Answer:
D
Step-by-step explanation:
D
8 and 11 are both greater than 7
The values for random variables in a Monte Carlo simulation are
a. selected manually.
b. generated randomly from probability distributions.
c. taken from forecasting analysis.
d. derived secondarily using formulas.
The correct option is (B) generated randomly from probability distributions.
The values for random variables in a Monte Carlo simulation are generated randomly from probability distributions.
A frequency distribution that has been idealized is a probability distribution. An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value of a variable appears. The probability of occurrence of a value determines how frequently it appears in a sample.
A random variable can have any number of alternative values and likelihoods within a particular range, and a probability distribution is a statistical function that captures all of these possibilities. This range will be constrained by the minimum and maximum possible values, but the location of the possible value on the probability distribution will rely on a number of other variables.
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WILL MARK BRAINLIEST!
Bob is a barista. He worked for 6 hours and earns $12 in tips. If he made $84 by the end of the day, how much does Bob make an hour? Which equation with a variable represents this situation.
Josh has $15 to spend on supplies for his fishing tackle box. He wants carbon black freshwater fish hooks, which cost $0.45 each, and vivid color spinnerbaits, which cost $2.75 each. He wants to buy more than 10 totalitems. Pick the combinations that are reasonable given his needs (select all that apply). Answers 10 carbon black freshwater fish hooks and 6 vivid color spinner balts. 2 carbon black freshwater fish hooks and 6 vivid color spinner balts. 15 carbon black freshwater fish hooks and 3 vivid color spinnerbaits. 9 carbon black freshwater fish hooks and 2 vivid color spinner balts. 8 carbon black freshwater fish hooks and 2 vivid color spinner baits
The options reasonable to his needs is 15 carbon black freshwater fish hooks and 3 vivd color spinnerbaits. they cost a combined 15 dollars, which Josh has.
or 9 carbon black freshwater fish hooks and 2 vivid color spinnerbaits. they cost a combined 9.55 dollars, which Josh has.
find the centroid of the region bounded by the given curves. y=12x,y=√x
The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).
To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.
Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.
Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\) We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)
Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.
\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)
where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain
\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\] \[x = 72\]\)
The y-coordinate of the centroid is given by the formula below.
\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)
Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\] \[y = 1.88\]\)
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Ahmad obtained a car loan of RM 700000 from a bank with an interest rate of 3.2% per annum for 9 years. Calculate the loan amount that Ahmad needs to repay.
The loan amount that Ahmad needs to relay will be RM 901600
How to calculate the interest?From the information, Ahmad obtained a car loan of RM 700000 from a bank with an interest rate of 3.2% per annum for 9 years.
The interest based on the information will be:
= Principal × Rate × Time
= 700000 × 3.2% × 9
= $201600
The loan amount that Ahmad needs to relay will be:
= 700000 + 201600
= 901600
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what is the slope of this equation? y=8-x
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(y = 8 - x\)
\(y = - x + 8\)
\(y = - 1x + 8\)
\(Slope = coefficient \: \: of \: \: x \)
Thus :
\(Slope = - 1\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Factor 4 out of 4x + 12.
Answer:
4(x + 3)
Step-by-step explanation:
So, to solve these questions is pretty simple.
4 times what equals 4x, and 4 times what equals 12?
Well,
4 times x = 4x, and 4 times 3 = 12.
soo.
4(x + 3)
Answer:
4x+12 factor 4 out of the equation
4(x+3)19) : -7x=5.6⇒ x=-5.6/-7
x=5.6/7=0.8x/8- 5/2=5/2 common factor
(x-20)/8 =5/2
2(x-20)=40
2x-40=40
2x=80
x=80/2=40Given f(x)=3x/x+2, evaluate.
f(-3)= ? explain..
I will give Brainliest!
Answer:
9
Step-by-step explanation:
Plug the -3 value into the equation.
3( -3 ) / -3 + 2
-9 / -1
negative divided by a negative gives a positive result
9
What is the slope of the line?
Answer:
solpe=-1
Step-by-step explanation:
slope = (y2-y1/X2-X1)
(2,0) (0,2)
(2-0/0-2)
2/-2
slope= -1
Calculate the reliability of the following system:
0.90 0.90
0.90 0.90 0.85
0.85 0.85 0.92
The reliability of the given system is 0.4033.
To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:
Component 1: 0.90
Component 2: 0.90 0.90 0.85
Component 3: 0.85 0.85 0.92
To find the overall system reliability, we multiply these values together:
System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability
System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)
System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033
Therefore, the reliability of the given system is 0.4033.
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if in the army there is one officer for every 16 privates, how many officers are there in a regiment consisting of 1,105 officers and privates?
The number of officers in the regiment is given as follows:
65.
How to obtain the number of officers?The number of officers is obtained solving a system of equations, for which the variables are given as follows:
x: number of officers.y: number of privates.There is one officer for 16 privates, hence the first equation is given as follows:
y = 16x.
The total number of people is of 1105, hence:
x + y = 1105.
Replacing the first equation into the second, the total number of officers is given as follows:
x + 16x = 1105
x = 1105/17
x = 65.
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Find *Square Root* x(x+1)(x+2)(x+3)+1 using factorization
The simplified expression is:
√[x (x + 1)(x + 2)(x + 3) + 1] = |x² + 3x| √[2 (x + 1)] + (3x + 1)√2
We have,
We can use the technique of completing the square to simplify the expression under the square root.
Let's begin by expanding the expression inside the square root:
x (x + 1) (x + 2) (x + 3) + 1 = x (x³ + 6x² + 11x + 6) + 1
= x^4 + 6x³ + 11x² + 6x + 1
Now, we can rewrite this expression by adding and subtracting a constant term that completes the square of the first three terms:
x^4 + 6x³ + 11x² = (x² + 3x)² + 2x³ + 2x²
= (x² + 3x)² + 2x²(x + 1)
Substituting this expression into the original one.
x^4 + 6x³ + 11x² + 6x + 1
= (x² + 3x)² + 2x²(x + 1) + 6x + 1
\(= (x^2 + 3x)^2 + 2x^2(x+1) + 2(3x+1)^2\)
Now, we can rewrite the original expression as:
√[x (x + 1) (x + 2) (x + 3) + 1]
= √[(x² + 3x)² + 2x²(x + 1) + 2 (3x + 1)²]
= |x² + 3x| √[2 (x + 1)] + (3x + 1)√2
Since we are taking the square root of a sum of squares, we must take the absolute value of x² + 3x.
Therefore, the expression under the square root is nonnegative for all real values of x.
Therefore,
The simplified expression is:
√[x (x + 1)(x + 2)(x + 3) + 1] = |x² + 3x| √[2 (x + 1)] + (3x + 1)√2
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What is 3 times 4 brodie:)
Answer:
the ans of this q should be 12 because 3 times 4 is 12 and the last word (brodie) the meaning of this word i dont know so yaa
Find the volume of each (show work)
The volume of each solid is approximately: a. 2,280.8 cubic feet.
b. 113.1 cubic cm. c. 268.1 cubic cm. d. 26.7 cubic in.
How to Find the Volume of Solids?a. The solid is half of a sphere, therefore, the formula for finding the volume is:
V = (2/3)πr³, where r is the radius = 33 ft
Substitute:
Volume (V) = (2/3)π * 33³ ≈ 2,280.8 cubic feet.
b. The solid is sphere, therefore, the formula for finding the volume is:
V = (4/3)πr³, where r is the radius = 6/2 = 3 cm
Substitute:
Volume (V) = 4/3*π*3³ ≈ 113.1 cubic cm.
c. The solid is a cone, therefore, the formula for finding the volume is:
V = 1/3*πr²h where r is the radius = 8 cm, height (h) = 4 cm
Substitute:
Volume (V) = 1/3*π*8²*4 ≈ 268.1 cubic cm.
d. The solid is a square pyramid, therefore, the formula for finding the volume is:
V = 1/3*a²h
where a is the base length = 4 in., height (h) = 5 in.
Substitute:
Volume (V) = 1/3*4²*5 ≈ 26.7 cubic in.
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A puppy weighed 2kg.
Eight weeks later the puppy weighed 3.5kg
What was the percentage increase in the puppy's weight?
Answer:
\(3.5 - 2 \times 100 \div 2\)
Answer:
The percentage increase in the puppy's weight is 75%.
Step-by-step explanation:
We can find the percentage increase using the following formula:
\(\boxed{\% \space\ \mathrm {increase = \frac{final \space\ - \space\ initial}{initial} \times 100}}\).
In this case,
• initial = 2 kg
• final = 3.5 kg
Substituting these values into the formula:
\({\% \space\ \mathrm {increase = \frac{3.5 \space\ - \space\ 2}{2} \times 100}}\)
⇒ \(\frac{1.5}{2} \times 100\)
⇒ \(0.75 \times 100\)
⇒ 75%
Cleveland, OH, where the maximum and minimum temperatures were 70
∘
F and 58
∘
F respectively, experienced a mean temperature of
∘
F (round up if necessary). a. 58 b. 60 c. 64 d. 66 11. The mean temperature derived from the maximum and minimum temperatures at Cleveland indicates degree days were accumulated. a. heating (HDD) b. cooling (CDD) 12. Therefore, Cleveland accumulated degree day(s) on 6-7 September 2022. a. 0 b. 1 c. 3 d. 7 13. Based on the plotted temperatures across the rest of Ohio, remaining stations HDD on 6-7 September 2022. a. accumulated b. did not accumulate You can observe and calculate HDD or CDD as we progress into the fall and through the winter. Wind Chill HDD and CDD values and their effect on homeowners' utility bills may stress tight budgets through the seasons. Since energy bills are dependent on the human who uses the energy, another factor for homeowners to consider when budgeting energy consumption is wind chill. The wind chill is an air temperature index that takes into account heat loss from exposed skin caused by the combined effect of wind and low air temperature. Outdoors, the cooling effect of wind along with the ambient temperature is reflected by using the wind chill equivalent temperature. Go to NWS Daily Weather Map for the most recent map. The pane to the left allows you to select any date back to 1 January 2003. Each day's map series includes the surface map, colorcoded maps of maximum and minimum temperatures, mid-tropospheric flow at the 500−mb level, and total precipitation. The surface and 500−mb maps are for 12Z(8a.m. EDT or 7a.m. EST, etc.) while the temperatures and precipitation maps are for the entire day. Clicking on the maps opens a more detailed map. Bring up the daily weather map set for 23 January 2022 . Scroll down and click on either the Maximum or Minimum Temperature map. 14. For 23 January 2022, on the North Dakota-Minnesota border, Fargo had a minimum temperature of −25
∘
F. With the minimum temperature there, assume Fargo was experiencing a wind speed of 10mph. With the NWS Wind Chill Chart in Figure 4A-5 from Investigation 4A, the wind chill for this combination of temperature and wind speed would have been
∘
F. a. −16 b. −20 c. −35 d. −41 e. −47
The mean temperature in Cleveland, OH, was 64°F. The accumulated degree days for Cleveland on 6-7 September 2022 were 1. The rest of Ohio accumulated degree days during the same period.
Based on the given information, the maximum temperature in Cleveland was 70°F and the minimum temperature was 58°F. To find the mean temperature, we add the maximum and minimum temperatures and divide by 2: (70°F + 58°F) / 2 = 128°F / 2 = 64°F.
Degree days are a measure of heating or cooling requirements. In this case, since the mean temperature in Cleveland was lower than a certain base temperature, degree days were accumulated. The base temperature is typically set at 65°F for cooling and 55°F for heating. Since the mean temperature in Cleveland was below the base temperature, the accumulated degree days are heating degree days (HDD).
For the specific date of 6-7 September 2022, Cleveland accumulated 1 heating degree day (HDD). This means that the average temperature for that period was 1 degree below the base temperature of 55°F.
The remaining stations in Ohio also accumulated heating degree days (HDD) on 6-7 September 2022. This indicates that the temperatures across the rest of Ohio were below the base temperature during that period.
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help me for brainlist ez brainlist
Answer:
why was ur last question deleted?
Step-by-step explanation:
I was answering for it but the answer is B
A careless delivery man tries to find a missing letter. We know that the letter is equally likely to be in any one of three different boxes. Let be the probability that the delivery man will find the letter upon making a quick examination of box if the letter is, in fact, in box . 1=0.9, 2=0.8, 3=0.7. Suppose he looks in box 1 and does not find the letter. Which of the following statements is correct?
A. The probability that the letter is in box 1 is less than 5%
B. The probability that the letter is in box 2 is greater than 50%
C. The probability that the letter is in box 3 is greater than or equal to 50% D. None of above.
Using Bayes' theorem to calculate the updated probabilities after the delivery man looks in box 1 and does not find the letter.
A, B, and C are all incorrect, the correct answer is D. None of the above.
To solve this problem, we can apply Bayes' theorem to calculate the updated probabilities after the delivery man looks in box 1 and does not find the letter.
Let's denote the events:
A: The letter is in box 1
B: The letter is in box 2
C: The letter is in box 3
We are given the following probabilities:
P(A) = 0.9
P(B) = 0.8
P(C) = 0.7
We want to find the updated probability that the letter is in each box after the delivery man looks in box 1 and does not find the letter. Let's denote these updated probabilities as P(A|~1), P(B|~1), and P(C|~1), where "~1" represents the event of not finding the letter in box 1.
By Bayes' theorem, we can calculate these probabilities as follows:
P(A|~1) = P(A) * P(~1|A) / P(~1)
P(B|~1) = P(B) * P(~1|B) / P(~1)
P(C|~1) = P(C) * P(~1|C) / P(~1)
We know that P(~1|A) = 1, as if the letter is in box 1, the delivery man will definitely not find it in box 1.
Now, let's calculate P(~1|B) and P(~1|C):
P(~1|B) = probability of not finding the letter in box 1 if it is in box B
= 1 - probability of finding the letter in box 1 if it is in box B
= 1 - 0.8 = 0.2
P(~1|C) = probability of not finding the letter in box 1 if it is in box C
= 1 - probability of finding the letter in box 1 if it is in box C
= 1 - 0.7
= 0.3
Now, let's calculate P(~1), the probability of not finding the letter in box 1:
P(~1) = P(~1|A) * P(A) + P(~1|B) * P(B) + P(~1|C) * P(C)
= 1 * 0.9 + 0.2 * 0.8 + 0.3 * 0.7
= 0.9 + 0.16 + 0.21
= 1.27
Finally, we can calculate the updated probabilities:
P(A|~1) = P(A) * P(~1|A) / P(~1)
= 0.9 * 1 / 1.27
≈ 0.709
P(B|~1) = P(B) * P(~1|B) / P(~1)
= 0.8 * 0.2 / 1.27
≈ 0.126
P(C|~1) = P(C) * P(~1|C) / P(~1)
= 0.7 * 0.3 / 1.27
≈ 0.165
Now, let's analyze the statements:
A. The probability that the letter is in box 1 is less than 5%.
P(A|~1) ≈ 0.709, which is greater than 5%. Therefore, statement A is incorrect.
B. The probability that the letter is in box 2 is greater than 50%
P(B|~1) ≈ 0.126, which is less than 50%. Therefore, statement B is incorrect.
C. The probability that the letter is in box 3 is greater than or equal to 50%.
P(C|~1) ≈ 0.165, which is less than 50%. Therefore, statement C is incorrect.
D. None of the above.
Since statements A, B, and C are all incorrect, the correct answer is D. None of the above.
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One professional basketball player typically attempts eight free throws per game. Let X represent the number of free
throws made out of eight. The distribution for X is shown in the table.
Number of Free
Throws Made
Probability
0
1
0.002 0.008
Mark this and return
2
3
0.04 0.12
4
0.23
Which of the following is the correct interpretation of P(X ≤ 3)?
O The probability of the number of free throws made out of 8 is at most 3.
O The probability of the number of free throws made out of 8 is at least 3.
O The probability of the number of free throws made out of 8 is lower than 3.
O The probability of the number of free throws made out of 8 is higher than 3.
5
0.28
Save and Exit
6
0.21
Next
7
0.09
8
0.02
Submit
The interpretation of P(X ≤ 3) is "The probability of the number of free throws made out of 8 is at most 3". Option A is the correct option.
What is probability?
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Given table is
Number of Free Throws made Probability
0 0.002
1 0.008
2 0.04
3 0.12
4 0.23
5 0.28
6 0.21
7 0.09
8 0.02
The number of free throws is 9.
The mathematical representation of "The probability of the number of free throws made out of 8 is at most 3" is P(X ≤ 3).
The mathematical representation of "The probability of the number of free throws made out of 8 is at least 3." is P(X ≥ 3).
The mathematical representation of "The probability of the number of free throws made out of 8 is lower than 3." is P(X < 3).
The mathematical representation of "The probability of the number of free throws made out of 8 is higher than 3." is P(X> 3).
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Need help with this problem please
Answer:
-16
4
9
19
29
Step-by-step explanation:
Whenever one of these questions comes up, just plug in whatever number is in the x column into the x in the problem above. Ex) for 3, you would want to turn 5x+4 into 5(3)+4, which is 19.
A rectangle has the area of 60 inch2. What can be its dimensions? Copy and fill in the chart.
A rectangle contains the area of 60 inch² then the dimension is as follows:
length × width
60 × 1
30 × 2
20 × 3
15 × 4
12 × 5
10 × 6
How to find the dimension of the rectangle?The square inch unit provides the area. Given that the length and width of a rectangle are multiplied to determine its area, we can state that any pair of non-negative integers whose product is equal to 60 would be appropriate.
Area = length × Width
We can find those integer numbers for its dimensions:
(60 divisors)
width × length
60 × 1
30 × 2
20 × 3
15 × 4
12 × 5
10 × 6
length × width
60 × 1
30 × 2
20 × 3
15 × 4
12 × 5
10 × 6
And many other combinations for non integers like 40 × 1.5, 24 × 2.5 etc.
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Alicia had (-$11.00) in her checking account. She did a few chores and made $44.50, which she added to her checking account. She then decided to go to the movies with a friend and decided to pay for both of their tickets. If each ticket costs $6.25, how much will she have left in her account?
Answer:
$21.00
Step-by-step explanation:
First, let's find the total amount of money Alicia had in her checking account after she made $44.50:
(-11.00) + 44.50 = 33.50
Next, let's find the total cost of the movie tickets by multiplying the cost of one ticket by the number of tickets Alicia bought:
6.25 * 2 = 12.50
Finally, let's subtract the cost of the movie tickets from the amount of money Alicia had in her account to find how much she will have left:
33.50 - 12.50 = 21.00
Thus, Alicia will have $21.00 left in her account after paying for the movie tickets.
Tell me if this helped :)
15 points and brainliest for the answer
the triangles below are similar
which statement about the triangles is true?
F. the corresponding angles are congruent, and the corresponding sides are proportional
G. the corresponding angles are congruent, and the corresponding sides are congruent
H. the corresponding angles are proportional, and the corresponding sides are proportional
J. the corresponding angles are proportional, and the corresponding sides are congruent
Answer:
I believe the answer is J. the corresponding angles are proportional, and the corresponding sides are congruent
Step-by-step explanation:
hope this helps :)
If the triangles below are similar the corresponding angles are proportional, and the corresponding sides are congruent. Option J is correct,
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
Thus, if the triangles below are similar the corresponding angles are proportional, and the corresponding sides are congruent. Option J is correct.
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Working alone, Aliyah can pick forty bushels of apples in 14 hours. One day her friend Alberto helped her and it only took 5.48 hours. How long would it take Alberto to do it alone?
It would take Alberto 5.48 hours to pick 40 bushels of apples alone.This is because he has the same amount of time as when he and Aliyah worked together,
If Aliyah and Alberto together took 5.48 hours to pick 40 bushels of apples, then Alberto alone should be able to pick 40 bushels in the same amount of time. Since Aliyah alone took 14 hours to pick 40 bushels, Alberto should be able to pick 40 bushels in a much shorter amount of time. If Alberto works alone, it would take him 5.48 hours to pick 40 bushels of apples. This is because he has the same amount of time as when he and Aliyah worked together and this is how long it took them to pick 40 bushels. Therefore, it would take Alberto 5.48 hours to pick 40 bushels of apples worked together and this is how long it took them to pick 40 bushels. Therefore, it would take Alberto 5.48 hours to pick 40 bushels of apples.
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Find the product. Equation is below.
Answer:
12x^3 + 19x^2 + x - 5
Step-by-step explanation:
To solve this, I set up the problem like this:
(3x^2 + x - 1)(4x + 5)
Now, just distribute everything from the first set of ( ) to the second set of ( ). Here's what you should have when you do that:
12x^3 + 15x^2 + 4x^2 + 5x - 4x - 5
Now, you would just combine like terms, which would get you to the final answer.
Hope this helps!
12x³ + 19x² + x -5
Step-by-step explanation:Polynomials are expressions that have multiple terms.
Breaking Apart Polynomials
When multiplying by a polynomial, we can break apart one of the polynomials, and multiply by each term individually. This means to multiply 3x² + x - 1 by 4x + 5, we can break apart the binomial into its separate terms. Instead of trying to multiply everything at once, we can multiply the trinomial by 4x and then multiply the trinomial by 5. Finally, add together the 2 products for the final answer.
Multiplying Polynomials
First, let's multiply the trinomial by 4x.
4x(3x² + x - 1)To find the product, multiply each term of the trinomial by 4x, then add them back together.
4x * 3x² = 12x³4x * x = 4x²4x * -1 = -4xSo, the first product is 12x³ + 4x²- 4x. Next, let's multiply 5(3x² + x - 1) the same way.
5 * 3x² = 15x²5 * x = 5x5 * -1 = -5This means that the second product is 15x² + 5x - 5. Finally, let's add the 2 products together.
(12x³ + 4x²- 4x) + (15x² + 5x - 5)Then, simplify the expression.
12x³ + 19x² + x - 5This gives us our final answer. The product of 3x² + x - 1 and 4x + 5 is 12x³ + 19x² + x - 5.
If A:B = 5:9 and B:C = 3:7, find A:B:C.
Answer:
15:27:63
Step-by-step explanation:
solve by multiplying the ratio by the opposing number.
a b b c
5 9 3 7
multiply 5 x 3 = 15
multiply 9 x 3 = 27
mutliply 9 x 7 = 63
PLZ HELP I DONT UNDERSTAND (show steps)
Answer:
a= −b/x
Step-by-step explanation:
Let's solve for a.
ax2+bx=0
Step 1: Add -bx to both sides.
ax2+bx+−bx=0+−bx
ax2=−bx
Step 2: Divide both sides by x^2.
ax2x2=−bxx2
a=−bx
Answer:
Step-by-step explanation:
perfect sqaure formula (u+w)²=u²+2uw+w²
ax²+bx+c=0 divide by a
\(x^{2} +\frac{bx}{a} + \frac{c}{a} =0\) so u=1, 2uw=2*1*w= b/a, so w=b/2a
\((x^{2}+ \frac{bx}{a} +\frac{b^{2} }{4a^{2} } ) +\frac{c}{a} -\frac{b^{2} }{4a^{2} }=0\) now that we formed the perfect sqare solve
\((x +\frac{b}{2a} )^{2} +\frac{c*4*a-b^{2} }{4a^{2} } =0\) but we can factor a negative in front of the fraction
\((x+\frac{b}{2a} )^{2} -\frac{b^{2} -4ac }{4a^{2} } =0\) now isolate the 2 terms and squareroot both sides
\(\sqrt{ (x +\frac{b}{2a} )^{2}} =\sqrt{ \frac{b^{2} -4ac }{4a^{2} } }\) and you will be left with
\(x +\frac{b}{2a} =\ + - \frac {\sqrt{ b^{2} -4ac} }{2a }\) subtract b/2a from both sides
x= \(\frac{-b+ - \sqrt{b^{2}-4ac } }{2a}\)
y = 1/2x + 11
Slope =
y-Int =
Cavenger of 92 miles in 2 2/3 hours if he drove a constant rate how far did he travel in one hour enter your answer as a whole number proper fraction or mixed number in simplest form
Answer:
34 1/2 miles
Step-by-step explanation:
92 miles = 2 2/3 hours
x miles = 1 hour
92 ÷ 2 2/3 = 34.5
34.5 x 1 = 34.5
34.5 miles = 1 hour
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What number makes the equation true?