Determine the radius and interval of convergence of the following series... SERIES ANSWERS α) Σ. (x-1)" R=1; ( 0,2) n+1 b) Σ n*(x-2)" R=1; (13) n=0 ΟΣ (2x+1)" R=1; [-1,0] 11 «Σ R=2; (-2,2) ΜΠΟ ©Σ (1)"n*(x+2)" 3" n=1 Η
Answers
The interval of convergence of the given series is (-2, 8).
Given series are as follows;Series a: Σ (x-1)" R=1; ( 0,2) n+1Series b: Σ n*(x-2)" R=1; (13) n=0Series c: ΟΣ (2x+1)" R=1; [-1,0]Series d: Σ R=2; (-2,2)Series e: ΜΠΟ ©Σ (1)"n*(x+2)" 3" n=1 Η(a) Σ (x - 1)" R= 1; (0,2) n+1
Formula to calculate the radius of convergence, r is given as:$$\text{r = }\frac{1}{\text{lim sup }{\sqrt[n]{|a_n|}}}$$In this series, aₙ = 1/(n+1), then lim sup|aₙ|^1/n=1
Therefore, r = 1/1 = 1Now, we need to find the interval of convergence. Substitute x = 0, we get;$$\sum_{n=1}^{\infty}{(0-1)^n}$$Here, (-1)ⁿ alternates between -1 and 1, and thus, the series diverges.
Therefore, x = 0 is not included in the interval of convergence of the given series. Next, substitute x = 2, we get;$$\sum_{n=1}^{\infty}{(2-1)^n}$$This series converges.
Therefore, 2 is included in the interval of convergence. Hence, the interval of convergence of the given series is (0, 2).(b) Σ n*(x - 2)" R= 1; (13) n=0Formula to calculate the radius of convergence, r is given as:$$\text{r = }\frac{1}{\text{lim sup }{\sqrt[n]{|a_n|}}}$$In this series, aₙ = n, then lim sup|aₙ|^1/n=1Therefore, r = 1/1 = 1
Now, we need to find the interval of convergence.Substitute x = 13, we get;$$\sum_{n=1}^{\infty}{n(13-2)^n}$$The above series diverges. Therefore, 13 is not included in the interval of convergence of the given series. Next, substitute x = -1, we get;$$\sum_{n=1}^{\infty}{n(-1-2)^n}$$This series converges.
Therefore, -1 is included in the interval of convergence. Hence, the interval of convergence of the given series is [-1, 13).(c) ΟΣ (2x+1)" R= 1; [-1,0]Formula to calculate the radius of convergence, r is given as:$$\text{r = }\frac{1}{\text{lim sup }{\sqrt[n]{|a_n|}}}$$In this series, aₙ = 2ⁿ, then lim sup|aₙ|^1/n=2Therefore, r = 1/2
Now, we need to find the interval of convergence.Substitute x = -1, we get;$$\sum_{n=1}^{\infty}{(2(-1)+1)^n}$$This series diverges. Therefore, -1 is not included in the interval of convergence of the given series. Next, substitute x = 0, we get;$$\sum_{n=1}^{\infty}{(2(0)+1)^n}$$This series converges. Therefore, 0 is included in the interval of convergence. Hence, the interval of convergence of the given series is [-1/2, 1/2].(d) Σ R=2; (-2,2)
The given series is an infinite geometric series with a = 1/2 and r = 1/2. The formula to calculate the sum of an infinite geometric series is given as:S = a/(1-r)Substituting the values, we get;S = (1/2)/(1-1/2) = 1
Therefore, the sum of the given series is 1.(e) ΜΠΟ ©Σ (1)"n*(x+2)" 3" n=1 Η
Formula to calculate the radius of convergence, r is given as:$$\text{r = }\frac{1}{\text{lim sup }{\sqrt[n]{|a_n|}}}$$In this series, aₙ = (1/3)ⁿ, then lim sup|aₙ|^1/n=1/3Therefore, r = 1/(1/3) = 3 Now, we need to find the interval of convergence.
Substitute x = -5, we get;$$\sum_{n=1}^{\infty}{(-1)^{n-1}(3)^{-n}(3x-6)^n}$$ Here, (-1)n-1 alternates between -1 and 1, and thus, the series diverges. Therefore, -5 is not included in the interval of convergence of the given series.
Next, substitute x = 1, we get;$$\sum_{n=1}^{\infty}{(-1)^{n-1}(3)^{-n}(3(1)+2)^n}$$ This series converges. Therefore, 1 is included in the interval of convergence. Hence, the interval of convergence of the given series is (-2, 8).
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Related Questions
0.1 (0.5 + 6) = 2
I thank you a million who ever helps me
Answers
Answer:
m = 28
Step-by-step explanation:
Simplifying
0.1(0.5m + 6) = 2
Reorder the terms:
0.1(6 + 0.5m) = 2
(6 * 0.1 + 0.5m * 0.1) = 2
(0.6 + 0.05m) = 2
Solving
0.6 + 0.05m = 2
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.05m = 2 + -0.6
Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.05m = 2 + -0.6
0.05m = 2 + -0.6
Combine like terms: 2 + -0.6 = 1.4
0.05m = 1.4
Divide each side by '0.05'.
m = 28
Simplifying
m = 28
Celine i etimating the number of tile in a moaic. There are 7 different color, and 472 tile of each color. There are alo 96 blank tile. What hould Celine’ etimate be?
Answers
Celine should estimate 3400 tiles in a mosaic.
The total number of tiles in mosaic will be sum of coloured tiles and blank tiles. So, there is a variety in coloured tiles. To calculate this we will perform multiplication.
Number of coloured tiles = Number of different coloured tiles × Number of each different coloured tile
Number of coloured tiles = 7 × 472
Performing multiplication on Right Hand Side of the equation
Number of coloured tiles = 3304
Total number of tiles = 3304 + 96
Performing addition on Right Hand Side of the equation
Total number of tiles = 3400 tiles
The estimate will be 3400 tiles.
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12 i
REASONING Target A has a circumference of 20 feet. Target B has a diameter of 3 feet. Both targets are the same
distance away. Which target is easier to hit?
Answers
Answer:
target a
Step-by-step explanation:
target b has a 6 ft. circumference
Which shows two triangles that are congruent by the SSS congruence theorem?
O
O
O
A
B
B
B
B
E
E
C
C
D
D
E
W
Answers
The second option shows a pair of triangles which are congruent by the SSS congruence theorem.
What is the SSS congruence theorem?The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.
The congruent sides for the second option are given as follows:
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2x - 3 y = -1 y = x - 1 Solve each system of equations. Show all your work.
Answers
x = 4, y = 3 for the given equation 2x - 3 y = -1 , y = x - 1 .
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfil the equality are known as the equation's solutions.Given data :
2x - 3 y = -1
y = x - 1
In a system of equations, there are multiple equations present. We actually look for the point at which these equations are identical when we attempt to solve a system of equations problem. In order to solve such an issue, we typically employ the substitution method, which involves inserting the values of one variable into the initial expression in order to determine the value of the second variable.
3y=2x+1
y= (2/3)x + 1/3 = x-1
x/3 =4/3
x = 4, y=3
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SUMMATIVE TEST
ARALING PANLIPUNAN 4
QUARTER 2
tama
temeli
1
Panuto: Isulat kung TAMA O MALI ang mga sumusunod na pahayag.
1. Nakabatay ang hanapbuhay sa kapaligiran.
Gama 2. May interaksyon ang tao sa kanyang kapaligiran,
3. Malawak ang pangisdaan sa Pilipinas.
4. Magkakaiba ang produkto sa iba't-ibang bahagi ng bansa ayon sa kapaligiran.
5. Umaasa ang Pilipino sa gobyerno para matapos ang mga pangangailangan
6. Ang mga likas na yaman ay inaangkat natin sa ibang bansa
7. Ang climate change ay nagpapayaman sa Pilipinas
8. Ang polusyon ay nakaapekto ng mabuti sa ating kalusugan,
9. Ang pagre-recycle ay matalinong pangangasiwa ng mga bansa.
10. Ang likas na yaman ay maaaring maubos at mawala.
Answers
Answer:
1.mali
2.mali
3tama
4.tama
5.mali
6.tama
7.mali
8.mali
9.tama
10.mali
Given the pair-wise comparison matrix that provides the results of each pair-wise comparison among four criteria, labeled A, B, C, and D.
Using the Nth-root pairwise comparison technique, what would the normalized weight of criterion B be? (select one)
Group of answer choices
0. 52
0. 45
0. 42
0. 35
0. 38
Answers
The normalized weight of criterion B would be approximately 2.213.
None of the provided answer choices match this value, so there may be a mistake in the available options or in the calculations provided. It would be best to review the question and the calculations to ensure accuracy.
The Nth-root pairwise comparison technique is used to calculate the normalized weights of criteria in a pair-wise comparison matrix. In this case, we have a pair-wise comparison matrix that provides the results of each pair-wise comparison among four criteria labeled A, B, C, and D.
To calculate the normalized weight of criterion B, we need to find the Nth-root of the product of the comparisons involving criterion B. The Nth-root is usually the number of criteria being compared, which is 4 in this case.
Let's assume the comparisons involving criterion B are as follows:
- A compared to B: 3
- B compared to C: 2
- B compared to D: 4
To find the normalized weight of criterion B, we calculate the Nth-root of the product of these comparisons:
Nth-root (3 x 2 x 4)
Calculating the product: 3 x 2 x 4 = 24
Calculating the 4th root of 24: √√24 ≈ 2.213
Therefore, the normalized weight of criterion B would be approximately 2.213.
None of the provided answer choices match this value, so there may be a mistake in the available options or in the calculations provided. It would be best to review the question and the calculations to ensure accuracy.
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PLEASE HELP. Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. 1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work. 2. Describe how you would graph this line using the slope-intercept method. Be sure to show all your work. 3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to show all your work. 4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology. 5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Answers
They are similar because they have the same slope the equation is
y = -2/3x + 531
What is in slope-intercept form?
Given a line's slope and the intercept it makes with the y-axis, one of the mathematical forms used to determine a straight line's equation is called the slope intercept form. The slope intercept form is expressed as y = mx + b, where m is the slope of the straight line and b is the y-intercept.changing 2x+3y=1470 to slope intercept form is solving for y
minus 2x both sides and divide by 3
y = -2/3x + 490
the slope is -2/3
the y intercept is y=490 or the point (0,490)
to graph it, I would start at the origin and go up 490 units on the y axis and put a point there
then go -2 units up (2 down) and 3 to the right and put a point there
then connect the 2 points with a line
in function notation, replace y with f(x) to get
y = -2/3x + 490
graph below
intercepts labeled
2x+3y=1593
they are similar because they have the same slope
the equation is y = -2/3x + 531
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if you have $11 and save $5 each week how much money you will have after 6 weeks
Answers
Answer: 41$
Step-by-step explanation:
This is because 5x6=30 (To find how much money is made)
then 11+30=41 (add both amounts)
Julie has $538 in her bank account. On Monday, she withdrew $218 from her bank account. On Friday, she deposited $49 into her
bank account. What is the net change in her bank account balance from before she made her withdrawal on Monday until after her
deposit on Friday?
Answers
Answer:
Step-by-step explanation:Before her deposit on Monday, she had $538 now she has, 538 - 218 + 49 = $369 in her bank account after her withdraw on Friday. Hope this helps, best of luck!
Solve: /3=46
x/3 is a fractions
Answers
answer :138
x/3=46
x=46*3
x=138
A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 10. The lengths of the rectangular base are 8 and 6 units. The height of the rectangular prism is 4.
Which expression represents the volume, in cubic units, of the composite figure?
One-third(8)(6)(6) + (8)(6)(4)
One-third(8)(6)(10) + (8)(6)(4)
(8)(6)(4) – (One-third)(8)(6)(6)
(8)(6)(4) – (One-third)(8)(6)(10)
Answers
The volume of the composite figure is One-third(8)(6)(6) + (8)(6)(4).
What is the volume of the composite figure?A rectangular prism and pyramid are three-dimensional shapes.
Volume of a rectangular prism = length x width x height
4 x 6 x 8
Volume of a rectangular pyramid = 1/3 x (length x width x height)
Height = 10 - 4 = 6 units
Volume = 1/3(6x6x8)
Volume of the composite figure = One-third(8)(6)(6) + (8)(6)(4)
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Answer:
The volume of the composite figure is One-third(8)(6)(6) + (8)(6)(4).What is the volume of the composite figure?A rectangular prism and pyramid are three-dimensional shapes.Volume of a rectangular prism = length x width x height4 x 6 x 8Volume of a rectangular pyramid = 1/3 x (length x width x height)Height = 10 - 4 = 6 unitsVolume = 1/3(6x6x8)Volume of the composite figure = One-third(8)(6)(6) + (8)(6)(4)What will be the sales price of the car if it has a regular price of $16000 and is on sale for 20% off? Determine the cost of the car including 13% tax.
Answers
Answer:
Total cost = $14464
Step-by-step explanation:
Step 1: Multiply the discount percentage by the regular price to determine the discount amount:
0.20 * 16000 = 3200
Thus, the 20% discount lowers the regular price by $3200.
Step 2: Subtract the discount amount from the regular price to determine the new price:
16000 - 3200 = 12800.
Thus, the subtotal is $12800
Step 3: Multiply tax percentage by subtotal to determine tax:
0.13 * 12800 = 1664
Thus, the 13% tax rate would raise the subtotal by $1664.
Step 4: Add the tax to the subtotal to find the cost price.
1664 + 12800 = 14464.
Thus, the total cost of the car is $14464.
Thus, the total cost of the car with the 20% discount and the 13% tax is 14464.
the average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. the number of shoppers is normally distributed. for a random day, what is the probability that there are between 250 and 450 shoppers at the grocery store?
Answers
For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.
Probability is a measure of the likelihood that an event will occur.
Many events cannot be predicted with absolute certainty. We can only predict the probability that an event will occur, i.e. how likely it is to occur, using it.The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.
Let, X be the random variable denoting the number of shoppers on a random day.
Then, X follows normal with mean 505 and standard deviation of 115.
Then, we can say that,
Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.
We have to find
P (250 <X< 450)
= P {(250-505)/155} < Z < {(450-505)/155}
= P (-1.64 <Z< -0.03)
Where, Z is the standard normal variate.
ρ = -1.64 <ρ< -0.03
Where, ρ is the distribution function of the standard normal variate.
From the standard normal table, this becomes
=0.00585
For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.
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The Mega-Bucks Corporation is planning its production schedule for the next four weeks and is forecasting the following demand for compound X—a key raw material used in its production process:
Forecasted Demand of Compound X
Week
1
2
3
4
Demand
400 lbs.
150 lbs.
200 lbs.
350 lbs.
The company currently has no compound X on hand. The supplier of this product delivers only in batch sizes that are multiples of 100 pounds (0, 100, 200, 300, and so on). The price of this material is $125 per 100 pounds. Deliveries can be arranged weekly, but there is a delivery charge of $50. Mega-Bucks estimates that it costs $15 for each 100 pounds of compound X held in inventory from one week to the next. Assuming Mega-Bucks does not want more than 50 pounds of compound X in inventory at the end of week 4, how much should it order each week so that the demand for this product will be met in the least costly manner?
a. Formulate an ILP model for this problem.
b. Create a spreadsheet model for this problem, and solve it using Solver.
c. What is the optimal solution?
Answers
The company should order 800 pounds of compound X over the 4-week period.
a. Formulate an ILP model for this problem.
Let's assume, x represents the quantity of compound X ordered in 100-pound lots and Y represents the pounds of compound X held in inventory from one week to the next.
The objective function to be minimized is:
125x + 50(max (0, y1) + max (0, y2) + max (0, y3) + max (0, y4)) + 15(y1 + y2 + y3) + 15y4
The demand constraints can be represented as follows:
y0 = 0
y1 = x – 400
y2 = y1 + x – 150
y3 = y2 + x – 200
y4 = y3 + x – 350
Each of these constraints assures that the compound available in stock at the beginning of each week (yi) plus the compound received each week (x) less the demand for that week equals the amount left in stock for the next week.
b. Create a spreadsheet model for this problem, and solve it using Solver.
The spreadsheet model for the problem has been shown below.
To solve the problem using Solver, follow the steps below:
Step 1: Open the solver and set the objective function to be minimized.
Step 2: Set the constraints, which are the demand constraints.
Step 3: Choose the changing cells, which are x and y0.
Step 4: Set non-negative constraints for x and y0 and set binary constraints for x.
Step 5: Click on Solve and you will get the following output.
c. The optimal solution is that Mega-Bucks Corporation should order 2 batches of 100 pounds each of compound X every week. In total, the company should order 800 pounds of compound X over the 4-week period.
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A cylinder with radius 3 feet and height 5 feet is there. What is the volume of the cylinder? Round answer to the nearest hundredth.
Answers
Answer:
volume of cylinder
= πr²h
= π×3²×5
= π×9×5
=45π
= 141.37 cubic feet
14 m 8 cm =?????????cm
Answers
Answer:
1408
Step-by-step explanation:
what are lijpharts four ways to minimize many variables small n
problem
Answers
Increase the number of cases as much as possible. This is the most obvious way to minimize the problem, but it is often not possible due to practical constraints. Focus on the most important variables. This involves carefully selecting the variables that are most likely to be related to the outcome of interest.
Use statistical controls. This involves using statistical techniques to account for the effects of other variables that may be correlated with the independent and dependent variables. Use case studies. Case studies can be used to provide in-depth analysis of a small number of cases. This can be helpful for understanding the causal mechanisms behind a particular phenomenon.
The many variables, small N problem refers to the difficulty of conducting comparative research when there are a limited number of cases and a large number of potential variables to consider. This can make it difficult to isolate the effects of any one variable, and can lead to spurious results.
Lijphart's four methods can be used to minimize the effects of this problem. Increasing the number of cases is the most effective way to do this, but it is often not possible. Focusing on the most important variables can also be helpful, but it is important to be aware of the potential for omitted variable bias. Using statistical controls can help to account for the effects of other variables, but it is important to choose the controls carefully. Case studies can provide in-depth analysis of a small number of cases, but they are limited in their ability to generalize to other cases.
In practice, it is often necessary to use a combination of these methods to minimize the effects of the many variables, small N problem.
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Decrease 20 by 1/4 how do You do it
Answers
Answer:
You will divide 20 by 4 so it is 5
Answer:
15
Step-by-step explanation:
20/4 = 5 this is 1/4 of 20
but youre looking for a quater off, so 20-5 = 15
How many different ways are there to choose a dozen donuts from the 21 varieties at a donut shop?
Answers
Answer:
352716
Step-by-step explanation:
Here all we have to do is
counting the number of possible combinations of 10 elements that we can form out of a set of 21 elements.
then
The number of ways = 21C10 = 352716
Note :
\(21C10=C^{10}_{21}=\frac{21!}{10!\times \left( 21-10\right) !}\)
Find the right answer 5(2x+12)<-2x-60
Answers
Answer:
Inequality form: x < -10 Interval Notation: (-∞,-10)
Step-by-step explanation:
Hope this helps!
Bell Work
You Do
Camspite A is 5 miles north and 2 miles east of a ranger station.
Campsite B is 8 miles north and 6 miles east of the ranger station.
How far is Campsite A from Campsite B?
A 1 mi
B 5 mi
7 mi
25 mi
Answers
7 i do not feel like explaining tbh
what is the 4+6+9+0+6000438975.226
Answers
Answer:
It equals 0
Step-by-step explanation:
Hope it helps!
Choose the best interpretation of these data: the correlation coefficient between number of hours of studied and the score on a test is r = .59.
1.More study leads to a higher score on the test.
2. There is a direct relationship between number of hours studied and the score on the test.
3. More study leads to a lower score on the test.
4. There is an indirect relationship between number of hours studied and the score on the test.
Answers
The best interpretation of these data is that there is a direct relationship between number of hours studied and the score on the test.
The correlation coefficient r measures the strength and direction of a linear relationship between two variables. In this case, the positive value of r = .59 indicates a direct (or positive) relationship between number of hours studied and the score on the test. This means that as the number of hours studied increases, the score on the test tends to increase as well.
Therefore, we can conclude that more study leads to a higher score on the test.
Option 1 and 2 are correct interpretations, while options 3 and 4 are incorrect. Option 3 implies a negative correlation coefficient, while option 4 implies an inverse relationship between the variables, which is not the case here.
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On a test that has a normal distribution, a score of 54 falls two standard deviations
above the mean, and a score of 42 falls one standard deviation below the mean.
Determine the mean of this test.
Answers
Let μ be the mean of the distribution and let σ be its standard deviation.
We know that 54 falls two standard deviations above the mean, this can be express as:
\(\mu+2\sigma=54\)We also know that 42 falls one standard deviation below the mean, this can be express as:
\(\mu-\sigma=42\)Hence, we have the system of equations:
\(\begin{gathered} \mu+2\sigma=54 \\ \mu-\sigma=42 \end{gathered}\)To find the mean we solve the second equation for the standard deviation:
\(\sigma=\mu-42\)Now we plug this value in the first equation:
\(\begin{gathered} \mu+2(\mu-42)=54 \\ \mu+2\mu-84=54 \\ 3\mu=138 \\ \mu=\frac{138}{3} \\ \mu=46 \end{gathered}\)Therefore, the mean of the distribution is 46
Solve 2(3x+6)=3(x-9)
Answers
Answer:
-13
Step-by-step explanation:
See steps below:
2(3x+6)=3(x-9) ⇒ distribution6x + 12 = 3x - 27 ⇒ grouping like terms6x - 3x = -27 - 12 ⇒ simplifying3x = -39x= -39/3x = -13 ⇒ answer●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
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\(\boxed{-13}\)
Let's solve your equation step-by-step.
\(2(3x+6)=3(x-9)\)
Step 1: Simplify both sides of the equation.
\(2(3x+6)=3(x-9)\)
\((2) (3x) + (2) (6) = (3)(^{x}) + (3) (-9)\) (Distribute)
\(6x + 12 = 3x + -27\)
\(6x + 12 = 3x -27\)
Step 2: Subtract 3x from both sides.
\(6x + 12 - 3x = 3x - 27 - 3x\\3x + 12 = -27\)
Step 3: Subtract 12 from both sides.
\(3x + 12 - 12 = -27 - 12\\3x = -39\)
Step 4: Divide both sides by 3.
\(\frac{3x}{3} = \frac{-39}{3}\\x = -13\)
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how to find the equation of a quadratic function given 3 points
Answers
1. Write the general form of a quadratic function: y = ax^2 + bx + c
2. Plug in the coordinates of the first point to get an equation: y1 = a(x1)^2 + b(x1) + c
3. Plug in the coordinates of the second point to get another equation: y2 = a(x2)^2 + b(x2) + c
4. Plug in the coordinates of the third point to get a third equation: y3 = a(x3)^2 + b(x3) + c
5. Use a system of equations to solve for a, b, and c. You can do this by either substitution or elimination.
Once you have solved for a, b, and c, you can plug them back into the general form of the quadratic function to get the equation.
A rectangular prism has a length of 2 1/2 meters, a width of a moters, and a height of 2 1/4 meters,
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal,ima abt to get my a.s whooped so please help
Answers
Answer:
53
Step-by-step explanation:
Answer:
answer is 22 1/2 or in decimal form it would be 22.5
Step-by-step explanation:
Evaluate the function.
F(x) = -x^2+9x-17
Find F (-5)
Answers
⇒F(-5) just simply means that in the function F in the place of x you have to plug in -5 and simplify if possible.
\(f(-5)= -(-5)^{2} +9(-5)-17\\f(-5)=-(25)-45-17\\f(-5)=-25-45-17\\f(-5)=-70-17\\f(-5)=-87\)
the answer to f(-5) is -87
GOODLUCK!!
Find the value of x.
9.
10.
(3x)"
75°
11.
12.
x + 5
60°
21
4x + 1
30°
30
60°
60°
PLEASE HELP!!
Answers
10: x=20
11: x=5
12: x=2