Using complex numbers concepts, it is found that the statement is false.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
A complex number has the format [tex]a + bi[/tex], and it's conjugate is [tex]a - bi[/tex].In this problem:
Real root -3.Complex-conjugate roots 1 + i and 1 - i.Complex root -3 + 7i.The conjugate of -3 + 7i also has to be a root, which would make the polynomial of the 5th degree, as it would have 5 roots, thus, the statement is false.
A similar problem is given at https://brainly.com/question/24450834
What is the atomic number of an atom?
Question 3 options:
the number protons and neutrons
the number of protons
the number of electrons and neutrons
the number of neutrons
Answer:
The number of protons
Step-by-step explanation:
Its the correct answer
The graph of f(x) =In x the y axis is the _____ asymptote.
a. vertical
b. horizontal
c. oblique
explain your thinking
Answer:
a) Vertical.
Step-by-step explanation:
There is no value of ln x <= 0.
The asymptote ix x = 0 (that is the y-axis).
which expression is the additive invers of -5/8
A. 8/5
B.5/8
C. -5/8
D. -8/5
Answer:
c because it came by its formula
Simone wrote that 2 + 5.8 = 6.
Use the drop-down menus to explain why 6 is incorrect.
Answer:
2 + 5.8 cannot be 6 because 2 + 5.8 is 7.8.
Six is a correct sum to the expression 0.2 + 5.8, not 2 + 5.8.
Will give 5 points for answer
Answer:
1and 3 are not a function 2 and 4 are a function 6 not enough
Step-by-step explanation:
If f(x)= 3x-2 find x if f(x)= 19
Answer:
x=6
Step-by-step explanation:
3(6)+1=18+1=19.
Bentley is deciding between two truck rental companies. Company A charges an initial fee of $50 for the rental plus $2 per mile driven. Company B charges an initial fee of $10 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Bentley drives xx miles, and let BB represent the amount Company B would charge if Bentley drives xx miles. Graph each function and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
Company A is cheaper than Company B when x ___ _ ___
Answer:
after 41 miles A is cheaper than B
Step-by-step explanation:
not sure if this is what the question is asking for
A group of people were asked if they had run a red light in the last year. 385 responded "yes", and 472 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal accurate to at least 3 decimal places
hurry plssssss
Answer:
44.9%
Step-by-step explanation:
you can find the probability by dividing the total number of people by the number of people who have run a red light:
385/857
simplify into a decimal:
0.449
convert into a percent to get your answer:
44.9%
What is the slope-intercept equation
for the following line?
Answer:
y= 2x +7
Step-by-step explanation:
can someone please help me with this
Solve for x: x-2 =10
X - 2 = 10
To solve for x add 2 to both sides of the equal sign:
X = 12
Answer:
x = 12
Step-by-step explanation:
Add 2 to both sides of the equation
x−2=10
−2+2=10+2
Simplify
Solution:
x = 12
a homework assignment included 40 multiple choice questions Sabrina completed 65% of her assignment in David completed 4/5 of his assignment how many more questions did David complete compared to sabrina?
Answer:
6 or -6
Step-by-step explanation:
65% of 40=264/5 of 40=3232-26=6(or if you start with 26)26-32=-6Use the graph to estimate the value of y when x=2.5
Answer:
I'm guessing: The value of y is 6.5
Step-by-step explanation:
Mark 2.5 on the x-axis between 2 and 3, then draw a line to meet the graph.
Or use the table , y=3x-1
y=3(2.5)-1
y=7.5-1
y=6.5
please mark BRAINLIEST...
An election is over and a new city council member has been elected. The new councilman received 3 votes for every vote received by his opponent. The new councilman received 2763 votes. How many votes did his opponent receive?
Answer:
921
Step-by-step explanation:
If he recives 3x amount than his oppenent
than we would divided by 3 from his score to find oppponets score
so....
2763 divided by 3=921
The perimeter of a triangle is 65 cm. The
lengths of the sides are x cm, x+8 cm, and
X+ 12 cm.
What is the length, in cm, of the longest side of
the triangle?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The longest side measures :
[tex]27\: \: cm[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Perimeter of a triangle is equal to sum of measures of its all three sides, that is :
[tex]x + x + 8 + x + 12[/tex]and according to the question, the perimeter of the triangle is = 65 cm
so, let's equate both the expressions to find value of x :
[tex]x + x + 8 + x + 12 = 65[/tex][tex]3x + 20 = 65[/tex][tex]3x = 65 - 20[/tex][tex]3x = 45[/tex][tex]x = 45 \div 3[/tex][tex]x = 15[/tex]The longest side of the Triangle is :
[tex]x + 12[/tex][tex]15 + 12[/tex][tex]27 \: \: cm[/tex]27cm
Step-by-step explanation:
(xcm) + (x+8cm) + ( x+ 12cm) = 65cm
Open Bracket
xcm + x+8cm + x+12cm = 65cm
3x+ 20cm = 65cm
Collect like terms
3x = 65cm - 20cm
3x = 45cm
Divide both sides by 3
3x/3 = 45cm/3
x = 15cm
The longest side of the triangle =( x+12cm)
= (15+12)cm= 27cm
How would you solve the equation -13=-5║n║
Answer:
-13/5
Step-by-step explanation:
HELP PLS MARKING BRAINLEIST
Answer:
1
Step-by-step explanation:
5/5=1
Answer:
4/5
Step-by-step explanation:
You move up four on the y-axis and over 5 on the x-axis and it would meet the next point
Hope this Helps
ʜᴇʀᴇ ɪs ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ
Answer:
16) 19/4
17) -1
18) equiangular
19) (n-2) x 180
20) 0,1
21) sector
22) 20
23) n(n-3)/2
24) 144
25) Raw
Herman buys a pair of pants for 39.95 and a few shirts for 19.95 each. Write an equation to represent the total cost of the purchase
Answer:
39.95+(how many shirts times 19.95)
Step-by-step explanation:
Please help omg , this is so confusing and stressful if you do help I LOVE YOU
Answer:
20
40
60
80
Step-by-step explanation:
The ratios have to be equal so:
1/3 = x/60 Then use cross multiplication
3x = 60
x = 20
Second one
1/3 = x/120
3x = 120
x = 40
Third One
1/3 = x/180
3x = 180
x = 60
Fourth One
1/3 = x/240
3x = 240
x = 80
The pages of a book are numbered 1 to 200 and each leaf is 0.15 mm thick. If each cover is 2.5 mm thick, calculate the thickness of the book. give your answer in
mm , cm , m
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Thickness of the book is ~
[tex]20 \: mm = 2 \: cm = 0.02m[/tex]Refer to the attachment for solution ~
Plzzzz I need Helpppp!!!
Answer:
(8x+15)=(7x+17){ being alternative angle}
8x+15=7x+17
8x-7x=17-15
x=2
here,
8x+15= 8×2+15
16+15=31
7x+17
7×2+17
14+17
31
again
(8x+15)+y=180°( being straight angle)
31+y=180
y=180-31
y= 149
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
In the given figure, Angles (8x + 15) and (7x + 17) are equal
because they form pair of Alternate interior angles.
[tex]8x + 15 = 7x + 17[/tex][tex]8x - 7x = 17 - 15[/tex][tex]x = 2[/tex]So,
[tex]8x + 15[/tex][tex]( 8\times 2) + 15[/tex][tex]16 + 15[/tex][tex]31 \degree[/tex]now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°
[tex](8x + 15) + y = 180[/tex][tex]31 + y = 180[/tex][tex]y = 180 - 31[/tex][tex]y = 149 \degree[/tex]Penny is saving money to buy a bicycle that costs $129.89 . Each week she saves $15.75 . How many weeks will it take for Penny to save the money she needs?
Answer:
It will take roughly 8 weeks to save the money she needs
Step-by-step explanation:
129.89 ÷ 15.75 = 8.246984126984
Answer: 9 weeks
Explanation:
It would take her 9 weeks for her to save at least $129.89 with a leftover of $11.86.
George budgets $900 each month for fixed expenses. He nets $1720 semimonthly. What percent of his net monthly income does he budget for fixed expenses?
(Please help I'm VERY lost)
A. 52%
B. 26%
C. 30%
D. 25%
Answer:
B. 26%
Let say a month=30days
✓if ½ a month is 15 days
Then 30 days = 2(1720)
= $3440.00
% = (900÷3400)x100 =26%
You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles
Answer: f(x) = 1.19x, where f(x) is the total cost, and x is the cost per bottle
Cost of 15 bottles: $17.85
Step-by-step explanation:
This question describes a straightforward relation between cost per bottle, and cost for all the bottles. As such, simply equate one variable to the value of one bottle, and f(x) as the value of every bottle.
Hope it helps :) and let me know if you want me to elaborate.
P.S. f(x) can simply be substituted for "y"
Let
no of bottles be x
.The function is given by
[tex]\\ \sf\longmapsto f(x)=1.19x[/tex]
Now
Bottles=15Cost:-
[tex]\\ \sf\longmapsto f(15)[/tex]
[tex]\\ \sf\longmapsto 1.19(15)[/tex]
[tex]\\ \sf\longmapsto 17.89[/tex]
F(105)=105/7 use the following functions to find f(105)
Answer:
F(105) = 15
Step-by-step explanation:
105 ÷ 7 = 15
Hope this helps!
Round off to the nearest hundredth: 3.6789
Need help ASAP 50 points ?!!!
Answer:
pretty sure it's 11
Step-by-step explanation:
Substitute x with -44
Answer:
11
Step-by-step explanation:
f(x) = f(-44) plug in -44 for x
10 - -44/44
10 - (-1)
I do something called KFC, keep flip change
10 + 1 = 11
3x/2x simplified into racio
Answer:
Simplify the expression.
3x2/2
hope this makes sense lol
Step-by-step explanation:
Answer:
1.5 : 1 (or) 3/2
Step-by-step explanation:
Given expression,
→ 3x/2x
Let's simplify the expression,
→ 3x/2x
→ (3 ÷ 2)(x ÷ x)
→ (1.5)(1)
→ 1.5
Now the required ratio will be,
→ 3 : 2
→ 1.5 : 1
Hence, required ratio is 1.5 : 1.
To indirectly measure the distance across a river, Nolan stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Nolan draws the diagram below to show the lengths and angles that he measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.
The length of PR to the nearest foot is 198.94 feet
Find the diagram attached
From the diagram, the triangle PRE and POC are similar triangles.
Let PR = x
Based on similarity theorem;
PR/RE = PR+RO/OC
x/135 = (x+140)/230
Cross multiply
230x = 135(x+ 140)
230x = 135x + 18,900
230x - 135x = 18,900
95x = 18900
x =18900/95
x = 198.94
Hence the length of PR to the nearest foot is 198.94 feet
Learn more here: https://brainly.com/question/19892143