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Katen [24]
3 years ago
5

Let p(x) be a polynomial with real coefficients such that the product of all six roots of p(x) is negative. Show that if the deg

ree of p(x) is 6, then p(x) has at least one positive root.
Mathematics
1 answer:
Neko [114]3 years ago
4 0

Answer:

The product of 6 numbers is negative only is the number of negatives is odd.

If the number of negative roots is even, then their product will be positive.

The greatest odd number less than 6, is 5. It means the smallest number of positive numbers is 6 - 5 = 1.

So the least number of positive roots is one.

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Answer:

Step-by-step explanation:

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3 years ago
the price of silver has increased by 15% per year from 2000. in the year 2000, harry bought a silver bowl for $190. which of the
lesya [120]
<h2>Answer</h2>

f(x) = 190(1.15)x

<h2>Explanation</h2>

To solve this, we are going to use the standard exponential function:

f(x)=a(1+b)^x

Where

f(x) is the final price after x years

a is the initial price

b is the rate in decimal form

x is the time in years

We know from our problem that the initial price is $190, so a=190. Now to convert the rate, 15%, to decimal form, we are going to divide it by 100%, so r=\frac{15}{100} =0.15. Let's replace the values:

f(x)=a(1+b)^x

f(x)=190(1+0.15)^x

f(x)=190(1.15)^x

8 0
3 years ago
May I please receive help?
Allisa [31]
They are perpendicular
4 0
3 years ago
Find the domain of f/g.<br><br>A.<br>B.<br>C.<br>D.<br>​
Juli2301 [7.4K]

Answer:

C. All real numbers except \frac{3}{4}.

Step-by-step explanation:

The domain of all polynomials is the set of all real numbers, whereas the domain of rational-polynomic functions are the set of all numbers expect for those values of x so that denominator becomes zero. Hence, we need to solve for x from following expression:

4\cdot x - 3 = 0

4\cdot x = 3

x = \frac{3}{4}

The domain of the function is all real numbers except \frac{3}{4}. (Right answer: C)

8 0
3 years ago
4x+8y=-24 what is this how do i do it
borishaifa [10]

Answer:

if you're rewriting the equation the answer is  x+2y+6=0 explanation : I moved the constant to the left handside and changed its sign, then divided both sides of the equation by 4. If youre solving for x the answer is x=-6-2y . If youre solving for y its y=-3- x/2 ( fraction)

Step-by-step explanation:

5 0
3 years ago
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