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3 years ago

Write the expression that shows “3 tunes the sixth power of 10

Mathematics

1 answer:

tiny-mole [99]3 years ago

3 0

3 times the 6th power of 10

Lets step by step convert the word form to an expression

You have to multiply 3 by the 6th power of 10, so

3 * 6th power of 10

In the 6th power of 10, 10 is the base and it is to the power of 6, so it can be reworded to 10 to the 6th power

or $10^{6}$

We have to multiply it by 3

So the written expression is

3 * $10^{6}$

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Verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 4x^3+20x^2+2x-3. Also verify the relationship between the ze

Finger [1]

Solution:

we have been asked to verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial $4x^3+20x^2+2x-3$

To verify that whether the given values are zeros or not we will substitute the values in the given Polynomial, if it will returns zero, it mean that value is Zero of the polynomial. But if it return any thing other than zeros it mean that value is not the zero of the polynomial.

Let $f(x)=4x^3+20x^2+2x-3\\\\\text{when x=-5}\\\\f(-5)=4(-5)^3+20(-5)^2+2(-5)-3=-13\\\\\text{when x=}\frac{1}{2}\\$

$f( \frac{1}{2} ) = 4 ( \frac{1}{2} )^3+20(\frac{1}{2})^2+2(\frac{1}{2})-3=\frac{7}{2}\\\\$

$\text{when x=}\frac{3}{4}\\\\$

$f( \frac{3}{4} ) = 4 ( \frac{3}{4} )^3+20(\frac{3}{4})^2+2(\frac{3}{4})-3=\frac{183}{16}\\$

Hence -5, 1/2, and 3/4 are not the zeroes of the given Polynomial.

Since sum of roots $=\frac{-b}{a}= \frac{-20}{4}=-5\\$

But $-5+\frac{1}{2}+\frac{3}{4}= \frac{-15}{4}\neq-5$

Hence we do not find any relation between the coefficients and zeros.

Anyway if the given values doesn't represents the zeros then those given values will not have any relation with the coefficients of the p[polynomial.

6 0

2 years ago

DO NOT SKIP!! Let’s see who’s smart enough to work out the problem if u get it correct I’ll mark u as BRAINLIEST SHOW THE WORK P

forsale [732]

Answer:

y=10.1(x)

x= $\frac{y}{10.1}$

Step-by-step explanation:

It is said in the problem that y would represent how much money she earns and x represents the number hours she works.

so it also said that the amount of Jessa earns is proportional to the amount of time she works .

finding y will be easy dividing 252.50 by 25 will give you 10.1

so how did we get that equation

y will represent the amount and x will represent the hours

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2 years ago

For the given polynomials find the sum of the squares of the roots. P(x)=x^3-x^2-18x+k

slega [8]

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2 years ago

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30 seconds, half a minute.

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3 years ago

Read 2 more answers