Given:
Degree of a polynomial is 7.
To find:
The possible combination of root types for a 7th degree polynomial.
Solution:
We know that, by complex conjugate root theorem, is a complex number is a root of a polynomial, then its conjugate is also the root of that polynomial, it means number of complex roots always an even number.
Similarly,
Irrational roots are also occurs in pairs. If [tex]1+\sqrt{2}[/tex] is a root of polynomial, then its [tex]1-\sqrt{2}[/tex] is also the root of that polynomial, it means number of irrational roots always an even number.
In options A, B and C either complex or irrational roots are odd, which is not true.
Therefore, the correct option is D.
Nicks used 4 bananas and 5 oranges in his fruit salad.
Daniel used 7 bananas and 9 oranges.
Did Nick and Daniel use the same ratio of bananas to
oranges? Explain why or why not.
can someone help me with this
Can someone please help me !!!!
Step-by-step explanation:
c²= 8²+6²
c²= 64+36
c²=100
c=10
Answer:
10
Step-by-step explanation:
It is a right triangle - so you can use the Pythagorean theorem
8^2+6^2 = c
c = 10
help me solve the equation 4x+1=2x-5
Answer:
-3
Step-by-step explanation:
4x+1=2x-5
Get x on one side by subtracting 2x
2x+1=-5
Get x alone by subtracting 1
2x=-6
Simplify by dividing by 2
X=-3
Answer: x=-3
Step-by-step explanation: Pic is Attached. Hope this helps.
Isolate the variable to one side of the equals sign by adding or subtracting. Consolidate the constants (like 1 or 5) to the other side of the equals sign.Get the x alone by dividing out the 2 from the x on both sides.The Royals softball team played 80 games and won 20 of them. What percent of the games did they win
Answer:
25%
Step-by-step explanation:
20/80=1/4=0.25=25%
A sales agent makes 40 calls a day. About 15% he calls result in a sale. How many days
will it take for the sales agent to meet a quota of 120 sales?
Answer: 20 days
Step-by-step explanation:
Since the sale agent makes 40 calls a day and about 15% he calls result in a sale. This means the number of sales will be:
= 15% × 40
= 0.15 × 40
= 6
6 sales out of every 40 calls per day.
The number of calls to make 120 sales will be:
= 15% of x = 120
0.15 × x = 120
0.15x = 120
x = 120/0.15
x = 800 calls
Since he needs 800 calls and he makes 40 calls per day, the number of days needed will be:
= 800/40
= 20 days
Car A costs $25.95 to rent and $0.35/km to drive. Car B costs $19.95 to rent and $0.55/km to drive. Let y represent the total cost to rent a car and m represent the number of kilometers a person drives. If you are solving the equation, how many km would you have to drive for the total cost to be the same?
0.35m + 25.95= 0.55m + 19.95
1) 60 kilometers for them to be the same
2) 6 kilometers for them to be the same
3) 12 kilometers for them to be the same
4) 30 kilometers for them to be the same
Answer:
i think it's 1
Step-by-step explanation:
Answer: I think it is 4
Step-by-step explanation:
NEED HELP ASAP!!! (math)
Answer: C
Step-by-step explanation: because you are trying to get h by its self and there is no -2b in the equation
I hate school I really do!
Answer:
SAMEEE
Step-by-step explanation:
QUIT SCHOOOOLLL
一
#
The slope of this line
Answer:
4/2x is the slope
and the y intercept is -3
Answer:
the slope is 2
Step-by-step explanation:
4/2 = 2
hii
What is the answer for -5x^2=-500 by factoring the quadratic equation?
Answer:
x=10
Step-by-step explanation:
I think..i tired
Divide both sides by 55.
{x}^{2}=-\frac{500}{5}x2=−5500
2
Simplify \frac{500}{5}5500 to 100100.
{x}^{2}=-100x2=−100
3
Take the square root of both sides.
x=\pm \sqrt{-100}x=±√−100
4
Simplify \sqrt{-100}√−100 to \sqrt{100}\imath√100ı.
x=\pm \sqrt{100}\imathx=±√100ı
5
Since 10\times 10=10010×10=100, the square root of 100100 is 1010.
determine the range of the following graph
If you have a coyote at your house what should you do if its trying to kill your animals at your ranch ???? plz help me out cause the coyote is in my ranch right now PLZZZZZZZ
Answer:
Step-by-step explanation:
1. place food away from the ranch
2. Throw stuff at it
3. Save your animals!
Answer: if it is killing your animals id say shoot it but there scared of people so just like walk around where you see it the most
Step-by-step explanation:
i hope this helps my grandpa has cows and he normally just keeps a gun with him
Question 6 (1 point) 0.912 +134.1) Positive or Negative
Answer:
positive
Step-by-step explanation:
because don't have the "-"
Answer:
positive
Step-by-step explanation:
0.912+134.1= 135.012
Plsss help me :((((((
Answer:
Y-intercept: 0
Equation: y = 5/4x
2x−2y= −10 Standard to Slope Intercept Form
Answer:
y= x-5
Step-by-step explanation:
i think im wrong
The half-life of a certain radioactive substance is 45 days. There are 6.2 grams present initially. On what day
will there be less than 1 gram remaining? Day
Answer:
There will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days
Step-by-step explanation:
The given parameters are;
The half life of the radioactive substance = 45 days
The mass of the substance initially present = 6.2 grams
The expression for evaluating the half life is given as follows;
[tex]N(t) = N_0 \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{1/2}}[/tex]
Where;
N(t) = The amount of the substance left after a given time period = 1 gram
N₀ = The initial amount of the radioactive substance = 6.2 grams
[tex]t_{1/2}[/tex] = The half life of the radioactive substance = 45 days
Substituting the values gives;
[tex]1 = 6.2 \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}[/tex]
[tex]\dfrac{1}{6.2} = \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}[/tex]
[tex]ln\left (\dfrac{1}{6.2} \right ) = {\dfrac{t}{45} \times ln \left (\dfrac{1}{2} \right )[/tex]
[tex]t = 45 \times \dfrac{ln\left (\dfrac{1}{6.2} \right ) }{ln \left (\dfrac{1}{2} \right )} \approx 118.45 \ days[/tex]
The time that it takes for the mass of the radioactive substance to remain 1 g ≈ 118.45 days
Therefore, there will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days.
Fred is 4 times as old as Nathan and is also 27 years older than Nathan. Let f be Fred's age and let n be Nathan's age.
Answer:
The system of equations is
and
Fred's age is 36 years old and Nathan's age is 9 years old
Step-by-step explanation:
Let
f -----> Fred's age
n ----> Nathan's age
we know that
-----> equation A
----> equation B
equate the equations and solve for n
Find the value of f
therefore
Fred's age is 36 years old and Nathan's age is 9 years old
How many pages does Kevin read per hour? *
Answer:
7
Step-by-step explanation:
What is the solution to the equation 4x-6-10x-3? O x=-2 0 x = 1/2 Ox=2
p = 1.50n - 500
How many candy bars must be sold to make a profit of $700?
Answer:800
Step-by-step explanation:
I'm assuming (P) represents profit
Apply out 700 in the equation
700=1.50n-500
Add 500 to each side
1200=1.50n
Divide each side by 1.50
800=n.
800 bars must be sold
800 candy bars must be sold to make a profit of $700.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, p = 1.50n - 500, assuming no. of candy bars to be n and we had a profit of $700.
∴ No. of candy bars sold to make a profit of $700 is,
700 = 1.50n - 500.
700 + 500 = 1.50n.
1.50n = 1200.
n = 1200/1.50.
n = 800 candy bars.
learn more about equations here :
https://brainly.com/question/14686792
#SPJ2
Wich situation leads to a unit cost of 4$ per hat A. 4 hats for 24 B.12 hats for 48$ C. $6 paid for 2 hats D.4 paid for 4 hats
Answer:
D.$4 paid for 4 hats
Step-by-step explanation:
What is unit cost?
unit cost can be defined as the amount paid for a unit quantity of a product
From the given options
only options D represents unit cost
the reason is because $4 was paid for 4 hats
it clearly shows that 1 hat cost $1
Determine the number of real solutions of the given function.
Answer:
b
Step-by-step explanation:
The ratio of nuts to candies in a trail mix is 7:2. How many candies and nuts could be in the trail mix? help pls
A. 2 candies and 9 nuts
B. 6 candies and 21 nuts
C. 7 candies and 9 nuts
D. 14 candies and 4 nuts
Answer:
c. 7 candies and 9 nuts
Step-by-step explanation:
c.. 7 and 9
Answer:
c
Step-by-step explanation:
because 9x10 is acually 21 because because 9 goes into twenty 2 times. and 2 times 5 is ten and ten times 2 is twenty and the extra one from the 9 add it to twenty any you get twenty one periott
A bag contains 5 white 6 red 3 purple and 4 yellow marbles. What is the theoretical probability that the marble draw is red
Answer:
6/18 which simplifies to 1/3
Step-by-step explanation:
you know that there are 6 reds so you put that on the numerator of the fraction and you add everything together to get the denominator. then the final answer is 6/18 and you simplify that to 1/3
the eagles had a record of 16 wins and 12 loses. What was the ratio of wins to losses?
(answer for brainliest)
Answer:
16/12 or 4/3
Math
Question 10
Which equation below is perpendicular to the line y = - 2?
Your answer:
X=-2y+4
Y=-6
X=4
o y - 4 =0(x-2)
Answer:
x=4
Step-by-step explanation:
y = -2 runs parallel to the x axis
x = 4 runs parallel to the y axis, so is perpendicular
Can anyone help me on question 5?
State the degree of
[tex] {2x}^{2} - {5x}^{3} + {7x}^{4} - 9[/tex]
Answer: the polynomial deggre is 4
Step-by-step explanation:
Find the volume of a cylindrical bottle, with a diameter of 7 cm and a height of 40 cm.
Use pi = 3.14.
A 490 cm
3
B 1538.6 cm
1960 cm
3
6154.4 cm