Step-by-step explanation:
Your problem is equivalent to
(x3 - 3x2 + x - 4)/(x-2)
The coefficients of the numerator are 1, -3, 1, -4.
The solution is as follows:
2 | 1 -3 1 -4 Set up the coefficients in decreasing power of x, and 2 is the divisor.
2 -2 -2
------------------
1 -1 -1 -6
Here are the steps:
(a) Bring down the leading coefficient of 1.
(b) 2*1=2. Add -3 and 2 to obtain -1.
(c) 2*-1=-2. Add 1 and -2 to obtain -1.
(d) -1*2=-2. Add -2 and -4 to obtain -6
The quotient has the coefficients 1,-1,-1 so it is x2 - x - 1. The remainder is -6.
Answer :
The result is x2 - x - 1 - 6/(x-2).
You can verify that the answer is correct, because
(x-2)*(x2 - x - 1) - 6 = x3 - 3x2 + x - 4
Hope this helps you
Calculating Object's Height A boulder sitting on the edge of a cliff has 15,500 J of gravitational potential energy and a mass of 500 kg. Determine the height above Earth's surface that the boulder rests. P.E. = mass × 9.8 (gravity) × height
The height above Earth's surface that the boulder rests is 3.16m.
What is Gravitational acceleration ?Gravitational acceleration can be defined as the acceleration of any object when the object is in free fall. or we can say that the gravitational acceleration is the quantity which describes the acceleration of free falling object within vacuum. It is denoted by g .
What is Potential Energy ?Potential energy is the stored energy of the object which is generally based on the relative position of the various parts of the object. It is also known as gravitational energy.
Formula of potential energy :
PE = mgh
where, PE = gravitational energy / potential energy
m = mass of object
g = gravitational acceleration
h = vertical height of object
According to question given:
PE = 15500J
m = 500kg
g = 9.8
As PE = mgh
therefore, h = PE / mg
i.e. h = 15500 / (500)(9.8)
h = 3.16m
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find the mean(average) of this set of data 100 400 20 40 30
Answer:
118
Step-by-step explanation:
(100 + 400 + 20 + 40 + 30)/5
= 590/5
= 118
Answer:
118
Step-by-step explanation:
100+400+20+40+30= 590
then 590/5= 118
the perimeter of a jamaican flag is 90 inches. the length is twice its width. find the dimensions of the flag
Answer:
width = 15 inches
length = 30 inches
Step-by-step explanation:
Finding the dimensions of a rectangular flag:[tex]\sf \boxed{\text{\bf Perimeter of rectangle =2*length + 2*width}}[/tex]
Let width = x inches
Length = 2*x = 2x inches
Perimeter = 90 inches
2 *length + 2* width = 90
2*2x + 2*x = 90
4x + 2x = 90
Combine like terms,
6x = 90
Divide both sides by 6,
x = 90/6
x = 15
Dimensions:
Width = 15 inches
Length = 2*15 = 30 inches.
44 - (2c + 3) = 4(c + 5) + c
solve the equation
Find the value of x. Show all work. Round your answer to the nearest tenth.
25
x
23
Please help
Answer:
8.9Step-by-step explanation:
[tex]\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9[/tex]
A seal went 15 below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion's position in relation to sea level?
Answer:
[tex]2\times 15-6 = 24\ below\ sea\ level[/tex]
Step-by-step explanation:
Given that:
Distance traveled by seal to catch the fish = 15 below sea level
Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.
To find:
The expression to represent the position of the sea lion in the sea.
Solution:
If the distance traveled by seal is represented by [tex]D[/tex] then as per the question statement:
Twice of [tex]D[/tex] = [tex]2\times D[/tex]
6 lesser than twice of [tex]D[/tex] = [tex]2\times D[/tex] - 6
Now, putting the value of [tex]D[/tex] = 15
Therefore, the expression to represent the sea lion's position w.r.to sea level.
[tex]2\times 15-6\\ = 24\ below\ sea\ level[/tex]
[20+(2.5x3)]-27 please help lol
Answer:
0.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
[20 + (2.5 × 3)] - 27
Step 2: Evaluate
[Brackets - Parenthesis] Multiply: [20 + 7.5] - 27[Brackets] Add: 27.5 - 27Subtract: 0.5I’m not sure if this is correct or not !!!!!!!!!! Please HELP !!!!!! I will mark Brianliest !!!!!!
Answer:
CORRECT!!!!!!!!!
Step-by-step explanation:
Answer:
Your right!
(づ￣ 3￣)づ
I hope this helps! (❤´艸｀❤)
Draw a grid using a scale of 0 to 10 on the ×-axis and 0 to 5000 (with interval of 500) on the y-axis and plot a graph based on ur table
The graph based on table is drawn in picture.
What is grid?A grid is basically a structure which is made up of several straight lines which intersect each other and form number of squares or boxes.
What is grid graph?A grid graph is the 2-dimentional graph with x and y axis which is embedded in Euclidean space .In the graph theory, The grid graph is also known as the 2-dimentional lattice graph (2D lattice) , mesh graph and rectangular grid graph. Sometimes, the graphs having the grid structure are also called as cartesian graphs because they have build on the cartesian coordinates system having x and y axis.
In the question given,
scale on x-axis is 0 to 10 with the interval of 1
thus, points on x axis are 0,1, 2, 3, ----,10
scale on y-axis is 0 to 5000 with the interval of 500
thus, points on y axis are 0, 500, 1000, 1500, ----- , 5000
The grid graph is shown in picture .
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I need help ASAP!!!!
hich of the relations given by the following sets of ordered pairs is not a function? {(5,2),(4,2),(3,2),(2,2),(1,2)} {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)} {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}
{(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function .
• In mathematics, ordered pair is a pair of numbers which are written in a specific order. They are generally written in (x,y) form. For example (3,5) is a ordered pair.
• Function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have same value of x coordinate.
Case 1 : {(5,2),(4,2),(3,2),(2,2),(1,2)}
No two ordered pair have the same value of x coordinate. So it is a function.
Case 2 : {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)}
Two ordered pair have the same value of x coordinate (3,2) and (3,5). So, it can not be considered as a function.
Case 3 : {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)}
No two ordered pair have the same value of x coordinate. So it is a function.
Case 4 : {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}
No two ordered pair have the same value of x coordinate. So it is a function.
Therefore, {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function.
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A student answered 86 problems on a test correctly and receives a grade at 98% how many problems were only test if all the problems were worth the same number of points( round to the nearest whole number)
Answer:
88 questions
Step-by-step explanation:
86/0.98 = 87.755
pls mark brainliest :D
Which expression is equivalent to (3x−4y5)−2?
−9x8y10
x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity
negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power
1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity
The expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power". option B
Exponential-9x^8 / y^10
Check all that applies:
x raised to the eighth power over quantity 9 times y raised to the tenth power end quantityx^8 / (9×y)^10
= x^8 / 9y^10
No
negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power-(9×x)^8/y^10
= -9x^8 / y^10
Yes
1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity1/(9×x)^8 × y^10
= 1 / (9x^8) × (y^10)
No
Therefore, the expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power".
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Which equation represents the line that passes through the points (4, 6) and (−2, −1)?
Find the slope first by using rise/run
[tex]m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}[/tex]
[tex]y=mx+b\\y=\frac{7}{6}x+b[/tex]
We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).
Substitute x = -2 and y = -1 in the equation.
[tex]-1=\frac{7}{6}(-2)+b\\-1=\frac{7}{-3}+b\\-1=-\frac{7}{3}+b\\-1+\frac{7}{3}=b\\b=\frac{4}{3}[/tex]
Thus the y-intercept is 4/3.
From y = mx+b, the equation is.
[tex]y=\frac{7}{6}x+\frac{4}{3}[/tex]
Easy math problems!!!!!
Answer:
We can use the Pythagorean theorem to solve this:
The Pythagorean theorem states that the hypotenuse of a triangle (the longest side), squared is equal to the sum of the other 2 sides of the triangle, squared. It can be expressed as so:
c^2=a^2+b^2 where c represents the hypotenuse; a and b represent the other 2 sides.
Now that we have an equation we can solve:
c^2=8^2+8^2
c^2=64+64
c^2=128
Since there is no perfect square for 128 we need to put in in simplest radical form
c=√128
Find a number that has a perfect square and multiplies by another number to equal 128
c=√64 x 2
This can be rewritten as so:
c=√64√2
Now for the last step find another perfect square for 64 and have it outside the square like so:
c=8√2
There is no perfect square for 8 so this is in simplest radical form
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
HELPPPP!!!
Use the diagram to answer the question
A bank security camera is mounted on a wall. The camera is set at an angle of depression of 19 degrees so that it is focused on a point on the floor near the main entrance door . The camera's horizontal distance of 26 feet from the the focus point on the floor.How high above the floor is the camera Round your answer to the nearest hundredth.
Answer:
8.95feet
Step-by-step explanation:
The set up is a right angled triangle where;
The camera's horizontal distance from the focus point = 26feet = Adjacent;
The height of the camera above the floor = Opposite = x
Angle of elevation = 19°
According to TOA in trig identity;
Tan theta = opp/adj
Tan 19 = x/26
x = 26tan 19
x = 26(0.3443)
X = 8.95feet
Hence the camera is placed at a height of 8.95feet above the floor
. A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party. The table
below shows the cost of hosting a private party for a certain number of guests.
Total Cost of Hosting a Private Party
Number of Guests Total Cost
(dollars)
10
250
20
400
30
550
40
700
50
850
How much does the restaurant charge for a private party with 45 guests?
Answer:
42
Step-by-step explanation:
i said so
The restaurant charge 775 $ in total for a private party with 45 guests.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the total number of guest is x;
and, the Total Cost of Hosting a Private Party be y;
here it is given that :
A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party then, this van be shown in linear equation as :
y = 15x + 100
Now, for 45 number of guests that is x = 45, then y will be :
y = 15x + 100
y = 15 x 45 + 100
y = 675 + 100
y = 775 $
Thus, the restaurant charge 775 $ in total for a private party with 45 guests.
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.William sold half of his comic book collection and then purchased 10 more . He now has 24 comic books period how many books did William begin with?
Answer:
28 books
Step-by-step explanation:
Let x represent the number of books .William owned before anything happens
x/2 + 10 = 24
2(x/2 + 10) = 2(24)
x + 20 = 48
x = 48 - 20
x = 28
Answer:
28
Step-by-step explanation
subtract 10 by 24.multiply 14 by 2 and there's your answer hope this helps
This is slope pt 2 pls help there is 3 more
Answer:
Slope is -7/4
Which matrix represents the system of equations?
3x + 5y = −9
x + 5y = 16
Graph a line that contains the point (-5,-3) and has a slope of -2
Given:
The line contains the point (-5,-3) and has a slope of -2.
To find:
The graph of the line.
Solution:
The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-(-3)=-2(x-(-5))[/tex]
[tex]y+3=-2(x+5)[/tex]
[tex]y+3=-2x-10[/tex]
Subtracting 3 from both sides, we get
[tex]y=-2x-10-3[/tex]
[tex]y=-2x-13[/tex]
So, the equation of line is [tex]y=-2x-13[/tex].
Putting x=0, we get
[tex]y=-2(0)-13[/tex]
[tex]y=0-13[/tex]
[tex]y=-13[/tex]
It means, the line also passes through (0,-13).
Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.
Therefore, the graph of given line is shown below.
I need help with this whole page (if you can’t see zoom in)
Answer:
number
2.A
3.1/1
4.A
5.up right side ididnt see
6.5 right
7.place the positive for and walk in to the left side and count eleven start to 4
who else is bummed that the exam has 50 questions on edge
Answer: ME
Step-by-step explanation:
(pre-calc) Use Limit Laws to determine the limit of a(n). It is not -∞, so what answer is it and why?
The limit of the function as the variable n tends to minus infinity is -1. Option C is correct
Limit of a functionGiven the limit of a function expressed according to the equation;
a(n) = 6n²-n-3n³/3n³+n-1
The value of the function if n tends to minus infinity is expressed as show:
a(n) = 6n²-n-3n³/3n³+n-1
Divide both all the terms by n³
a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³
a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)
a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)
a(n) = -3/3
a(n) = -1
Hence the limit of the function as the variable n tends to minus infinity is -1
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Suppose milk is selling for 87.5¢ per litre. How many litres can you buy with $20?
The liters of milk litres you can buy with $20 is mathematically given as
v=22.8571L
How many litres can you buy with $20?Question Parameter(s):
Suppose milk is selling for 87.5¢ per litre
Generally, the equation for the Volume of milk is mathematically given as
1=87.5c
v=20,00c
Therefore
v=2,000/87.5
v=22.8571
In conclusion, volume of milk
v=22.8571L
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Hi will you help me I can’t figure this out?
Answer: the first option
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
-20-------------------------------------0-------------------------------------20
moving right on ANY number line increases the number value. My example above also shows you that if you move left your number value will DECREASE.
HOPE THIS HELPS <3333
-Silver
[tex]8 + y = x[/tex]
You can rent a bird scooter in Atlanta according to the function e(x)=0.15x+1.00 to unlock the scooter and $0.15 each minute to rent.
Let e(x) represent the total cost of the rental after x minutes.
a. interpret e(3)=1.45
b. find the e(10).
c. let e(x)-5.50. x=__
d. domain___ range___
Answer:
17.23
Step-by-step explanation:
What is the answer to the question?
Answer:
360g plain flour
3 eggs
900ml milk
Step-by-step explanation:
To make 4 pancakes you would do 240g÷2=120g
2 eggs÷2=1
600ml÷2=300ml
all this makes a total of 4 pancakes.
to make 12 pancakes you do 4×3 soo..
120g×3=360g
1×3=3
300ml×3=900ml