Rewrite the equation 4x^2 - 3x + 9 = 2x+1 in Standard form pls
Answers
pretty sure
Answer:
\(4x^2-5x+8=0\)
Step-by-step explanation:
\(4x^2-3x+9=2x+1\)
We need to get the equation in standard form:
\(ax^2+bx+c=0\)
Subtract \(2x\) from both sides of the equation:
\(4x^2-5x+9=1\)
Subtract \(1\) from both sides of the equation:
\(4x^2-5x+8=0\)
Related Questions
when can a correlation coefficient based on an observational study be used to support a claim of cause and​ effect?
Answers
Correlation coefficients based on observational studies can provide useful information about the strength and direction of the relationship between two variables.
This is due to the fact that correlation does not always imply causation. Even if two variables are highly linked, this does not imply that changes in one cause changes in the other. Other factors may be responsible for the observed association, and these factors may be confounding variables that were not taken into account in the analysis.
A well-designed experimental study that allows for manipulation of one variable and observation of the effect on the other variable while controlling for confounding variables is required to establish a causal relationship between two variables. Such tests are intended to show cause-and-effect linkages by demonstrating temporal precedence and excluding alternate explanations for the observed relationship.
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Create two groups of cards with the SAME SUM using as many cards as possible using the numbers 1 -4 -2 2 8 5
Answers
Group 1: [1, 4, 5, 8] (sum=18)
Group 2: [-2, -2, 2, 2] (sum=0)
Another possible solution:
Group 1: [1, 4, 2, 5, 2] (sum=14)
Group 2: [-2, -2, 8] (sum=6)
What is the perimeter of the polygon
Answers
Answer:
32
Step-by-step explanation:
You add 9 + 13, which is 22
Add 4 + 6 to get 10
22 + 10 = 32
Perimeter of the given polygon is equals to 64cm.
What is perimeter?
"Perimeter is defined as the total distance around the given shape."
Theorem used
Tangents drawn from a exterior point of a circle have equal length.
According to the question,
As shown in the diagram,
P, Q, R, and S are exterior points of a circle through which tangents are drawn.
Given,
Length of tangent PA = 13cm
Length of tangent SA= 9cm
Length of tangent RC = 4cm
Length of tangent QC =6cm
As per stated theorem we get,
Length of tangent PB = 13cm
Length of tangent SD 9cm
Length of tangent RD = 4cm
Length of tangent QB =6cm
Perimeter of a given polygon = 13 +13 +9+9+4+4+6+6
= 64cm
Hence, perimeter of the given polygon is equals to 64cm.
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3x+5−2x+4x pls helppppppppp :)
Answers
Answer:
5x+5
Step-by-step explanation:
Line segment RS has endpoints R(5,7) and s(-1,-2).
What are the coordinates of the midpoint of RS?
Answers
Answer:
Midpoint = (2,2.5)
Step-by-step explanation:
Line segment RS has endpoints R(5,7) and S(-1,-2)Midpoint = \((\frac{5 + -1}{2} , \frac{7 + -2}{2} ) = (2,2.5)\)
k-means culstering is the process of: agglomerating observations into a series of nested groups based on a measure of similarity. organizing observations into one of a number of groups based on a measure of similarity. reducing the number of variables to consider in a data-mining approach. estimating the value of a continuous outcome variable.
Answers
K-means clustering is the process of organizing observations into one of a number of groups based on a measure of similarity. It is a type of unsupervised learning algorithm that sorts data points into groups, called clusters, based on their similarity to one another. This technique is commonly used in pattern recognition, image analysis, and data mining.
K-means clustering begins by randomly assigning each data point to one of k clusters. Then, the algorithm iteratively moves each data point to the cluster whose mean is closest to it. The process continues until there are no more changes in cluster membership or some other stopping criterion is met.
K-means clustering is not used to agglomerate observations into a series of nested groups based on a measure of similarity, nor is it used to estimate the value of a continuous outcome variable. It also does not reduce the number of variables to consider in a data-mining approach. Rather, it is a technique for clustering data points based on their similarity to one another.
In conclusion, K-means clustering is the process of organizing observations into one of a number of groups based on a measure of similarity. The algorithm sorts data points into groups called clusters based on their similarity to one another.
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PLEASE HELP!! Will mark Brainliest!
This unit is about polynomial and rational functions. What is a polynomial? What is a rational function? Are all polynomials rational functions, why or why not?
Answers
Answer:
What is a polynomial?
- In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables
What is a rational function?
- In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.
Are all polynomials rational functions?
.A function that cannot be written in the form of a polynomial, so no they are not all functions.
the given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.
Answers
The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.
The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.
The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.
By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.
Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.
Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.
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Question
The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.
Refer to the porch stairs shown. Line mis parallel to line n and mis 35. And the measure of Justify your answer >> Bell 5
Answers
When you have two parallel lines (lines m and n) crossed by a transversal (porch stain) the angles 7 and 8 sum 180º and angles 1 and 8 are alternate exterior angles (have the same measure)
Then to find the measure of angle 1:
1. Find the measure of angle 8:
\(\begin{gathered} m\angle8=180º-m\angle7 \\ m\angle8=180º-35º=145º \end{gathered}\)2. Alternate exterior angles have the same measure:
\(\begin{gathered} m\angle8=m\angle1 \\ \\ m\angle1=145º \end{gathered}\)Then, angle 1 is 145ºThe equation y = 0.5x describes a proportional relationship and is shown in the graph. graph of a line beginning at point 0 comma 0 and going through 9 comma 3 Which of the following statements is true about the graph shown?
Answers
The points, shown on the line would be part of y = 0.5x.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Looking at the graph, the line goes through (0, 0).
If x=0, we have;
y=0.5(0)=0.
This is y-coordinate of the point, so it goes through this.
The equation for the given line is in the slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.
In this equation, m = 0.5 and b = 0. which means the slope is 0.5 or 1/2;
Since the slope is rise/run, this means the line rises 1 for every horizontal increase of 2.
This means starting from (0, 0), we would go up one and over two, creating the point (2, 1).
Next, we would go up one and over 2 again, to (4, 2). Again, the line goes through this point.
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Which coordinate pair identifies a point in the third quadrant of the coordinate plane? A) (0, 5) B) (1, −5) C) (1, 5) D) (−1, −2)
(IF YOU USE THIS QUESTION FOR POINTS I WILL REPORT YOU)
(NVM IT'S (-1,-2)
Answers
Answer:
Me need my points :D
Step-by-step explanation:
Factor completely:
4a^2+8a-140
Answers
Answer:
24a-140 is the correct answer
Step-by-step explanation:
4a²+8a-140
4a×4a=16a+8a-140
24a-140
Which is the graph of x2/9-y2/4=1
Answers
Answer:
Step-by-step explanation:
The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answers
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:
Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and put the same amount of water in each cup. Find and graph the number of ounces of water, x, that Will could have put in each cup.
Answers
According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.
What is the number of ounces of water "x" that Will could have put in each cup?Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.
Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.
Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.
So, Will could have put 8 ounces of water in each cup.
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Consider the following game, where player 1 chooses a strategy U or M or D and player 2 chooses a strategy L or R. 1. Under what conditions on the parameters is U a strictly dominant strategy for player 1 ? 2. Under what conditions will R be a strictly dominant strategy for player 2 ? Under what conditions will L be a strictly dominant strategy for player 2 ? 3. Let a=2,b=3,c=4,x=5,y=5,z=2, and w=3. Does any player have a strictly dominant strategy? Does any player have a strictly dominated strategy? Solve the game by iterated deletion of strictly dominated strategies. A concept related to strictly dominant strategies is that of weakly dominant strategies. A strategy s weakly dominates another strategy t for player i if s gives a weakly higher payoff to i for every possible choice of player j, and in addition, s gives a strictly higher payoff than t for at least one choice of player j. So, one strategy weakly dominates another if it is always at least as good as the dominated strategy, and is sometimes strictly better. Note that there may be choices of j for which i is indifferent between s and t. Similarly to strict dominance, we say that a strategy is weakly dominated if we can find a strategy that weakly dominates it. A strategy is weakly dominant if it weakly dominates all other strategies. 4. In part (3), we solved the game by iterated deletion of strictly dominated strategies. A relevant question is: does the order in which we delete the strategies matter? For strictly dominated strategies, the answer is no. However, if we iteratively delete weakly dominated strategies, the answer may be yes, as the following example shows. In particular, there can be many "reasonable" predictions for outcomes of games according to iterative weak dominance. Let a=3,x=4,b=4,c=5,y=3,z=3,w= 3. (a) Show that M is a weakly dominated strategy for player 1. What strategy weakly dominates it? (b) After deleting M, we are left with a 2×2 game. Show that in this smaller game, strategy R is weakly dominated for player 2 , and delete it. Now, there are only 2 strategy profiles left. What do you predict as the outcome of the game (i.e., strategy profile played in the game)? (c) Return to the original game of part (4), but this time note first that U is a weakly dominated strategy for player 1 . What strategy weakly dominates it? (d) After deleting U, note that L is weakly dominated for player 2 , and so can be deleted. Now what is your predicted outcome for the game (i.e., strategy profile played in the game)?
Answers
The predicted outcome of the game, or the strategy profile played in the game, would then depend on the remaining strategies.
1. A strategy is considered strictly dominant for a player if it always leads to a higher payoff than any other strategy, regardless of the choices made by the other player. In this game, for player 1 to have a strictly dominant strategy, the payoff for strategy U must be strictly higher than the payoffs for strategies M and D, regardless of the choices made by player 2.
2. For player 2 to have a strictly dominant strategy, the payoff for strategy R must be strictly higher than the payoffs for strategies L and any other possible strategy that player 2 can choose.
3. To determine if any player has a strictly dominant strategy, we need to compare the payoffs for each strategy for both players. In this specific example, using the given values (a=2, b=3, c=4, x=5, y=5, z=2, and w=3),
4. The order in which strategies are deleted does matter when using iterative deletion of weakly dominated strategies. In the given example, when we delete the weakly dominated strategy M for player 1, we are left with a 2x2 game.
(c) In the original game of part (4), when we note that U is a weakly dominated strategy for player 1, we can look for a strategy that weakly dominates it. By comparing the payoffs, we can determine the weakly dominant strategy.
(d) After deleting U and noting that L is weakly dominated for player 2, we can delete it as well. The predicted outcome of the game, or the strategy profile played in the game, would then depend on the remaining strategies.
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Help please!!!!!!!!!!!
Answers
Answer: x = 12, ∠B = 45°
Step-by-step explanation:
Angle A and Angle B are alternate exterior angles meaning that they are equal
5x - 15 = 2x + 21
3x - 15 = 21
3x = 36
x = 12
B = 2(12) + 21
B = 24 + 21
B = 45
Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x-1.
Leave your answer in the form ax+by=c
Where a, b and c are integers.
Answers
Answer:
Equation of perpendicular line:
\(\boxed{\quad y=-\dfrac{1}{2}x+\dfrac{7}{2}\quad }\)
Step-by-step explanation:
Generalized lope-intercept form of a line is y = mx + b [1]
where
m = slope
b = y-intercept
Equation of the given line is y = 2x - 1 [2]
We are asked to find the equation of the line perpendicular to this and also passes through (1, 3)
Reciprocal of \(\mbox{\larg \displaystyle 2 = \displaystyle \dfrac{1}{2}}\)
Negative of \(\dfrac{1}{2}\) = \(-\dfrac{1}{2}\) and this is the slope of the perpendicular line
The products of the slopes ⇒ \(2 \times -1/2 = - 1\)
Therefore the equation of the perpendicular line is of the form
\(y = -\dfrac{1}{2}x + b\)
where b is the y-intercept of this line
Since it passes through the point (1, 3), x= 1 and y = 3 is a solution point on this line
Plugging y = 3, x = 1
\(3 = -\dfrac{1}{2} \times 1 + b\\\\3 = -\dfrac{1}{2} + b\\\\3 + \dfrac{1}{2}= b\\\\b = 3 \dfrac{1}{2}= -\dfrac{7}{2}= 3.5\)
lim x approaches infinity (2x-1)(3-x)/(x-1)(x+3) is
Answers
The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.
To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:
\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)
Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:
0 * 0 = 0
Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.
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find teh exact value of sin 2x given that sec x = 3/2 and csc y = 3 and x and y are in quadrant 1
Answers
The exact value of \(sin 2x\) is \(4√5/9.\)
Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.
In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)
Also, we know that sin \(2x = 2 sin x cos x.\)
Now, we need to find sin x.
Having sec x = 3/2, we can use the Pythagorean identity
\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)
As x is in the first quadrant, it lies between 0° and 90°.
Therefore, x cannot be negative.
Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)
Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)
Therefore, the exact value of sin 2x is 4√5/9.
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A car is on sale for £3825. The salesman says this is 15% off the original price. Work out the original price.
Answers
15% off means the sale price is 85% of the original price.
Divide the sale price by the percent of original price:
3825/0.85 = 4,500
answer : £4,500
Answer: The answer is 4,500.
Step-by-step explanation: You can divide 3,825 and 0.85.
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Find the height of a cone with a diameter of 12 m whose volume is 565 m3
Use 3.14 for n and round your answer to the nearest meter.
A. 15 m
B. 47 m
C. 5 m
D. 8 m
Answers
Answer:
15m
Step-by-step explanation:
volume of a cone = 1/3 πr³h
1/3 x 3.14 x (12/2)² x h = 565
37.68h= 565
h= 15m
simplify:
16a^2 ÷ a + 3a × 2
and
8x − 3 + 6x
Answers
Answer:
36a and 2x-3.that is the answer
Lines /1 and /2 are parallel and are cut by a transversal, line /3. Line /4 is perpendicular to /3. A 120° angle is shown in the diagram below. What is the measure of angle x?
A. 30°
B 60°
C 90°
D 120°
Answers
Answer:
30°
Step-by-step explanation:
in the right angle triangle
60°+90°+x=180°
x=30°
the 60° came from the external angle is 120° as it is corresponding angle to the given 120°
what is the slope of the line that passes through (−2, 3) and (5, −6) ?responses −12 negative 1 half −1 negative 1 −97 negative fraction 9 over 7 i don't know.
Answers
Answer:
slope = -9/7 or (negative fraction 9 over 7)
Step-by-step explanation:
what is the slope of the line that passes through (−2, 3) and (5, −6)?
slope = change in y / change in x
slope = (3 - (-6) / (-2 - 5)
slope = 9/-7
slope = -9/7
from your options:
negative fraction 9 over 7
2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
Answers
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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What is 518.1 rounded to the nearest whole number?
Answers
Answer:
518
Step-by-step explanation:
Since you are rounding to the nearest whole number.
518.1 would need to be 518.5 or higher to be 519 so anything below that would just round up the 518
EXPONENTIAL GROWTH/DECAY? Y=400 x .99^x
Answers
Answer:
Exponential Decay
Step-by-step explanation:
temperature does water boil 10:02 am At what if P = 0.04 bar a. 28.96 C b. 35.6 C C. 42.5 C d. 85.94 C e. 81.6 C
Answers
The boiling point of water can be affected by several factors, including pressure. The boiling point of water decreases with decreasing pressure. In this case, the pressure is given as 0.04 bar. At this pressure, water boils at a lower temperature than it would at atmospheric pressure, which is 1 bar.
The correct answer to this question is b. 35.6 C. This is because at a pressure of 0.04 bar, water boils at 35.6 C, which is lower than the standard boiling point of water at atmospheric pressure, which is 100 C.The boiling point of water decreases by about 1 C for every 28.5 millibars (0.0285 bar) of pressure reduction.
So, at a pressure of 0.04 bar, the boiling point of water is about 64 C lower than it would be at atmospheric pressure. Therefore, water boils at 35.6 C at a pressure of 0.04 bar.
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help please 5th grade math
Answers
Answer:
Stanley needs 31 feet and 2 inches of fencing.
Step-by-step explanation:
In order to answer this problem, you need to find the perimeter of the dog run.
Since: \(P=2(l+w)\)
and \(l=149\) inches & \(w=56\) inches
Plug in what we know :
\(P=2(149+56)\)
and solve:
\(P=410\) inches
The dog run has a perimeter of 410 inches.
However, now we need to subtract 36 inches since the gate doesn't need fencing.
\(410-36=374\) inches.
The dog run needs 374 inches of fencing.
In order to find out how many feet of fencing that is, divide it by 12.
\(\frac{374}{12}\) = 31.16666667 OR \(31\frac{2}{12}\), meaning 31 feet and 2 inches.
Answer:
31 feet and 2 inches of fencing :))<3
Step-by-step explanation: