Describe the end behavior of the graph of the function
f(x)=−5(4) x−6
. For[infinity], type in the word infinity. For−[infinity], type in -infinity (a minus sign followed by the word infinity). Make sure that you type in the word infinity with a lower case
. As x→−[infinity],f(x)→
As x→[infinity],f(x)→
End behavior of a function f defines the behavior of the function's graph at the "ends" of the x-axis. In other words, the end behavior of a function explains the graph's trend when we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. Example. A function is a type of rule that produces one output for one input. Alex Federspiel provided the image. y=x2 is an example of this. If you enter anything for x, you will only get one output for y. Because x represents the input value, we may say that y is a function of x.
Here,
End behavior of a function f specifies how the function's graph behaves at the "ends" of the x-axis. In other words, when we look to the right end of the x-axis (as x approaches +) and to the left end of the x-axis (as x approaches ), the end behavior of a function explains the graph's trend.
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Select all the expressions that are equivalent to 5x^2+8x+2. ??
1) 3x^{2}+x+2x^{2}+2+7x
2) 8x^{2}+4x-3x^{2}+4-3x
3) 2+12x+x^{2}-4x+5^{2}
4)2+12x+x^{2}-4x+5^{2}
Step-by-step explanation:
if there are no typos then only 1) is correct.
3x² + 2x² = 5x²
x + 7x = 8x
2 = 2
2)
8x² - 3x² = 5x²
4x - 3x = x
4 = 4
wrong
3)
x² + 5x² = 6x²
12x - 4x = 8x
2 = 2
wrong
4)
is the same as 3)
so, I am sure the original problem description has something else here. be careful - the original might be another correct answer here.
5
8. A tent in the shape of a right pyramid has 4 poles that are each 2.1 m long.
The side length of the base of the tent is 1.5 m.
a) Sketch a diagram of the tent.
b) What is the slant height of the tent to the nearest tenth of a metre?
My brodas and sisters please help me out for the love of god
Answer:
1.96 m or 2m when rounded to nearest tenth
Step-by-step explanation:
The question is referring to a square right pyramid. The base is square and the perpendicular axis is vertical to the base.
These are the different parts of a square right pyramid .
See figure for detailed description(taken from Wolfram website)
The ones of interest here are
a = base side length = = 2.1m (given).Answer slant height s = 1.96 = 2 m when rounded to nearest tent
find the length of the segment. someone pls help me
Answer:
x = 7
Step-by-step explanation:
The segment from the centre at right angles to the chord, bisects the chord, so
x = 7
Please help show work
Answer: 17 is A and 18 is B
17) 2(3x8)+2(3x6)+2(6x8) = 180
18) 4(9x2)+2(9x9) = 234
pid 2. The perimeter of triangle GHI is 40 cm. If both triangles are similar, then what is the length of JT. 15 cm 15 cm Wool 10 cm G
Write your answer below:
im cant figure out how to do this one ((-3)^2)^-3
Answer:
\(\dfrac{1}{729}\)
Step-by-step explanation:
\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)
First, we should evaluate inside the large parentheses:
\((-3)^2 = (-3)\cdot (-3) = 9\)
We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,
\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)
↑1 ↑2 ↑3 times because the exponent is 3
Next, we can put the value 9 into where \((-3)^2\) was originally:
\((9)^{-3}\)
We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,
\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)
Finally, we can apply this principle to the \(9^{-3}\):
\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)
Consider the transfer function a. By rewriting Eq. (7.283) in the form find a series realization of as a cascade of two first-order systems. b. Using a partial-fraction expansion of , find a parallel realization of . c. Realize in control canonical form.
Answer:
B
Step-by-step explanation:
plss pa brainliest me thanks
What does the fictional account of the epidemic include that the nonfictional account does not? george washington’s feelings details about the setting dialogue between made-up characters details about yellow fever
The thing which the fictional account of the epidemic includes that the nonfictional account does not is the c, dialogue between made up characters.
What is a Fictional Account?This refers to the narration about a set of events by an author that is not real or true but is a figment of the imagination of the writer.
Hence, we can see that from the complete text, there are the details of the given text to show the differences between the fictional and non-fictional accounts which was the c, dialogue between made-up characters.
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Calculate the surface area of a cube with a side length of 3metres
Answer:
54 m^2
Step-by-step explanation:
i got this from family so Hope it helps
Select the correct answer. 70PTS!!!!!!!!!!!!!!
Which statement correctly compares functions f and g?
function f function g
Function g is a decreasing exponential function with a y-intercept of 5 and no x-intercept.
A.
They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞.
B.
They have different end behavior as x approaches -∞ and different end behavior as x approaches ∞.
C.
They have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.
D.
They have the same end behavior as x approaches -∞ and the same end behavior as x approaches ∞.
They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞. Option A is correct.
Given that,
Function g is a decreasing exponential function with a y-intercept of 5 and no x-intercept.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
What is exponential function?The function which is in format f(x) = \(e^X\) where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here, the solution shown in the graph implies that they have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞.
Thus, they have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞. Option A is correct.
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solve for x
30 < 2x - 6
Given the function f(x) = 4x^3 - 4, find the value of f(- 1/2)
The function \(f(x) = 4x^3 - 4\) is a polynomial function. It takes an input value x and returns an output value f(x) based on the expression \(4x^3 - 4.\)So the value of f(-1/2) is -4.5.
When we evaluate f(-1/2), we substitute -1/2 for x in the expression for f(x). This gives us:
\(f(-1/2) = 4(-1/2)^3 - 4\)
The expression inside the parentheses, \((-1/2)^3,\\\) is the cube of -1/2. To simplify this expression, we need to first raise -1/2 to the power of 3:
\((-1/2)^3 = (-1/2) * (-1/2) * (-1/2) = -1/8\)
Next, we substitute this value back into the expression for f(-1/2):
f(-1/2) = 4(-1/8) - 4
Now we can simplify the expression by multiplying 4 and -1/8:
f(-1/2) = -1/2 - 4
Finally, we subtract 4 from -1/2 to get the final answer:
f(-1/2) = -4.5
So the value of f(-1/2) is -4.5.
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Given the function f(x) = 4x^3 - 4, find the value of f(- 1/2)?
pls help with odd problems only pls
I'm not sure about questions 7-10 tho, very sorry
Step-by-step explanation:
11) 5/7
12) 1/4
13) 7/10
14) 3/4
15) 2/9
16) 2/5
17) 13/30
18) 27/50
19) 5/16
20) 4/15
21) 1/24
22) 7/12
23) 1/20
24) 8/15
25) 11/45
Find an equation of the tangent line to the curve at the given point y=ln(x^2-4x 1),(4,0).
The equation of tangent line to the curve y = ln(x^2 - 4x + 1) is y = 4x -16.
According to the given question.
We have a curve y = ln(x^2 - 4x + 1)
Let the equation of tangent line to the curve y = ln(x^2 - 4x + 1) be
y = mx + b
Where, m is the slope of the curve.
So, the slope of the curve m, y = ln(x^2 - 4x + 1) at x = 4 is given by
m = dy/dx
⇒ m = d(ln(x^2 - 4x + 1))/dx
\(\implies m = \frac{1}{(x^{2} -4x+1)}\frac{d}{dx}(x^{2} -4x+1)\)
\(\implies m = \frac{1}{(x^{2} -4x+1)} (2x -4)\)
\(\implies m = \frac{1}{(16-16+1)} (8-4)\) (at x = 4)
⇒ m = 1(4)
⇒ m = 4
Substitute the value of m in y = mx + b
⇒ y = 4x + b
Since, the above tangent line is passing through (4, 0). So, the point (4, 0) must satisfy y = 4x + b.
⇒ 0 = 4(4) + b
⇒ b = -16
Therefore, the equation of tangent line to the curve y = ln(x^2 - 4x + 1) is given by
y = mx + b
⇒ y = 4x -16 (by substituting the vale of m and b in y = mx+b)
Hence, the equation of tangent line to the curve y = ln(x^2 - 4x + 1) is y = 4x -16.
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Look at this triangle.
B
11 cm
4 cm
Work out length AC.
(my teacher told me to start out with c first, c= an something like that I don’t remember)
Step-by-step explanation:
<c =90 °
So, Pythagoras theorem can be used,
Hypotenuse ² = base ² + altitude ²
AB²=AC²+BC²
11²=AC²+4²
11²-4²=AC²
121-16=AC²
Root 105=AC
AC=10.2 cm
The length of AC is 10.25 cm
What is pythagorean theorem ?
If ΔABC is a right angle triangle, then
AB² = BC²+AC²
where AB = Hypotenuse, BC & AC are adjacent sides of the right angle
What is the required length of the side ?Given, hypotenuse = AB = 11 cm
One of adjacent sides = BC = 4 cm
We have to find the length of AC.
Using pythagorean theorem,
AB² = BC²+AC²
⇒ AC² = AB² - BC²
⇒ AC² = 11²-4²
⇒ AC² = 121-16
⇒ AC = √105
⇒ AC = 10.25
So the length of AC = 10.25 cm
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What is the equation in point-slope form for the line parallel to y=5x-4 that contains p(-6,1)
Answer:
\(\displaystyle{y-1=5(x+6)}\)
Step-by-step explanation:
A point-slope form is written in the equation of \(\displaystyle{y-y_1=m(x-x_1)}\). Where \(\displaystyle{(x_1,y_1)}\) is a coordinate point and \(\displaystyle{m}\) is slope.
The definition of parallel is to both lines have same slope. The given line equation has slope of 5. Therefore, we can write the equation in point-slope form as:
\(\displaystyle{y-y_1=5(x-x_1)}\)
Next, we are also given the point p(-6,1). Substitute \(\displaystyle{x_1}\) = -6 and \(\displaystyle{y_1}\) = 1 in:
\(\displaystyle{y-1=5[x-(-6)]}\\\\\displaystyle{y-1=5(x+6)}\)
Hence, the line equation that’s parallel to y = 5x - 4 and passes through a point (-6,1) is y - 1 = 5(x + 6)
Answer:
y - 1 = 5 ( x + 6 )
Step-by-step explanation:
We know that when two lines are parallel the slope of both lines is equal.The formula that we use to find an equation of a line is y = m x + cHere,
m ⇒ slope
Now let us take a look at the given equation which is already drawn.y = 5x - 4 ← equation of the old line
Now it is clear to us that,
m ⇒ slope of the line ⇒ 5
c ⇒ y-intercept ⇒ -4
Therefore, the slope of the new line also will be 5.That is, m = 5
The question asked us to write the equation in point-slope form.The formula to write the equation in the line in point-slope form is :y - y₁ = m ( x - x₁ ).
Here,m = slope
Also, we can use the given coordinates to write the equation in point-slope form( -6 , 1 ) ⇔ ( x₁ , y₁ )
So, to find the equation of the new line we can replace m, y₁ & x₁ with 5, 1 & -6 respectively.Let us solve this now
y - y₁ = m ( x - x₁ )
y - 1 = 5 ( x - ( -6) )
y - 1 = 5 ( x + 6 )
And now let us write the equation of the new line in point - slope form.y - 1 = 5 ( x + 6 )
A box contains ten tickets, four marked with a positive number and six with a negative number. All the numbers are between -10 and 10. One thousand draws will be made at random with replacement from the box. You are asked to estimate the chance that the sum will be positive. Can you do it on the basis of the information given?
While we can estimate the chance that the sum of the draws will be positive using the binomial distribution, the specific probability would depend on the distribution of the positive and negative numbers on the tickets.
Based on the information given, we can estimate the chance that the sum of the draws will be positive.
Since the draws are made with replacement, each draw is independent of the others. This means that the probability of drawing a positive number on any given draw is 4/10 (since there are four positive tickets out of ten).
The sum of the draws will be positive if the number of positive draws is greater than the number of negative draws. To estimate the chance of this happening, we can use the binomial distribution.
Let X be the number of positive draws in 1000 draws. X follows a binomial distribution with parameters n = 1000 (number of draws) and p = 4/10 (probability of success on a single draw).
We want to find P(X > 500), which represents the probability of having more than 500 positive draws out of 1000 draws.
Using statistical software or tables, we can calculate this probability. However, without specific information about the distribution of the positive and negative numbers on the tickets (e.g., if they are uniformly distributed), we cannot provide an exact estimate.
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V(x,y,z)=x
2
+xy
2
+yz Determine the electric field in this region at the coordinate (−7,3,7). (Enter the components of the field vector, separated by a commas. The potential function above is assumed to be in units of Volts, the coordinates are assumed to be in units of meters, and your answer is assumed to be in units of V/m. In other words: only enter the numbers, but no units. ).
The electric field is given by the gradient of the potential function, V, which is:∇V=⟨∂V/∂x,∂V/∂y,∂V/∂z⟩=⟨2x+y^2,2xy,2yz⟩Hence,
the electric field in this region at the coordinate \((-7,3,7) is:∇V(−7,3,7)=⟨2(−7)+3^2,2(−7)(3),2(3)(7)⟩=⟨−8,−42,42⟩\)Therefore, the components of the field vector are -8, -42, and 42.
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Help me please ASAP!!!!:::;;
Answer:
the answer is the first choice
Step-by-step explanation:
A slope of 1 would mean that the m is 1, which is the number next to the x, so the choices that don't have a 1 there are wrong. Next pick one of the 2 remaining answer choices, and plug in the point (4,6) to test if it goes through that line. If the equation checks out, (ex. 6=6), then that's the answer! If it doesn't work (ex. -1=2), then test the other one.
A career counselor is interested in examining the salaries earned by graduate business school students at the end of the first year after graduation. In particular, the counselor is interested in seeing whether there is a difference between men and women graduates' salaries. From a random sample of 20 men, the mean salary is found to be $42,780 with a standard deviation of $5,426. From a sample of 12 women, the mean salary is found to be $40,136 with a standard deviation of $4,383. Assume that the random sample observations are from normally distributed populations, and that the population variances are assumed to be equal. What is the upper confidence limit of the 95% confidence interval for the difference between the population mean salary for men and women
The upper limit for the 95% confidence interval for the difference between the population mean salary for men and women is given as follows:
$6,079.88.
How to obtain the upper limit for the interval?The mean of the differences is given as follows:
42780 - 40136 = 2644.
The standard error for each sample is given as follows:
\(s_M = \frac{5426}{\sqrt{20}} = 1213.29\)\(s_W = \frac{4383}{\sqrt{12}} = 1265.26\)Hence the standard error for the distribution of differences is given as follows:
\(s = \sqrt{1213.29^2 + 1265.26^2}\)
s = 1753.
The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The upper bound of the interval is then given as follows:
2644 + 1.96 x 1753 = $6,079.88.
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HELP DUE IN 10 MINS!
Quadrilateral MATH has vertices M(-3, 1), T(2, 6), H(1, 1).
Plot a point A to make MATH a parallelogram.
1. What are the coordinates of A ( , )??
Answer:
A = (6,6)
Hope this helps!
X х
6
16
+
=
x - 4
x - 3
x2 – 7x + 12
Answer:
what is this? show it correctly
Find the coordinates of the missing endpoint if m is the midpoint of AB.
A(-9,-4) and M(-7,-2.5)
A) (-5, 1)
B) (-2, 1.5)
C) (5, 1)
D) (-5, -1)
E) (-1, -1,5)
Answer: It is D
Step-by-step explanation:
a telephone booth 7 ft tall casts a shadow 20 ft long. At the same time, a nearby fire hydrant casts a shadow 8 ft long. Find the height of the fire hydrant
Answer:
2 4/5 feet
Step-by-step explanation:
let 'x' = height of fire hydrant
7/20 = x/8
cross-multiply:
20x = 56
x = 56/20 or 14/5, which is 2 4/5
u.s cities grew quickly during the early 1800s because:
Answer:
The industrialization of the late nineteenth century brought on rapid urbanization. The increasing factory businesses created many job opportunities in cities, and people began to flock from rural, farm areas, to large urban locations. Minorities and immigrants added to these n
Answer:
A. factories began to hire more workers in cities
Step-by-step explanation:
I got it right ap2x
remove all independent variables that are not significant at the 0.01 level of significance from the estimated regression equation. what is your recommended estimated regression equation? enter a coefficient of zero for any independent variable you chose to remove.
The recommended estimated regression equation is Y = βo + β1X1 + β2X2, with any coefficients for the independent variables that were removed set to 0.
The recommended estimated regression equation can be determined by removing all independent variables that are not significant at the 0.01 level of significance. The formula for the estimated regression equation is Y = βo + β1X1 + β2X2 + β3X3 + β4X4, where Y is the dependent variable, X1, X2, X3 and X4 are the independent variables, and β1, β2, β3 and β4 are the regression coefficients.
Using the coefficients from the original regression equation, we can determine which independent variables need to be removed by looking for any that have a p-value greater than the 0.01 level of significance. In this case, we will set the coefficients for the independent variables that need to be removed to 0. The recommended estimated regression equation is Y = βo + β1X1 + β2X2 + 0X3 + 0X4.
Therefore, the recommended estimated regression equation is Y = βo + β1X1 + β2X2, with any coefficients for the independent variables that were removed set to 0.
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Question 2 of 5
A cylinder has a diameter of 10 inches and a height of 20 inches. What is the
volume of the cylinder?
А. 1000п
B. 50017
C. 200017
O D. 2001
SUBMIT
Answer
B. 500 pi
Step-by-step explanation:
Developers determine the specifics of how to build a system in the _____ phase.
a. analysis
b. design
c. implementation
d. testing
Developers determine the specifics of how to build a system in the design phase. b
The design phase and its importance:
Define Objectives:
The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.
The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:
During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.
This architectural design provides a high-level view of the system's organization.
Design System Components:
With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:
The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:
The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.
Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.
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If LM = 9, MN = 6x, and LN = 9x, what is LN?
Given
LM = 9, MN = 6x, and LN = 9x
Find
LN
Explanation
as we see LN = LM + MN
so ,
\(\begin{gathered} 9+6x=9x \\ 9=9x-6x \\ 9=3x \\ x=3 \end{gathered}\)so , LN = 9x = 9 * 3 = 27
Final Answer
Therefore , the length of LN is 27