[tex]\bf (x+y)^2(x-y)^2[/tex]
==============
Solving Steps:===============
[tex]\rightarrow \sf x^4-2x^2y^2+y^4[/tex]
breakdown
[tex]\rightarrow \sf x^4-x^2y^2-x^2y^2+y^4[/tex]
factor common term
[tex]\rightarrow \sf x^2(x^2-y^2)-y^2(x^2-y^2)[/tex]
collect in groups
[tex]\rightarrow \sf (x^2-y^2)(x^2-y^2)[/tex]
apply difference between two square method: x² - y² = (x+ y)(x-y)
[tex]\rightarrow \sf (x+y)(x-y) (x+y)(x-y)[/tex]
simplify
[tex]\rightarrow \sf (x+y)^2(x-y)^2[/tex]
What is the equation of the translated function, g(x), if f(x) = x2? g(x) = (x 5)2 2 g(x) = (x 2)2 5 g(x) = (x – 2)2 5 g(x) = (x – 5)2 2
Answer:
13.54
Step-by-step explanation:
Answer:
the equation of the translated function is,
g(x) = (x – 5)^2 + 2
Step-by-step explanation:
got it right on edge
math problem can somebody help!!!!
Answer:
if am correct your answer will be letter d
Step-by-step explanation:
state the dimensions of the matrix. identify the indicated element
The dimensions of the matrix are 3 by 3 i.e. 3 x 3, and the indicated element a₂₃ is -7
The dimension of the matrix?From the figure in the question, we have the following highlights:
The matrix has 3 rowsThe matrix has 3 columnsThe dimensions of a matrix are represented by: Row by column
Hence, the dimensions of the matrix are 3 by 3
The indicated elementThis is given as:
a₂₃
This means that the element is located at the second row and the third column.
The element at this position is -7
Hence, the indicated element is -7
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convert R1200 to japanese yen
Answer:
32618.30
Step-by-step explanation:
R represents Brazilian real, therefore, right now 1 real equals 27.18 yen
therefore multiply...
giving you roughly 32,618.30 yen per R1,200
(in fact, as i type this it changes)
hope this helps:)
please help asap i cannot find the answer anywhere.
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 4x − 8
y is greater than or equal to negative 5 over 2 times x plus 5
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.
Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically.
< sign so it's dotted line to be graphed .
Put (0,0)
0<0-80>-8Away from origin shading
And
y≥-5/2x+5Put 0
0≥-5/5=-1Rational function ,two side parabola type lines
Dark lines and it's shading from origin in one part and in other towards origin(Look attachment)
Graph attached
Yes (5,8) is included in solution region
Answer:
Given inequalities:
[tex]y < 4x-8[/tex]
[tex]y\geq -\dfrac{5}{2}x+5[/tex]
Part AThe graph of the system is made up of 2 straight line graphs.
The graph of [tex]y < 4x-8[/tex] is a dashed straight line with shading under the line.
The graph of [tex]y\geq -\dfrac{5}{2}x+5[/tex] is a solid straight line with shading above the line.
The solution area is the area where the shading of the two lines overlaps.
Part BTo determine if the point (5, -8) is included in the solution area, input the point into both inequalities:
[tex]\begin{aligned}y & < 4x-8\\\implies -8 & < 4(5)-8\\-8 & < 20-8\\-8 & < 12 \quad \leftarrow \textsf{correct}\end{aligned}[/tex]
[tex]\begin{aligned}y & \geq -\dfrac{5}{2}x+5\\\implies -8 & \geq -\dfrac{5}{2}(5)+5\\\implies -8 & \geq -7.5 \quad \leftarrow \textsf{incorrect}\end{aligned}[/tex]
Therefore, the point (5, -8) is not included in the solution area as it is only true for one inequality.
The perimeter of a rectangular garden is 264 m.
If the width of the garden is 56 m, what is its length?
Length of the garden:__m
Step-by-step explanation:
Perimeter of garden = 264 m
width of the garden = 56 m
length of the garden = ?
Now..
Perimeter = 2 ( l + b )
264m = 2l + 112
264 - 112 = 2l
152 = 2l
l = 152 / 2
l = 76 m
Hence the length is 76m
[tex]...[/tex]
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
f(x)=(x-3)(x+8
a) x-intercepts are _________
b) midpoint of the x-intercepts is ___________
c) the extreme value is _______________
d) f(_) = ______________
Answer:
See belowStep-by-step explanation:
The x-intercepts are the points with y- coordinate of 0
(x - 3)(x + 8) = 0x - 3 = 0 or x + 8 = 0x = 3 or x = - 8a) x-intercepts are
3 and - 8b) midpoint of x-intercepts is
(3 - 8)/2 = - 5/2 = - 2.5c) The extheme value has x- coordinate of - 2.5 and y- coordinate
(-2.5 - 3)(- 2.5 + 8) = (-5.5)(5.5) = - 30.25d) f(- 2.5) = - 30.25
Answer:
[tex]\sf a) \quad x = -8 \:\:and \:\:x = 3[/tex]
[tex]\sf b) \quad \left(-\dfrac{5}{2},0\right)[/tex]
[tex]\sf c) \quad \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)[/tex]
[tex]\sf d) \quad f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}[/tex]
Step-by-step explanation:
Part (a)
The x-intercepts are the x-values when the curve crosses the x-axis, so when the function is equal to zero:
[tex]\implies f(x)=0[/tex]
[tex]\implies (x-3)(x+8)=0[/tex]
Therefore:
[tex](x-3)=0 \implies x=3[/tex]
[tex](x+8)=0 \implies x=-8[/tex]
Therefore, the x-intercepts are x = -8 and x = 3
Part (b)
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
[tex]\sf \implies Midpoint=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-\dfrac{5}{2},0\right)[/tex]
Therefore, the midpoint of the x-intercepts is (-5/2, 0)
Part (c)
The extreme value is the vertex. The vertex is:
the minimum point if the parabola opens upwardsthe maximum point if the parabola open downwardsThe x-coordinate of the vertex is the x-value of the midpoint of the x-intercepts. Therefore, the x-value of the extreme value is x = -5/2.
To find the y-coordinate, substitute this into the given equation:
[tex]\implies \sf y=\left(-\dfrac{5}{2}-3\right)\left(-\dfrac{5}{2}+8\right)=-\dfrac{121}{4}[/tex]
Therefore, the extreme value is:
[tex]\sf \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)[/tex]
Part (d)
The function in vertex form is:
[tex]\sf f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}[/tex]
[tex]\begin{aligned}\implies \sf f\left(-\dfrac{5}{2}\right)& = \sf \left(-\dfrac{5}{2}+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\\\\ & = \sf 0 -\dfrac{121}{4}\\\\ & = \sf -\dfrac{121}{4} \end{aligned}[/tex]
WORTH 20 POINTS PLS HURRY
A sentence with antonyms has two words with
somewhat different meanings
opposite meanings
similar meanings
the same meanings
Answer:
opposite meanings
Step-by-step explanation:
antonyms usually means a word that's the opposite of another word. Examples: hot is the opposite of cold and cold is the opposite of hot
please help.
Enter the values needed to find the
length AB. (Simplify your answer.)
A (-5x, 4y)
AB = (3x)2 + ([?])
?
D
C (7x, -1y)
E
Distance Formula
B (-2x, l-4y)
d = (x2 - x;)2 + (x2 - y)?
Answer: 8y
Step-by-step explanation:
The values needed to find the length AB will be;
⇒ AB = √(3x)² + (- 8y)²
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The coordinate are,
⇒ A = (- 5x, 4y)
⇒ B = (- 2x, - 4y)
Now,
Since, We know that;
The distance between the points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
So, The distance between the points (- 5x, 4y) and (- 2x, - 4y) is,
⇒ d = √ (- 2x - (- 5x))² + (- 4y - 4y)²
⇒ d = √(3x)² + (- 8y)²
Thus, The values needed to find the length AB is find as;
⇒ AB = √(3x)² + (- 8y)²
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3700 people attended a baseball game. 1295 of the people attending supported the home team, while 2405 supported the visiting team. What percentage of people attending supported the home team?
35% of the people support the home team at a baseball game.
As mentioned in the question,
3700 people attended a baseball game. 1295 of the people attending supported the home team, while 2405 supported the visiting team.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Total of people = 3700
People who support the home team = 1295
People who support the visiting team = 2405
Percentage of home support = 1295 / 3700 × 100
= 35%
Thus, 35% of the people support the home team at a baseball game.
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Help me find the figure , area formula and the area
Answer:
We are given a length of 27 cm and a width of 16 cm and we can also see that our figure is a rectangle. This means that we are able to use the area formula for the rectangle which is [tex]A=l*w[/tex].
Therefore, we can just multiply 27 cm by 16 cm and we get [tex]A = 432\ cm^2[/tex]
Hope this helps! Let me know if you have any questions
Enter the value of x that makes the equation −11(x + 4) + 10x = 27 true
Answer:
x = - 71
Step-by-step explanation:
-11x -44 + 10 x =27
-x = 71
x = - 71
Answer:
-71
Step-by-step explanation:
You can first distribute the numbers in the parenthesis.
-11x-44 (-11*x-11*4)
-11x-44+10x=27
You can now combine like terms.
-11x+10x=-1x
-1x-44=27
This is now a two-step equation problem.
-1x-44=27
+44=+44
-1x=71
[tex]\frac{-1x}{-1}[/tex] =[tex]\frac{71}{-1}[/tex]
x=-71
One side of a square is 10 units. Which is greater, the number of square units for the area of the square or the number of units for the perimeter? Explain.
Given:
[tex]\text{Side of }\square \ \text{= 10 units}[/tex]
Area of square:
The area of the square can be determined by using the formula "(side)²".
⇒ Area of square = (side)²
⇒ = (10)² [Side = 10 units]
⇒ = (10)(10)
⇒ = 100 units²
Therefore, the area of the square is 100 units².
Perimeter of square:
The perimeter of the square can be found by using the formula "4(side)".
⇒ Perimeter of square = 4(side)
⇒ = 4(10)
⇒ = 4 × 10
⇒ = 40 units
Furthermore, the question says:
Which is greater?
- The number of square units (100) for the area of the square.
- The number of units (40) for the perimeter
Conclusion: Since 100 is greater than 40, the number of square units for the area of the square is greater than the number of units for the perimeter.
Which graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0?
X2-
X-2+
Y
The graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0 is the graph attached.
What is one-sided limit for function?It should be noted that the limit from one side is simply when the side of the functions is used with respect to the point of interest.
For this graph, the point x = 2 on the left from the point x = 2 lies a ray. The prediction here is that the value of function on x = 2 us the value that the line gives for y.
Therefore, the graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0 is attached.
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which set of sides would make a right angle ?
Answer:
It's A 5 12 & 13 make a right angle
i need the answer to this question please
Answer:
B and C
Step-by-step explanation:
Hope it helps
Which expression is equivalent to P/6 +(q+8)
A good’s demand is given by: p = 479 – 2q. At p = 80, the point price elasticity is:
If the value of the p is 80 and the equation is p = 479 – 2q. Then the price point of the elasticity is 199.5.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A good’s demand is given below.
p = 479 – 2q
At p = 80, the point price elasticity will be
80 = 479 – 2q
2q = 479 – 80
2q = 399
q = 199.5
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Graph the following features: Y-intercept = 3 Slope 4/3
Answer:
Y = 4/3x + 3
Step-by-step explanation:
Hi, I am not sure if you want me to grah this or not. However, I have still provided you with the formula for this line.
WILL GIVE BRAINLIST TO BEST ANSWER
Determine whenever each statement about the scatter plot is true or false
The plot shows an outlier value when the time studied is equal to 75 minutes
Answer:False
Step-by-step explanation:
Jack can program an app in 9 hours. Chris can program the same app in 8 hours. How long would it take them to program the same app working together?
The time it will take Jack and Chris to program the app when they work together is 4.24 hours.
What is a rate?Rate is a ratio that compares two different quantities which have different units.
Jack program an app in 9 hours. Therefore, the rate is as follows;
1 / 9
Chris can program the same app in 8 hours. Therefore, the rate is as follows;
1 / 8
When they do it together.
1 / 9 + 1 / 8 = 8 + 9/ 72 = 17 / 72
1 / t = 17 / 72
cross multiply
72 = 17 t
t = 72 / 17
t = 4.23529411765
t = 4.24
Therefore, the time it takes for both of them is 4.24 hours.
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What is the slope of the line represented by the equation?
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{2}}x+\cfrac{1}{4}\qquad \impliedby \qquad \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]
ayuda con esto ;v
9 6
- = -
6 X
Answer:
124 amigo dame corona no e tenido
find the missing angles.
Answer:
1. 37 degrees, 2. 39 degrees, 3. 27 degrees
Step-by-step explanation:
You look at the total angle and subtract it by the angle that is given in the question since the two angles should add up to the whole angle of both. You should look at the number that is outside the angles and subtract it by the angle number inside then you will get the missing angles. The last one it is showing a 90 degree angle which is formed so you subtract 63 from 90.
Please Hurry!!
Find the measure of WOV. Which angle relationship did you use?
Answer:
angle wov=90-30angle wov=90-30=60( by 90 degree given in figure
sum of wox+wov=vox
2). A bag contains 50 pieces of gum flavored cherry, grape, and watermelon.
William will randomly pick a piece of gum,
1
• The probability of picking cherry is 5.
7
• The probability of picking watermelon is 10.
What is the probability William will pick a piece of grape gum?
Find the Volume! ^^
(Giving brainiest)
Answer:
The total volume of the composite figure is 420 ft³.
Step-by-step explanation:
I'm not sure but I solved it as fast as I could
I apologize if it's incorrect :(
Work out the length of x
Answer:
x=2
Step-by-step explanation:
x=14cm/7cm
x=2cm
waakan jawaabta kafaa ideesi wcan
Please help me will mark brainleist
Only answer if you know, thank you!
Using the triangle inequality theorem, the set of lengths that meet all the requirement is: 3, 4, 5, 7.
What is the Triangle Inequality Theorem?The triangle inequality theorem states that the sum of any of the two sides of a triangle must be equal or greater than the third side, i.e. if a, b, and c are sides of a triangle, then:
a + b ≥ cb + c ≥ aa + c ≥ bIf we have the following set of numbers, 3, 4, 5, 7.
Set 3, 4, 5 will give us:
3 + 4 ≥ 54 + 5 ≥ 33 + 4 ≥ 5This means 3, 4, 5 will form a triangle.
Set 4, 5, 7 will give us:
4 + 5 ≥ 75 + 7 ≥ 47 + 4 ≥ 5This means 4, 5, 7 will form a triangle.
Set, 3, 5, 7 will give us:
3 + 5 ≥ 75 + 7 ≥ 37 + 3 ≥ 5This means 3, 5, 7 will form a triangle.
Set 3, 4, 7 will give us:
3 + 4 ≥ 74 + 7 ≥ 37 + 3 ≥ 4This means 3, 4, 7 will form a triangle.
Therefore, we can conclude that the set of lengths, 3, 4, 5, 7, meets all the requirements.
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If f(x) = 2x2 1, what is f(x) when x = 3? 1 7 13 19
In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.
Hence D)19 Is the correct answer.
What is an Equation?An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
f(x) = 2x² + 1, what is (fx) when x = 3
We substitute 3 for x in the equation
f(x) = 2(3)² + 1
f(x) = 2(9) + 1
f(x) = 18 + 1
f(x) = 19
In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.
Hence D)19 Is the correct answer.
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Answer:
19
Step-by-step explanation:
did the test on edge
