\( - 9 {x}^{2} + 3x = 0 \)
\(3x( - 3x + 1) = 0\)
\(3 x = 0 \\ x = 0\)
And
\( - 3x + 1 = 0 \\ - 3x = - 1 \\ x = \frac{ - 1}{ - 3} \\ x = \frac{1}{3} \)
So the x-intercepts are :
\(x = 0 \: \: \: \: \: and \: \: \: \: \: x = \frac{1}{3} \\ \)
You are facing north. You turn 45 degrees to your left. Take two steps forward. Turn 180 degrees. Turn 45 degrees to your right. Take one step back. Turn 90 degrees to your right. Which one of these statements is true?* You are facing the same direction you started. You are facing east. You are facing south. You are standing on the same spot you started out on. You are facing west.
Answer: Northeast - unless you are at the South Pole, in which case you are still facing North.
Step-by-step explanation
Sequence:
Facing North
90 degrees left = facing West
180 degrees right = facing East
reverse = facing West
45 degrees left = facing Southwest
reverse = facing Northeast
Find the quotient. 1 3 4- = 1 2 4 1. 3 4 = 1 2 4 h (Type a whole number, fraction, or mixed number.) 42 +13=0
2 4/7
1) Let's turn those mixed numbers into improper fractions, to make our calculations easier:
\(\begin{gathered} 4\frac{1}{2}=\frac{2\times4+1}{2}=\frac{9}{2} \\ 1\frac{3}{4}=\frac{4\times1+3}{4}=\frac{7}{4} \\ \end{gathered}\)2) Now let's divide those improper fractions, reciprocating the second one and multiplying it by the first one:
\(\frac{9}{2}\colon\frac{7}{4}=\frac{9}{2}\times\frac{4}{7}=\frac{36}{14}=\frac{18}{7}\)3) Hence, we can write that the quotient of that division 4 1/2 by 1 3/4 is equal to 18/7. To turn it into a Mixed Number let's divide 18/7 and write our Mixed Number equivalent to 18/7:
1.Suppose that G is a weighted graph and S is a subgraph of G. What is the total weight of S? 2. Determine whether the following is true or false: If G is a weighted Hamiltonian graph, then the Nearest Neighbour algorithm is guar- anteed to find a shortest Hamilton circuit in G. 3. Describe the input and the output of Kruskal's Algorithm?
The total weight of a subgraph S in a weighted graph G is the sum of the weights of all the rims within S.
False. The Nearest Neighbour set of rules won't find the shortest Hamilton circuit in a weighted Hamiltonian graph.
Input: Connected, undirected graph G with edge weights. Output: Minimum spanning tree, a subset of G with minimal general weight.
To decide the overall weight of subgraph S in a weighted graph G, you need to sum up the weights of all the edges that belong to S. Each area inside graph G has a weight associated with it, and the full weight of S is the sum of the weights of its edges.
The declaration "If G is a weighted Hamiltonian graph, then the Nearest Neighbour algorithm is guaranteed to find a shortest Hamilton circuit in G" is fake. The Nearest Neighbour set of rules is a heuristic set of rules that starts at a given vertex and iteratively selects the closest unvisited vertex until all vertices are visited.
While this set of rules can find a Hamiltonian circuit in a graph, it does no longer assure that the circuit observed may be the shortest. It can result in a suboptimal solution, particularly for sure types of graphs or unique times.
Kruskal's set of rules is used to find a minimal spanning tree in a weighted graph. The input to Kruskal's set of rules is a connected, undirected graph G with part weights. The set of rules treats each vertex as a separate aspect and iteratively selects the rims with the minimal weight whilst avoiding cycles.
The output of Kruskal's set of rules is a minimal spanning tree, which is a subset of the original graph G that includes all of the vertices and forms a tree with the minimum general weight amongst all feasible spanning trees of G.
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What is the image of (5,-5)(5,−5) after a dilation by a scale factor of 33 centered at the origin?
Answer:The point (5,0) dilated by a scale factor of 3 centered at the origin.
To find:
The coordinates of image.
Solution:
If a figure dilated by a scale factor of k centered at the origin, then the rule of transformation is
The point is dilated by a scale factor of 3 centered at the origin, then the rule of transformation is
The given point is (5,0). Putting x=5 and y=0, we get
Therefore, the image of (5,0) is (15,0).
Step-by-step explanation:
What is the probability of rolling a die 2 times and then rolling 2 odd numbers in a row
The probability of rolling a die 2 times and then rolling 2 odd numbers in a row is 1/4
How to determine the probabilityWhen rolling a fair six-sided die, each outcome has an equal chance of happening, so the probability of rolling an odd number is 1/2 i.e. 3 out of 6
The probability of rolling two odd numbers in a row is then
(1/2) * (1/2) = 1/4.
This means that, the probability of rolling a die two times and then rolling 2 odd numbers in a row is 1/4
Therefore, the probability of rolling a die 2 times and then rolling 2 odd numbers in a row is 1/4
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i choose a random integer n between $1 and $10 inclusive what is the probability that for the n i chose there exist no real solutions to the equation x x 5 n express your answer as a common fraction
The probability that for a randomly chosen integer n between 1 and 10 inclusive there exist no real solutions to the equation x^2 + 5 = n is 3/10.
we can first find the values of n for which there are real solutions to the equation x^2 + 5 = n. We can do this by rearranging the equation to get x^2 = n - 5 and then seeing that there are real solutions only if n - 5 is non-negative, i.e. n >= 5.
Since we are choosing a random integer between 1 and 10 inclusive, there are 10 possible values for n. Out of these, only 5, 6, 7, 8, 9, and 10 are greater than or equal to 5, which means that there are real solutions to the equation for these values of n. Therefore, there are only 6 possible values of n for which there exist no real solutions to the equation.
Therefore, the probability of choosing one of these 6 values of n is 6/10, which simplifies to 3/5. However, we need to find the probability of choosing one of the values of n for which there exist no real solutions to the equation, which is the complement of the probability of choosing one of the values of n for which there are real solutions. This complement is 1 - 6/10, which simplifies to 2/5.
Therefore, the main answer to the question is that the probability that for a randomly chosen integer n between 1 and 10 inclusive there exist no real solutions to the equation x^2 + 5 = n is 2/5.
The probability that for a randomly chosen integer n between 1 and 10 inclusive there exist no real solutions to the equation x^2 + 5 = n is 2/5. This can be found by first determining the values of n for which there are real solutions to the equation, and then finding the complement of this probability.
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2 + 4/5 simplify form
Here we will deal with fractions and basic mathematical operations and simplify the result.
We are given the following algebraic expression for simplification as follows:
\(2\text{ + }\frac{4}{5}\)We will first go ahead and express both numbers in fractions for better understanding as follows:
\(\frac{2}{1}\text{ + }\frac{4}{5}\)We see that their are two fractions with different numerical denominators. To perform the algebraic operation of addition we need the denominators to be equal.
To transform the denominators to an equivalent number we will find the LCM of the two denominators as follows:
\(\begin{gathered} \text{LCM: 1 and 5} \\ \text{\textcolor{#FF7968}{LCM = 5}} \end{gathered}\)We see that the LCM of the denominators turns out to be 5. We will go ahead and multiply both the numerator and denominator of the first fraction so that the fraction actually remains unchanged as follows:
\(\begin{gathered} \frac{2}{1}\cdot\frac{5}{5}\text{ + }\frac{4}{5} \\ \\ \textcolor{#FF7968}{\frac{10}{5}}\text{\textcolor{#FF7968}{ + }}\textcolor{#FF7968}{\frac{4}{5}} \end{gathered}\)Now we see that the denominators are equated. Now we can simply add the numerators and arrive at the result:
\(\begin{gathered} \frac{10+4}{5} \\ \\ \textcolor{#FF7968}{\frac{14}{5}} \end{gathered}\)Now we will check whether the result can be simplified further or not. We see that numerator nor the denominator are multiples for one another. I.e 14 does not come in the table 5. Hence, there is no number with which we can divide both numerator or the denominator; hence, the simplfied result to the operation is as follows:
\(\textcolor{#FF7968}{\frac{14}{5}}\)
help me me pl i do not under stand
Answer:
1/3 plus 5\6 si equal to 7\6
Step-by-step explanation:
1\3 X 2 is equal to 2\6 add it to 5\6 it will equal 7\6
Answer:
the correct answer is 2/6+5/6=7/6.
Step-by-step explanation:
hope this helps!
Olivia is a stockbroker. She makes 4% of her sales in commission. Last week, she sold $7,200 worth of stocks.
a. How much commission did she make last week?
b. If she were to average the same commission each week, how much would she make in commission in a year, treating a year as having exactly 52 weeks.
Answer:
i think a is 6912:)
i thin b is 359424:)
Step-by-step explanation:
i'm so sorry if it's wrong <3
The answers for the given problem are as (a) the commission made by Olivia in a week is $288 and (b) the total commission for a year is $14976.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
And to convert a fraction or a decimal into percentage, they are multiplied by 100.
Given that,
The price of stocks sold = $7200.
The commission percentage = 4%.
(a) The commission made by Olivia per week is found as,
4% of 7200
= 4/100 × 7200
= 288
(b) Considering 52 weeks in a year, the commission made by her in a week is given as,
52 × 288
= 14976
Hence, the commision made by her in a week is $288 and the total commission for a year is $14976.
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Kate wants to buy a shirt that regularly cost $30. It is on sale for 20% off. After the discount she has to pay a 6% sales tax.
What is the final price of the shirt.
Answer:
25.44$
Step-by-step explanation:
20% of $30 = 6 $
Cost = 24$
Tax = 1.44$
Total cost = 25.44$
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
The final price of shirt is $25.44
30×.20= 6
30-6=24
24×0.06=1.44
24+1.44= 25.44
Suppose the supply and demand equations for a product are given by: p²+4q = 253 183 p² + 6q0 - Find the equilibrium point, and enter it as a point. Equilibrium Quantity: q = Equilibrium Price: p =
The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).
To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.
Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.
Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.
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Which expressions are equivalent to 4(x - 1)?
Select all that apply.
4x - 3
0 4x - 1
4X-4
4 + x - 1
2x - 4 + 2x
O x
X-X + 2x + 4
Answer:
the exprrssions are equivalent to 4( x-1)
If x and y are in direct proportion and y is 42 when x is 6, find y when c is 11
When x and y are in direct proportion, the value of y when the value of x is 11 is 77.
What is meant by direct proportion?
The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. Sometimes, we notice that changes in one quantity's value are similar to changes in another quantity's value, meaning that when one quantity's value rises, the other quantity's value rises in the same proportion and vice versa. Two quantities are said to exist in direct proportion when such circumstances occur. According to the direct proportion formula, if y is directly proportional to x, we can state that y = kx, where k is a constant.
When x and y are in direct proportion, we can write,
x/y = c
where c is a constant.
Now it is given that y = 42 , when x = 6
then c = x/y = 6/42 = 1/7
We are asked to find the value of y when x = 11.
The c remains constant.
so 11/y = 1/7
y = 11*7 = 77
Therefore when x and y are in direct proportion, the value of y when the value of x is 11 is 77.
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Please help will give brainliest!!!!
Answer:
answer is c
Step-by-step explanation:
if u add it all up you get answer
What should be added to -211 to get 195?
Let the no. added be x
= -211 + x = 195
= x = 195 + 211
= x = 406
The number should be added is 406..
5-4x = y Given x = 3
PLEASE I AM IN DESPERATE NEED OF HELP
Anna is planting in her garden the package says she needs to use 4 punds od fertilizer for 120 sqft the area of annas yard is 180 how much fertilizer is needed for the 180 sqft garden
Answer:
6 pounds
Step-by-step explanation:
The area of Anna's garden = 180 square feet
From the question, we know that:
120 square ft = 4 pounds of fertilizer
180 square ft = y
Cross Multiply
120 × y = 4 × 180
y = 4 × 180/120
y = 720/120
y = 6 pounds
Therefore, the amount of fertilizer that is needed for Anna's 180 square feet garden is 6 pounds.
1. If Claire had $54 in her bank account and she deposited $128, how
much would she have in her account?
Answer:
$182
Step-by-step explanation:
$54 + $128 = $182.
Hope that helps!
Answer:look at the answer down⬇️ It’s right :)
Step-by-step explanation:
Find the value of x in the figure below.
A. 25
B. 35
C. 45
D. 65
Answer:x=45
Step-by-step explanation:
Mark worked 7.5 hours last Saturday at his part-time job. if make earns $7.80 per hour, how much did he earn on Saturday?
Answer:
not enough to support Mark's growing family.
Step-by-step explanation:
if minimum wage is about 8 dollars, and is only enough to support one person comfortably, then the hourly wage of 7.80 would not be enough to support his twin girls, their older brother, and Mark's new baby. especially if he only works 7.5 hour shifts. lets say mark works five days a week; monday, tuesday, thursday, friday, and saturday. if he works 7.5 hours a day, at 7.80 an hour, that is approximately 292.50 dollars a week. and if he works that for a whole year, he will only be making 15,210 dollars a year, which is way under the 68,703 average yearly wage in the US.
Which expression is equivalent to the given polynomial expression?
(-40²-58) + (-20d - ² + ²) + (-8² + 6ad)
A. -50² +22² +8ad + 30
B. -Sa+ tad + S
OC-S0² +22² + Sad + 58
D. -5a² + tad - S
The expression equivalent to the given polynomial expression (-40²-58) + (-20d - ² + ²) + (-8² + 6ad) is option B. -Sa+ tad + SOC-S0² +22² + Sad + 58.
To see why, let's break down the original expression step by step and compare it to option B:
Original expression: (-40²-58) + (-20d - ² + ²) + (-8² + 6ad)
Simplify the terms within each grouping:
-40² = 1600
-20d = -20d
-² = -²
² = ²
-8² = -64
6ad = 6ad
Combine the simplified terms:
1600 + (-58) + (-20d) + (-²) + (²) + (-64) + (6ad)
Now, let's compare it to option B: -Sa+ tad + SOC-S0² +22² + Sad + 58.
If we assign the following correspondences:
-1600 = -Sa
-58 = tad
-20d = SOC
-² = -S0²
² = 22²
-64 = Sad
6ad = 58
We can see that all the terms in the original expression match the terms in option B, with the signs and variables appropriately assigned. Therefore, option B, -Sa+ tad + SOC-S0² +22² + Sad + 58, is the expression equivalent to the given polynomial expression. Therefore, Option B is correct.
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Find the length
*Will give brainlist
*Comment if i didn't describe enough
*STEP BY STEP
how many solutions are there to the given equation if x1 ≥ 1, x2 ≥ 2, x3 ≥ 3, x4 ≥ 4, x5 ≥ 5, and x6 ≥ 6?
There are 28 nonnegative integer solutions to the equation x1+x2+x3+x4+x5+x6 = 29, given the constraints x1 ≥ 1, x2 ≥ 2, x3 ≥ 3, x4 ≥ 4, x5 ≥ 5, and x6 ≥ 6.
1. To make the problem easier, we can first subtract the minimum value of each variable from both sides of the equation:
x1' = x1 - 1, x2' = x2 - 2, x3' = x3 - 3, x4' = x4 - 4, x5' = x5 - 5, x6' = x6 - 6.
2. Then, the equation becomes:
x1' + x2' + x3' + x4' + x5' + x6' = 29 - (1 + 2 + 3 + 4 + 5 + 6) = 29 - 21 = 8.
Now we need to find nonnegative integer solutions to this new equation.
3. We can use the stars and bars technique. Since there are six variables (x1', x2', x3', x4', x5', and x6'), we have five dividers to separate the stars (representing the numbers). We need to distribute 8 stars among 6 variables.
4. We can consider placing 8 stars and 5 dividers in a row. There are (8 + 5) = 13 positions, and we can choose 5 of them for the dividers. So, the total number of ways to distribute the 8 stars among the 6 variables is:
C(13, 5) = 13! / (5! * 8!) = 1287.
5. Since x1' = x1 - 1, x2' = x2 - 2, x3' = x3 - 3, x4' = x4 - 4, x5' = x5 - 5, and x6' = x6 - 6, we have:
x1 = x1' + 1, x2 = x2' + 2, x3 = x3' + 3, x4 = x4' + 4, x5 = x5' + 5, and x6 = x6' + 6.
6. Given the initial constraints, there is a one-to-one correspondence between the solutions of the original equation and the transformed equation. Therefore, there are 1287 - 1259 = 28 nonnegative integer solutions to the original equation.
Note: The question is incomplete. The complete question probably is: How many nonnegative integer solutions are there to the equation x1+x2+x3+x4+x5+x6 = 29, if x1 ≥ 1, x2 ≥ 2, x3 ≥ 3, x4 ≥ 4, x5 ≥ 5, and x6 ≥ 6?
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given a multi-value attribute with a variable number of values, for which we need to process independently the values, it is recommended to consider a new dependent entiy to represent the values
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.
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Solve.....Whatever this means XD
Answer:
x = -1
Step-by-step explanation:
Let me know in the comments if you need an explanation I tried to get it to you as quick as possible :)
Plus it looks in the picture like you only need the answer and you don't need work. :)
Does the function f of x equals 3 times the quantity 1 over 2 end quantity to the x power represent growth or decay? what is the y-intercept of f(x)?
We have the following for the exponential function f(x) = 3(0.5)x, Exponential decay is represented by the function, Point provides the function's y-intercept (0,3).
A exponential function is defined by what?The mathematical formula f (x) = a x denotes an exponential function. a constant known as the function's base and a variable called x are present. The transcendental number e, roughly equivalent to 2.71828, is the most frequent exponential-function base.
Where the following parameters are described:
Since a represents the function's starting value, the y-intercept equals (0,3).
The function's rate of change, or b, determines whether it reflects exponential growth (r > 1) or exponential decay (r 1).
The exponential function's rule for this issue is provided by:.
\(y = 3(0.5)^x.\)
Consequently, the parameters are:
a = 3, b = 0.5.
Then: Given that |b| = 0.5 1, the function illustrates exponential decay.
Point (0,3) serves as the function's y-intercept since the value of the coefficient an is equal to 3.
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PLEASE HURRYYYY‼️‼️ need help
A part of a line that starts at one endpoint and extends forever in one direction is a(n)
A. angle
B.point
C.line
D.ray
Answer:
\(\fbox {D. ray}\)
Step-by-step explanation:
A part of a line that starts at one endpoint and extends forever in one direction is a ray.
Answer: D. Ray
Step-by-step explanation:
Let's do the process of elimination.
It's not A because there is only one line.
It is not B because a point is only a dot.
It is not C because a line extends forever from BOTH ends.
The correct answer is D because a ray starts on one endpoint and extends forever in one direction.
I hope this helps!! Pls mark brainliest!! :)
Calcula el valor de la hipotenusa de un triangulo rectangulo de catetes 32 y 24
De acuerdo con la información, podemos inferir que el valor de la hipotenusa es 40.
¿Cómo calcular el valor de la hipotenusa?Para calcular el valor de la hipotenusa de este triángulo debemos utilizar el Teorema de Pitágoras. Entonces, debemos aplicar esta fórmula:
a² + b² = c²En este caso, el valor de a sería 32, el valor de b sería 24. Una vez remplazamos los valores debemos solucionar la fórmula para hallar el valor de c (hipotenusa):
32² + 24² = c²c = 40Entonces podemos inferir que 40 es el valor de la hipotenusa de este triángulo.
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