Answer:
[tex]P(x)=x^5+11x^3+28x[/tex]
Step-by-step explanation:
Roots of a polynomial
If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula
[tex]P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)[/tex]
Where a is an arbitrary constant.
We know three of the roots of the degree-5 polynomial are:
[tex]x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}[/tex]
We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:
[tex]x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}[/tex]
Let's build up the polynomial, assuming a=1:
[tex]P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})[/tex]
Since:
[tex](a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2[/tex]
[tex]P(x)=(x)(x^2+7)(x^2+4)[/tex]
Operating the last two factors:
[tex]P(x)=(x)(x^4+11x^2+28)[/tex]
Operating, we have the required polynomial:
[tex]\boxed{P(x)=x^5+11x^3+28x}[/tex]
Using the ordered pairs (-2, 4) and m= -3 provide the following information: Point - Slope form: or Slope Intercept form : Standard forma
X intercept: Y intercept:
Answer:
Using the ordered pairs (-2, 4) and m= -3 provide the following information: Point - Slope form: or Slope Intercept form : Standard forma
X intercept: Y interce
Step-by-step explanation:
Answer:
m = 0.0125
Step-by-step explanation:
A person can burn about 7 calories per minute bicycling. Let x represent the number of minutes bicycled,
and let y represent the number of calories burned. Create a mapping diagram to show the number of
calories burned by bicycling for 40, 80, 120, or 160 minutes. Determine the domain and range of the
relation in context and explain whether or not this represents a function.
Answer:
Minutes Calories
50 350
100 700
150 1050
200 1400
The domain values are
50, 100, 150, 200
The domain is minutes bicycling
.
The range values are
350, 700, 1050, 1400
The range is the calories burned
.
This relation is a function. Each domain value is paired with exactly one range value
Step-by-step explanation:
Since the person burns 7 calories per minute, multiply the number of minutes by 7 to find the range.
Which property justifies the statement below?
x(y−3)=xy−3x
A Distributive Property
B Associative Property
C Transitive Property
D Commutative Property
pls help :((
is 9 a prime number ples help
Answer:
no
Step-by-step explanation:
Express the ratio 3:5 as a percentage
Answer:
60%
Step-by-step explanation:
= 3 ×100%
5
=3×20%
=60%
Answer:
60%
Step-by-step explanation:
3:5
3/5
to convert it into a percentage, multiply it with 100
3/5 ×100
300/5
60%
hope it helps you
find the value of x plz
Answer:
[tex]x=23[/tex]
Step-by-step explanation:
because we know 4x+19 is the same as the angle below 3x then
[tex]3x+4x+19=180\\7x+19=180\\7x=161\\x=23[/tex]
Mrs. Palmer asks her students to find the area of the tops of their desks.
3 feet
13 feet
5 feet
What is the area of the tops of the desks?
A 15 square feet
B 12 square feet
C 9 square feet
D 3 square feet
Its multiple choice
need help asap
Answer:
12 square feet
Step-by-step explanation:
The shape of the top of the desk is a trapezoid.
A = (b1 + b2)h/2
A = (5 ft + 3 ft)(3 ft)/2
A = (8 ft)(3 ft)/2
A = 24 ft^2/2
A = 12 ft^2
Answer: 12 square feet
- 2(x + 3)
Simply the expression
Answer:
Distribute
-2x -6
Step-by-step explanation:
Answer:
-2x - 6
Step-by-step explanation:
Multiply everything in parentheses by the number outside of the parentheses which is -2
-2 × x = -2x
-2 × 3 = -6
evaluate 14-8+3+8x(12divided by 8
Answer:
25.5
Step-by-step explanation:
Answer is a 21
I hope it is helpful for youPeyton is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 2 points. What would be Peyton's test score (out of 20) if
she got 4 questions wrong? What would be her score if she got a questions wrong?
Given :
Peyton is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 2 points.
To Find :
Peyton's test score (out of 20) if she got 4 questions wrong.
Solution :
Total numbers of questions are 20/2 = 10 questions.
Points after getting 4 questions wrong :
P = 2( 10 - 4 )
P = 12
Therefore, her score after getting 4 questions wrong is 12.
Hence, this is the required solution.
Answer:
Score with questions wrong:20-2(x)=12
Score with x questions wrong: 20-2x
Step-by-step explanation:
Since Peyton loses 2 points for every question wrong, she would lose 2 x 4, or 8 points when getting 4 questions wrong. Since the test is out 20 points, her final score would be 20-8 or 12 points. (Note, this is an answer for delta math.)
Step-by-step explanation:
2. The product of an even number and an odd number is an even number.
Answer:
5
Step-by-step explanation:
ok thanks
Answer:
yup
Step-by-step explanation:
[-6, -4] average rate of change on the interval
Answer:
4
Step-by-step explanation:
first you add
-6 + -2 = -8
then you devide
2÷-8 = 4
Which statement is true about the polynomial
–3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?
It has 3 terms and a degree of 5.
It has 3 terms and a degree of 7.
It has 4 terms and a degree of 5.
It has 4 terms and a degree of 7.
Answer:
it has 4 terms and a degree of 7
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
just took the test
if i have 20 apples, and i decide to give 5 away, how many apples do i have left ?
Answer:
Hey mate,
Step-by-step explanation:
20 - 5 = 15 apples.
U have 15 apples with u....
mark me as the brainliest....
follow me
True or false: A conjecture is created through deductive reasoning.(1 point)
The statement is false. A conjecture is created through an axiomatic system.
The statement is false. A conjecture is proven through deductive reasoning.
The statement is false. An axiom is created through deductive reasoning.
The statement is true.
Answer:
The statement is false. A conjecture is proven through deductive reasoning.
Step-by-step explanation:
Pls show work and follow the steps
Answer:
r = -4
Step-by-step explanation:
-3r+9 = -4r+5
+[4r] +4r
_____________
r+9 = 5
-[9] -9
__________
r = [-4]
Explain how to solve this problem.
-5 + 18 + (-12) + (-1)
Answer:
0
Step-by-step explanation:
-5 + 18 + (-12) + (-1)
-5+18-12-1
13-13
0
-5x+3y=-9 3x+7y=23
Need help please HElP
Answer:
-88x + 10y
Step-by-step explanation:
-5x+3y= -93x+7y=23
we cannot do anything to numbers with unlike signs so we will do this
23=-5x+3y=-93x+7y
now we will take the numbers with like signs to one place like this
23=-5x+93x+3y+7y
now we can solve this
- x + = -
+ x+=+
-x-=-
23= 88x+10y ANSWER
Answer:
x = 3 and y = 2
Step-by-step explanation:
-5*3+3*2=-9 and 3*3+7*2+23
what is the probability of getting a total of 7 when you roll the dice twice
A. 1/36
B. 6
C. 1/6
D. 0.2
Answer:
1/6
Since there are 6 sides on a dice, divide 100 by 6.
100 ÷ 6 = 16.67%
Now, convert 16.67% to a fraction.
16.67% = 1/6 fraction.
You get 1/6. That is your answer. Hope it helps!
Six less than 3 times a number is 30
Answer:
3n - 6 = 30
Step-by-step explanation:
less than always goes at the end of an equation. 3 x n = 3n
A student tracks their amount of hours of sleep per night for a week. If they sleep the following amount of hours each night, what is their MEAN number of hours of sleep? 4, 5, 5, 5, 6, 9, 10
What is 467,000 in scientific notation?
Answer:
4.67^5 the 5 is for the number of places we moved.
Step-by-step explanation:
We have to move places because according the law of scientific notation your number has to be from 1-9
The Box says it takes 4 eggs to make 12 pancakes. How many eggs did Alfonso use to
make 90 pancakes at the Sunday Church breakfast
Answer:
30 eggs
Step-by-step explanation:
1 egg makes 3 pancakes so 30 eggs would make 90 pancakes becaue the ratio is 1:3.
To find your answer you could have done 90÷3
Layla’s age is 2 less than 3 times kaylas age. If the sum of their age is, 30, how old is Layla?
Answer:
Step-by-step explanation:
Layla is 8
If Layla is 2 years younger than kayla you’d start with 10&multiply by 3 which gives you your sum of 30
11-m=51-6m what does m equal
Answer:
8
Step-by-step explanation:
11-m=51-6m
-m+6m=51-11
5m=40
m=40/5
m=8
hope it helps u
Answer:
m=8
Step-by-step explanation:
11-m=51-6m
You put the like terms together first so it will be:
6m-m=51-11
because when the numbers cross the '=' sign the signs change so -6 becomes +6m which is the same as 6m then +11 becomes -11. Then you solve:
=6m-m=51-11
=5m=40
Divide each side by 5 so that you can be left with the value of m
=5m÷5=40÷5
=m=8
If the length, width and height of a sphere is 3.7 cm, what is the diameter, radius and volume ?
The length or width or height of Sphere means diameter. It's same.
how to covert mm3 to liters
please help
0.003L
Step-by-step explanation:
Divide by
1000
This is a case of the metric system. To convert from "milli-" to the standard unit, such as meters or liters, we divide by
1000
One milliliter is equal to a thousandth of a liter, and one liter is equal to one thousand milliliters.
3ML=0.003L
the expression (2x^2 + 6x + 5) - (6x^2 + 3x + 5) is equivalent to which solution?
1) -4^2 + 3x
2) 4x^2 - 3x
3) -4x^2 - 3x + 10
4) 4x^2 + 3 - 10
Answer:
1) -4x^2 + 3x
Step-by-step explanation:
you subtract the numbers that have the same exponent and variable!
(2x^2 + 6x + 5) - (6x^2 + 3x +5)
2x^2 - 6x^2 = -4x^2
6x - 3x = 3x
5 - 5 = 0
Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?
the formula for the area of a circle
the formula for the area of a trapezoid
the formula for the area of a triangle
the formula for the area of a rectangle
[tex]\bf{\blue{\underline{\underline{\pink{SOLUTION:-}}}}}[/tex]
[tex]\mathcal\red{Correct\:Answer:-}[/tex]
A) The formula of the area of a circle .
Area of Circle = π r² .In the formula of area of a circle “π” is present, which is a irrational number .Answer:
A: The formula for the area of a circle
Edg 2020
Chris bought 10.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chris bought?
Answer:
39.52
Step-by-step explanation:
i did it on a calculator
add me on insta plz tryntin_big_boy
