According to the Rational Roots Theorem, which statement about f(x) = 25x^7 – x^6 – 5x^4 + x – 49 is true?Any rational root of f(x) is a multiple of –49 divided by a multiple of 25.

Any rational root of f(x) is a multiple of 25 divided by a multiple of –49.

Any rational root of f(x) is a factor of –49 divided by a factor of 25.

Any rational root of f(x) is a factor of 25 divided by a factor of –49.

Answers

Answer 1

Answer:

Answer:

Any rational root of f(x) is a factor of -49 divided by a factor of 25.

Step-by-step explanation:

The Rational Root Theorems states that :

If the polynomial $P(x)= a _nx^n +{a_(n-1)x}^(n-1)+............{a_(2)x}^(2)+{a_(1)x}^(1)+a_0$ has any rational roots, then they must be in the form of

$\pm (factors of a_0)/(factors of a_n)$

Consider the polynomial

$f(x)=25x^7-x^6-5x^4+x-49$

in this case, we have $a_0=-49$ and $a_n=25$

Any Rational root of f(x) is a factor of $a_0=-49$ divided by a factor of $a_n=25$

Answer 2

Answer: According to the Rational Roots Theorem, the statement about f(x) = 25x^7 – x^6 – 5x^4 + x – 49 which is true is:

Any rational root of f(x) is a factor of –49 divided by a factor of 25.

The key points are "factors", and "ratio between the constant term and the coefficient of the highest order (exponent) term"

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How would you write 2,405 using a power of ten

Answers

Answer:2405.0

Step-by-step explanation:

Answer:

2405^10=6.4736737e+33

Which is true of point K at (0, –5)? A. Point K is to the left of the y-axis. B. Point K is on the x-axis. C. Point K is on the y-axis. D. Point K is to the right of the y-axis.

Answers

C is the correct one

hope this helps :)

I'm lost, please help (NO LINKS)

Answers

Answer:

Adam's total cost: $9.20

Cindy's total cost: $9.20

Step-by-step explanation:

Since Adam and Cyndi's total bill costs $16, evenly splitting the cost means that each of them has to pay $8, not including the tip.

To find out the dollar value of their 15% tip, multiply $8 by 0.15:

$8 × 0.15 = $1.20.

Adam and Cindy will have to pay $8 (lunch cost) + $1.20 (tip) = $9.20 separately.

F (x) = cx + 3In the function above, c is a constant. If f (1) = 1, what is the value of f (-4) ?

Answers

If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1

So the constant c is -2 and that means the value of f(-4) is

f(-4)=-2(-4)+3=8+3=11

Thus, the value of f(-4) is 11.

About why does "c" have to be -2, here's the proof.

Given y = f(x), therefore.

y=cx+3

Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3

1 - 3 = c and therefore, -2 = c #

So this is the proof that c = -2

A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude of 41,000 feet. Model the most fuel-efficient altitudes using a compound inequality.