Since we are to complete the square, therefore I believe the correct given should be:
x ^ 2 – 11 x
Take note of the symbol ^ which denotes that 2 is an exponent of x.
The general form of a binomial equation is in the form of:
a x^2 + b x + c
Where in this case:
a = 1
b = -11
c = unknown
To complete the square, we have to find for the value of c. This is calculated using the formula:
c = (b / 2) ^ 2
c = (-11 / 2) ^ 2
c = 30.25
Therefore the complete equation is:
x ^ 2 – 11 x + 30.25
30.25 is correct but apex asks for a fraction so 121/4
Why is the mean greater than the median in right skewed?
Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x?
4x^2 + 216x + 2,592 = 0
4x^2 + 216x − 684 = 0
2x^2 + 216x − 3,276 = 0
x^2 + 108x + 3,276 = 0
The quadratic equation that can be used to determine the thickness of the border, x is 4x² + 216x - 684 = 0
Which quadratic equation can be used to determine the thickness of the border, x?
From the question, we have the following parameters that can be used in our computation:
Length = 72
Width = 36
Border = x
Area = 3276
The area can be represented as
Area = (Width + 2x) * (Length + 2x)
Substitute the known values into the equation
(36 + 2x) * (72 + 2x) = 3276
Expand
4x² + 216x + 2592 = 3276
So, we have
4x² + 216x + 2592 - 3276 = 0
4x² + 216x - 684 = 0
Hence the quadratic equation is 4x² + 216x - 684 = 0
A model rocket is launched with an initial upward velocity of 32 m/s. The rocket's height h (in meters) after t seconds is given by the following.
h=32t-5t^2
Find all values of t for which the rocket's height is 10 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
0.33 and 6.07
Step-by-step explanation:
Find the constant sum for an ellipse with foci F1 (0, -12), F2 (0, 12) and the point on the ellipse (9, 0).
The base of a pyramid covers an area of 13.3 acres (1 acre = 43,560 ft2) and has a height of 473 ft. if the volume of a pyramid is given by the expression v = bh/3, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters.
The two-way table shows the number of students in a school who have hamsters and/or dogs as pets.
Have Hamsters
Do Not Have Hampsters
Total
Have Dogs
16
24
40
Do Not Have Dogs
25
35
60
Total
41
59
100
How many more students have hamsters than dogs?
1
5
8
9
Answer:
1
Step-by-step explanation:
There are a total of 16+25 = 41 students that own hamsters.
There are a total of 16+24 = 40 students that own dogs.
This is a difference of 41-40 = 1.
Answer: 1
Step-by-step explanation:
Total number of students that own hamsters 16+25 = 41.
Total of students that own dogs 16+24 = 40.
To get how many more students own hamsters than dogs, we find the difference;
That is 41-40 = 1.
Good luck
Use graphs and tables to find the limit and identify any vertical asymptotes of the function
lim x->4^- x/x-4
What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?
-2/x+1
the / is a fraction symbol xxx
The student came to the conclusion that the system has infinitely many solutions, which is not correct. Describe the error was the student work being shown.
The graph represents this piecewise function
Answer:
Step-by-step explanation:
Given is a piecewise graph.
From the graph we find that the domain is [-3,1]
From [-3,-1) the line is slant passing through (-3,0)(-2,1)
Slope =change in y/change in x = 1
Equation is y = x+3
Thus the function is x+3 for -3≤x<-1
and 5, -1≤x≤1
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 6 vans and 8 buses with 202 students. High School B rented and filled 12 vans and 10 buses with 284 students. Each van and each bus carried the same number of students. How many students can a van carry?How many students can a bus carry? please show work thank you.
A number is *K* units to the left of 0 on the number line. Describe the location of its opposite
How would you represent 3 quarter notes as a fraction?
12 sixteen notes have a nice day
Estimate 12.56+12.69 using front-end estimation.
A. about $25.30
B. about $26.30
C. about $26.80
D. about $23.80
Lola takes the train from Paris to Nice. The distance between the two cities is about 921,000 meters. If the train travels at a speed of 307 kilometers per hour, how long will it take Lola to travel from Paris to Nice
Answer:
First,you need to convert 307km/hr into 85.2 meter per second.The formula for finding time is the distance divided by the speed.So,the answer is 10809 second,about 3 hours.
What are the rules for adding and subtracting negative numbers?
I don't understand how we do this PLEASE help me!!!
28 = (45 + KL)/2
56 = 45+ KL
KL = 56-45
KL = 11
A baseball pitcher pitches a ball at the speed of 83 mph what conversion factors can be used to find the speed of the ball in feet per second
Answer: [tex]121.73\text{ feet per second}[/tex]
Step-by-step explanation:
Given : The speed of a baseball pitcher = 83 mph
or 83 miles per hour
Since , we know that
1 mile= 5280 feet
1 hour = 3600 seconds
Then, 83 miles per hour = [tex]\dfrac{\text{83 mile}}{\text{1 second}}=\dfrac{83\times5280\text{ feet}}{1\times3600\text{ seconds}}[/tex]
[tex]\approx121.73\text{ feet per second}[/tex]
Hence, the speed of the ball in feet per second = [tex]121.73\text{ feet per second}[/tex]
what is the answer to this equation 2(3-X)=-16
Syreeta wants to buy some cds, each costing $14, and a dvd that costs $23. she has $65 to spend. write an equation to find how many cds she can buy
Answer:
14x+23y=65
Step-by-step explanation:
let cds=x and dvds=y
14x+23y=65
What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve.
Consider the equation [tex] x^6+6x^3+5=0 [/tex].
First, you can use the substitution [tex] t=x^3 [/tex], then [tex] x^6=(x^3)^2=t^2 [/tex] and equation becomes [tex] t^2+6t+5=0 [/tex]. This equation is quadratic, so
[tex] D=6^2-4\cdot 5\cdot 1=36-20=16=4^2,\ \sqrt{D}=4,\\ \\ t_{1,2}=\dfrac{-6\pm 4}{2} =-5,-1 [/tex].
Then you can factor this equation:
[tex] (t+5)(t+1)=0 [/tex].
Use the made substitution again:
[tex] (x^3+5)(x^3+1)=0 [/tex].
You have in each brackets the expression like [tex] a^3+b^3 [/tex] that is equal to [tex] (a+b)(a^2-ab+b^2) [/tex]. Thus,
[tex] x^3+5=(x+\sqrt[3]{5})(x^2-\sqrt[3]{5}x+\sqrt[3]{25}) ,\\x^3+1=(x+1)(x^2-x+1) [/tex]
and the equation is
[tex] (x+\sqrt[3]{5})(x^2-\sqrt[3]{5}x+\sqrt[3]{25})(x+1)(x^2-x+1)=0 [/tex].
Here [tex] x_1=-\sqrt[3]{5} , x_2=-1 [/tex] and you can sheck whether quadratic trinomials have real roots:
1. [tex] D_1=(-\sqrt[3]{5}) ^2-4\cdot \sqrt[3]{25}=\sqrt[3]{25} -4\sqrt[3]{25} =-3\sqrt[3]{25} <0 [/tex].
2. [tex] D_2=(-1)^2-4\cdot 1=1-4=-3<0 [/tex].
This means that quadratic trinomials don't have real roots.
Answer: [tex] x_1=-\sqrt[3]{5} , x_2=-1 [/tex]
If you need complex roots, then
[tex] x_{3,4}=\dfrac{\sqrt[3]{5}\pm i\sqrt{3\sqrt[3]{25}}}{2} ,\\ \\x_{5,6}=\dfrac{1\pm i\sqrt{3}}{2} [/tex].
What is 51/4 ÷ 22/7 ? A. 1219/64 B. 219/64 C. 2 D. 12
B is correct :
5 1/4 = 21/4
2 2/7=16/7
21/4x7/16=147/64=2 19/64
One key advantage for including multiple predictor variables in the equation of a regression line is that it allows you to
Find the distance between the points with coordinates (5, 7) and (-3, 1)
The function F(x) = 6x-2/5 is an example of a rational function.
A. True
B. False
The function F(x) = (6x-2)/5 is an example of a rational function.
Explanation:The function F(x) = (6x-2)/5 is an example of a rational function. A rational function is a function that can be expressed as the quotient of two polynomial functions, where the denominator is not equal to zero.
In this case, the function F(x) has a numerator of 6x-2 and a denominator of 5. Both the numerator and denominator are polynomial functions since they involve multiplication, addition, and subtraction of terms with x.
Therefore, the function F(x) = (6x-2)/5 is indeed a rational function, so the correct answer is True.
The function F(x) = (6x-2)/5 is an example of a rational function because it can be expressed as a ratio of two polynomials.
Function F(x) = (6x-2)/5 is an example of a rational function because it is a ratio of two polynomials. The numerator, 6x-2, is a linear polynomial, and the denominator, 5, is a constant polynomial.
To determine if a function is rational, we check if the function can be expressed as a quotient of two polynomials. In this case, F(x) is a ratio of a linear polynomial, 6x-2, and a constant polynomial, 5.
Therefore, the statement is True.
Determine algebraically whether the function is even, odd, or neither even nor odd.
f as a function of x is equal to 2 divided by x squared.
Neither
Even
Odd
Answer:
Even
Step-by-step explanation:
A function is said to be even function if we put -x instead of x and we get the same result of both function. i.e. f(-x) = f(x)
A function is said to be odd function if we put -x instead of x and we get the result as negative of that function. i.e. f(-x) = -f(x)
Now we have function, f(x) = [tex]f(x) = \frac{2}{x^{2}}[/tex]
Now putting -x in place of x
[tex]f(-x) = \frac{2}{(-x)^{2}}\\ = \frac{2}{x^{2}} = f(x)[/tex]
Hence, given function is an Even function.
simplify the expression. 7m^2+6.5n-4n+2.5m^2-n
A.) 1.5m^2+4.2n
B.)4.2m^2+1.5n
C.)1.5m^2-4.2n
D.)4.2m^2-1.5n
How many lines of symmetry does a regular octagon have?
When BA = 10 ft, find the area of the region that is NOT shaded. Round to the nearest whole number.
A) 52 ft^2
B) 262 ft^2
C) 43 ft^2
D) 305 ft^2
Work the following pricing problems for services rendered. (For all calculations use hundredths.)
Labor time = 8 hours
Overhead rate = 65%
Retail price of parts = $98.70
Total cost of job = $242.58
What is hourly rate for labor?
a=27.67
b=13.32
c=10.90
d=117.08
Answer:
10.90
Step-by-step explanation: