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Dovator [93]
2 years ago
12

F (x) = x5 − 8x4 + 21x3 − 12x2 − 22x + 20 Three roots of this polynomial function are −1, 1, and 3 + i. Which of the following d

escribes the number and nature of all the roots of this function?
f (x) has two real roots and one imaginary root.

f (x) has three real roots.

f (x) has five real roots.

f (x) has three real roots and two imaginary roots.
Mathematics
2 answers:
NeTakaya2 years ago
5 0

Answer:

It's D on edge.

mr Goodwill [35]2 years ago
3 0

Answer:

D.  

f (x) has three real roots and two imaginary roots.

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Mia is rolling a pair of 6-sided dice.
tekilochka [14]

Answer:

The domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

Step-by-step explanation:

A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.

Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.

Hence, the domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

7 0
2 years ago
Read 2 more answers
Bob Rohrman is offering a 2016 Toyota Camry for $29,000. If you have a $5,000 down payment and are able to borrow the rest at a
vova2212 [387]

Answer:

The monthly payment will be $531.12

Step-by-step explanation:

Consider the provided information.

After paying $5,000 down payment you need to pay:

$29,000-$5,000=$24,000

APR is 2.99% or APR = 0.299%

Therefore, r=\frac{0.0299}{12}

n = 48

We can calculate the monthly payment by using the formula:

P=\frac{r(PV)}{1-(1+r)^{-n}}

Where P is the monthly payment, PV is the present value, r is the rate per period and n is the number of period.

Substitute the respective values in the above formula we get,

P=\frac{\frac{0.0299}{12}(24000)}{1-(1+\frac{0.0299}{12})^{-48}}

P=\frac{59.8}{0.112593}

P\approx531.12

Hence, the monthly payment will be $531.12

4 0
2 years ago
• Jamie is constructing shipping containers for a sporting goods store. The containers are to be rectangular prisms.
Inga [223]
55555555555jjjuiiiiiiiiiihg
4 0
2 years ago
You found $6.60 on the ground at school, all in nickels, dimes, and quarters. you have twice as many quarters as dimes and 42 co
Veseljchak [2.6K]
Let the number of nickels found be n, the number of dimes be d and the number of quarters be q.

i) "you have twice as many quarters as dimes and 42 coins in all."

means that 2d=q, and n+d+q=42

we can reduce the number of unknowns by substituting q with 2d:

n+d+q=42
n+d+2d=42
n+3d=42

We can write all n, d and q in terms of d as follows:

there are n=42-3d nickels, d dimes and q=2d quarters.

ii) In total there are $6.60 dollars,

1 nickel     =  5 cent   =  $0.05
1 dime      =  10 cent  =  $0.1
1 quarter   =  25 cent  = $0.25 

thus

(42-3d)*0.05 + d*0.1 +2d*0.25= $6.60

2.1 - 0.15d+0.1d+0.5d=6.60

2.1+0.45d=6.6

0.45d=6.6-2.1=4.5

d=4.5/0.45=10

iii)

so, there are 10 dimes, 2d=2*10=20 quarters and 42-3d=42-3*10=12 nickels.


Answer: 10 dimes, 20 quarters, 12 nickels
8 0
2 years ago
Leena walked 2/3 of a mile What is 2/3 written as a sum of unit fractions with the denominator of nine
aliya0001 [1]
Bear in mind that multiplying anything, and anything whatsoever by 1, has a product of the anything itself.

so, let's multiply 2/3 by 1 then and check about,

\bf \cfrac{same}{same}=1\qquad thus\cfrac{2}{3}\cdot 1\implies \cfrac{2}{3}\cdot \cfrac{3}{3}\implies \cfrac{6}{9}
\\\\\\
\textit{now, we can split that and write it as a sum}\implies \cfrac{1+5}{9}\implies \cfrac{1}{9}+\cfrac{5}{9}
3 0
2 years ago
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