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SIZIF [17.4K]
3 years ago
7

What is the correct ratio of each rational root of the polynomial function: f(x) = 5x5 − x3 + 3x + 6? a)factor of 6/5 b) factor

of 6/1 c) factor of 4/factor of 6 d) factor of 6/factor of 5
Mathematics
1 answer:
goldenfox [79]3 years ago
6 0
The correct poynomial function should be f(x) = 5x^2 − x^3 + 3x + 6. The factors are  x1 = 5.7095, x2 = -0.35475 + i * 0.96179 x3 = -0.35475 - i * 0.96179. The roots are composed of two imaginary roots and one real root. There is no correct ratio that can be made as there are alrady imaginary roots
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Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4% of the total inter
noname [10]

Given

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Total interest paid was $475

Find out  he invest in each.

To proof

Let us assume that Paul invested  in an account paying 4% be = x

As given in the question

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Let us assume that Paul invested  in an account paying 5% be = 3x

Total interest paid = $475

First convert 4% in the decimal form

=\frac{4}{100}

= 0.04

First convert 5% in the decimal form

=\frac{5}{100}

= 0.05

Than the equation become in the form

0.04x + 0.05 × 3x = 475

0.04x + 0.15x = 475

0.19x = 475

x = $2500

Paul invested  in an account paying 4% be = $2500

Paul invested  in an account paying 5% be = $7500

Hence proved






5 0
3 years ago
A cylinder has a radius of 3 feet and a height of 7 feet. Which of the following can be used to calculate the volume of a cone t
kramer

Answer:

(3.14)(3)(7)

Step-by-step explanation:

we know that

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have that the radius and the height of the cone will be equal to the radius and the height of the cylinder

so

r=3\ ft

h=7\ ft

\pi =3.14

substitute the given values

V=\frac{1}{3}(3.14)(3)^{2} (7)

V=\frac{1}{3}(3.14)(9)(7)

Simplify

V=(3.14)(3)(7)

5 0
3 years ago
A bread machine is marked "reduced by 15%, now only $101.15".
Art [367]
(100-15=85%)
85=101.15 how about 100 
100 x 101.15 divided by 85=118.882353
$119
8 0
3 years ago
Find the coefficient of the x^3 in the expansion of (2x-9)^5
il63 [147K]

Use the binomial theorem:

\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}

The <em>x</em> ³ terms occurs for 5 - <em>k</em> = 3, or <em>k</em> = 2, and its coefficient would be

\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}

8 0
3 years ago
Solve for h.
Luden [163]
Solving for h means we write the equation in such a way that h is isolated from other variables. It is done as follows: 

(P = mgh) 1/mg
P/mg = mgh/mg
h = P/mg

Therefore, the correct answer from the choices listed above is option C, h = p/mg.

Hope this answers the question. Have a nice day. 
4 0
2 years ago
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