As the x-values approach negative infinity, the function's values approach positive infinity, which is the right assertion regarding the graph's final behavior. The right answer is D.
What Does Function Mean?A function in mathematics is an expression, rule, or law that determines the relationship between two variables, one of which is independent, and the other of which is dependent (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences.
According to given information;
In light of the available data, the graph in the question depicts a function. The graph reveals the conclusions listed below:
At x=0, the function's value is 0.
The value of the function is 0 at x=0.
The function has a minimum value at x=2.4.
As the value of x reaches negative infinity, the function tends to positive infinity because it is open upwards.
As the value of x reaches positive infinity, the function tends to positive infinity because it is open upwards.
From the above conclusions, it can be said that "as the x-values go to negative infinity, the function's values go to positive infinity".
Therefore, option D is correct.
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If the original quantity is 8 and the new quantity
is 2, what is the percent decrease?
If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
How did we figure this out?
For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:
\(\boxed{8-2=6}\\\boxed{6/2=3}\)
We are going to take that 25% and multiply it with 3 to get are final answer.
What is the missing number of 25 and 3?\(\boxed{25*3=75}\\\boxed{So,2=75}\)
Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
The number of 5-digit numbers in which every twoneighbouring digits differ by 3 is
a. 40 b. 41 c.43 d.45 e.50
The number of 5-digit numbers in which every two neighboring digits differ by 3 is 144.
To find the number of 5-digit numbers in which every two neighboring digits differ by 3, we can start by considering the possible values for the first digit.
The first digit can be any number from 1 to 9 (since it's a 5-digit number). Let's analyze the possibilities:
If the first digit is 1, the second digit can be either 4 or 8.
If the first digit is 2, the second digit can be either 5 or 9.
If the first digit is 3, the second digit can be either 6 or 0.
If the first digit is 4, the second digit can be either 7 or 1.
If the first digit is 5, the second digit can be either 8 or 2.
If the first digit is 6, the second digit can be either 9 or 3.
If the first digit is 7, the second digit can be either 0 or 4.
If the first digit is 8, the second digit can be either 1 or 5.
If the first digit is 9, the second digit can be either 2 or 6.
After determining the possibilities for the first two digits, we can continue this pattern for the next three digits. Each digit will have two possible options, determined by the previous digit.
Hence, the total number of possibilities is obtained by multiplying the number of choices for each digit
Number of possibilities = 9 (options for the first digit) × 2 (options for the second digit) × 2 (options for the third digit) × 2 (options for the fourth digit) × 2 (options for the fifth digit)
= 9 × 2⁴
= 9 × 16
= 144
Therefore, the number of 5-digit numbers in which every two neighboring digits differ by 3 is 144.
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Choose the response that correctly determines if the following statement is true or false, with an argument that can be used to defend your solution.When finding the distance between two points on a coordinate plane, it is always necessary to use the Pythagorean Theorem.A) There is no error, the statement is true.B) false; If the two points create a vertical line segment, the Pythagorean Theorem is not needed.C) false; If the two points create a horizontal line segment, the Pythagorean Theorem is not needed.D) false; If the two points create a horizontal or vertical line segment, the Pythagorean Theorem is not needed.
Option D is the correct response, and it is false to say that it is always necessary to use the Pythagorean Theorem when finding the distance between two points on a coordinate plane.
What is Pythagorean theorem?
The Pythagorean theorem is a fundamental concept in mathematics that relates to the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
The correct response is D) false; If the two points create a horizontal or vertical line segment, the Pythagorean Theorem is not needed.
When finding the distance between two points on a coordinate plane, the Pythagorean Theorem is used to calculate the distance only when the two points do not create a horizontal or vertical line segment.
If the two points create a horizontal line segment, then the distance between the two points is simply the difference between their x-coordinates. If the two points create a vertical line segment, then the distance between the two points is simply the difference between their y-coordinates. In both cases, the Pythagorean Theorem is not needed.
Therefore, option D is the correct response, and it is false to say that it is always necessary to use the Pythagorean Theorem when finding the distance between two points on a coordinate plane.
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The athletic boosters club at Coral High plans a car wash to raise funds for the sports program. An average of 10 cars per hour are expected to arrive according to a Poisson distribution. They will be served at an average rate of 12 cars per hour, with exponential service times. What is the utilization rate
The utilization rate is 83.33
The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event.
An average of 10 cars per hour are expected to arrive according to a Poisson distribution. They will be served at an average rate of 12 cars per hour, with exponential service times,
Then, the utilization rate is 83.33.
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Nine times the sum of a number and 8 equals 7.
Answer:
Step-by-step explanation:
9(x + 8) = 7
9x + 72 = 7
- 72
___________
- 65
\(\frac{9x}{9}\) = \(\frac{-65}{9}\)
= -7 \(\frac{2}{9}\)
he coordinate grid shows points A through K. What point is a solution to the system of inequalities?
y ≤ −2x + 10
y > 1 over 2x − 2
coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
A
B
J
H
The point that is a solution to the system of inequalities is J (7, -4).
To determine which point is a solution to the system of inequalities, we need to test each point to see if it satisfies both inequalities.
Starting with point A (-5, 4):
y ≤ −2x + 10 -> 4 ≤ -2(-5) + 10 is true
y > 1/(2x - 2) -> 4 > 1/(2(-5) - 2) is false
Point A satisfies the first inequality but not the second inequality, so it is not a solution to the system.
Moving on to point B (4, 7):
y ≤ −2x + 10 -> 7 ≤ -2(4) + 10 is false
y > 1/(2x - 2) -> 7 > 1/(2(4) - 2) is true
Point B satisfies the second inequality but not the first inequality, so it is not a solution to the system.
Next is point J (7, -4):
y ≤ −2x + 10 -> -4 ≤ -2(7) + 10 is true
y > 1/(2x - 2) -> -4 > 1/(2(7) - 2) is true
Point J satisfies both inequalities, so it is a solution to the system.
Finally, we have point H (-4, -4):
y ≤ −2x + 10 -> -4 ≤ -2(-4) + 10 is true
y > 1/(2x - 2) -> -4 > 1/(2(-4) - 2) is false
Point H satisfies the first inequality but not the second inequality, so it is not a solution to the system.
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Find 8th term for 10,-20,40
Answer:
-1280
Step-by-step explanation:
So, as we can see just by loooing at this geometric sequence, the factor is -2. Let's double check this.
10 * -2 = -20 * -2 = 40
We can just keep multiplying to find the 8th term!
40 * -2 = -80 * -2 = 160 *-2 = -320 * -2 = 640 * -2 = -1280
Sometimes with a short sequence, it is better to just multiply it out. You could also do it like this, though:
\(a_{n}=a_{1} *r^{n-1}\)
Here, r = -2. We are looking for the 8th term, which would be 8
Plug in our values:
\(a_{8}=10*-2^{7}\)
\(-2^{7}=-128\\\)
\(10*-128=-1280\)
That is the same answer we got before. I would suggest doing it mathematically if you have a long sequence (15, 100, 300 terms)
Hope this helped!
Shawn rents an apartment in an all-brick building located in a historic,
downtown neighborhood. The value of the belongings in the apartment is
about $25,000. If Shawn wishes to insure his belongings while renting, how
much will he have to pay for insurance per year?
Answer: 107.50
Step-by-step explanation:
RCV is more expensive compared to ACV, therefore, Shawn would have to pay more to insure his belongings with RCV coverage.
As Shawn rents an apartment in an all-brick building located in a historic, downtown neighborhood and the value of the belongings in the apartment is about $25,000, he will have to pay around $125 to $375 per year to insure his belongings while renting depending on the type of coverage he chooses.
A renter’s insurance policy can protect the belongings of renters who live in an apartment or house they rent and covers their liability towards others in case they get injured. For this reason, the cost of renter’s insurance will vary depending on the type of coverage needed. If Shawn wants more coverage, then he will pay a higher rate. There are two types of coverage which include actual cash value (ACV) and replacement cost value (RCV).
ACV is a coverage that pays for the value of the belongings, minus the depreciation. Whereas, RCV is a coverage that pays for the cost of replacing the belongings, regardless of their current value.
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#7 please write in slope intercept form!
Answer:
3/4 or 1/4 stays
Step-by-step explanation:
Luther owns a farm where he grows red and green tomatoes. He sells both types of tomatoes for $1.70 per pound. One customer bought 10.6 pounds of red tomatoes and 8.3 pounds of green tomatoes. How much money did Luther earn in all from that sale?
Answer:
$32.13
Step-by-step explanation:
Given:
He sells both types of tomatoes for $1.70 per pound. One customer bought 10.6 pounds of red tomatoes and 8.3 pounds of green tomatoes.
To Find the Answer multiple 1.70 by 10.6 Add 1.70 multiple by 8.3 and that will give you the answer.
Calculate:
1.7*10.6 + 1.7*8.3=
$32.13
Therefore Luther made $32.13 in all from that sale.
Two players take turns removing a ball from a jar that initially contains m white and n black balls. The rst player to remove a white ball wins. Find the probability that the starting player wins.
½×½ which will be ¼
Step-by-step explanation:
because
Probability that the starting player wins:
\(P_{n} =\) m /n + m + n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)
Let us say that the probability that the first player wins is \(P_{n}\). Then this can be happen in two ways:
If the first player wins in the first move which has a probability: m /n + m
If the first player wins after the second move which has a probability :
n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)
Therefore by the law of probability,
\(P_{n} =\) m /n + m + n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)
This will allow us to find out the probability of first player winning the game recursively.
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help me please this is due tomorrow
well I can say all but a and g are nets according to that explenation
Make y the subject of: k=y-1/y
Answer:
Concept: Algebraic Manipulation
We want to make y the main variable. Start by moving y to over to one side or multiplying the inverse.So we have \(y = \frac{1}{1 - k} \)Rate positively and give brainlista poll shows that of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?
The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:
0.189 = 18.9%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters in the context of this problem are given as follows:
n = 3, p = 0.7.
Then the probability of exactly one success is calculated as follows:
P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.
Missing InformationThe proportion of voters that approve the mayor's work is of 70%.
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A deposit placed in an interest-earning account earning 8 percent a year will double in value in years. Multiple Cholce 6 8 9 72
The deposit placed in an interest-earning account earning 8 percent a year will double in value in 9 years.
To understand why, we can use the concept of the rule of 72. The rule of 72 is a useful rule of thumb that estimates the time it takes for an investment to double in value based on the interest rate. By dividing 72 by the interest rate, we can approximate the number of years required for doubling.
In this case, the interest rate is 8 percent. Applying the rule of 72, we divide 72 by 8, which gives us 9. Therefore, it would take approximately 9 years for the deposit to double in value.
The rule of 72 is a simplified approximation, and the exact time it takes for an investment to double will depend on the compounding frequency and the specific terms of the investment. However, for the purpose of this question, the closest option is 9 years, as calculated using the rule of 72.
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f(x) = x2 + 6x, g(x) = x + 4(g ∘ f)(2)
Given,
The expression is:
f(x) = x^2 + 6x
g(x) = x + 4
Required:
The value of (g ∘ f)(2).
The value of (g ∘ f)(x)
\(\begin{gathered} \left(g∘f\right)\left(x\right)=g(f(x)) \\ =g(x^2+6x) \\ =x^2+6x+4 \end{gathered}\)The value of (g ∘ f)(x) is x^2+6x+4.
The value of (g ∘ f)(2) is,
\(\begin{gathered} \left(g∘f\right)\left(x\right)=x^2+6x+4 \\ (g∘f)(2)=2^2+6(2)+4 \\ =4+12+4 \\ =20 \end{gathered}\)Hence, the value of (g ∘ f)(2) is 20.
Find the slope and y-intercept of the line. Graph the line.
Answer:
Graphing the equation we have;
Explanation:
Given the equation;
\(x+5y=40\)the slope of the line can be derived by expressing the equation in slope-intercept form;
\(\begin{gathered} 5y=-x+40 \\ y=-\frac{1}{5}x+\frac{40}{5} \\ y=-\frac{1}{5}x+8 \end{gathered}\)So, the slope and y-intercept are;
\(\begin{gathered} \text{slope m = -}\frac{1}{5} \\ y-\text{intercept b = 8} \end{gathered}\)to graph the equation, let us find the x-intercept;
\(\begin{gathered} at\text{ y=0;} \\ x+5y=40 \\ x+0=40 \\ x=40 \\ (40,0) \\ at\text{ x=0;} \\ (0,8) \end{gathered}\)Graphing the equation we have;
Other points on the graph includes;
\(\begin{gathered} at\text{ x=10}; \\ y=-\frac{1}{5}(10)+8=-2+8=6 \\ (10,6) \\ at\text{ x=20;} \\ y=-\frac{1}{5}(20)+8=-4+8=4 \\ (20,4) \end{gathered}\)Which graph shows a minimum fee of $10
Answer:
I dont see the graphs
Step-by-step explanation:
But thanks for the point lol
consider a large block of iced in the shape of a cube. at the time the block is 1 ft on each side, the lengths of each side are increasing at a rate of 2 ft per hour. at what rate is the volume of the block increasing at this time
The volume of the block is increasing at a rate of \(6 ft^3/hour\) at this time.
Space in three dimensions is quantified by volume. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.
The area occupied inside an object's three-dimensional bounds is referred to as its volume. The item's capacity is another name for it. A three-dimensional object's volume, which is expressed in cubic metres, is the quantity of space it takes up.
Let's start by finding the formula for the volume of a cube with side length s:
V = \(s^3\)
Now, let's differentiate both sides with respect to time (t):
dV/dt = \(3s^2(ds/dt)\)
We know that ds/dt = 2 ft/hour, and when s = 1 ft, we have:
dV/dt = \(3(1^2)(2) = 6 ft^3/hour\)
Therefore, the volume of the block is increasing at a rate of \(6 ft^3/hour\) at this time.
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please answer this question
Answer:
The answer is 0.15372
Step-by-step explanation:
Help pls !!!!!!! WILL GIVE BRAINLEST
Answer:
A. y < -12
Step-by-step explanation:
y + 15 < 3
y < 3 -15
y < -12
The solution of the inequality y + 15 < 3 is y < - 12
Inequalityy + 15 < 3Therefore,
y + 15 < 3
Subtract 15 from both sides
y + 15 - 15 < 3 - 15
y < 3 -15
Therefore,
y < -12
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At a bank, the tellers on average take 17 minutes per customer, with a standard deviation of 8 minutes. What is the coefficient of variation of the service time? (Write the answer as a decimal fraction, not a percentage. Provi de two decimal places)
The coefficient of variation of the service time at the bank is approximately 47.06%.
To find the coefficient of variation of the service time at the bank, we need to divide the standard deviation by the mean and then multiply by 100 to express it as a percentage.
Mean (µ) = 17 minutes
Standard Deviation (σ) = 8 minutes
To calculate the coefficient of variation:
Coefficient of Variation = (Standard Deviation / Mean) * 100
Coefficient of Variation = (8 / 17) * 100
Now, let's calculate it:
Coefficient of Variation = 0.470588 * 100
Therefore, the coefficient of variation of the service time at the bank is approximately 47.06%.
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On a separate sheet of paper, graph the function. In the answer box, describe the function.
Answer:
Step-by-step explanation:
Given piecewise function is,
f(x) = -5x + 2 If x < 2
2x - 2 If x ≥ 2
For f(x) = -5x + 2 If x < 2,
Graph of this piece will be a straight line with slope = -5 and y-intercept = 2
For f(x) = 2x - 2 If x ≥ 2,
Similarly, Graph of the second piece of the function will be a straight line with slope = 2 and y-intercept = -2.
By using the graphing tool we can draw the graph of the piecewise function given.
9 + y = 6 I NEED HELP ASAP
5
Answer:
y=-3
Step-by-step explanation:
Answer:
The answer to this question is -3.
Step-by-step explanation:
9 + y = 6
-9 -9
y = -3
determine the vertex of the graph of the quadratic function
The vertex of the quadratic function f(x) = 2x^2 + 4x - 3 is (-1, -5).To find the vertex of a quadratic function, calculate the x-coordinate using x = -b/2a and then substitute it back into the equation to find the y-coordinate. The resulting coordinates give you the vertex of the graph.
To determine the vertex of a quadratic function, we can use the formula x = -b/2a, where the quadratic function is in the form f(x) = ax^2 + bx + c.
The vertex of the quadratic function is the point (x, y) where the function reaches its minimum or maximum value, also known as the vertex.
In the equation f(x) = ax^2 + bx + c, we can see that a, b, and c are coefficients that determine the shape and position of the quadratic function.
To find the vertex, we need to determine the x-coordinate using the formula x = -b/2a. The x-coordinate gives us the location along the x-axis where the vertex is located.
Once we have the x-coordinate, we can substitute it back into the equation f(x) to find the corresponding y-coordinate.
Let's consider an example. Suppose we have the quadratic function f(x) = 2x^2 + 4x - 3.
Using the formula x = -b/2a, we can find the x-coordinate:
x = -(4) / 2(2)
x = -4 / 4
x = -1
Now, we substitute x = -1 back into the equation f(x) to find the y-coordinate:
f(-1) = 2(-1)^2 + 4(-1) - 3
f(-1) = 2(1) - 4 - 3
f(-1) = 2 - 4 - 3
f(-1) = -5
Therefore, the vertex of the quadratic function f(x) = 2x^2 + 4x - 3 is (-1, -5).
In general, to find the vertex of a quadratic function, calculate the x-coordinate using x = -b/2a and then substitute it back into the equation to find the y-coordinate. The resulting coordinates give you the vertex of the graph.
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HELP PLEASE FAST
Solve for x
Answer:
\(x^o+2x^o=180^o [Sum~of~angles~of~straight~line~is~180^o]\\or, 3x^o=180^o\\or, x = 60^o\)
Step-by-step explanation:
x + 70° = 130° {exterior angle of a triangle is equal to the sum of two opposite interior angles}
x = 130° - 70°
x = 60°
Now for 2x = 2 * 60° = 120°
September has come, and it is time to close the Pool.
Mr. Malizia and his brothers have to close the pool this
year. The pool contains 620 Gallons of water. When the
water is being drained, the pool loses 15 gallons of
water every minute,
2. Mr. Malizia sees that there are 230 gallons of water
left in the pool. How many minutes have gone by?
Show your work
Answer:
26 minutes
Step-by-step explanation:
620-230=390
390/15=26
hope this helped, have a nice day!!
All of the following are determinants of demand except ____________.
a. tastes and preferences
b. quantity suplied
c. income
d. price of related goods
Answer:
quantity supplied
Step-by-step explanation:
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$) [asy] unitsize(1.5 cm); draw((0,0)--dir(60)--(1,0)); draw((0,0)--(1,0)); draw((0,0)--dir(-60)--(1,0)); label("$A$", (0,0), W); label("$B$", (1,0), E); [/asy]
Answer:
There are $\boxed{3}$ paths from $A$ to $B.$
Can somebody help me with this and show work ?? :)
Answer: C.
Step-by-step explanation:
If the figure gets rotated 270ᴼ, then all of the transformed sides are perpendicular to the sides of the original figure.
The slope of DE is 2/4 (2 units up, 4 units over) or 1/2. If D’E’ is perpendicular to DE, then the slopes have negative reciprocals.
DE’s slope: 1/2
D’E’ slope: -2/1 or -2 (down 2, over 1)