A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the polynomial equation?
Using complex numbers and radicals, it is found that the correct option is C.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
Hence, since 8i is a root of the function, -8i is also a root.The same is valid for radicals, as they are in the [tex]\pm[/tex] format.
Since [tex]7 - \sqrt{5}[/tex] is a root, [tex]7 + \sqrt{5}[/tex] is also a root.Hence, option C is correct.
For more on complex numbers and radicals, you can check https://brainly.com/question/25173944
The slope of a line is −3, and a point on the line is (4,−1).
Question 1
Part A
What is the equation of the line expressed in slope-intercept form?
Answer:
Y= -3x + 11
Step-by-step explanation:
Y= -3x + 11 (-3x is your slope and 11 is your y intercept)
find the domain of y= 2/3 square root of x+5-4
A triangle has an area of 16in^2 and a height of 4in. What is the length of the base?
Answer:
8 inches
Step-by-step explanation:
The area of a triangle is:
a = 1/2 × b × h
b = length of the baseh = heightWe can sub in the values we know:
16in² = 1/2 × b × 4in
To find b, we divide both sides by 1/2 and 4in:
16in² ÷ (1/2 × 4in) = b
16in² ÷ 2in = b
b = 8in
Hope this helps!
HELP ME PLEASE 20 POINTS
In a certain chemical the ratio of zinc to copper is 4 to 17 a jar of the chemical contains 595 grams of copper. How many grams of zinc does it contain
Answer:93 grams Zinc
Step-by-step explanation:3 Zinc : 13 Copper
x 31 x 31
93 Zinc, 403 Copper
or
set up a proportion, cross multiply, and solve for the variable:
3(403) = 13(x)
3(31) = x
93 = x
a
The eighth-grade class has a total of 162 students. The students need to be
divided evenly into homerooms. There needs to be at least 20 students in
each homeroom. List all the possible combinations. Which combination
makes the most sense? Explain.
Answer:
162/20 Would be your answer, however, it wouldn't make sense as you can not switch students into decimals. Therefore, you could make 7 classes of 20, and one of 22, and 6 classes of 20, and two of 21. Therefore, there are two combinations that are possible.
Step-by-step explanation:
Refer to the answer.
Answer:
56
Step-by-step explanation:
HELP PLZZ! DUE IN 15 MIN!! plz explain your answer to
Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.
Hoped this helped
[tex]BrainiacUser1357[/tex]
In the past year Jina watched 36 movies that she thought were very good. She watched 60 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answer:
It is 21.6
hope this helps
A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)
What is the area of the sector ?
Answer:
8πcm² = 8pi cm²
Step-by-step explanation
The formula for area of a sector = ½r²θ
Where r = radius = 6cm
θ = central angle = 4pi/9 in radians = 4π/9
Area of the sector = 1/2 × 6² × 4π/9
Area of the sector = (144π/18)cm²
Area of the sector = 8πcm²
Therefore, Area of the sector =
8πcm² = 8pi cm²
If a bank represents deposits with positive numbers and withdrawals as negative numbers, what could 10 + (-60) represent?
Answer:
A $10 deposit followed by a $60 withdrawal
Step-by-step explanation:
The 10 is positive, so it would represent a deposit, and the 60 is negative, so it would represent a withdrawal.
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
See belowStep-by-step explanation:
1)
x + 5 = 12, subtract 5 from both sides
x = 7
Subtraction property of equality
a = ba - c = b - c2)
x + y = 20 and y = 5, substitute 5 into first equation
x + 5 = 20
Substitution property of equality
a + b = c and b = da + d = c3)
2x - 3 = 11, interchange the sides of equality
11 = 2x - 3
Symmetric property of equality
a = bb = aAnswer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
how much is 3 liters in 50 bottles
Answer : 0.06 liters per bottle
Step - by - step explanation :
3 liters divided by 50 bottles = 0.06 liters per bottle
[ Sorry if this wasn't what you meant when you asked the question ]
Happy holidays ! :3
Can someone help me with this question
Answer:
what is the lesson? abot?
Step-by-step explanation:
The value of y varies directly with x.
When y=3, x=1.
What is the value of y when x is 4?
12
3/4
4 1/3
8
Answer:
12
Step-by-step explanation:
x = 1 y = 3, x = 2 y = 6, x = 3 y = 9, x = 4 y = 12
Answer:
12
Step-by-step explanation:
if x=1 , y =3
if x=4 then y=3×4=12
y=12
10x + 4y = 16 in slope intercept form
Show your work please
[tex]10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}[/tex]
Answer:
y = - 2.5x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
10x + 4y = 16 ( subtract 10x from both sides )
4y = - 10x + 16 ( divide through by 4 )
y = [tex]\frac{-10}{4}[/tex] x + 4 , that is
y = - 2.5x + 4 ← in slope- intercept form
what is s and what is t?
Answer:
Step-by-step explanation:
S = 2
T = -2
so in S - T = 4. 2 - -2 = 4
IN S + T = 2 S + - 2 = 2
find the perimeter of a rectangle whose length is 4cm greater than its height, and whose area is 60 cm^2.
Answer:
32
Step-by-step explanation:
x=6
and it's x+x+(x+4)+(x+4)
Answer:
80cm
Step-by-step explanation:
Lets have height be x
Then the length would be x+4
So the area would be x*x+4=60
Solve: 2x+4=60, 2x=36, x=18
The height is 18 so the length is 22
The perimeter=18*2+22*2
Result: 80cm
In the opposite figure : The perimeter of triangle ABC = ..... cm.
(a)123.5
(b) 375
(c) 98.5
(d) 108.5
Answer:
d 108.5
Step-by-step explanation:
assuming that the two angles with this dot * are equal...we can look for their sizes... by using SOHCAHTOA
SO I use tan
tan∅= opposite/adjacent
tan∅= 30/40 = 0.75.......then find the inverse you get 36.87......angles in a triangle adds up to 180.... * =26.57
use SOHCAHTOA again to get ungiven sides
then add ABC to get 108.54 cm as your answer.
I hope this is helping
An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?
Number of ice cream produced before = 45
Number of ice cream produced after = 54
Find:Percent of speed the machine increase
Computation:Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before
Percent of speed the machine increase = [(54 - 45) / 45]100
Percent of speed the machine increase = [9 / 45]100
Percent of speed the machine increase = 20%
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Percent of speed the machine increase is 20%
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and g (x) = x-5/2 to determine if f(x) and g(x) are inverse of each other.
Answer:
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and to determine if f(x) and g(x) are inverses of each other?
It is very difficult to know because you did not include the function g(x), you only gave us f(x).
Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.
f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list
f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list
f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list
So even though you didn’t list g(x), g(x) = (x/2) - 5/2
W
Enter the value of x-21.
(x - 21)
71
The area of the parallelogram is 17.6cm. What is the length of the base
Answer:
hope it helps
area of parallelogram: base × height = 17.6 cm sq
⇒ 4 × h = 17.6
⇒ h = 17.6/4
⇒ h = 4.4 cm
Step-by-step explanation:
The height of the parallelogram is 4.4 cm.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, a area of a parallelogram is 17.6 cm² and its base is 4cm.
We know that, the area of parallelogram is Base × Height
Now, 17.6 =4× Height
Height =17.6/4
Height =4.4 cm
Therefore, the height of the parallelogram is 4.4 cm.
Learn more about the area here:
https://brainly.com/question/27683633.
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"Your question is incomplete, probably the complete question/missing part is:"
If a area of a parallelogram is 17.6 cm square and its base is 4cm, find its corresponding height .
What's the answer to the picture I cant figure it out...
Answer:
(p.s area is [tex]a[/tex])
To find the area of a rectangular prism you multiply [tex]l*w*h[/tex]
So then we multiply [tex]4*2*3[/tex] to get 24 the answer is
[tex]a=24[/tex]
brainliest pls
How do I solve for X
Answer:
ask crohme it knows the answer
pls help me pls help me pls help me
Answer:
d. 210
Step-by-step explanation:
well for the first textbook you have 7 options
for the 2nd placeholder you have 6 options
and the 3rd you have 5
so its 7x6x5 which is 210 different combinations
thx for 50 points :D
Solve for a.
4(a +3) = 12 + 40
=
-3
-1
no solution
all real numbers
Answer: All real numbers.
Step-by-step explanation:
4(a+3) = 12 + 4a
4a + 12 = 12 + 4a
Any value of a will work in this equation, since it is a simple identity. 4a + 12 will always equal 4a + 12, regardless of a.
All real numbers, although I don't know why imaginary numbers wouldn't also work.
HELP HELP HELP HELP HELP What is the range of the data shown in this stem-and-leaf plot?
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
======================================================
Explanation:
The smallest data value is 13. This is due to the stem 1 and leaf 3.
The largest is 47. This is from the stem 4 and leaf 7.
The span between these items is 47-13 = 34
If the population of Centertown is currently 4,600 and it grows by 200 people each year, when will the population double?
After 23 years
hope this is helpful!
write a polynomial function in standard form with the given zeros x=1,-1,-2
Answer:
y = x³ +2x² -x -2
Step-by-step explanation:
A polynomial with root q has a factor (x -q). The factored form of the polynomial is ...
y = (x -1)(x +1)(x +2)
y = (x² -1)(x +2) . . . . . . partial simplification
y = x³ +2x² -x -2
What is an included angle and an included side?
A: Included Angle: A 90 deg angle
Included Side: The longest
side
B: Included Angle: An angle between two angles
Included Side: A side between two sides
C: Included Angle: An angle between two sides.
Included Side: A side between two angles
Answer:
C
Step-by-step explanation: