Complete the square by adding the correct missing term on the left, then factor as indicated:
x²+x+________=(______)²
Answers
Answer:
Missing term [tex]\dfrac{1}{4}[/tex]
Factored term on RHS: [tex]$(x+\dfrac{1}{2})^{2}$[/tex]
Step-by-step explanation:
Related Questions
Unless specified, all approximating rectangles are assumed to have the same width. Evaluate the upper and lower sums for f(x) = 1 + cos - SXST, with n = 3, 4, and 6. Illustrate each case with a sketch similar to the figure shown below.
Answers
The upper and lower sums for f(x) = 1 + cos - SXST, with n = 3, 4, and 6 is 10.1913798 and 10.19913798.
What is upper and lower sums?
Using rectangles that are both enscribed in and circumscribed by a curve, we may approximate the area under a curve. The total area of the rectangles that are inscribed is the lower sum, while the total area of the rectangles that are circumscribed is the higher sum.
[tex]$n=6: \quad \Delta x=\frac{2 \pi}{6}$[/tex]
[tex]\begin{aligned}& \text { Lower sum }=\frac{2 \pi}{6}\left[f(-\overline{4})+f\left(-\frac{2 \pi}{3}\right)+f\left(-\frac{\pi}{3}\right)+f(0)+f\left(\frac{\pi}{3}\right)+f\left(\frac{2 \pi}{3}\right)\right] \\& c_6=\frac{2 \pi}{6}[1+1.5+1.8660256+2+1.8660254+1.5] \\& c_6=10.1913798\end{aligned}[/tex]
upper sum:
[tex]\begin{aligned}& =\frac{2 \pi}{6}\left[f\left(-\frac{2 \pi}{3}\right)+f\left(-\frac{\pi}{3}\right)+f(0)+f\left(\frac{\pi}{3}\right)+f\left(\frac{2 \pi}{3}\right)+f(\pi)\right] \\R_6 & =\frac{2 \pi}{6}[1.5+1.8660254+2+1.8660254+1.5+1] \\R_6 & =10.1913798]\end{aligned}[/tex]
To learn more about upper and lower sums visit:https://brainly.com/question/17019015
#SPJ4
Where, if anywhere, does h(x) = m(x) when h(x) = (x+2)^2-9 and m(x) = x-10
Answers
Answer:
Where, if anywhere, does h(x) = m(x) when h(x) = (x+2)^2-9 and m(x) = x-10
wut do i have to find
Step-by-step explanation:
A diver starts out at 426 feet below the surface (or -426 feet). She then swims upward 212 feet. Use a signed number to represent the diver's current depth
Answers
Step-by-step explanation:
this is a college question ?
oh, my dear ...
we start at -426 ft.
swimming upwards reduces depth by adding hight.
so,
-426 + 212 = -214 ft
basically the same method is used as if we would subtract 212 from 426.
so, the diver is currently at -214 ft (214 ft below the surface).
Can somebody help asap I need the steps as well !!!
Answers
The total addition of numbers is, 53975687481.
What is addition of numbers?
The other three fundamental arithmetic operations are subtraction, multiplication, and division. Addition is one of these four operations. The total sum or value obtained by adding two whole numbers is the result of the addition.
For the given addition first add the digits on 1st place.
7 + 7 + 7 + 7 + 2 + 2 + 2 + 1 + 8 + 7 + 1 = 51
Take 1 as it is and add 5 on the 10th place numbers.
Now add 10th place numbers,
6 + 6 + 8 + 8 + 2 + 3 + 4 + 4 + 6 + 6 + 5 = 58
Take 8 as it is and add 5 to the 100th place numbers.
Now, 9 + 9 + 9 + 1 + 2 + 4 + 4 + 0 + 7 + 4 + 5= 54
Take 4 as it is and add 5 to the 1000th place numbers.
Now, 4 + 4 + 4 + 7 + 6 + 7 + 7 + 0 + 1 + 2 + 5 = 47
Take 7 as it is and add 4 to the next addition.
Now, 9 + 6 + 7 + 4 + 8 + 3 + 1 + 2 + 4 + 4 = 48
Take 8 as it is and add 4 to the next addition.
Now, 8 + 7 + 7 + 9 + 7 + 2 + 2 + 4 = 46
Take 6 as it is and add 4 to the next addition.
Now, 7 + 6 + 6 + 2 + 6 + 1 + 3 + 4 = 35
Take 5 as it is and add 3 to the next addition.
Now, 4 + 9 + 4 + 3 + 4+ 3 = 27
Take 7 as it is and add 2 to the next addition.
Now, 7 + 4 + 2 + 4 + 2= 19
Take 9 as it is and add 1 to the next addition.
Now, 9 + 3 + 1 = 13
Take 3 as it is and add 1 to the next number.
4 + 1 = 5.
Now take the last numbers one by one from step by step.
⇒ 53975687481
Hence, the total addition of numbers is, 53975687481.
To know more about addition of numbers, click on the link
https://brainly.com/question/5982761
#SPJ1
Find a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate. f(x) = x^(-1), a = 0.9
Answers
A linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate is L(x)=-6 -4x .
What is function ?
A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
Nearest integer is x =-1
Centre of linearization as x =-1
f(x)=3x2 +2x -3
f(-1)=3(-1)2 +2(-1) -3
f(-1)=-2
f(x)=3x2 +2x -3
f '(x)=6x +2
f '(-1)=6(-1) +2
f '(-1)= -4
L(x)=f(-1) + f '(-1) (x-(-1))
L(x)=-2 -4(x+1)
L(x)=-2 -4x -4
L(x)=-6 -4x
To learn more about function visit:https://brainly.com/question/21145944
#SPJ4
Write the following equation in slope-intercept form and identify the slope and y-intercept.
6x - 4y = 11
Answers
Answer:
Step-by-step explanation:
This in standard form (Ax + By = C.) In order to make this slope-intercept form, you need to isolate y.
y = -1.5x + 2.75
y=mx + b is slope intercept, where m is the slope and b is the y-intercept.
In this case, -1.5 is the slope and 2.75 is the y-intercept.
Hope this helps!!
Use the information to answer questions 8-10.
The time in minutes a factory needs to make a cell phone parts in a single day is modeled by th
inequality y-0.0005² ++20, for the domain 0 ≤ ≤ 1000.
8. What does the ordered pair (200, 100) represent?
Type a response
4
the longest it will take the factory to make 600 cell phone parts?
Answers
Since y<-0.0005x^2+x+20 and y represents the time in minutes needed to make x cell phone parts, the longest it will take the factory to make 600 cell phone parts will be y=-0.0005(600)^2+600+20
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
A number is a solution to an inequality in x if it can be used to replace x with a statement that is true. Therefore, while 8 is not a solution for example 1, 4, it is. The collection of all solutions makes up the solution set for an inequality.
Wealth inequality, treatment and responsibility disparity, political inequality, life inequality, and membership inequality are the five systems or sorts of social inequality.
In mathematics, larger than symbol (>), less than symbol (), less than or equal to symbol (), and not equal to symbol () are the five inequality symbols.
To learn more about inequality refer to:
https://brainly.com/question/25275758
#SPJ1
What is the solution to the division problem below? (You can use long division or synthetic division.)
(2x2 + 7x-15) - (x+ 5)
Answers
2x-3
X+5 | 2x^2+7x-15
2x^2+10x
-3x-15
-3x-15
Find all angles, 0°≤θ≤360° that solve the following equation.
sin θ=-1
Answers
The solution for the given equation is, θ = 270°.
What is solving an equation?
Finding an equation's solutions, or the values that satisfy the condition stated by the equation, is known as solving an equation in mathematics. Solutions typically consist of two expressions connected by an equals sign. One or more variables are marked as unknowns in order to find a solution.
Consider, the given inequality
sinθ = -1
The general solution for sinθ = -1 is
θ = 270° + 360°n
But the condition is, 0° ≤ θ ≤ 360°
Hence, the solution for the given equation is, θ = 270°.
To know more about solution of an equation, click on the link
https://brainly.com/question/22688504
#SPJ4
b) On the grid draw the graph of x + y = 6
for values of x between -2 and 3.
Answers
Answer:
x=1 y=6
Step-by-step explanation:
???
John drew a triangle with side lengths of 5, 12 and 13. His friend, Bryan, looked at it and asked John if it is a right triangle. John’s response was yes. Explain or show how John can prove to Bryan that the triangle is a right triangle
Answers
It's a right angle as 13² is the addition of 5² and 12².
How to prove the right angle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangled triangle, is a triangle with one right angle, i.e. two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.
In this case, the values given are 5, 12 and 13. This will be illustrated thus:
5² + 12² = 13²
25 + 144 = 169
169 = 169
This was done based on Pythagoras theorem.
Therefore, it's a right angle.
Learn more about triangles on:
https://brainly.com/question/17335144
#SPJ1
consider the following method. public int pick(boolean test, int x, int y) { if (test) return x; else return y; }
Answers
If P is the minimum number of tests to achieve full statement coverage for f(x) and Q is the minimum number of tests to achieve full branch coverage for f(x), then (P,Q) =(3, 4)
Branch coverage: During program testing, every branch in a statement must be run at least once.
Coverage of the statement:
This means that during testing, every statement in the computer code must be run at least once.
All of the statements must be executed in order to obtain complete statement coverage.
Statement coverage is calculated as (statement executions divided by total statement executions).
To obtain complete statement coverage in the code above, two test cases are necessary.
Case 1: If the if condition is satisfied,
{
int res=0;
if(m<0) {res=n-m;}
return res;
}
These commands will be carried out.
Case 2: All remaining statements will also be put into effect when the other two cases of else do. Full statement coverage is attained after three tests.
Branch coverage: It includes both true and false situations and is decision-based.
To learn more about methods
brainly.com/question/27463039
#SPJ4
Please help ASAP I don;t understand it
Answers
Answer:
the points that will fall on a line where the constant of proportionality is k are A) (6,8) and B) (3,2).
Step-by-step explanation:
A point (x,y) falls on a line where the constant of proportionality is k if y is equal to k times x. In other words, the equation for the line is y = kx.
Given this, we can determine which of the given points fall on a line where the constant of proportionality is k by evaluating whether the y-coordinate of each point is equal to k times the x-coordinate.
For example, if k = 2, then the point (6,8) falls on the line y = 2x because 8 is equal to 2 times 6. Similarly, the point (3,2) falls on the line y = 2x because 2 is equal to 2 times 3.
On the other hand, the point (6,4) does not fall on the line y = 2x because 4 is not equal to 2 times 6.
Therefore, the points that will fall on a line where the constant of proportionality is k are A) (6,8) and B) (3,2).
Note that if k is not specified, then any of the given points could potentially fall on a line where the constant of proportionality is k, depending on the value of k.
Your business has conducted five market research surveys in the past year. The cost per survey is as follows: Survey 1: $725 Survey 2: $850, Survey 3: $1,250, Survey 4: $1,350, Survey 5: $900. What is the median cost of the market research surveys?
a) $900
b) $1,015
c) $1,092
d) $1,250
Answers
The median cost of the market research surveys is $900 so option (a) is correct.
What are the mode and median?Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.
As per the given surveys,
Survey 1: $725 Survey 2: $850, Survey 3: $1,250, Survey 4: $1,350, Survey 5: $900.
Write the surveys in the increasing format as
$175,$850,$900,$1250,$1350
The median will be the middle value thus $900 will be correct.
Hence "The median price of the surveys for market research is $900".
To learn more about mode and median,
brainly.com/question/300591
#SPJ1
A cookie recipe calls for 4 cups of flour for every 1 cup of sugar. If you want to make multiple batches of the cookies and you use 8 cups of sugar, how much flour will you use?
Answers
Answer:
8x4=32
Step-by-step explanation:
I hope I helped you
fill in the blank so that the equation is a prefect square trinomial
Answers
Brainliest is appreciated. Please I only need one more!!!!!!!!!!!!!!!!
- 4y + 11 = -3(2y + 1)
Answers
Answer: y=-7
Step-by-step explanation:
Answer: y=-7
Step-by-step explanation:
Andrea's record label released her new album. Andrea wants to know when she has sales of at least $20,000 per week. She uses the related equation below to determine when sales will be at least this amount, where t represents time in weeks.
please finish the other half
Answers
Answer:
10 ≤ t ≤ 20 or t ∈ [10; 20]----------------------------
The other half is:
t - 15 ≥ - 5t ≥ - 5 + 15t ≥ 10The answer, considering both halves, is:
10 ≤ t ≤ 20or
t ∈ [10; 20]Answer:
[tex]10 \leq t \leq 20[/tex]
Step-by-step explanation:
Given absolute value inequality:
[tex]1000(-2|t-15|+30) \geq 20000[/tex]
Isolate the absolute value on one side of the equation:
[tex]\implies \dfrac{1000-2|t-15|+30)}{1000} \geq \dfrac{20000}{1000}[/tex]
[tex]\implies -2|t-15|+30 \geq 20[/tex]
[tex]\implies -2|t-15|+30-30 \geq 20-30[/tex]
[tex]\implies -2|t-15|\geq -10[/tex]
[tex]\implies \dfrac{-2|t-15|}{-2}\geq \dfrac{-10}{-2}[/tex]
[tex]\implies |t-15|\leq 5[/tex]
[tex]\textsf{Apply absolute rule:\quad {If} $|u| \leq a, \;a > 0$ \;then\; $-a \leq u \leq a$}[/tex]
[tex]\implies -5 \leq t-15\leq 5[/tex]
Solve both equations:
[tex]\begin{aligned}\underline{\sf Equation\;1} && \underline{\sf Equation\;2}\\t-15 &\geq -5 \quad & t-15& \leq 5\\t-15+15& \geq-5+15 &\qquad t-15+15& \leq 5+15\\t&\geq10 & t &\leq20\end{aligned}[/tex]
Merge the overlapping intervals:
[tex]10 \leq t \leq 20[/tex]
Please help me on math very easy graphing! thank you!! due soon
Answers
Linear regression is a system of plotted points which shows a relationship between two given variables. The required linear equation is: y = 4x.
A graph is a plotted coordinate on a Cartesian plane which shows the relationship between two variables. A system of plotted points in relations to variables that shows a linear relationship is termed linear regression.
In a linear regression, the plotted points can be described by an equation:
y = bx + c
where: y is the dependent variable
x is the independent variable
b is the slope of the graph
c is the intercept
Therefore, considering the given question;
the slope of the graph = [tex]\frac{change in y}{change in x}[/tex]
= [tex]\frac{12 - 4}{3 - 1}[/tex]
= [tex]\frac{8}{2}[/tex]
slope of the graph = 4
While there is no intercept, thus intercept is zero.
Therefore, the required equation that shows the relationship between liters of water and number of minutes is:
y = 4x
Learn more about description of the relationship between two variables using linear regression at https://brainly.com/question/26755306
#SPJ1
K
Problem Solving
X 4.3.PS-7
Simplify the expression.
-2.6f+0.2f-15-9
-2.6f+0.2f-15-9=
(Simplify your answer. Use integers or decimals for any numbers in the
Answers
Answer:
(23x+4.2)
Step-by-step explanation:
HELPPPP!!! 30 POINTSSSSSS!!!!!!
Find the line of best fit for the set of data:
x y
-2 2.9
-3.5 2
1.4 4.8
-4.2 1.5
0 4
2.8 6
-1.5 3.5
A. y = .613x + 4.142
B. y = -.613x - 4.142
C. y = -.613x + 4.142
D. y = .613x - 4.142
Answers
Answer:
[tex]\boxed{\tt A. \;y = .613x + 4.142}[/tex]
Step-by-step explanation:
Equation: (y-y_1)=y_2-y_1/x_2-x_1 (x-x_1)
Here,
[tex]\tt (x_1,y_1):(-2,2.9)[/tex]
[tex]\tt (x_2,y_2): (-3.5,2)[/tex]
[tex]\tt y-2.9=\cfrac{(2-2.9)}{(-3-5-(-2))} (x-(-2))[/tex]
[tex]\tt y-2.9=\cfrac{-0.9}{-1.5} (x+2)[/tex]
[tex]\tt y-2.9=0.6(x+2)[/tex]
[tex]\tt y-2.9=0.6x+1.2[/tex]
[tex]\tt y=.613x+4.142[/tex]
___________________
Hope this helps you!
Have a nice day!
Directions: construct equations for the following and evaluate for X .
Answers
The value of x is 13 and value of x in second question is 28, in the angle of line. The angle between a line's inclination and the x-axis's positive direction is known as the inclination.
How do you calculate inclination?The angle between a line's inclination and the x-positive axis's direction is known as the inclination. This angle's value ranges from 0° to 180°. It is measured counterclockwise around the positive x-axis direction. The slope of a line is the tangent of the angle of inclination if the inclination angle is known. Take the tangent of the angle produced between the line and the x-axis to get the degree of inclination.Angle B, which is the opposite of angle A and measures 100 degrees, will also be 100 degrees. This indicates that the sum of the two angles is 200 degrees.From first fig :
26° = 2x °
x = 26 / 2 = 13
Second fig :
134° = 4x + 22
x = 134 - 22 / 4 = 28
To learn more about inclination refer :
https://brainly.com/question/29360090
#SPJ1
Find the degrees of freedom if N is 12.
Answers
The degrees of freedom is [tex]12N[/tex]
What is degrees of freedom?
Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample. Degrees of freedom is calculated by subtracting one from the number of items within the data sample.
[tex]\text { Least Common Multiplier of } N, 12: 12 N[/tex]
Find Least Common Multiplier of [tex]$N, 12$[/tex]
Lowest Common Multiplier [tex](LCM)[/tex]
The LCM of [tex]$a, b$[/tex] is the smallest multiplier that is divisible by both [tex]$a$[/tex] and[tex]$b$[/tex]
Factor 12
[tex]$2^2 \cdot 3$[/tex]
Multiply each factor with the highest power:
[tex]12 \mathrm{~N}[/tex]
To learn more about degrees of freedom visit:
https://brainly.com/question/16254305
#SPJ1
PLEASE HELP ASAP!!! Will IMMEDIATELY give Brainliest to the correct answer!! 100 pt question!!
The function f(x)=∣x−3∣ can be used to determine how far a number x is away from the number 3 on the number line. Find and interpret the given function values and determine an appropriate domain for the function.
Answers
Answer:
The function f(x) = |x - 3| can be used to determine how far a number x is away from the number 3 on the number line. To find the function value for a given x, we first need to subtract 3 from x and then take the absolute value of the result. For example, if x = 5, then the function value would be f(5) = |5 - 3| = |2| = 2.
The domain of the function is the set of all possible values of x that we can plug into the function to get a real number result. In this case, the function will work for any real number value of x, so the domain of the function is the set of all real numbers, which can be written as:
Domain: (-∞, ∞)
In other words, the function f(x) = |x - 3| can be used to determine how far any real number x is away from the number 3 on the number line.
Is the following statement linear or exponential?
Lalo's hair is also known to grow rapidly. It began at a length of 6 in and grew at a constant rate of 1 in per month. HELP PLEASE Nobody is helping me :(
Answers
Answer:
Step-by-step explanation:
exponential
A contractor bought 6.4ft^2 of sheet metal. has used 2.1ft^2 so far and has $129 worth of sheet metal remaining. The equation 6.4x - 2.1x = 129 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answers
Answer:
30$ per ft^2
Step-by-step explanation:
6.4x-2.1x=129
4.3x=129
x=30
:]
Jane's family divided up their garden so that 2/3 of garden will have vegetables. Jane and her sister will plant2/3 of the vegetable portion of the garden. How much will the sisters plant?
Answers
3/2 part of the garden is planted by both the sisters.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
Jane's family divided up their garden so that 2/3 of garden will have vegetables.
Jane and her sister will plant2/3 of the vegetable portion of the garden
2/3 is the vegetable portion
In this vegetable portion 2/3 part is of the vegetable portion of the garden
3/2/2/3
3/2×3/2
6/4
3/2
Hence, 3/2 part of the garden is planted by both the sisters.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ1
CAN SOMEONE HELP WITH THIS QUESTION?✨
Answers
a) The exponential function that models the population in t years after 2000 is of: P(t) = 14300(1.06)^t.
b) The estimate for the population in 2008 is of: 22792.
How to define the exponential function?Considering it's standard format, the increasing exponential function is defined as follows:
P(t) = P(0)(1 + r)^t.
In which the parameters of the function are defined as follows:
P(0) is the population in the reference year of 2000.r is the growth rate, as a decimal.Hence the values of these parameters are given as follows:
P(0) = 14300, r = 0.06.
Thus the function is given by:
P(t) = 14300(1.06)^t.
2008 is eight years after 2000, thus the estimate is P(8), which is obtained as follows:
P(8) = 14300 x (1.06)^8 = 22792.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
What are the zeros of this function?
Answers
Answer:
B. x = 0 and x = 5
Step-by-step explanation:
The zeros of this function are x = 0 and x=5
_________________
Have a great day!
a researcher obtained a random sample of 100 smokers and a random sample of 100 non smokers. after interviewing all 200 participants in the study, the researcher compared the rate of depression among the smokers with the rate of depression among nonsmokers
observational study
Answers
Based on the study, the researcher may develop a hypothesis that smoking is associated with an increased risk of depression.
What is Hypothesis?An explanation that is put up for a phenomena or a group of facts is called a hypothesis. It is a speculative explanation that needs more testing and improvement because it is supported only by a small body of data. A hypothesis is not a tested theory, but rather a point of departure for more research. A hypothesis is examined in scientific study by testing and observationit. The purpose of hypothesis testing is to evaluate the likelihood that the suggested explanation is accurate and to spot any discrepancies or holes in the available data. The act of testing and improving hypotheses is a crucial component of the scientific method since it ensures that scientific ideas are supported by reliable data.
How to solve?
This hypothesis can then be tested through further research, such as conducting a larger study with more participants, or conducting experiments to evaluate the potential mechanisms by which smoking may affect the development of depression.
The researcher may also use statistical methods to analyze the data collected from the study, in order to determine the significance of the relationship between smoking and depression.
If the hypothesis is supported by the evidence, the researcher may conclude that smoking is a risk factor for depression, and may recommend interventions or preventative measures to reduce the risk of depression among smokers.
To learn more about hypothesis, visit:
https://brainly.com/question/17246563
#SPJ4