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1 year ago

According to the rational root theorem, which number is a potential root of f(x) = 9x8 9x6 – 12x 7?

Mathematics

2 answers:

yaroslaw [1]1 year ago

7 0

The options of the problem are

$A. 0\ B. \frac{1}{7}\ C. 2\ D. \frac{7}{3}$

we have

$9x^{8} +9x^{6} - 12x +7$

we know that

The Rational Root Theorem states that when a root 'x' is written as a fraction in lowest terms

$x=\frac{p}{q}$

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

in this problem

the constant term is equal to $7$

and the first monomial is equal to $9x^{8}$ -----> coefficient is $9$

therefore

the answer is the option

D. $\frac{7}{3}$

Alchen [17]1 year ago

5 0

Thank you for posting your math problem here in brainly. According to the rational root theorem, the potential root of f(x) = 9x8 9x6 – 12x 7 are ±1, ±2, ±4, ±13, ±23, ±43, ±19, ±29, ±49. I hope my answer helps.

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Find three different surfaces that contain the curve r(t) = t^2 i + lnt j + (1/t)k

Viefleur [7K]

solution:

Consider the curve: r(t) = t²i +(int)j + 1/t k

X= t² , y = int ,z = 1/t

Using, x = t², z = 1/t

X = (1/z)²

Xz²= 1

Using y = int, z= 1/t

Y = in│1/z│

Using x = t², y = int

Y = int

= in(√x)

Hence , the required surface are,

Xz² = 1

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Y= in(√x)

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2 years ago

Megan consumed 3.5 gallons of water in one day. How many milliliters are equal to 3.5 gallons, if 1 liter = 1,000 milliliters an

baherus [9]

1 gallon = 3.785 liters

3.5 * 3.785 = 13.2475 total liters

1 liter = 1000 milliliters

13.2475 * 1000 = 13,247.5 milliliters

Answer is B

3 0

2 years ago

Read 2 more answers

If h:k = 2:5, x:y=3:4 and 2h+x:k+2y = 1:2, find the ratio h-x: k-y.

fenix001 [56]

Given:

$h:k=2:5,x:y=3:4,2h+x:k+2y=1:2$

To find:

$h-x:k-y$

Solution:

We have, $h:k=2:5$ and $x:y=3:4$ .

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

$2h+x:k+2y=1:2$

It can be written as

$\dfrac{2h+x}{k+2y}=\dfrac{1}{2}$

$\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}$

$\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}$

$2(4a+3b)=1(5a+8b)$

On further simplification, we get

$8a+6b=5a+8b$

$8a-5a=8b-6b$

$3a=2b$

$a=\dfrac{2b}{3}$

Now,

$h-x:k-y=\dfrac{h-x}{k-y}$

$h-x:k-y=\dfrac{2-3b}{5a-4b}$

$h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}$

$h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}$

On further simplification, we get

$h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}$

$h-x:k-y=\dfrac{-5b}{-2b}$

$h-x:k-y=\dfrac{5}{2}$

$h-x:k-y=5:2$

Therefore, the ratio $h-x:k-y$ is $5:2$ .

8 0

1 year ago

Jada invests $590 in a money market account her account pays 7.2% simple interest if she does not add or withdraw any money how

denis-greek [22]

Answer:

$169.92

Step-by-step explanation:

Multiply Yearly Interest By How Many Years

7.2 * 4 = 28.8

Take 28.8 Percent Of Amount Of Money In The Account

28.8 percent of 590 = 169.92

3 0

1 year ago

Which two values of x are roots of the polynomial below? 4x2-6x+1

viva [34]

Answer:

4x2-6x+1

∆=√-6^2-4×1×4

∆=√36-16=√20

∆=2√5

root1=(6+√20)/8

root2=(6-√20)/8

6 0

2 years ago