According to Rational Root Theorem, which statement about fox) 66x4 2x3 11x2 +35 is true?the O Any rational root of foo) a factor of 35 divided by a factor of 66.is Any rational root of f(x) is a multiple of 35 divided by a multiple of 66Any rational root of f() is a factor of 66 divided by a factor of 35.Any rational root of f(x) is a multiple of 66 divided by a multiple of 35

Answers

Answer 1

Answer:

Any rational root of f(x) is a factor of 35 divided by a factor of 66.

Step-by-step explanation:

The Rational Root Theorem states that:

If P(x) is a Polynomial with integer coefficients and if there exist a rational root of the polynomial i.e. of the form p/q then p is the factor of the constant term and q is a factor of leading coefficient of the polynomial function P(x).

Here we have:

$P(x)=66x^4-2x^3+11x^2+35$

So, according to the Rational Root Theorem the statement that holds true is:

Any rational root of f(x) is a factor of 35 divided by a factor of 66.

Answer 2

Answer:

Answer:

Any rational root of f(x) a factor of 35 divided by a factor of 66.

Step-by-step explanation:

Rational Root Theorem-

$a_(n)x^(n)+a_(n-1)x^(n-1)+\cdots +a_(0)=0$

If $a_(0)$ and $a_(n)$ are nonzero, then each rational solution x will be,

$x=\pm \frac{\text{Factors of }a_0}{\text{Factors of }a_n}$

The given polynomial is,

$66x^4-2x^3+11x^2 +35$

Here,

$a_(0)=35$ and $a_(n)=66$

Applying the theorem,

$x=\pm \frac{\text{Factors of }35}{\text{Factors of }66}$

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The product of a + 3 and –2a2 + 15a + 6 is –2a3 + xa2 + 51a + 18. What is the value of x?

Answers

Value of x is 9 As when we multiply a + 3 by -2a2 + 15a + 6 We get (a + 3) (-2a2 + 15a + 6) -2a3 + 15a2 + 6a - 6a2 + 45a + 18 -2a3 + 9a2 + 51a + 18 If we compare the coefficients of a2, we get x = 9

Answer:

Step-by-step explanation:

Find the value or values of x in the quadratic equation x2=6x-9.

Answers

Hi Harris

x²=6x-9

First thing we need to do is

subtract 6x-9 from the booth sides

x²-(6x-9)=6x-9-(6x-9)

x²-6x+9=0

Now we gonna factor the left side

(x-3)(x-3)=0

Set factor equal 0

x-3=0 or x-3=0

x=3

I hope that's help !

x² = 6x - 9, or x² - 6x + 9 = 0, or x² - 2*x*3 + 3² = 0, or (x-3)² = 0 => x₁ = x₂ = 3.

Green eyes.

A recent study indicates that the annual cost of maintaining and repairing a car in a town in Ontario averages 200 with a variance of 260. A tax of 20% is introduced on all items associated with the maintenance and repair of cars (i.e., everything is made 20% more expensive). Calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced.

Answers

Answer:

374.4

Step-by-step explanation:

All items related to the maintenance are 20% more expensive, it means that each datum is 20% bigger including the average.

The variance its a dispersion measurof the data and its calculated of this way:

$\sigma^(2) =(1)/(n) \sum\limits^n_(i=1) (x_(i)-\var{x})^2\n$

Here n is the number of data, $\var{x}$ is the average and $x_(i)$ represent each datum. The increment in 20% in each parameter can be represented multiplying for 1.2, of this way

$\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1) (1.2x_(i)-1.2\var{x})^2\n$

Factorizing the 1.2 we have:

$\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1) (1.2(x_(i)-\var{x}))^2$

$\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1)1.2^(2) (x_(i)-\var{x})^2$

$\sigma_(20\%)^(2) =(1.2^(2))/(n) \sum\limits^n_(i=1) (x_(i)-\var{x})^2\n$

That is:

$1.2^(2)\sigma^(2)=\sigma_(20\%)^(2)$

The new variance is $1.2^(2) \sigma^(2) =1.44*260=374.4$

Final answer:

To calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced, we can use the formula var(X + c) = var(X), where X is the original cost and c is the tax rate. In this case, the tax rate is 20%, so c = 0.2. The variance of the original cost is 260, so the variance of the cost after the tax is introduced is also 260.

Explanation:

To calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced, we can use the formula var(X + c) = var(X), where X is the original cost and c is the tax rate. In this case, the tax rate is 20%, so c = 0.2. The variance of the original cost is 260, so the variance of the cost after the tax is introduced is also 260.

Learn more about variance of annual cost here:

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Is the following relation a function?two ovals, one labeled x and the other labeled y. The negative 2 in the x oval is pointing to the 5 in the y oval, the 0 in x is pointing to 1 and 3 in y, 5 in x pointing to 8 in y, and 7 in x pointing to 5 in y

Yes

No

Answers

The answer is No.
Because the 0 in x oval is pointing to BOTH 1 and 3 in y oval.
And that must not happen in order to relation be a function.
The following conditions must be satisfied for relation to be a function:
1. condition: EVERY element in first oval has to be connected to some element in second oval.
2. condition: Elements in first oval MUST NOT have more than one connection with elements in second oval.

The answer is B (no)

Estimate the square root to the nearest integer 27/4

Answers

Answer:

the answer is 47

Step-by-step explanation:

Answer:

the answer is 47

Step-by-step explanation:

An engine makes 400 revolutions per minute. It will make [blank] [blank] in 12 minutes.

Answers

To solve this problem, we can set up a proportion.

400 revolutions/1 minute = x revolutions/12 minutes

To solve this proportion, we can use cross products, which is multiplying the numerator of one fraction by the denominator of the other and setting these two products equal to one another.

400*12 = 1 * x

Now, let's simplify.

4800 =x

Therefore, if an engine makes 400 revolutions per minute, it will make 4800 revolutions in 12 minutes.

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