Answer:
2x³ + 2x
Step-by-step explanation:
(x² + x³ + x² + x) - (x² - x³ + x² - x)
= x² + x³ + x² + x - x² + x³ - x² + x
Gathering like terms...
x³ + x³ +x² + x² -x² - x² + x + x
= 2x³ + 2x
The difference of the polynomials is 2(x³+x).
What is a polynomial?A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
Given are two polynomials (x² + x³ + x² + x) and (x²-x³+x²-x), we need to find the difference,
So,
(x² + x³ + x² + x) - (x²-x³+x²-x)
= x² + x³ + x² + x - x²+x³-x²+x
= 2x²-2x²+x³+x³+x+x
= 2x³+2x
= 2(x³+x)
Hence the difference of the polynomials is 2(x³+x).
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(18 ÷ 2) × (56 ÷ 7) =
Answer: 72
Step-by-step explanation:
Step 1: Divide 18 and 2, which is 9
Step 2: Divide 56 and 7, which is 8
Step 3: Multiply 9x8 and get 72
If x•x = 10, what is the value of X?
Answer:
x = 3.16
Step-by-step explanation:
x * x = 10
[tex]x^2 = 10[/tex]
square root both sides
[tex]\sqrt{x^2} = \sqrt{10}[/tex]
[tex]x = \sqrt{10}[/tex]
x is appr. 3.16
Answer:
x= √-10, √ 10
Step-by-step explanation:
Jej pls help i need help thank you
Answer:
Largest total : [tex]\mathsf {\frac{69}{20}}[/tex]
Smallest total : [tex]\mathsf {\frac{121}{40} }[/tex]
Step-by-step explanation:
Finding the largest total :
The greatest 2 numbers are 7/4 and 1 7/10⇒ 7/4 + 1 7/10⇒ 7/4 + 17/10⇒ 35/20 + 34/20⇒ 69/20Finding the smallest total :
⇒ 1 3/8 + 33/20⇒ 11/8 + 33/20⇒ 55/40 + 66/40⇒ 121/40Answer:
Largest Totals : 69/20
Smallest Totals : 121/40
Step-by-step explanation:
Given:
Charlie adds together two of his four number cards. Find the largest and smallest totals that Charlie can make. Give your answers as improper fractions in their simplest form.
Solve:
First let change all to improper fractions:
7/4 {already a improper fractions}
1 3/8 = 11/8
1 7/10 = 17/10
33/20 {already a improper fractions}
Thus we have:
7/4
11/8
17/10
33/20
According to the solving above ,
⇒ 70/40 , 55/40, 68/40, 66/40
⇒ 70/40 > 68/40 > 66/40 > 55/40
⇒ 7/4 > 1 7/10 > 33/20 > 1 3/8
⇒ Largest Totals : 7/4 + 1 7/10 = 69/20 = 3 9/20
⇒ Smallest Totals : 33/20 + 1 3/8 = 121/40 = 3 1/40
Since, it says given your answers as improper fractions in their simplest form:
Thus,
Largest Totals : 69/20
Smallest Totals : 121/40
RevyBreeze
what is the correct arangement of 3-6x-2x^2+3x-6x^2+2
Answer:
-8x²-3x+5
Step-by-step explanation:
First, add like terms.
3-6x-2x²+3x-6x²+2=
= 5-3x-8x²
Put it in standard form. To put in standard form, put the exponent from greatest to least.
-8x²-3x+5.
Hope this helps!
If not, I am sorry.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of function g if g(x) = f(x) − 11?
Using translation concepts, it is found that the graph of function g if g(x) = f(x) − 11 is a shift down of 11 units of function f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) − 11 represents a shift down of 11 units of function f(x).
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Subtract (0.95x minus -0.04) minus (0.99x minus 0.13).
1. What is the number of possible outcomes of picking one letter at a time from the word ANGELES CITY?
2. What is the probability of drawing E?
3. What is the probability of drawing a vowel?
4. What is the probability of drawing a consonant?
5. What is the probability of drawing P?
Answer:
4
Step-by-step explanation:
5
Explanation to answer
Answer: 2
Step-by-step explanation:
[tex]{12x+2}=\frac{18+34}{2}\\\\12x+2=26\\\\12x=24\\\\x=\boxed{2}[/tex]
If the point (7, 3) is on the graph of an equation, which statement must be true?
Answer:
The values x = 7 and y = 3 make the equation true.
Step-by-step explanation:
hope this helps
Tanya planted seedlings in her garden over the weekend. The instructions that came with the seedlings stated that they need to be planted 0.2 meters apart. Tanya has a measuring tape that has values in centimeters. Help Tanya convert meters to centimeters.
Determine the ratio to use: .
Tanya should plant the saplings 20 centimeters apart.
1 meter is equal to 100 centimeters.
Multiply the given value by the ratio: .
i think they're supposed to be in order i cant figure it out, please help ToT!!
One meter is 100 cm so Tanya should plant the saplings 20 centimetres apart.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
As we know;-
1 meter is 100 cm so 0.2 meters will be calculated as:-
1 meter = 100 cm
0.2 meter = 0.2 x 100 = 20 centimeters.
Therefore One meter is 100 cm so Tanya should plant the saplings 20 centimetres apart.
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True or False: The minimum or maximum value on the graph of a quadratic function (parabola) is identified using the x-value of the vertex.
need help on this question
Answer:
3.5 and 3½
Step-by-step explanation:
Half of 7 is positive 3.5 aka 3½. It can't be -7/2 or -3.5 because they result in a negative number. It also can't be 7.2 because that's too big of a number.
$80 gift marked up 60%
give me the answer after the markup
Answer:
128
Step-by-step explanation:
0.6 (the percentage) x 80.00= 48.00
48.00 + 80.00 = 128.00
Answer:
128
Step-by-step explanation:
60% + 100% (new price) = 160% = 1.6
80 x 1.6 = 128
What is the additive inverse of x=-1317, and verify -(-x) = x ?
Answer:
1317 is the additive inverse of x = -1317.
Step-by-step explanation:
Additive inverse of a number which when added to the original number gives zero as the result.
Additive inverse of x = -1317
-1317 + 1317 = 0
1317 is the additive inverse of x = -1317.
Verification of -(-x) = x
L. H. S
-(-x) = -{-(-1317)}
= - 1317
R. H. S
x = -1317
Thus, L.H.S. = R.H.S
-(-x) = x
Verified
1
2
4
10
01:28:2
solve x2 + 12x = -11 by completing the square. which is the solution set of the equation?
be
o {-11, -1}
o {-11, 1}
{11, -1}
o {11, 1}
Answer:
11
Step-by-step explanation:
A (-3,6) B (-1, 3) Find the gradient of the line
Step-by-step explanation:
please mark me as brainlest
Solve x - 6 = 8.
O A. x = 14 and x = -2
B. x=-14 and x = 2
OC. x 14 and x = -14
-
OD. x = -14 and x = −2
Step-by-step explanation:
please mark me as brainlest
Find the value of x. Then find the measure of each labeled angle.
Answer:
X=20; the labeled angles are 80 and 100
Step-by-step explanation:
These angles are "consecutive interior angles" so they will add up to be 180.
180 = 5x + 4x
180 = 9x
180/9 = 9/x
20=x
In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is .
If the coordinates of point A are (0,6), the area of rectangle ABEF is square units, and the area of rectangle ACDF is square units.
The perimeter of rectangle BCDE is units.
Area of the rectangle is 96.05 sq.units , The ratio of the areas is 2/3 , Area of rectangle ABEF is 64.03 sq.units.
The complete question is
In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is(a)_____ . If the coordinates of point A are (0,6), the area of rectangle ABEF is(b)____ square units, and the area of rectangle ACDF is(c)____ square units. The perimeter of rectangle BCDE is(d)____ units.
What is a Rectangle ?A rectangle is a polygon with four sides and for angles and four vertices , Its opposite sides are parallel and equal.
The area of rectangle ACDF is square units. = ?
The perimeter of rectangle BCDE is units. = ?
[tex]\rm d = \sqrt{ (y_2 -y_1 )^2 + (x_2 -x_1)^2}\\\\\rm d = \sqrt{ (2 - 6 )^2 + (5 - 0)^2}[/tex]
d = 9.605
the length of [tex]\rm EF[/tex]
[tex]\rm FE[/tex] = 10 units.
and [tex]\rm FD[/tex] = 15 units
Area of a Rectangle [tex]\rm ACDF[/tex] is given by
Length x width
10 * 9.605
Area of the rectangle is 96.05 sq.units
Perimeter of a rectangle is = 2( length + breadth)
ED = FD-FE = 15- 10 = 5 units
Therefore
Perimeter = 2 ( 5 + √41 )
Perimeter = 22.81 units
Area of rectangle ABEF is 64.03 sq.units
The ratio of the areas
= 64.03/96.05
= 0.666667
= 2/3
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The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1 . Below is the explanation
Step-by-step explanation:
Given:
The graph of f(x)=x^{2}x
2
To find:
The equation of the transformed graph g(x).
The red graph f(x) is moved right 3 units and up 1 unit to get g(x).
When graph is moved right 3 units , 3 should be subtracted with x.
When graph is moved up 1 unit, 1 is added at the end.
So, our g(x)=(x-3)^{2} +1(x−3)
2
+1
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1
These points are linear.
Find the slope.
x036912
y12345
[?]
slope =?/?
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6,3) and (x₂, y₂ ) = (9,4) ← 2 ordered pairs from the table
m = [tex]\frac{4-3}{9-6}[/tex] = [tex]\frac{1}{3}[/tex]
Please solve it. It will help me for my exam preparation.
The solution of the given expression is [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
Given [tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex]
We have to solve the above expression.
We know that expression is a combination of numbers, symbols, variables and coefficients, indeterminants. Expression shows relationship between variables. LCM is the smallest number that is divisible by both the numbers whose LCM has been taken. Coefficients are present in the beginning of variables. Symbols are arithmetic signs like addition, subtraction, multiplication and division, etc.
We have to take LCM of the expression and solve accordingly so that the expression can be solved =
[tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex]= [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
Hence the expression [tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex] is equal to = [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
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Please help me with my math
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve for z and x ~
[tex]\qquad \sf \dashrightarrow \: 82 + z = 180[/tex]
[ they form co-interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: z = 180 - 82[/tex]
[tex]\qquad \sf \dashrightarrow \: z = 98 \degree[/tex]
and
[tex]\qquad \sf \dashrightarrow \: z = (5x - 82)[/tex]
[ by Alternate interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: 98 = 5x - 82[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x = 98 + 82[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 180 \div 5[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 36 \degree[/tex]
Answer:
z = 98
x= 36
Step-by-step explanation:
z + 82 = 180 -> due to same side interior angles adding up to 180
z = 180 - 82
z = 98
z = 5x - 82 due to opposite interior angles being equal
98 = 5x - 82
98+82 = 5x - 82+82
180 = 5x
180/5 = 5x/5
36 = x
To check:
z = 5x - 82
(98) = 5(36) - 82
98 = 180 - 82
A five-digit integer will be chosen at random from all possible positive five-digit integers. What is the probability that the number's units digit will be less than 5
The probability that the number's units digit will be less than 5 is 0.5 that it is equal to 1/2.
Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
There are 10 possible digits, 0, 1, 2, ... 9 that make up the 5-digit number made up of integral values.
There are 5 digits that are less than 5 which are 0, 1, 2, 3, and 4 so the probability will be found by taking only those nubers which have unit's place less than 5,
By probability formula , Probability= no. of favourable outcomes/total no. of outcomes
So probability will be found that will be equal to 5/10, or 1/2
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A. 21.50
B. 32.25
C. 30.15
D. 20.75
Answer:
B
Step-by-step explanation:
Similar to the one you asked earlier.
Given from the table
1 Gallon of gas = $2.15
15 gallons of gas = $2.15 x 15
= $32.25 (B)
The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month. Minutes 500 750 1,000 1,250 1,500 Total Monthly Cost (in dollars) $62 $77 $92 $107 $122Choose the correct linear model that represents the total monthly cost as a function of time. A y = 0.06 x + 500, B y = 16 x + 32,C y = 62 x + 16, D y = 0.06 x + 32 .
Answer:
ytyt
Step-by-step explanation:
tyt5667
what can this be classified as?
Answer:
D. None of the Above
Step-by-step explanation:
They don't relate whatsoever
Analyze the diagram below and complete the instructions that follow.
/
Find the value of x.
A.
4
B.
5
C.
6
D.
9
Please select the best answer from the choices provided
A
B
C
D
The value of x will be 4 , Option A is the answer.
What is a Right Angled Triangle ?A triangle that has one angle as 90 degree is called a Right angled Triangle.
In a right angled triangle
the length of the sides can be determined using Pythagoras Theorem
The length of the side is given in the image attached as
x-2 , x , √20
Hypotenuse ² = Perpendicular² + Base²
(√20)² = x² + (x-2)²
20 = x² + x² +4 -4x
2x²-4x -16 = 0
x² -2x -8 = 0
x² - 4x +2x -8 = 0
x (x-4) +2(x-4) = 0
(x+2)(x-4) = 0
x = -2 , 4
The value of x will be 4 .
Therefore Option A is the answer.
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Solve the following...
6x - 5 = -9x -9
Answer:
6x - 5 = (-9x) - 9
6x + 9x = (-9) + 5
15x = (-4)
x = (-4/15)
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = -\cfrac{4}{15} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: 6x - 5 = - 9x - 9[/tex]
[ add 9x and 5 on both sides ]
[tex]\qquad \tt \rightarrow \: 6x - 5 + 9x + 5 = - 9x - 9 + 9x + 5[/tex]
[tex]\qquad \tt \rightarrow \: 6x + 9x = - 9 + 5[/tex]
[tex]\qquad \tt \rightarrow \: 15x = - 4[/tex]
[tex]\qquad \tt \rightarrow \: x = - \cfrac{4}{15} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
I’m not good at math PLEASE HELP
