Answer:
1a) opens down
b) don't know because equation has two equal signs
c) don't know because equation has two equal signs
2a) opens up
b) (-4, -13)
c) x = -4
3a) opens down
b) (14, 17)
c) x = 14
Step-by-step explanation:
The polynomial n(x) = 3x4 - 9x3 + x2 – 3x has a factor of (x – 3).
Complete each of the 2 activities for this Task.
Activity 1 of 2
Part A: State the number of roots of the polynomial n(x).
A. 2 real roots; 2 complex roots
B. 4 real roots
O C. 3 real roots; 1 complex root
0
D. 1 real root; 3 complex roots
Answer:
Step-by-step explanation:
2 real roots and 2 complex
Following are the solution to the given polynomial equation:
Given:
Polynomial equation: [tex]\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}[/tex]
Factor: [tex]\bold{(x -3)}[/tex]
To find:
A number of roots for the polynomial n(x).
Solution:
Polynomial equation: [tex]\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}[/tex]
[tex]\to \bold{(x -3)=0}\\\\\to \bold{x =3}\\\\[/tex]
Putting the of x into the given Polynomial function:
[tex]\to \bold{n(3) = 3(3)^4 - 9(3)^3 + (3)^2 -3(3)}\\\\\to \bold{n(3) = 3\times 81 - 9\times 27 + 9 -3 \times 3}\\\\\to \bold{n(3) = 243- 243 + 9 -9}\\\\\to \bold{n(3) = 0}\\\\[/tex]
Let divide the Polynomial function by the factor:
[tex]\to \bold{\frac{3x^4 - 9x^3 + x^2 - 3x}{x-3}}\\\\\to \bold{\frac{ x(3x^3 - 9x^2 + x - 3)}{x-3}}\\\\\to \bold{\frac{ x(3x^2(x - 3)+1(x - 3))}{x-3}}\\\\\to \bold{\frac{ x(x - 3) (3x^2+1)}{x-3}}\\\\\to \bold{x(3x^2+1)}\\\\[/tex]
So, the factors are [tex]\bold{x, (x-3),\ and \ (3x^2+1)}[/tex].
Calculation of the roots:
[tex]\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x-3=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2+1 =0}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2 = -1}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = -\frac{1}{3}}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = (- \sqrt{\frac{1}{3}})^2}\\\\[/tex]
Therefore the final answer is "Option A".
Learn more:
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PLEASE HELPP!!! (look at pic)
Answer:
1/2
Step-by-step explanation:
Answer:
1/2 of the original pizza is left over
Step-by-step explanation:
When solving this question, divide 8 by 4. That will give you one fourth of the pizza. Multiply that by three, and you will get 6. Then divide 6 by 3, to get 2 as one third of 6.
Subtract 2 from 6 to get 4
What part of 18 is 1
Answer:
1 / 18 = 5.555555555556%
Step-by-step explanation:
hope it helps
The [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.
Fraction:Let us consider that x part of 18 is equal to 1.
So that,
[tex]x*18=1\\\\x=\frac{1}{18}[/tex]
Therefore, [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.
Learn more about the fraction here:
https://brainly.com/question/78672
3+3 lol this is just to give extra points you know hope you guys help me with the actual one
If a =
-5i and b = -4x, then find the value of a+b in fully simplified form.
If a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
It is given that,a =-5i and b = -4x
We have to find the value of a+b in a fully simplified form.
We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
=a+b
= -5i-4x
Thus, if a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ2
11 of 11
The mass of the gold ever mined is 1.65 x 108 kilograms.
The mass of all the silver ever mined is 1.411 x 10 kilograms
How much more silver has been mined than gold?
Give your answer in standard form.
A glass is
1
2
full. Then 65cm3 of orange juice is poured in.
The glass is now
6
7
full. What is the total volume of the glass?
Answer:
Answer is v=182
Step-by-step explanation:
v=volume of the glass
v/2+65=6v/7
Multiply by 14
7V+910=12V
910=5V
V=182
I hope it's helpful!
A student is 1.75m tall and is trying out for the football team. He kicks the football straight up
in the air from his outstretched arms at a height of 1 m. If the ball hits him on the head on the
way back down 3 seconds later, what was the football's initial velocity?
Answer: see below
Step-by-step explanation: Initial velocity = terminal velocity. At the top of travel, the velocity is 0 as the ball is motionless. Then it travels 3 seconds (due to gravity). Grav is 9.8m/sec squared. So 1st second = 9.8m. 2nd second is 2x9.8m. 3rd second is 3x9.8m = 29.4 m/sec.
I need to get write the following expression in simplest form:5n8n+5−5n.
Answer:
5([tex]n^{9}[/tex]-n+1)
Step-by-step explanation:
FOR THE LOVE OF GOD PLEASE HELP ME I WILL GIVE 30 points
Answer:
Eliminate y by adding equations (1) and (3) because the coefficients on y are opposites. Then eliminate y by multiplying equation (1) by 2 and adding it to equation (2).
Eliminate z by subtracting equations (1) and (2) because the coefficients are the same. Then eliminate z by multiplying equation (3) by 2 and adding it to equation (1).
Step-by-step explanation:
The variables have to be the same in both equations in the 2 × 2 system.
All of this should be included
On Tuesday, the price of oranges at a grocery store was $1.20 per pound. Today, the oranges at the same grocery store are on sale at a 15% discount. What is the total price of 5 and 1/2 pounds of oranges this week at the grocery store?
A. $6.00
B. $2.50
C. $5.61
D. $1.02
Answer:
$5.61
Step-by-step explanation:
So, first of all, 15% off of 1.20 is 1.02. Then, multiply that by 5 1/2 to get $5.61.
SIBLE POINTS
The perimeter of the larger rectangle is 2 meters greater than twice the perimeter of the smaller rectangle. What is the perimeter of the larger
rectangle?
3x - 1
x + 1
4x - 5
Х
Answer:
U equal them
Step-by-step explanation:
An divide
Plz Help Me I’m confused and it’s due 5 hrs
Answer:
Talk to your school about the syntax error
Step-by-step explanation:
A group of five friends goes to a show each ticket cost nine dollars and the friends share popcorn the cost six dollars which shows the total cost?
Answer:
9x5+6
Step-by-step explanation:
5 people x $9 ticket + the $6 popcorn
1)Most GPAs are figured on a _____ scale; however, honors/advanced classes can be weighted on a _____ scale and college-level classes may be weighted up to a _____ scale.
A)4.0; 4.5; 5.0
B)2.0; 3.0; 4.0
C)1.0; 2.0; 3.0
D).5; 4.5; 6.5
-----------------------------------------
2) Which statement best describes shadow hours?
A)Shadow hours are when a student follows a professional who is working in a job that the student is interested in pursuing.
B)Shadow hours are when students work in the setting in which they will become employed.
C)Shadow hours are when a faculty member follows the student around to see if they understand the work.
-----------------------------------------------
3) Which statement best describes why colleges like to see students involved in extracurricular activities?
A)Extracurricular activities show colleges a student's academic abilities.
B)Extracurricular activities illustrate college readiness.
C)Extracurricular activities show that a student is an active well-rounded individual.
D)Colleges are not concerned with extracurricular activities.
---------------------
4) When preparing for a career in health science, it is a good idea to have _____.
a)four years of language
B)two years of math
c)four years of science
d)all of the above
-----------------------------------
5)Dental assistants, physical therapy assistants, and pharmacy techs are good examples of careers that require a(n) _____.
A)associate's degree
B)bachelor's degree
C)master's degree
d)doctoral degree
--------------------------------------------
5) To earn this degree, you need to complete coursework, teaching, and research.
A)an associate's degree
B)a bachelor's degree
C)a master's degree
D)a doctoral degree
Answer:
The first question's answer is c 1.0, 2.0, 3.0
Step-by-step explanation:
Answer:
1. A) 4.0; 4.5; 5.0
2. A) Shadow hours are when a student follows a professional who is working in a job that the student is interested in pursuing.
3. C) Extracurricular activities show that a student is an active well-rounded individual.
4. D) All of the above
5. A) Associte's degree
6) D) A Doctoral degree
I hope this helps you
solve by factorizing x² + 8x + 15 + 0
Download
GET
Algebra
Factor
Factor the polynomial.
(
x
+
3
)
(
x
+
5
)
Tap to view FREE steps...
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Factor
x
2
+
8
x
+
15
+
0
Regroup terms.
x
2
+
0
+
8
x
+
15
Add
x
2
and
0
.
x
2
+
8
x
+
15
Factor
x
2
+
8
x
+
15
using the AC method.
Tap for fewer steps...
Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
15
and whose sum is
8
.
3
,
5
Write the factored form using these integers.
(
x
+
3
)
(
x
+
5
)
Answer:
(x+3)(x+5)
Step-by-step explanation:
Emily bought a pack of 5 folders for $15.30. What was the unit price?
Answer:
The unit price is $3.06
Step-by-step explanation:
Unit price is how much I unit of something costs. Therefore in order to find the unit price you just divide the total price by the number of units (in our case 5 folders). And so we get...
$15.30 / 5 = $3.06
Help me with this thanks!
Answer:
C
Step-by-step explanation:
C is the only one that isn't increasing or decreasing
brainliest?
anyone know how to do this???
Answer:
My guess would be B
Step-by-step explanation:
I have no definite way to solve this, so i may be wrong. Take this with a grain of salt. If this assignment is graded, I suggest wait for someone elses
answer on Brainly.
Aviva deposited some amount of money at a 4% annual interest rate into her bank account. The money was left in the account for 18 months, and she did not make any more deposits.
If Aviva's money earned $240 interest after 18 months, how much money did she deposit into the account?
The amount of money that was deposited by Aviva into her bank account is $4,000.
Given the following data:
Interest rate = 4% = 0.04.Simple interest = $240.Time = 18 months.Conversion:
12 months = 1 year.
18 months = 1.5 year.
To determine the amount of money that was deposited by Aviva into her bank account:
How to calculate simple interest.Mathematically, simple interest is given by this formula:
[tex]I=PRT[/tex]
Where:
S.I is the simple interest.P is the principal or starting amount.R is the interest rate.T is the time measured in years.Substituting the given parameters into the formula, we have;
[tex]240=P \times 0.04 \times 1.5\\\\240=0.06P\\\\P=\frac{240}{0.06}[/tex]
P = $4,000.
Read more on simple interest here: brainly.com/question/24341207
Please help me solve this
(8+3a)(8−3a)=
Answer:
-9a^2+64
Step-by-step explanation:
you can buy 7 oranges for 8.50 what is the price per orange
Answer:
The price of one orande is 1.21.
Step-by-step explanation:
Answer:
Short Version: 1.21
Long Version: 1.21428571
Step-by-step explanation:
Just divide 8.50 by 7
can someone explain this to me
Caleb and Maddie are using their grandma’s oatmeal raisin cookie recipe. The recipe calls for 2 cups of flour for every 3 cups of oatmeal.
Caleb only has 1 1/2 cups of flour. How many cups of oatmeal should he use to follow the recipe correctly?
HELP QUICK!! WILL GIVE BRAINILIST
Find the value of x in the triangle shown below.
Answer:
58
Step-by-step explanation:
Since two of the sides are both 6.2, we know that this is an isosceles triangle. Thus, the two angles opposite of x are both equal (61 degrees).
The angles inside of a triangle always add up to 180, so now we have
180 = 61 + 61 + x
Solving for x, we get x = 180 - (61 + 61) = 180 - 122 = 58
Plz help me I need help asap
D) -3
because the number should be less than -2 and greater than -6
so here only -3 satisfies the condition
Solve for x -12=-32+55
Answer:
x = 35
Step-by-step explanation:
I solved for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps:)
Answer:
Step 1: Simplify both sides of the equation.
x−12=−32+55
x+−12=−32+55
x−12=(−32+55)(Combine Like Terms)
x−12=23
x−12=23
Step 2: Add 12 to both sides.
x−12+12=23+12
x=35
Answer:
x=35
Zoom in to see better
Blank one options: correct or incorrect
Blank two options: one-third, 3, one fourth, or 4
Blank three options: one fourth, 3, 4, one-third
Blank 4 options: one-twelfth, one-ninth, one-fourth
Answer:
1:Gavin is incorrect.
2:4
3: 1/4
4: 1/12
Step-by-step explanation:
A computer and printer cost a total of $900. The cost of the computer is three times the cost of the printer. Find the cost of each item.
EXPERTS!!! PLEASE HELP
Answer:
32, 47, x+17, 43
Step-by-step explanation:
just add or subtract by 17
Please help I only have an hour!! I will give brainliest!!
Answer:
the base would be 4.
Step-by-step explanation:
The base is the number underneath the exponent.:))
Hope this helped :)) Please mark Brainliest :))