The formula needed to transform a quadratic polynomial or equation into a perfect square with an additional constant is known as the square formula. It is expressed as, [tex]ax^2 + bx + c = a(x + m)^2 + n[/tex], where, m and n are real numbers.
What does math's "completing the square" mean?When a square is complete, a quadratic is written in the shape of a squared bracket, and if necessary, a constant is added. A good example is [tex]x^2 + 6x + 7[/tex] . First, let's note that [tex](x + 3)^2 = (x + 3)(x + 3) = x^2 + 6x + 9. x[/tex] because this is two more than our expression.
Quadratic Equation: What Is It?The polynomial equations of degree two in one variable of type[tex]f(x) = ax^2 + bx + c = 0[/tex] and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f(x).
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can anybody help me please :(
Answer:
A, D, C, B
Step-by-step explanation:
A = 3/4 + 5/4 = 8/4 = 4
B = 7/4 + 5/2
= LCM of 4 and 2 = 8
= 14/8 + 20/8 = 34/8 =17/4
C = 4/3 + 5/3 = 9/3 = 3
D = 11/3 - 4/3 = 7/3
A=4, B=17/4, C=3, D=7/3
LCM of 4 and 3 is = 12
= 16/12, 51/12, 36/12, 28/12
Sorry if I am wrong :)
Answer:
A=4, B=17/4, C=3, D=7/3
Step-by-step explanation:
I NEED THIS QUICK PLEASE!!!!!!!
20 POINTS!!!!
Answer:
option 4 (D)
Step-by-step explanation:
In a charity marathon to raise money for Typhoon Ulysses, Alex finished 43rd out of 200 entrants. Find his percentile rank.
The percentile rank in a charity marathon to raise money for Typhoon Ulysses is 21.5 percentile.
What is the Percentile?A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found.
Rank of Alex is 43rd
Total Entrants is 200
Percentile = Rank of Alex X 100 / Total Entrants
= 43 X 100 / 200
= 21.5 percentile
Thus, the percentile rank in a charity marathon to raise money 21.5 percentile.
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Complex mathematical
A) [tex]$x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i$[/tex]
B) [tex]$y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i$[/tex]
c) [tex]$y-z=(\sqrt{3}-1)-\sqrt{3} i$[/tex]
are the value of given algebraic expression.
What is Complex Number?The numbers which can be expressed in the form of [tex]$x+iy[/tex] where, [tex]$x, y$[/tex] are real numbers and 'i' is an imaginary number called "iota".
here [tex]$\mathrm{i}$[/tex] is iota whose value is: [tex]$\mathrm{i}=\sqrt{-1}[/tex]
Given .
[tex]$$\begin{aligned}& x=1+\sqrt{3}+2 i \\& y=\sqrt{3}-(1+\sqrt{3}) i \\& z=1-i\end{aligned}$$[/tex]
upon solving two complex number we solve coefficient of iota together and real number together.
A) to find [tex]$(x+y)$[/tex]
[tex]$$\begin{aligned}& x+y=(1+\sqrt{3}+2 i)+(\sqrt{3}-i-\sqrt{3} i) \\& x+y=(1+2 \sqrt{3})+(2-1-\sqrt{3}) i \\& x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i\end{aligned}[/tex]
B) [tex]$\mathbf{y}+\mathbf{z}$[/tex]
[tex]$$\begin{aligned}& y+z=(\sqrt{3}-i-\sqrt{3} i)+(1-i) \\& y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i\end{aligned}[/tex]
c) [tex]$\mathbf{y}-\mathbf{z}$[/tex]
[tex]$$\begin{aligned}& y-z=(\sqrt{3}-i-\sqrt{3} i)-(1-i) \\& y-z=(\sqrt{3}-1)-\sqrt{3} i\end{aligned}[/tex]
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Three long-sleeve T-shirts sell for $14.97 What is
the unit price? Write and solve an equation using
a variable
Answer:3x=4.99
Step-by-step explanation: 14.97/3= 4.99
Please help me solve this
-show you work
Answer:
Download Photo math for help, it works really well and it shows the work.
Which ordered pair represents the solution to the system of linear equations?
Answer:
0,2
Step-by-step explanation:
because because it crosses the x-axis line only one time
s/4 +5=13
How do i solve thissssssss
[tex]\dfrac{s}{4} +5=13[/tex]
Simplify:
[tex]\dfrac{1}{4} s+5=13[/tex]
Subtract 5 from both sides:
[tex]\dfrac{1}{4} s+5-5=13-5[/tex]
[tex]\dfrac{1}{4} s=8[/tex]
Multiply both sides by 4:
[tex]4\times(\dfrac{1}{4} s)=4\times(8)[/tex]
[tex]\fbox{s = 32}[/tex]
s = 32.
Step-by-step explanation:1. Write the expression.[tex]\frac{s}{4} +5=13[/tex]
2. Subtract 5 from both sides of the equation.[tex]\frac{s}{4} +5-5=13-5\\ \\\frac{s}{4} =8[/tex]
3. Multiply by "4" on both sides of the equation.[tex]\frac{s}{4}*4 =8*4\\ \\s=32[/tex]
4. Verify.If the result is correct, then the equation should return the same value of both sides of the equal symbol (=) when we substitute the variable "s" by it's calculated value, 32.
[tex]\frac{(32)}{4} +5=13\\ \\8+5=13\\ \\13=13[/tex]
As you can tell, the same number appears on both sides of the equal symbol, this means that the result is correct!
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Is there anyone who can help with this Statistic assignment?
Choose a topic for you survey.
Determine and write 5 relevant questions to include in your survey.
* Write 2 flawed survey questions and identify what makes each one flawed. Then rewrite each question so it is no longer flawed.
*Write 3 survey questions that are not flawed.
Choose and describe an appropriate sampling method and explain why this method was chosen and how it will ensure an unbiased sample.
Answer:
The difference between a flawed and non-flawed survey question is usually bias; you don't want the question to seem like it's leading the reader to any one answer, it should be worded neutrally. The best method to find non-biased samples is to select your samples randomly.
standard equation for hyperbola with vertices (-2, 1), (2, 1) and foci (-3, 1) (3,1)
Will give brainliest
Answer:y=(x+3)2−17
Step-by-step explanation: 3,11 5,15
with a 5% sale discount the price of an item is $38 what was the original price
Answer:
[tex]38 \div5 \\ [/tex]
I don’t understand this ssshh
After evaluating the given expressions the results could be 245 / 89 , 43/6, 33/4 .
What is expression ?
expression can be defined as with the minimum of two variables or numbers and at least one math operation.
Given that ,
7/ 8 * 14 / (3/8 * 6 ) + 2 1/5
= (7/8 * 14 )/ ((18 / 8) + 11/5)
= (98/ 8 ) / (90 + 88) / 40
= (98/ 8 ) / (178/ 40)
= (98 * 40) / (8* 78)
= 245/89
Hence the final value could be 245/53.
7/ 8 + (6*7/8 - 4 * 3/16 ) / (3/4 )
(7/8 + (21/4 - 3/4 ) ) / (3/4)
(7/8 + 18/4) / (3/4)
(43/8) / (3/4)
43/6
Hence the final value could be 43/6.
3 1/7 * (3 1/3 * (2/3 + 1/6 ) - 5/18 ) / 2 (3/7)
11/7 * (10/6 - 5/18) / (17/7)
(11/7 )* (27/ 18) /( 17/7)
(11* 27/18 )/ (17)
33/34.
Hence the final value could be 33/34.
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Which TRANSFORMATION is represented by
this rule? Circle one below:
(x, y) - (x+3, y - 7)
Translation, Rotation, Dilation, or Reflection
I’ll give you 20 points
9514 1404 393
Answer:
Translation
Step-by-step explanation:
When constant values are added to x and/or y, the result is translation.
Given the trapezoid PQRS …. Please i need help ASAP.
What is the slope of a line that is parallel to the graph of the function below.
y = 1/4x-3
Answer:
The slope of a line that is parallel to the graph of the function below is 1/4x
Step-by-step explanation:
The only way you can have a line that stays parallel to another is if they have the same slope, and the slope of them both is 1/4x
Which fraction is represented by the red portion of the picture?
A. 3/8
B. 2/3
C. 5/3
D. 3/5
E. 1/2
F. 3/2
NO LINKS PLEASE
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
52s is the maximum time that she can take on her last lap and still make the team.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).
The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
We need to find the maximum time (in seconds) that she can take on her last lap and still make the team
Let x be the maximum time (in seconds) that she can take on her last lap
60=(63+62+65+58+x)/5
300=63+62+65+58+x
300=248+x
Subtract 248 on both sides
300-248=x
x=52s
Hence, 52s is the maximum time that she can take on her last lap and still make the team.
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1010101010101010010101001010100101100101010+40
Answer:
1.010101e+42
Step-by-step explanation:
Answer:
1010101010101010010101001010100101100101050
Step-by-step explanation:
1010101010101010010101001010100101100101010+40=1010101010101010010101001010100101100101050
1. Can the following quadratic equation be solved by factoring?
x² - x-3=0
yes
no
Answer: No. This equation can't be solved by factoring
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
Answer:
g is decreasing for all x less than or equal to -1
Step-by-step explanation:
The graph of the function y = |x| looks like a "vee."
g(x) = |x + 1| - 7 moves that graph 1 unit to the left (I know, it looks backwards!) and down 7 units. See attached image.
Function g(x) is decreasing for all [tex]x \le -1[/tex].
Answer:
on edg3
Step-by-step explanation:
Find the length of c to the nearest tenth using the Pythagorean theorem
Answer:
c = 10.6
Step-by-step explanation:
c² = a² + b²
c² = 7² + 8²
c² = 49 + 64
c² = 113
Take the square root of both sides
c = 10.6301458127
Rounded
c = 10.6
1/4×1/12 ÷ 1 page = blank
1page
Answer:
0.02083333333
Please helping faster if you know please?!!!!!!
Which facts are true for the graph of the function below? Check all that apply.
F(x) = 3 • 4*
A. The range of F(x) is y> 4.
B. The y-intercept is (0,4).
c. It is decreasing.
D. The domain of F(x) is all real numbers.
E. It is increasing.
F. The y-intercept is (0,3).
Malia signed up for a gym membership 14 weeks after Jane.
Let a represent the number of weeks Malia has been a member and b represent
the number of weeks Jane has been a member.
Find the value of b when a = 9.
When Malia joined a gym 14 weeks after Jane did, the value of b was 5.
What does "proportional relationship" mean?Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them.
What is a good illustration of an unproportional relationship?A car's fuel capacity and efficiency, as well as how far it can go on a single charge of its electric battery, are important considerations. A nonproportional connection can be used to describe this.
a + b = 14
9 + b = 14
b = 14-9 = 5
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ZAOC measures 150°. OC is 20° clockwise from the negative x-axis, as shown. If ZAOC is rotated
60° counterclockwise, what angle does OC make with the x-axis?
Answer:
40 degrees clockwise.
Step-by-step explanation:
If we rotate 150 degrees counterclockwise by 60 degrees , we would end up at 210 so
210-170=40 degrees
It would be clockwise.
Please help me this is timed
Answer:
118
Step-by-step explanation:
Answer: 118
Step-by-step explanation:
4(5)^2+3(6)
4(25)+3(6)
100+3(6)
100+18
118
Use the rectangular prism to answer the question.
Choose all the expressions that can be used to find the volume of the rectangular prism.
A 12 +12
OD 6 + 8 + 12
B 16 +16
E 6 + 6 + 6 + 6
C. 8+8+8
Answer:
Step-by-step explanation:
E
) If x, x+10 makes a right angle, find them.
Answer:
x+x+10=90 being Right angle triangle.
2x=90-10
2x=80
x =40
then x+10= 40 + 10
= 50
Jose rode his bike for 18 miles in one hour.
Which graph best represents y, the number of
miles a Jose can travel in x hours?
Thors
Distance
Need H