The polynomial function with leading coefficient of 3 and root -4, i, and 2 all with multiplicity of 1 is f(x) = 3(x+4)(x-i)(x+2)
Polynomial function
The Leading coefficients are the numbers written in front of the variable with the largest exponent.
Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero.
The multiplicity is the number of times a given factor appears in the factored form of the equation of a polynomial.
Therefore, the polynomial f(x) = 3(x+4)(x-i)(x+2) has a root -4 , 1 and -2.
The leading coefficient is 3. The multiplicity is all one.
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Answer:
d
Step-by-step explanation:
Alice has five cards each with a number on them. Three of the numbers are shown. 3 8 5 ( I found another 5 as the mode is 5) 5 The mode of the five numbers on the cards is 5 The mean of the five numbers on the cards is 6 Work out the range of the five numbers on the cards. You must show your working.
Answer:
last number is 9; range is 3-9
Step-by-step explanation:
since 5 is mode and 6 is mean, the 5 numbers must equal 30(as 30/5 is 6). 3+8+5+5 is 21, meaning last number is 9. therefore, range is 3-9 (largest and smallest)
Timmy drops two objects: a small book, and a bowling ball. The bowling ball has a mass of 3.6 kg and the book has a mass of 1.4 kg. If there is no air resistance, which object will fall at a faster rate? Explain.
Answer:
Both object will fall at the same speed
Step-by-step explanation:
Gravitational acceleration acting on both if those is equal. so Heavy objects fall at the same rate (or speed) as light ones
Please help me on this!
Question : For which integer, x, does the value of g(x) begin to exceed the value of f(x) ?
A. 30
B. 29
C. 28
D. 27
ANSWER: B. 29
#learnalways #brainly
Step-by-step explanation:
Hope it's help
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5 cm is the diameter 12 cm is the height was is the answer round to the nearest tenth
Answer:
03.97655 that will be there for answers
please help!!
-1,-6
1,-2
3,2
write the equations of a liner function that had a y-intercept greater than the function represented in the table and is parallel to the function y+ 1/4x=2
to get the equation of any straight line, we simply need two points off of it, so for the equation in the table, let'use the points in the picture below
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{2+2}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{2}(x-\stackrel{x_1}{1})\implies y+2=2x-2[/tex]
[tex]y=2x\stackrel{\stackrel{b}{\downarrow }}{-4}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so the equation in the table has a y-intercept of -4.
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y+\cfrac{1}{4}x=2\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{4}} x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]
so hmmm we're really looking for an equation whose slope is -1/4 and with a y-intercept greater than -4, hmmm let's recall something, that on the negative side of the number line, the closer to 0, the greater.
that said, on the negative side of the number line -10 is much larger than -1,000,000, because -10 is closer than -1,000,000 to 0, and so on.
so hmmm what's greater than -4? hmm well, heck let's use -2
[tex]y = -\cfrac{1}{4}x - 2[/tex]
Graph the following features
Y-intercept = 2
Slope = -2/5
Answer:
Step-by-step explanation:
please help!!!
translate the triangle with the vector -4 , 1
The transformation can be defined as the introduction of a new set of mathematical coordinates.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
Given the triangle is needed to be translated by vector <-4,1>, therefore, we need to reduce -4 from all the x-coordinates of the points and add 1 to all the y-coordinates of the points.
Since negative on the x-axis is towards the left, and positive on the y-axis is upwards. Therefore, the translation of the given triangle will be as shown below.
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you take a student loan of $60,000 to go to a private college. interest is 5.5% compounded monthly. The life of the loan is 20 years. How much is the total cost of the loan
Answer:
637 DOLLARS
Step-by-step explanation:
have a good day
A box is in the shape of a rectangular prism. kristi is trying to ship boxes of her homemade granola trail mix. the box she is using to ship has the dimensions of 18in by 24in by 12in. each trail mix box has dimensions of 4in by 3in by 3in. how many trail mix boxes will fit into the box to be shipped? explain how you got your answer.
The number of rectangular trail mix box that will fit into the rectangular box to be shipped is 144.
Volume of a rectangular prism
The volume of a rectangular prism is represented as follows;
volume of rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
volume of the box = 18 × 24 × 12 = 5184 inches³
Therefore, the volume of each trail mix box is as follows:
volume = 4 × 3 × 3 = 36 inches³
Therefore,
number of trail mix box that can fit the box to be shipped = 5184 / 36 = 144
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Answer:
144 (100% correct)
Step-by-step explanation:
To calculate the number of trail mix boxes that will fit into the shipping box, we need to compare the volumes of the two boxes.
First, let's calculate the volume of the shipping box (rectangular prism):
Volume of the shipping box = length * width * height
Volume of the shipping box = 18 in * 24 in * 12 in
Volume of the shipping box = 5184 cubic inches
Next, let's calculate the volume of each trail mix box (rectangular prism):
Volume of each trail mix box = length * width * height
Volume of each trail mix box = 4 in * 3 in * 3 in
Volume of each trail mix box = 36 cubic inches
Now, we divide the volume of the shipping box by the volume of each trail mix box to find the number of trail mix boxes that will fit:
Number of trail mix boxes = Volume of the shipping box / Volume of each trail mix box
Number of trail mix boxes = 5184 cubic inches / 36 cubic inches
Number of trail mix boxes = 144
Therefore, 144 trail mix boxes will fit into the shipping box.( For confirmation to those who need it)
please help!!! evaluate -|-8-2|
[tex]-|-8-2|\\\\=-|-10|\\\\=-10~~~~~~~~~~~~~~~~~~~~~~~~~~~;|-a| = a[/tex]
Answer: Heyaa! ~
Your Answer is... -10, Which is B.
Step-by-step explanation:
-|-8-2|-|-10|-10Hopefully this helps you! ^
how many turtles die every year because of humans?
save the turtles
Answer:
We found, based on beach strandings, that more than 1,000 turtles are dying a year, after becoming tangled up, but this is almost certainly a gross underestimate. Young turtles and hatchings are particularly vulnerable to entanglement.” In recent years, global turtle population numbers have been falling.
Create a word problem that would require the use of equations to solve the problem.
Answer:
Tonya"s tennis Academy charges $25 per hour for lessons plus a $15 registration fee. Gerald spent a total of $290 for lessons. How many hours of lessons (h) did he take? Create an equation to determine the cost of the lessons with number of hours of lessons as the variable. Then substitute what you know and solve for hours of lessons.
its a word problem from wyzant.
Step-by-step explanation:
The charge = $15 + $25h (h represents the number of hours)
$290 = $15 + $25h
$275 = $25h ( subtract $15 from both) sides
11 = h ( divide both sides by $25)
If you have 1 apple and add two more apples every 10 minutes for five hours how many apples would you have
Answer: 61 apples
Step-by-step explanation:
Given:
1 apple
+2 apples = +10 minutes
1 hour = 60 minutes
60/10 = 6 x 2 = 12 apples/hr
12 x 5 = 60 apples for 5 hours
60 + 1 = 61 apples
(sin (x+y)) / sinxcosy = 1+ cot(x) + tan(y)
Answer:
sin (×+y)/sinx cosy =1+ cotx tany
from trig ratio Sin [x +y] = sinx Cosy + cosx siny
Sinx cosy + cosox siny./Sinx cosy
then check the attachments for further information
help me pls :)
it is for revision but i dont understand it...
[tex]\textbf{a)}\\\\3x^2 y^4 \cdot 2x^6 y \\\\=6x^{2+6} \cdot y^{4+1}\\\\=6x^8 y^5\\\\\textbf{b)}\\\\xz^3 \cdot 4x^4 z^5\\\\=4x^{4+1} \cdot z^{3+5}\\\\=4x^5 z^8\\\\\textbf{c)}\\\\4a^3b^2 \cdot 3a^6 b^5 \\\\=12a^{3+6}\cdot b^{2+5}\\\\=12a^9b^7\\\\\textbf{d)}\\\\6s^5t\cdot s^4 t^2\\\\=6s^{5+4} \cdot t^{2+1}\\\\=6s^9t^3[/tex]
4. If the diameter (across) is 30 cm, what is the measure of the radius? 30 cm Hint: The radius is 1/2 the diameter d=21.
Answer:
If the diameter is 30 cm, the radius is 15 cm
Step-by-step explanation:
What is the diameter of a circle?It's a straight line that runs from one side of the perimeter through the center to the other side of the perimeter.
The hint is exactly correct, the radius is a half of the diameter, or the diameter is 2 times the radius.
If the diameter is 30cm, the measure of the radius is 30 ÷ 2 ( = 15) How many roots does the function have?
f (x) = x^6+ 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x + 7
2
6
21
7
Answer:
21
Step-by-step explanation:
6+5+4+3+2+1=21 and there you g9
Write the power 4⁴ in repeated multiplication form. Then find the value of the power.
The power in repeated multiplication form is
The value of the power is
The power in repeated multiplication form of 4⁴ is: 4 × 4 × 4 × 4 = 256.
How to Write a Number in Repeated Multiplication Form?To wrote a number in repeated multiplication form, write the base number multiplied as many times as the stated exponents.
Given the number, 4⁴, we have:
4 × 4 × 4 × 4 = 256.
The value of the power of 4⁴ is: 256.
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Answer:
Step-by-step explanation:
4 x 4 x 4 x 4 = 16 x 16 = 256 is the value
4^4 is the power
Share 48 in the ratio 4:2
Answer:
48: 24
Step-by-step explanation:
divide.
which value of m makes the inequality 10m-5<45
Answer:
m < 5
Step-by-step explanation:
10m-5 < 45
Add 5 to both sides
10m - 5 + 5 < 45 + 5
Simplify
10m < 50
Divide both sides by 2
10m/10 < 50/10
Simplify
m < 5
Kavinsky
which two expressions are equivalent?
a) x+x+x and x³
b) 14x + 10 - 2x and 16x + 10
c) 12x + 16x and 4(3x+4x)
d) 12x² + 5x + 10 and 17x² + 10
NO SPAM ANSWERS.
Answer:
c
Step-by-step explanation:
(4×3x)+(4×4x)=
12x+16x
4 Write always, sometimes, or never. 1. Multiplying a decimal by 104 shifts the decimal point 4 places to the right. a 2. The product of a whole number and a decimal number is a whole number 3. The product of two decimal numbers less than 1 is greater than either factor 4. The product of a number multiplied by 0.1 is 10 times as much as multiplying the same number by 0.01.
Answer:
1. Never
2. Sometimes
3. Never
4. Always
Step-by-step explanation:
hope this helps
Kendrick will pay interest at a monthly rate of 0.7% on a student loan of $6000 for the next 2 years, at which point he will begin making payments. The total number of dollars he will owe in 2 years is 6000(1.007)24. Rewriting the expression 6000(1.007)24 in which of these ways would be useful in calculating the rate of interest he will pay each year?
The ways that would be useful in calculating the rate of interest he will pay each year is: 6000(1.007)^12×2
Rate of interestUsing this formula
Rate of interest=Principal(1+Rate)^nt
Where:
Principal=$6,000
Rate=0.7%
Time=2 years
Number of months =12 months
Let plug in the formula
Rate of interest=6000(1+.007)^12×2
Rate of interest=6000(1.007)^24
Rate of interest=$7,093.47
Therefore the ways that would be useful in calculating the rate of interest he will pay each year is: 6000(1.007)^12×2
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How many square tiles of side 20cm are needed to cover a floor 3.8m by 2.8m?
Answer: 266
Step-by-step explanation:
Area of floor 3.8 × 2.8 = 10.64m²
Tiles 0.2m × 0.2m = 0.04m²
Number of titiles = 10.64/0.04
Simplify.
(A^2)^3+(A^-2)^-2
A. A^2
B. A^10
C. A^24
D. A^6+ A^4
Convert each number from real to scientific notation.
11) 0.00006228
12) 0.00007243
13) 13,760
14) 839.1
15) 0.00006324
16) 0.003136
17) 0.00009435
18) 0.0006437
19) 0.001232
20) 0.007955
Answer:
6.228×10-⁵
7.243 × 10-⁵
1.376 ×10⁴
8.391×10²
6.324×10-⁵
3.136×10-³
9.435×10-⁵
6.437×10-⁴
1.232×10-³
7.955×10-³
equation that equal 15
Answer:
15x=225
Step-by-step explanation:
15x=225
x=15
10 + 5 = 15.
14 + 1 = 15
13 + 2 = 15
those are what ik but guy above is more accurate lol
IF YOU HELP ILL GIVE U BRAINIEST!! HELPPPPPP
Solve for c in terms of x.
Answer:
c = x + 5
Step-by-step explanation:
using Pythagoras' identity in the right triangle
c² = 5² + ([tex]\sqrt{x^2+10x}[/tex] )²
= 25 + x² + 10x
= x² + 10x + 25 ← a perfect square
c² = (x + 5)²
take the square root of both sides
c = [tex]\sqrt{(x+5)^2}[/tex] = x + 5
7. Interest is compounded semianually. Find the amount in the account after the given time.
Answer:
$1,229.26
Step-by-step explanation:
Finding compound interest :
A = P (1 + r/n)^(nt)A = (1,000)(1 + 0.07/2)²⁽³⁾A = (1,000)(1.035)⁶A = (1,000)(1.22925533)A = $1,229.26Find the volume of the cylinder in terms
of pi
8 m
3.8 m
Answers
60.8
57.76
438.98
115.52
Answer:
115.52 m³
Step-by-step explanation:
As per given question we have provided that :
➟ Height of cylinder = 8 m➟ Radius of cylinder = 3.8 mWe need to find the volume of cylinder :
➟ Volume of cylinder = πr²hSubstituting all the given values in the formula to find the volume of cylinder :
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi {r}^{2}h}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8)}^{2}8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8 \times 3.8)}8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(14.44)}8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 14.44 \times 8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 115.52}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 115.52 \pi \: {m}^{3}}}}[/tex]
[tex]{\star\underline{\boxed{\sf{\pink{Volume_{(Cylinder)}} = \purple{115.52 \pi \: {m}^{3}}}}}}[/tex]
Hence, the volume of cylinder is 115.52 m³.
[tex] \rule{200}2[/tex]