 1 negative real zero.
Answer:
a. Fraction of earnings that Mariano put into each piggy bank is 1/12
b. Mariano earns $28.8
Step-by-step explanation:
Mariano divides his earning in a saving account and 3 piggy banks.
First , we have to know the fraction that we divide in the 3 piggy banks.
Piggy banks =Total earning-Saving account
Saving account 3/4,
Total earning is 1
to rest both term we have to get the same denominator , so we can say that the total earning is 4/4
Piggy banks =4/4-3/4=( 4-3)/4=1/4
Piggy banks =1/4
Each piggy bank will be 1/3 of that 1/4
1/3 x 1/4=
For fraction multiplication, multiply the numerators and then multiply the denominators to get
1×1/3×4=1/12
This fraction cannot be reduced.
b. Mariano adds $2.40
1/12 is 2.40
total earning is ?
We use cross-multiplication
a/b=c/d replacing (1/12)/2.40 = 1/ ?
So, the total earning (?) is 1 x 2.40/ (1/12)
= 2.40 x 12=$28.8
Answer:
The fourth option
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