Answer:
B. f(x) = x^4 -19x^2 +244x -928
Step-by-step explanation:
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
4, -8, and 2 + 5i
A.) f(x) = x^4 - 6x^3 - 20x^2 + 122x - 928
B.) f(x) = x^4 - 19x^2 + 244x - 928
C.) f(x) = x^4 - 6x^3 + 20x^2 - 122x + 928
D.) f(x) = f(x) = x^4 - 61x^2 + 244x - 928
A polynomial function with real coefficients has complex roots in both conjugates, hence the minimum polynomial is of the 4th degree with roots
4, -8, 2 + 5i, 2 - 5i
A polynomial can be found by expanding the following factors:
P(x) = (x-4)(x+8)(x-2-5i)(x-2+5i)
= (x-4)(x+8)(x^2-4x+29)
= x^4 -19x^2 +244x -928
______ × 1.3 = 1.56 can you help me please
Answer:
1.2
Step-by-step explanation:
to get the answer divide 1.56/1.3=1.2
1.2*1.3=1.56
Answer: 1.2
Step-by-step explanation:
Divide both sides of the equation by 1.3
X=1.56/1.3
X=1.2
Plug in 1.2 x 1.3 = 1.56
What are the non permissible values of (2n-5)/(3n+1)
Answer:
n= -1/3
Step-by-step explanation:
To find non permissible values (npv), focus on the denominator of an expression
In this case, the denominator is: (3n+1)
The npv is basically the value that would make the expression equal to 0
So, make the expression in the denominator equal 0
3n+1 = 0
Solve for n
3n= -1
n = (-1/3)
Thus, the npv for this equation is n= -1/3
Please answer this question now in two minutes
I hope this helps you
x+x-47=x+42
x=42+47
x=89°
Hey there! :)
Answer:
x = 89°.
Step-by-step explanation:
x + 42 is supplementary to the inside angle at the top of the triangle, so:
The top angle of the triangle is equal to:
180 - x - 42.
All of the angles in a triangle add up to 180°, therefore:
180 = x + x - 47 + 180 - x - 42
Combine like terms:
180 = 2x + 133 - x - 42
180 = x + 91
Subtract 91 from both sides:
89 = x.
Therefore, x = 89°.
TRUE OR FALSE:
An isosceles trapezoid is a trapezoid with congruent legs.
Answer:
True
Step-by-step explanation:
If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.
Answer:
the correct answer is true
Step-by-step explanation:
An isosceles trapezoid is a trapezoid with congruent legs.=true
hope this helps you!!!!!!!!!!
passes through ( 4,10 ) and has vertex (0,0) PLSSS HELP !!!
Answer:
x^2-4x
Hope this helps
Also, thanks for 13 points
Which of the following expressions is not equal to the others? 4ax2y 8ax y 2ayx4a ax 8y
Answer: 2ayx4a
Step-by-step explanation:
1) First, we will need to simplify each equation:
4ax2y = 8axy
8axy = 8axy
2ayx4a = 8ayx4a
ax8y = 8axy
2) We can now see that 2ayx4a is not the same as the others.
Harry goes to Hogwarts School of Witchcraft and Wizardry. He can travel to school and back in 333 different ways: by the Hogwarts Express, a flying car, or the Knight Bus. He's decided to choose his methods of transportation to and from Hogwarts at random this year. Which of these tables lists all the different ways Harry can get to Hogwarts and back? (Each row represents one outcome.) Choose all answers that apply: Choose all answers that apply:
Answer:
its table A and B
Step-by-step explanation:
Answer:
both answers
Step-by-step explanation:
BRAINLIEST IF YOU HELP the correct simplification of 7x2(6x + 3x2 − 4)? A 21x4 − 42x3 + 28x2 B 42x4 + 21x3 − 3x2 C 21x4 + 42x3 − 28x2 D 42x4 − 13x3 + 11x2
[tex]\text{Simplify:}\\\\7x^2(6x + 3x^2- 4)\\\\\text{Use the distributive property:}\\\\42x^3+21x^4-28x^2\\\\\text{You can arrange them by exponent}\\\\21x^4+42x^3-28x^2\\\\\text{This means that your answer will be C).} 21x^4 + 42x^3 - 28x^2\\\\\boxed{\text{C).}\,\,21x^4 + 42x^3 - 28x^2}[/tex]
Answer:
It is C
Step-by-step explanation:
1 1/4 3 1/2. additon
Answer:
19/4
Step-by-step explanation:
First convert 1 1/4 into a improper fraction:
5/4
Then convert 3 1/2 into a improper fraction:
7/2
Now find the LCM of both denominators:
4
Now multiply the fractions such that the denominators are equal to 4:
5/4 x 1/1 = 5/4
7/2 x 2/2 = 14/4
Now add the numerators:
5 + 14 = 19
Now put the numerator and denominator together to get:
19/4
Answer:
4 3/4
Step-by-step explanation:
1 1/4 +3 1/2 =
5/4 + 7/2=
5/4 + 14/4=
19/4= 4 3/4
Find the product: (5x + 5y) (x + 4y)
A. 4x2 +22ry - 12y2
B.5x2+ 20y2
c.5x2 + 25xy + 20y2
D. 35x2 - 54ry + 16y2
Answer:
c
Step-by-step explanation:
y=-4x-5 y=3x-2 is (3,7) a solution of the system?
Answer:
No
Step-by-step explanation:
Does (3, 7) satisfy the first equation, y = -4x - 5? Is 7 = -4(3) - 5 true? NO. Thus, (3, 7) cannot be a solution of the system
y=-4x-5
y=3x-2
The given point (3, 7) is not the solution in the given case.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given equations are as follows,
y = -4x - 5 (1)
y = 3x - 2 (2)
In order to find whether (3,7) is the solution for them, substitute x = 3 and y = 7 in both the equations and check the LHS and RHS of both.
For equation (1),
y = -4x - 5
LHS is y = 7
RHS = -4x - 5
= -4 × 3 - 5
= -17
Since, LHS ≠ RHS, the given values of x and y are not the solution for the given equation.
Now, equation(2) need not to be checked as the result for the given values is already not valid for equation(1).
Hence, the given coordinate (3,7) is not the solution for the given equations.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
This school is also thinking of changing their mascot to an armadillo. To change mascot, a 55% supermajority is needed. How many of the 240 students need to vote "yes" for the mascot to change
Answer:
132 students
Step-by-step explanation:
100% means all of something, so 100% can also be written as 1.00
Since we need 55% of 240, we can multiply 240 by 0.55 and get 132.
Try to answer the following question without running the code in Python:
If we run the following program:
a = 2 + 6
b = 7 % 3
c = a - b
c = c * 5
print(c)
what gets printed?
Answer:
35
Step-by-step explanation:
Given
the above lines of code
Required
What's the output
We'll analyze the code line by line
a = 2 + 6
At this point a = 8
b = 7 % 3
At this point b = 1. This is so because, the remainder of 7%3 is 1
c = a - b
At this point c = 7;
This is calculated by c = 8 - 1 = 7
c = c * 5
At this point; c = 35
This is calculated by: c = 7 * 5 = 35
print(c)
The value of c, which is 35 is printed
Use the Fundamental Theorem of Algebra to explain how many roots your expression can have. How many real roots and how many complex roots are possible? (x+3)^10
Answer:
We have the relation:
(x + 3)^10
As the degree of the polynomial is 10, we know that we can have 10 roots.
The theorem says that this has at least one complex root.
As you know, this is actually trivial, because for example, 4 can be a complex number with an imaginary part equal to zero.
In this case, the polynomial is only zero if we have x = 3.
Then we have 10 roots that are equal to x = 3.
and those 10 roots can be real, or we can have 10 roots equal to 3 + 0*i, that is a complex number.
Please answer this in two minutes fast
Answer:
(16,4)
Step-by-step explanation:
To go from M to S
(-4, 2.5)
Reverse
(16,4)
Answer:
work is shown and pictured
Please answer this question now fast in two minutes
Answer:
2 or 3
Step-by-step explanation:
2 is one of them
3 is another of them
Find the distance along an arc on the surface of the earth that subtends a central angle of 6 minutes (1 minute = 1/60 degree). The radius of the earth is 3960 miles.
Answer:
The distance is 6.9115 miles.
Step-by-step explanation:
To solve this problem we can use a rule of three.
The length of a circumference is 2*pi*r, and if we have a fraction of the whole arc, we have that:
360 degrees -> arc of 2*pi*r
6 * (1/60) degrees -> arc of x
So we have that:
[tex]x * 360 = (1/10) * 2*\pi*r[/tex]
[tex]x = (1/10) * 2 * \pi * 3960 / 360[/tex]
[tex]x = (1/5) * \pi * 11[/tex]
[tex]x = (11/5)*\pi = 6.9115\ miles[/tex]
The distance is 6.9115 miles.
A shop advertises 10% off its prices in a sale.
A book is £6.30 in the sale
How much was it before the price reduction?
Answer:
£7
Step-by-step explanation:
Since the sale is 10% the original price, every item is being sold for 90% of its original price. Now the problem is: £6.30 is 90% of what number?
Let x = original price before sale
6.30 = 0.9x
0.9x = 6.3
Divide both sides by 0.9
x = 6.3/0.9
x = 7
Answer: £7
Simplify the following expression.
(2x – 3)(5x⁴ – 7x³ + 6x² – 9)
Answer:
10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27
Step-by-step explanation:
All we have to do is distribute both terms of the binomial into the polynomial and combine like terms.
10x⁵ - 14x⁴ + 12x³ - 18x - 15x⁴ + 21x³ - 18x² + 27
10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27
Identify any outlier(s) in the data.
{79, 75, 125, 61, 78, 63, 88, 76, 68, 82, 67}
Step-by-step explanation:
In my opinion 125 is an outlier because it is the only 3 digit number
two angles of a triangle measure 27 degrees and 17 degrees what is the measure of the third angle? A) 146 degrees B) 136 degrees C) 46 degrees D) 44 degrees
Answer:
The third angle is 136
Step-by-step explanation:
The three angles of a triangle add to 180
27+17+x = 170
Combine like terms
44+x = 180
Subtract 44 from each side
44+x-44 =180-44
x =136
Answer:
136° is the answer.
Step-by-step explanation:
given ,
1st angle=27°
2nd angle= 17°
let the third angle be x
then ,x+27°+17°=180°
or x+44°=180°
or, x=180_44
therefore the value of x is 136°.
what is the equation of the line with the coordinates (-10,-7) and (-5,-9)
Answer:
y = − 2/5x − 11
Step-by-step explanation:
To answer this, we need to put it into y = mx + b form. First, we need to find the slope. The equation for that is:
[tex]m = \frac{-9 - (-7)}{-5 - (-10)}[/tex]
[tex]m = -\frac{2}{5}[/tex]
We now have the slope. Now, we need to figure out b, or the y-intercept. Using y = mx + b, we substitute the slope and an x value (it doesn't matter whether it's -10 or -5, but let's use -10 for now) and a y value (same thing).
[tex]-7 = (-\frac{2}{5})(-10) + b[/tex]
[tex]b = -11[/tex]
All that's left to do is plug it in! Our final answer is:
[tex]y = - \frac{2}{5}x - 11[/tex]
Answer:
[tex]y = - \frac{2}{5} x - 11 [/tex]
Step-by-step explanation:
[tex] (-10,-7) and (-5,-9) \\ x_{1} = - 10 \\ y_{1} = - 7 \\ x_{2} = - 5 \\ y_{2} = - 9[/tex]
[tex] \frac{y - y_{1}}{x -x_{1} } = \frac{y_{2} -y_{1}}{x_{2} - x_{1} } \\ \frac{y -( - 7) }{x - ( - 10)} = \frac{ - 9 - ( - 7)}{ - 5 - ( - 10)} \\ [/tex]
[tex]\frac{y + 7}{x + 10} = \frac{ - 2}{5} \\ cross \: multiply \\ 5(y + 7) = - 2(x + 10) \\ 5y + 35 = - 2x - 20[/tex]
[tex]collect \: like \: terms \: \\ 5y = - 2x - 20 - 35 \\ 5y = - 2x - 55 \\ \frac{ 5y = - 2x - 55}{ 5} \\[/tex]
[tex]y = - \frac{2}{5} x - 11[/tex]
write the equation of the circle with its center at (-7, 8) and a radius of 9.
Answer:
(x + 7)^2 + (y - 8)^2 = 81.
Step-by-step explanation:
According to the diagram below, the equation of a circle is (x - h)^2 + (y - k)^2 = r^2.
In this case, h = -7, k = 8, and r = 9.
(x - -7)^2 + (y - 8)^2 = 9^2
(x + 7)^2 + (y - 8)^2 = 81.
Hope this helps!
Answer:
(x + 7)² + (y - 8)² = 81
Step-by-step explanation:
The equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
We can plug in the values given, since we are given the center coordinates and radius value:
(x - h)² + (y - k)² = r²
Plug in the center coordinates:
(x + 7)² + (y - 8)² = r²
Plug in the radius:
(x + 7)² + (y - 8)² = 9²
(x + 7)² + (y - 8)² = 81
The equation will be (x + 7)² + (y - 8)² = 81
Solve each system by the addition method.
2x + 4y = 28
X - 2y = 10
Put your answer in ordered pair (x, y) form.
When solving a system by addition, our goal is to cancel out one of the variables by adding the two equations together.
Notice that if we add these two equations together,
neither one of our variables will cancel out.
In this situation, we need to set things up so that when we do add
our two equations together, one of our variables will cancel out.
Notice that we have a 2x in our first equation.
If we had a -2 in our second equation,
then the x's would cancel out.
In order to create a -2x in the second equation,
we simply multiply both sides of the second equation by -2.
So we have (-2)(x - 2y) = (10)(-2).
Rewriting both equations, we have 2x + 4y = 28 and for
our second equation we have -2x + 4y = -20.
Now when we add our two equations together,
our x terms will cancel out and were left with 8y = 8.
Dividing both sides by 8, y = 1.
To solve for x, substitute a 1 in for y
in either one of the two equations.
So let's go with our first equation.
If we substitute a 1 in for y, we have 2x + 4(1) = 28.
4(1) is 1 according to the identity property of multiplication.
So we have 2x + 4 = 28.
Now subtract 4 from both sides to get 2x = 24.
Now divide both sides by 2 and x = 12.
Now put your answer in the form of the ordered pair {12, 1}.
Trapezoid PQRS is the image of a trapezoid ABCD after a sequence of translations.
Hint: The shapes are congruent (identical).
Tell whether each statement is True or False.
Answer:
All are true except d
Step-by-step explanation:
● a
Since both shapes are congruent, the sides AB and PQ are identical. They have the same length
● b
The same goes for these sides. They are indentical.
● c
The angles B and Q are indentical so they have the same size.
● d
The angles c and p aren't identical.
● e
Since both shapes are trapezoids
AD and BC are parallel and the same goes for PS and Qr
***plss help BRAINLIEST IF ANSWERED**
Circle D is shown with the measures of the minor arcs. Which angles are
congruent?
<EDH and <EDF
<EDF and <FDG
<FDG and <GDH
<GDH and <EDF
Answer:
<EDF and <FDG
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Answer:
<EDF AND <FDG
Step-by-step explanation:
JUST took the form
Gill has five boxes that contain only red and yellow counters.
She takes a counter from a box without looking.
If the probability that she takes a red counter is 0.7, which box did she take it from? (1 mark)
Answer:
Box e
Step-by-step explanation:
14/20=0.7
The difference in the X coordinates of two points is three and the difference in the Y coordinate is two points is six what is the slope of the line that passes through the points
Answer: The slope is 2.
Step-by-step explanation: Slope is Rise/Run
The rise is the difference in y-values, given as 6.
The Run is the difference in x-values, given as 3
6/3 = 2
Which interval for the graft function has a local minimum of zero?
Answer:
[2,4]
Step-by-step explanation:
I NEED HELP PLEASE, THANKS! :)
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expected population of each country in 2025, assuming their annual growth rates remain steady. Show work.
Answer: see below
Step-by-step explanation:
Use the Exponential function: y = a(b)ˣ where
y = expected populationa = initial populationb = growth rate in decimal form (remember to add 100%)x = number of years[tex]\underline{\text{Australia:}}\\y=19,169,000(1.006)^5\\=\large\boxed{19,751,012}\\\\\\\underline{\text{China:}}\\y=1,261,832,000(1.009)^5\\=\large\boxed{1,319,645,764}\\\\\\\underline{\text{Mexico:}}\\y=100,350,000(1.018)^5\\=\large\boxed{109,712,539}\\\\\\\underline{\text{Zaire:}}\\y=51,965,000(1.031)^5\\=\large\boxed{60,534,681}[/tex]