Answer:If you can spot a factor of
f(x)
then you can use synthetic division to divide by that factor to give a simpler polynomial to factor.
Step-by-step explanation:
Suppose that a system of seven equations with thirteen unknowns corresponds to a matrix in row echelon form. what is the largest possible number of pivots for this matrix?
For a system of seven equations with thirteen unknowns corresponds to a matrix in row echelon form. The largest possible number of pivots for this matrix is 7.
What is row echelon form and pivots?Using a technique known as Gaussian elimination, any matrix can be converted to reduced row echelon form. This is especially useful for solving linear equation systems.
If a matrix has the following properties, it is in Row Echelon form:
The bottom of the matrix contains any row that is entirely made up of zeros.The first non-zero entry in each row which does not encompass entirely zeros is 1. (called a leading 1).The leading 1 in the higher row is even further left than the leading 1 in the lower row for two consecutive (non-zero) rows.Pivoting is the process of transferring the first matrix to the second matrix utilizing row operations similar to equations.
The matrix "A" has three columns. As a result, there can only be three pivots, implying that at least one row of "A" in echelon type must be zero.
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Can someone find the measure of angle b
True/False: Negative numbers closed under subtraction.
Provide an example if false.
The statement is false .
let ; n=-5
m=-6
n - m= -5 -( -6 )
= -5 + 6
= 1
which is not a negative real number .
therefore it shows that negative real number are not closed under substrsction.
the process or skill of taking one number or amount away from another.
Example: 7-5=2
7 is a minuend
5 is a subtrahend
and 2 is a differenceSubtraction is an arithmetic operation that represents the operation of removing objects from a collection.
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hi everyone
10x -20y =
Answer:
[tex]10\left(x-2y\right)[/tex]
Step-by-step explanation:
[tex]-20 = 2\cdot \:10\\=10x+2\cdot \:10y\\=10\left(x-2y\right)[/tex]
Steps
• -20 gets converted to 2 × 10
• -20 in its new form is put into the rewritten equation.
• 10 was factored out, because it is the most common term in this equation.
6-x^2 what is it
please answer correctly to be awarded brainliest
Answer:
i think the question might be incorrect or the question is incomplete
what is divide 3/2 and 9/4
Answer:
Step-by-step explanation:
1.5 and 2.25
The distance around track is 400 m if you take 14 more laps how much is total amount of distance
The total distance covered is 6,000 m.
What is distance?Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object had also covered regardless of its starting as well as ending point.
The magnitude as well as size of displacement between two positions is defined as distance. It is important to note that the distance between two points isn't the same as the distance traveled among them. The total length of a path traveled among two points is referred to as the distance traveled. Travel distance isn't a vector.Now, as per the question;
The distance around track is 400 m.
14 more laps has been covered along with the initial one.
Thus the total distance will be;
Total distance = 400 + 400×14
= 400 + 5,600
Total distance = 6,000
Therefore, the total distance covered is 6,000 m.
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Need help with Equations with Fractions - URGENT!!!!
Answer: 2: v = -26 | 3: k = 7 | 4: x = 3/14 |
Step-by-step explanation:
---------------------------------------------------------------------------------------------------
2: 4 + v/8 = 3/4
First we have to leave the variable "v" alone and we do the opposite on the other side.
So we do 4 + v/8 = 3/4 ----> v/8 = 3/4 - 4
---> v/8 = -3 1/4
next we do 8 * v/8 = -3 1/4 * 8
We get v = -26
---------------------------------------------------------------------------------------------------
3: 2/3 + 3/4k = 71/12
Subtract 2/3 from both sides
= 3/4k = 63/12
Reduce 63/12 to 21/4
= 3/4k = 21/4
Multiply each side by 4/3, the reciprocall of 3/4
then we get k = 21/3
Which means k = 7
---------------------------------------------------------------------------------------------------
4: 1/2 + 7/10x = 13/20
Subtact 1/2 from both sides
= 7/10x = 3/20
Multiply each side by 10/7, the reciprocal of 7/10
x = 3 * 10/20 * 7
= x = 30/140
= x = 3/14
Write two numbers so that the value of the digit 9 in the second number is 10 times the value of the digit 9 in the first number?
The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.
What are the two numbers?The first number will be 9 and the second number will be 98.
In the second number, the 9 is in the tens position which means that it has the value of 90.
In the first number, the value of 9 is simply 9.
90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.
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Find the x-intercept and the y-intercept of the graph of the equation. 2x + 5y = 20
4. You bought a new car worth $32,000. Each year the value of the car depreciates by
6%. What will be the value of the car at the beginning of the tenth year of owning it?
(rounded to the nearest hundredth.)
12800
Step-by-step explanation:
you should find 6 percent on 32000 and multiply it by 10 to see the value it lost in 10 years then subtract that from 32000 for the final answer :)
Use logarithmic differentiation or an alternative method to find the derivative of the function. y = (sin 7x)ln x
The derivative of the function y = (sin(7x))ln(x) is [tex]\frac{Sin(7x)}{x} +7*ln(x)*Cos(7x)[/tex]
Derivative of a function f(x) is defined as the rate of change of that function with respect to x at a point in its domain.
For Example , Derivative of [tex]3x^{2} =6x[/tex].
Product Rule of Differentiation
Let f(x) and g(x) be any two function. The derivative of their will be
F(x)=f(x)*g(x)
[tex]F'(x)=f(x)*g'(x)+g(x)*f'(x)[/tex]
Given y=(sin(7x))ln(x)
[tex]y'=Sin(7x)*\frac{d}{dx} ln(x)+ln(x)*\frac{d}{dx}Sin(7x)[/tex]
[tex]y'=Sin(7x)*\frac{1}{x} +ln(x)*Cos(7x)*7[/tex]
[tex]y'=\frac{Sin(7x)}{x} +7*ln(x)*Cos(x)[/tex]
Therefore , the derivative of the function y = (sin(7x))ln(x) is [tex]\frac{Sin(7x)}{x} +7*ln(x)*Cos(7x)[/tex]
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What is 4/7-(-3/8) ?
_____________________
Solution:
Exact Form:
[tex]\frac{4}{7}-(-\frac{3}{8}) = \frac{53}{56}[/tex]
______________________
(^Note^)
To subtract fractions, find the LCD (Least Common Denominator), then combine.
Hope this helps! If so, please lmk! Thanks and good luck!
Answer: 53/56
Step-by-step explanation:
sorry if im wrong but since there is 2 negative signs it is going to become positive. so..
4/7+3/8
then make the denominators the same (56)
then multiply the numerators by the number you multiplied for the denominator for the question.
answer: 32/56+21/56 = 53/56
Are any of the subsets of the real number system (real numbers, whole numbers, integers, rational
numbers, or irrational numbers) are closed under multiplication? Which onest Explain why
The collection of all rational and irrational numbers, represented by the letter R, is known as a real number. A real number can therefore be either rational or irrational.
The set of natural numbers N = {1, 2, 3, 4, 5, . . .}
The set of integers Z = {. . ., –3, –2, –1, 0, 1, 2, 3, . . .}
The set of rational numbers Q = {x: x = a/b; a, b ∈ Z and b ≠ 0}
The set of irrational numbers, denoted by T, is composed of all other real numbers.
Thus, T = {x : x ∈ R and x ∉ Q}, i.e., all real numbers that are not rational.
Some of the irrational numbers include √2, √3, √5, and π, etc.
Some of the apparent relations among these subsets are:
N ⊂ Z ⊂ Q, Q ⊂ R, T ⊂ R, N ⊄ T.
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each * represents a missing operation.
23*11*22*11 = 11
how to solve this? please i need the steps not just answers
Simplify the following expression.
(13x + 9y) + (38x + 33y)
-----------------------------------
22x + 42y (A)
22x + 46y (B)
51x + 42y (C)
51x + 46y (D.)
Answer:
C: 51X+42Y
13x + 38x + 9y + 33y
adding,
51x + 42y so option C
evaulate 5m+7 if m=5
Answer:
32
Step-by-step explanation:
[tex]5\cdot \:5+7[/tex]
Which is greater explain the reasoning
Answer:
0.00000057652
Step-by-step explanation:
5.764 × 10^-7 = 0.0000005764 (move the decimal place 7 steps forward)
0.00000057652>0.0000005764 (65>64)
Therefore 0.00000057652 is greater.
Hope this helped! ^^
7+2+3 and 3+2+2 are the same?
Associative Property of Addition
0olve the equation
x/6 -5 = (-13)
Answer:
x=-13
Step-by-step explanation:
[tex]\frac{x}{6-5}=\left(-13\right)[/tex]
[tex]\frac{x}{1}=\left(-13\right)[/tex]
[tex]x=-13[/tex]
Answer: x= -48
Step-by-step explanation:
x/6 -5 = -13 check answer
+5 = +5 (-48)/6 -5 =-13
x/6 = -8 -8 -5 = -13
6(x/6) = (-8)6 -13 = -13
x=-48
Which expression is equivalent to 9(15)?
9(10+5)
9 left parentheses 10 plus 5 right parentheses
9(10+50)
9 left parentheses 10 plus 50 right parentheses
9(1+5)
9 left parentheses 1 plus 5 right parentheses
9(1+50)
Answer:
9(10+5)
Step-by-step explanation:
because 10+5 is fifteen so then when you as them together you get the same expression as before
Answer:
9(10+5)
Step-by-step explanation:
because 10+5=15 and it's 9(15)
find the value of sqrt 361
Paul's Bikes rents bikes for $11 plus $4 per hour. Amanda paid $31 to rent a bike. For how many hours did she rent the bike?.
As given Paul's Bikes rents bikes for $11 plus $4 per hour and Amanda paid $31 to rent a bike shows she rent the bike for 5hours.
As given in the question,
Let 'h' represents the number of hours
Paul's Bikes rents bikes for $11 plus $4 per hour
Amanda paid $31 to rent a bike
Required equation is:
31 = 11 + 4h
⇒4h = 20
⇒h = 5hours
Therefore, as given Paul's Bikes rents bikes for $11 plus $4 per hour and Amanda paid $31 to rent a bike shows she rent the bike for 5hours.
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PLS HELPPP ive been stuck on this for so long
Answer:
1. 15.17ft 2. 18.57ft 3. 22.41%
Step-by-step explanation:
1. What was the length of one side of the garage originally?
Area of a square = s × s which is also equal to s²
s means one side of the square, as it is a square, all sides are equal.
so
230 = s²
s = √230 = 15.17
2. What is the length of one side of the garage now?
The original area of the garage was 230ft²
But now, the area has increased by 50%
Increased Area = 230 × 50% = 115ft²
Total Area = 230 + 115 = 345ft²
In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.
Area = s²
345 = s²
s = √345 = 18.57
3. What was the percentage increase of the length of one side?
Length : Percentage
15.17 : 100
18.57 : x
When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.
Now cross multiply
18.57 × 100 = 15.17x
1857 = 15.17x
1857/15.17 = x
x = 122. 41
The new percentage is 122.41%
The difference between both percentages is:
122.41 - 100 = 22.41
And 22.41 is the percentage increase.
A rectangle garden has a length of 5 less than 2 times the width. the perimeter if 50 meters. what are the side lengths?
The length of the rectangle garden is 15 meters and the width of the rectangle garden is 10 meters.
Perimeter of the rectangle:
Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.
The formula for perimeter of the rectangle is,
P = 2 (a + b) units
where
“a” is the length of the rectangle
“b” is the breadth of the rectangle
Given,
A rectangle garden has a length of 5 less than 2 times the width.
The perimeter if 50 meters.
Here we need to find the side lengths of the rectangle garden.
Let w be the width of the garden.
According to the given details, the length is
l =2w - 5
Now apply the values on the perimeter formula,
Then
=> 2 ((2w - 5) + w) = 50
=> 2 (3w - 5) = 50
=> 3w - 5 = 25
=> 3w = 30
=> w = 10 meters.
Apply the value of width on the equation to find the length of the garden.
=> l = (2 x 10) -5
=> l = 20 - 5
=> l = 15 meters.
Therefore, the length of the garden is 15 meters and the width of the garden is 10 meters.
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A city had 210 abandoned homes. A
renovation crew reduced the number of
abandoned homes by 80%. How many
abandoned homes are in the city now?
Answer:
42
Step-by-step explanation:
210 × 20% = 42
Given x = 1, y = 1, w = 1, and z = 1 and this expression: what is the evaluation of the logical expression?
The evaluation of the expression is 2, if the expression is x - y + z(x + w).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
Given that x = 1, y = 1, w = 1, and z = 1
We have been given expression
⇒ x - y + z(x + w)
Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,
⇒ 1 - 1 + 1(1 + 1)
⇒ 0 + 1(2)
⇒ 2
Hence, the evaluation of the expression is 2.
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Your question is incomplete, probably the missing part is:
Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?
Ali Makes a Four digit number . The sum of the digit is 4 . The thousands digit and the unit digit are the same. The hundreds digit is zero.
What is Ali's number?
Answer:
6000
Step-by-step explanation:
thousands digit and the units digit are the same.
and The hundreds digit and the tens digit are the same.
The hundreds digit is 0.
so three digits are same.
so the last three digits are 0.
The sum of the digits is 6.
so 6000 is right answer.
please help me!! i have no clue
Answer:
Step-by-step explanation:
Two shops each charge a rental fee plus an hourly fee to rent a canoe. How many
hours must a canoe be rented for the total costs at both shops to be the same?
Rental fee
Hourly fee
Shop A Shop B
$2
$8
$5
$4
The time when the two total costs would be equal is 6 hours.
When would the total cost be equal?The equation that can be used to represent the total cost of renting a canoe is a linear function. A linear equation is an equation that has a single variable raised to the power of 1. A linear equation increases by a predetermined constant. An example of a linear equation is 2x + 2.
The form that the equation would be is:
Total cost = rental fee + (cost per hour x number of hours)
Total cost at Shop A = $2 + $5h
Total cost Shop B = $8 + $4h
When the total costs are equal, the two above equations would be equal.
$2 + $5h = $8 + $4h
Combine similar terms: $$5h - $4h= $8 - $2
Add similar terms: h = 6 hours
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