Polynomial is an expression that consists of indeterminates(variable) and coefficients. The degree of the polynomial will be 5.
What are polynomials?
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively, can be written as,
[tex](x-0)^2(x+3)^1(x-2)^2\\\\= x^2(x+3)(x^2+4-4x)\\\\=(x^3+3x^2)(x^2+4-4x)\\\\=x^5 +4x^3-4x^4+3x^4+12x^2-12x^3\\\\=x^5 -x^4-8x^3+12x^2\\[/tex]
Hence, the degree of the polynomial will be 5.
Learn more about Polynomial:
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The height of 14-year-old boys in the United States is normally distributed with a mean of 64.5 in, and a standard deviation of 3.1 in.
Label the normal curve by entering the value at each standard deviation in the box.
Answer:
61.4-67.6 - 68.37% likely to fall within this range.
58.3-70.7 - 95.45% likely to fall within this range.
55.2-73.8 - 99.73% likely to fall within this range.
Step-by-step explanation:
Is this adjacent, vertical, linear, or complimentary?
Answer:
the adjacent is compimentary
Step-by-step explanation:
because I passed
Helpppppppppppppppp
find x
Answer:
Answer is √2+11/2
And you can use calculator to get even more accurate answer though...
Step-by-step explanation:
this is what i get i hope this will hepl you ♡
No spammers pls and also giving brainliest to correct answer
Answer:
C. (5 , 6)
Step-by-step explanation:
a dilation of center O(0,0) and 3 as a scale factor :
Transform point (x , y) to point (3x , 3y)
Then it transforms R(1 , 2) to R’(3 , 6)
Now ,we translate R’(3 , 6) by the translation (x , y) ——-> (x+2 , y)
So , R’(3 , 6) ————> R’’(3+2 , 6)
A glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
Answer:
1 glass - 189 mm
thn 36 - 189 x 36
6804mm - 0.6 littre is holded by 36 glass
Two angles are supplementary angles if the sum of their measures is 180 degrees. Find the measures of two supplementary angles if the measure of one angle is 3 degrees less than twice the other.
Answer:
60 degrees and 119 degrees
if the smaller angle is x, then
x + 2x - 3 = 180
3x -3 + 3 = 180 + 3
3x/3 = 183/3
x=61
2(61) - 3 = 119
•** Plss help me **•
I think the answer is 30km^2
1/2 ×4 × 15 = 30
Robin has a basket that has 2 oranges in it
and 5 apples. What is the probability that she
chooses 3 oranges in a row with replacement.
Answer:
it is very high because
Step-by-step explanation:
5-2+3 so maybe it a subtraction problem hope this works
What's more 10/4 miles or 5/2 miles
Answer:
They are equal
Make them into mixed numbers
10/4 = 2 2/4 you can put this into its simplest form so 2 1/2
5/2 = 2 1/2
Find the inverse of the matrix using elementary row operations on the augmented matrix
(Answers are on picture)
The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex].
How to determine the inverse matrix
A matrix A has an inverse matrix if and only if its determinant is different than 0. Given that we have a matrix formed by 2 rows and 2 columns, we can obtain the following inverse matrix by using the following formula:
[tex]\vec A ^{-1} = \frac{1}{\det (\vec A)} \cdot adj (\vec A)[/tex] (1)
Where [tex]adj (\vec A)[/tex] is the adjoint of the matrix, which is the transposed of the cofactor matrix.
If we know that [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex], then the inverse of the matrix is determined below:
[tex]\det (\vec A) = -2[/tex]
[tex]adj (\vec A) = \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]
[tex]\vec A^{-1} = -\frac{1}{2}\cdot \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]
[tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]
The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]. [tex]\blacksquare[/tex]
To learn more on matrices, we kindly invite to check this verified question: https://brainly.com/question/11367104
question: find the area of the following figure.
Answer:
Area=length×width
11.4×11.4=129.96
so the area is 129.96
Hope this helps!
length= 11.4 in
to find:the area of the given figure.
solution:[tex]a = l \times l \: or \: l {}^{2} [/tex]
[tex]a = {11.4}^{2} [/tex]
[tex]a = 129.96 \: {in}^{2} [/tex]
therefore, the area of the square is 129.96 square inches.
PLEASEE HELPPP!!!!
The area of a rectangle is 140 square inches. The
perimeter of the same rectangle is 48 inches. What
are the length and width of the rectangle?
Answer:
Length can be 14 - 10 inches
Width can be 10 - 14 inches
Write the number in scientific notation. 0.0805
a)8.05 × 10
b)0.805 × 10–1
c)80.5 × 100–3
d)8.05 × 10–2
3 Evaluate( 2+i) squarerooted power 8
Answer:
[tex](i+2)^4[/tex]
Step-by-step explanation:
assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]
Step-by-step explanation:
[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]
[tex](2 + i) {}^{4} [/tex]
Split this up
[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]
Use the Perfect Square Trinomial
[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]
[tex] {i}^{2} = - 1[/tex]
so
[tex](3 + 4i)(3 + 4i)[/tex]
[tex]9 + 24i - 16[/tex]
[tex] - 7 + 24i[/tex]
Solve For X, using the given triangle.
Please answer quick! Also, keep in mind that this uses stuff like sin, cos, and tan. I'm looking for like trig and whatnot, please help!
Step-by-step explanation:
[tex] \tan(31) = \frac{x}{33} \\ x = 33 \tan(31) \\ x = 19.82840042791 \\ x = 19.83[/tex]
Answer:
x = 19.8
Step-by-step explanation:
You want to use tangent, since you are trying to find the opposite side and know the adjacent side to the angle.
tan = opposite/adjacent
31tan = x/33
Multiply both sides by 33
33(31tan) = (33) x/33
33(31tan) = x
Find the tan of 31° using a scientific calculator.
tan 31° is about 0.6
Solve for x
33(0.6) = x
x = 19.83
rounded to the the nearest tenth
x = 19.8
Brainliest?
Find the value of x.
[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]
Step-by-step explanation:
or , x + 97° + 42° = 180° ( the sum of interior
angle of triangle is 180° )
or , x + 139° = 180°
or , x = 180° - 139°
x = 41°
Four grade levels need equal time for indoor recess and the gym is available for three hours . How many hours of recess will each grade level receive
f(X)= _3 x²_7x_9
f(_5) +f(2)=
Answer:
Step-by-step explanation:
[tex]-3x^2-7x-9=F(x)[/tex]
[tex]F(-5)=-75+40-9=-49[/tex]
[tex]F(2)=-12-14-9=-35[/tex]
[tex]f(-5)+f(2)=-49-35=-84[/tex]
sophia is designig a logo with three lines,y, m, and n. Line m passes through point (-2, -1) and is perpendicular to the graoh of y=-2/3 x +6. line n is parallel to line m and passes through the point (4, -3). what is the equation in slope-intercept form of linen?
Answer:
y = 3/2x - 9
Step-by-step explanation:
Finding equation of line m
⊥ to the line y = -2/3x + 6new slope = -(-3/2) = 3/2Passes through the point (-2, -1)y + 1 = 3/2(x + 2)y + 1 = 3/2x + 3y = 3/2x + 2Equation of line n
Parallel ⇒ slope is same = 3/2Passes through the point (4, -3)y + 3 = 3/2(x - 4)y + 3 = 3/2x - 6y = 3/2x - 9Answer:
[tex]\textsf{Equation of line n}:\quad y=\dfrac32x-9[/tex]
Step-by-step explanation:
Equation of line m
If two lines are perpendicular to each other, the product of their slopes will be -1.
The slope of the line [tex]y=-\dfrac23x+6[/tex] is [tex]-\dfrac23[/tex]
Therefore, the slope of the line m is:
[tex]\implies m \times -\dfrac23=-1[/tex]
[tex]\implies m=\dfrac32[/tex]
If line m passes through point (-2, -1), then the equation of line m is:
[tex]\implies y-(-1)=\dfrac32(x-(-2))[/tex]
[tex]\implies y+1=\dfrac32(x+2)[/tex]
[tex]\implies y=\dfrac32x+2[/tex]
Equation of line n
If line n is parallel to line m, then they will have the same slope.
Therefore, slope of line n is [tex]\frac32[/tex]
If line n passes through point (4, -3), then the equation of line n is:
[tex]\implies y-(-3)=\dfrac32(x-4)[/tex]
[tex]\implies y+3=\dfrac32x-6[/tex]
[tex]\implies y=\dfrac32x-9[/tex]
If 25 workers can complete a work in 48 days, then in how many days 20 workers will complete the same work?
Answer:
heya! ^^
given that ,
25 workers together complete a certain piece of work in 48 days.
here , we've to find the number of days in which 20 workers can complete the same work ~
_____________________________
so let's start ~
★ 25 workers complete the work in = 48 days
★ 1 worker will complete the work in = 25 × 48 days
now ,
29 workers will complete the work in =[tex] \frac{\cancel{25} \times 48} {\cancel{20}} \: \: days \\ \\ \dashrightarrow \: \frac{5 \times \cancel{48}}{\cancel{4}} \\ \\ \dashrightarrow \: 5 \times 12 \\ \\ \dashrightarrow \: 60 \: days[/tex]
hope helpful :D
Answer:
60 days
Step-by-step explanation:
Thing to Remember
Number of workers is inversely proportional to the number of daysSolving
25 men can do a certain amount of work in 48 days25 men is reduced to 20 men ⇒ x 4/5Therefore, no. of days = inverse of rate of workers x 48⇒ 5/4 x 48 = 5 x 12 = 60 daysFind the product of 3.6 and 0.003
Answer:
0.0108
Step-by-step explanation:
3.6 multiplied by 0.003
1. First you write down the numbers one on top of the other
0.003
x 3.6
-----------
2. Multiply 6 by all the numbers in 0.003
0.003
x 3.6
-----------
0018
3. Multiply 3 by all the numbers in 0.003. But because "3" is followed by a number you leave a blank or a zero in the ones place
0.003
x 3.6
---------------
0018
+ 00090
---------------
4. Add the numbers you got
0.003
x 3.6
---------------
0018
+ 00090
---------------
00108
5. Count the number of decimal points or numbers after the decimal point in both numbers and add them
3.6 = one decimal place
0.003= three decimal places
Three plus one = four
6. Count the total number of decimal places
0010.8 = one decimal place
001.08 = two decimal places
00.108 = three decimal places
0.0108 = four decimal places
Is the sequence An a function? Why or why not?
Answer: A sequence is a type of function. Remember, a function is any formula that can be expressed in "f(x) = x" format, but a sequence only contains integers at or greater than zero.
Hope this helps! Have a good day! :)
BRAINLIEST FOR RIGHT ANSWER!
Find the surface area of this rectangular prism. Be sure to include the CORRECT UNIT in your answer.
Answer:
188 m²
Step-by-step explanation:
The formula to find the surface area of a rectangular prism/cuboid: [tex]A = 2(lw + lh + wh)[/tex], where [tex]l[/tex] is the length, [tex]w[/tex] is the width and [tex]h[/tex] is the height.
1) Plug the values into the formula.
[tex]A = 2((7(6)) + ((7)(4)) + ((4)(6)))[/tex]
2) Solve it.
[tex]A = 2(42 + 28 + 24)\\A = 2(94)[/tex]
A = 188 m²
please help me Find the value of x
Answer:
x=3
Step-by-step explanation:
3x+1+15
/2
= 12.5
Solve for the value of m. M+4 7/8 =9
Answer:
M=33/8
Step-by-step explanation:
Answer:
M+4 7/8 =9
Step-by-step explanation:
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y = x squared + 2 x + 10 a. (1, 9) c. (1, 10) b. (-1, 10) d. (-1, 9)
Step-by-step explanation:
Answer: its d
Step-by-step explanation:
Admission to the county fair is $15, and each ride ticket costs $1.75. Write an expression to describe the total cost of 8 rides.
PLEASE HELP I NEED TO FINISH THIS TODAY PLEASE BE RIGHT I NEED TO GET TO 70 AND I AM IN 54
Answer:
M"(-5, -7)N"(-5, -3)O"(0, -3)Step-by-step explanation:
Each of the transformations can be written in terms of what they do to the coordinates:
(x, y) ⇒ (-y, x) . . . . . . rotation 90° CCW
(x, y) ⇒ (x -7, y-8) . . . . translation 7 left and 8 down
__
Together, these transformations result in the composite transformation ...
(x, y) ⇒ (-y -7, x -8)
The end values of the original points are then ...
M(1, -2) ⇒ M"(-(-2) -7, 1 -8) = M"(-5, -7)
N(5, -2) ⇒ N"(-(-2) -7, 5 -8) = N"(-5, -3)
O(5, -7) ⇒ O"(-(-7)-7, 5 -8) = O"(0, -3)
_____
Additional comment
You can get an idea of what the 90° rotation looks like by printing the figure and turning it 1/4 turn counterclockwise. The points will have the same relative locations with respect to the axes. Effectively, you are relabeling the x-axis to y, and the -y axis to x. (That is what the 90° CCW transformation formula is telling you.)
Alternatively, you can turn your head sideways when you look at the computer screen.
In the attachment, the black arrow represents the translation vector, 7 left and 8 down.
PLEASE HELP
The pictures to the right show how much sausage and pepperoni pizza was left at the end of one day. Which fraction represents how much more sausage pizza then pepperoni pizza was left?
Answer:
3/8
Step-by-step explanation:
There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.
sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left
Now, let's fill in the numbers.
7/8 - 4/8 = ?
7/8 - 4/8 = 3/8
Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.
I hope this helps! Have a lovely day!! :)
Answer:
3/8
Step-by-step explanation:
So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt
PLS HELP FAST!!! NO LINKS
Answer:
Im 98% sure its the first one
Step-by-step explanation: