Answer:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
Step-by-step explanation:
Complex numbers:
The following relation is important for complex numbers:
[tex]i^2 = -1[/tex]
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Has zeros −19 and −i
If -i is a zero, its conjugate i is also a zero. So
[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]
Output of 40 when x=1
This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So
[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]
[tex]40 = a(20)(2)[/tex]
[tex]40a = 40[/tex]
[tex]a = 1[/tex]
The polynomial is:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
Which expression is equal to x + (f+g)? (1 point)
Answer:
x + f(x) + g(x)
Step-by-step explanation:
(f+g) = f(x) + g(x)
Therefore, x + (f+g) = x + f(x) + g(x)
If you are given equations to go with f(x) and g(x), you would plug in those equations to the above expression then combine like terms to find the fully simplified expression equal to x + (f+g).
What two numbers are exactly four units away from 6
Answer:
2 and 10
Step-by-step explanation:
6+4=10, and 6-4=2.
The number four units away from 6 are 2 and 10 and are represented below the number line.
What is a number line?The number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Given that,
Four units away from 6
Four units higher →
6 + 4 = 10
Four units lower →
6 - 4 = 2
In the below number line, it is shown diagrammatically.
Hence "The number four units away from 6 are 2 and 10 and are represented below the number line".
To learn more about the number line,
https://brainly.com/question/13189025
#SPJ5
Isaiah decided to build a fence around his property. He lives on a rectangular lot 70 feet long and 50 feet wide. How many feet of fence does he need to buy?
Answer:250 feet
Step-by-step explanation: a rectangle has four sides, now you have two numbers, 70 and 50. so you do 4÷2 = 2 now take 2 a multiply it 70(140) now do it with 50(100) now add em (250) it is how i do it
9.
A. 7
B. 15
C. 12
D
Answer: d=20?
Step-by-step explanation:
There are 420 students at Virginia Middle School. The ratio of girls to boys is 4 to 3. HELPPPPPPPP
Answer:
60 more girls are there than boys at Virginia Middle School.a group of preschoolers has 31 boys and 37 girls. What is the ratio of girls to boys
Answer:
37:31 or any other way of writing 37 to 31
Step-by-step explanation:
Write the ratio the same way the question asks, there are 37 girls and 31 boys. This cannot be simplified.
A cone has a radius of 10 meters and a height of 5 meters. What is the volume of the cone to the nearest cubic meter? Use 3.14 for
Answer:
523.3
Step-by-step explanation:
The volume of a cone is 1/3 hB where h is the height and B is the area of the base.
Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314
Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3
How many moles are in 9.03 x 1023 Li atoms?
please help me
Answer:
1.5 moles
Step-by-step explanation:
number of moles = no. of particles / Avagadro number
therefore, number of moles. = 9.033 * 10^23 / 6.022 * 10^23
therefore, no. of moles = 1.5
There are 1.5 moles in 9.033 * 10^23 Lithium atoms.
Help me please I give brainliest and be serious
Answer:
15, y = 1/2x + 3.75
Step-by-step explanation:
Am not 100% sure but for #15
cuz I graphed it & it looks alike
Which algebraic expression is a polynomial with a degree of 5?
3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5
refer to the image thank you
Answer:
C I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the answer to this
A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was launched. What is the average rate of change of the height of the rocket during its descent?
A. -32 ft/sec
B. -24 ft/sec
C. -64/3 ft/sec
D. -16 ft/sec
Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:
D. -16 ft/sec
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:
r = -48 ft/3 s = -16 ft/s
Hence option D is correct.
More can be learned about the average rate of change at https://brainly.com/question/24313700
cara played a card game using a deck of 52 cards after she dealt the same number of cards to 4 players she had 24 cards left over how many cards did each player get
Answer:
7Step-by-step explanation:
Assume each player get x cards. Total number of cards now is 4x+24=52.
Therefore, 4x=52-24=28.
Then, x= 28/4=7.
which rule descibes the pattern?
Answer:
-1/2
Step-by-step explanation:
I think not 100% sure tho
Answer:
“multiply by 2 and then subtract 1.
Step-by-step explanation:
Find the total surface area of the number
cube.
2 in.
2 in.
2 in.
Answer: 24 Inches
Step-by-step explanation:
Amar thinks of a number If he takes away 6 from ⅔ ? of number, the result is
22. Find the number.
Let's assume the number as x
According to the question,
2/3x-6=22
2x-6=22×3
2x= 66-6
2x=60
x=60/2=30
Therefore, as x=30, The number is 30 itself.
please help me solve this problem!!
Answer:
here's the link to the answer
Step-by-step explanation:
WWW.math.com/int.etg
The linear function f(x) = 0 5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function 9(x) represents the average test score in your science
class, where x is the number of the test taken.
x 0x)
1 81
283
3 85
Part A: Determine the test average for your math class after completing test 2.
Part B: Determine the test average for your science class after the completing test 2.
Part C: Which class had a higher average after completing test 4? Show work to support your answer
Answer:
more information
Step-by-step explanation:
The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in
Answer:
height be 4 in
length be 9 in
ANd, the width be 7 in
Step-by-step explanation:
Let us assume the height of the box be x
So the length would be 2x + 1
And, the width be x + 3
As we know that
The volume of the rectangular box = length × width × height
252 = (2x + 1) × (x + 3) × (x)
252 = (2x^2 + x) × (x + 3)
252 = 2x^3 + 6x^2 + x^2 + 3x
2x^3 + 7x^2 + 3x = 252
2x^3 + 7x^2 + 3x - 252 = 0
after solving this
x = 4
So height be 4 in
length be 9 in
ANd, the width be 7 in
What are the three ordered pairs that should be in the table of values y=2x-3
Answer:
(-2, -7), (0, -3), (2, 1)
Step-by-step explanation:
Equation is given as y = 2x - 3.
To complete the table, plug in each value of x into y = 2x - 3 to get their corresponding y-value.
✔️When x = -2:
y = 2(-2) - 3
y = -4 - 3
y = -7
✔️When x = 0:
y = 2(0) - 3
y = -3
✔️When x = 2:
y = 2(2) - 3
y = 4 - 3
y = 1
[tex]4x + 2x = 20 \\ x + 3x = 50[/tex]
simotenus equation
Answer:
I think there is an error in the question, I assume it reads:
4x+2y=20
x+3y=50
If not, please make appropriate corrections to the question.
Answer: x=-4, y=18
Step-by-step explanation:
4x+2y=20
Simplify, divide by two,
2x+y=10.....................(1)
x+3y=50....................(2)
Multiply (2) by 2
2x+6y=100 ....................(2a)
Subtract (1) from (2a)
2x+6y - (2x+y) = 100 - 10
5y = 90
y=18..............................(3)
Substitute (3) into (1)
2x+(18)=10
2x = 10-18 =-8
x=-4 ............................(4)
Substitute (3) and (4) into (1) for verification
2x+y = 2(-4)+18 = 18-10 = 10 checks.
Substitute (3) and (4) into (2) for verification
x+3y=-4+3(18) = -4+54 = 50 checks.
Have a nice day!
Please no links just the letter answer and explanation please
Answer:
-6.5 degrees/km
Step-by-step explanation:
I couldn't rlly find the answer myself, but this quizzis link has it. Question 7 on the quizzis btw https://quizizz.com/admin/quiz/5cbe6de57d6ff2001bf22fc3/2019-algebra-i-staar-review-day-2
The formula for the volume of a pyramid is V=1/3 Bh. What is h expressed in in terms of B and V?
V = 1/3 * B * h /*3
V * 3 = B * h /B
V * 3 / B = h
h = V * 3 / B
How many different 12 member juries can be chosen from a pool of 20 people?
Answer:
1,007,760
Step-by-step explanation:
This is a question that bothers on selection
Using the combination formula
nCr = n!/(n-r)!r!
20C12 = 20!/(20-12)!12!
20C12 = 20!/8!12!
20C12 = 20*19*18*17*16*15*14*13*12!/8!12!
20C12 = 20*19*18*17*16*15*14*13/8!
20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2
20C12 = 5,079,110,400/5040
20C12 = 1,007,760
Hence this can be done 1,007,760 different ways
What is 5/8 divided by 1/4
001
001
00
100
001
00
001
IN
A
0 1
Answer:
Exact form: 5/2
Decimal form: 2.5
Mixed number form: 2 and 1/2
Step-by-step explanation:
when you divide a fraction you keep, change, flip
Equation: 5/8 ÷ 1/4
keep 5/8 the same
change the divide symbol into a multipulcation symbol
flip 1/4 the other way, so it's 4/1 (it's a whole number now)
then just multiply across
Equation now: 5/8 × 4/1
i need help <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3\
Answer:
the cordnate for X is 2 the cordnate for Y is -2
Answer: the coordinate for X is 2 the coordinate for Y is -2.
Step-by-step explanation:
I need help with this !
Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)
a = 12 m
b = 5 m
c = 13 m
P = 30 m
s = 15 m
K = 30 m2
ha = 5 m
hb = 12 m
hc = 4.6153846153846 m
Step-by-step explanation:
Coach Abernathy has 12 boys in his class of 30 kids which of the following classes has a class that has the same proportion of boys to girls
Answer:
Step-by-step explanation:
7) Find 18th term of the arithmetic sequence:
{13, 8, 3, -2, -7, ...}
Tysm
13-8=5
8-5=3
3-5=-2
-2-5=-7
etc.
Just keep subtracting 5 until you have the 18th term
---
hope it helps
Answer:
-77
Step-by-step explanation:
Reasoning:
Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77