Answer: A.) y=-2/3x-3
Binomial (-2x - 8) and trinomial (-3x2 + 4x + 5) are the factors of which of the following polynomials?
Answer:
5
Step-by-step explanation:
The map of a community shows that a lake is 6 inches away from a library. The scale of the map is 14 inch represents 3.5 meters. How far apart are the actual lake and library?
Solve for x: 3x + 2 < 14 and 2 x-5> -11.
Therefore the value of x is less than 4 when x is in the inequality 3x + 2 < 14 and greater than -3 when x is in the inequality 2 x-5> -11
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.
What is expressions or values?Expressions are carried out, or evaluated, in order to yield a value. In an evaluation process, values of expressions can be employed as components of surrounding expressions.
To solve for x in the inequality 3x + 2 < 14, we can begin by subtracting 2 from both sides to get 3x < 12. Then, dividing both sides by 3 gives x < 4.
To solve for x in the inequality 2 x-5> -11, we can begin by adding 5 to both sides to get 2x> -6, then divide both sides by 2 to get x > -3
So x can be any number greater than -3 and less than 4
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Based on the illustration, what is the relationship between angle 1 and angle 3?
1. They are complementary.
2. They are congruent angles.
3. They are supplementary.
4. They form a right angle.
Answer: 2. They are congruent angles.
Step-by-step explanation:
Angle 1 and angle 3 are vertical angles. In other words, they are "opposite" each other.
Vertical angle pairs are congruent angles, meaning the answer to this question is;
2. They are congruent angles.
Answer: They are congruent angles.
Step-by-step explanation: Complementary means the two angles equal 90°, supplementary angles are next to each other and equal 180° together, and it's obviously not a right angle, (angle that equals 90°) so we know they are congruent angles (this means that they are the same)
hope this helps!
please give brainliest!
Will mark brainiest for CORRECT answer!
ANSWER: y = (1/2)x - 1.
To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.
First, let's find the derivative of the function y = √(x - 3) using the power rule:
dy/dx = 1/(2√(x - 3))
Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:
m = dy/dx = 1/(2√(4 - 3)) = 1/2
So, the slope of the tangent line is 1/2.
Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:
y - y1 = m(x - x1)
Substituting the values (x1, y1) = (4, 1):
y - 1 = (1/2)(x - 4)
Simplifying the equation:
y - 1 = (1/2)x - 2
y = (1/2)x - 1
Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.
Answer:
y = (1/2)x - 1/2
Step-by-step explanation:
Step 1: Find the derivative of the function
The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:
d/dx (x^n) = nx^(n-1)
Applying this rule to our function, we get:
dy/dx = d/dx sqrt(x - 3)
To differentiate the square root function, we can use the chain rule of differentiation which states that:
d/dx f(g(x)) = f'(g(x)) * g'(x)
Applying this rule to our function, we have:
g(x) = x - 3
f(g) = sqrt(g)
So,
dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1
Substituting g(x) = x - 3, we get:
dy/dx = 1/(2*sqrt(x - 3))
So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).
Step 2: Evaluate the derivative at the given point
To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:
dy/dx = 1/(2*sqrt(4 - 3)) = 1/2
So, the slope of the tangent line at the point (4, 1) is 1/2.
Step 3: Use point-slope form to write the equation of the tangent line
Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:
y - y1 = m(x - x1)
where (x1, y1) is the point on the line and m is the slope of the line.
Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:
y - 1 = (1/2)*(x - 4)
Simplifying this equation, we get:
y = (1/2)x - 1/2
So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.
Hope this helps!
which transformations could have occurred to map Δ ABC to Δ A"B"C"
A) a rotation and a dilation
B)a rotation and a reflection
C)a reflection and a dilation
D) a translation and a dilation
Answer: B not sure tho
Step-by-step explanation:
Answer:
C. a translation and a dilation
Step-by-step explanation:
←statistics please help!
The true mean level of radon exposure in tombs in the region is
Upper limit: 4190.99;
Lower Limit: 2747.01
What is Assumed mean?
The assumed mean approach in statistics is used to determine the mean or arithmetic mean of a set of grouped data. This approach is advised over a direct method for determining the mean if the input data is huge. This technique aids in minimizing calculations and generates tiny numerical values. This approach relies on guessing the mean and rounding to a convenient result. Once more, this amount is deducted from each sample value. The calculations are carried out after selecting a central class and dividing the data into equal-sized ranges or class intervals.
Assumed Mean Formula:
Let f1, f2, f3,..., fn be the corresponding frequencies and x1, x2, x3,..., xn be the midpoints or class marks of n class intervals. The assumed mean method's formula is as follows:
\(\bar{x}=a+\frac{\sum f_i d_i}{\sum f_i}\)
In the given question:
\(\begin{aligned}&n=12 \\&\bar{x}=3469 \\&5=1135\end{aligned}\)
The 95% confidence interval for mean:
\(\begin{aligned}&\left(\bar{x} \pm t_{\alpha / 2, n-1} \frac{5}{\sqrt{n}}\right) \\\Rightarrow &\left(3469 \pm(2.2010) \frac{1135}{\sqrt{12}}\right) \\\Rightarrow &(3469 \pm(2.2010) 328.03) \\\Rightarrow &(3469 \pm 721.99) \\\Rightarrow &(2747.01,4190.99)\end{aligned}\)
The 95% confidence interval for mean:
Upper limit: 4190.99;
Lower Limit: 2747.01
Hence, for a given interval, we can conclude that the true mean lies beth 2747.01 & 4190.99. with 95% C.I.
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Which equation has a graph that includes the point (4.5, 14)? Select all that apply.
Point (4.5, 14) lies on the following equation y = 2x + 5, y = 4x + 4 and y = 5x + 8.5. Options A, C, and D are correct.
What is the equation?The equation is the relationship between variables and is represented as y = ax +c is an example of a polynomial equation.
Since, if the point lies on the equation it must satisfy the equation and must given the given y for given x. (4.5, 14) = (x , y)
For A)
y = 2x + 5
y = 2 * 4.5 + 5
y = 9 + 5
y = 15
Similarly
the procedure can be repeated for the other option,
From the calculation, it is found that Point lies on the equation given in Options A, C, and D.
Thus, (4.5, 14) lies on the following equation y = 2x + 5, y = 4x + 4 and y = 5x + 8.5. Options A, C, and D are correct.
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The question seems to be incomplete, the option can be given as
A) y = 2x + 5
B) y = 3x + 1.5
C) y = 4x + 4
D) y = 5x + 8.5
E = 1/2x + 10
The RADIUS of the barrel is 2.
What is the circumference of the barrel?
Step-by-step explanation:
the required formula is C = 2(pi)r.
Here that comes to 6.28(2 units), or 12.56 units.
224,972.1 rounded to the nearest 100 people
Answer: 225,000
Step-by-step explanation:
what is the slope intercept of the line
Answer:
the equation of a straight line which is of the form y = mx + b, is called the slope intercept form. Here 'm' is the slope of the line and 'b' is the point at which the line intercepts the y - axis. An example for slope intercept form equation is y = 3x + 5.
HELP!!!!!!!!!!!!!!!!!!
Answer:
D 0.89275
Step-by-step explanation:
equivalent expression for 6(a+b)
Answer:
6a + 6b
Step-by-step explanation:
Use Distributive property: a( b +c) =(a *b) +(a*c)
6(a + b) = 6*a + 6*b
= 6a+ 6b
This graph shows the solution to which inequality?
PLEASE HELP ON QUESTION ASAP! 30PTS!
I WILL ALSO GIVE YOU A THANKS RATE YOU FIVE STARS AND MAYBE EVEN BRAINLIEST any silly answeres will be reported / deleted
Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
The box plots show a summary of scores for Class A and Class B on the same test. Both classes have the same number of students.
Determine whether each statement is true based on these box plots. Select True or False for each statement.
The median score of Class B is at least 10 points less than the median score of Class A.
True or false
At least 25% of students in each class scored less than 70.
True or false
At least 50% of students in each class scored between 75 and 95.
True or false
The estimated quotient of 718/6 is
72
80
90
120
Given your sister's incomplete text,
"Meet me at the trails located at (−2," .
Explain why the trails must be in quadrant 2 or quadrant 3.
Explanation:
Quadrants 2 and 3 houses points that have negative x-values, while as Quadrants 1 and 4 houses points that have positive x-values.
If 'your sister' completes the text with negative y-value, the point would be in Q3.
If 'your sister' completes the text with positive y-value, the point would be in Q2.
Answer:
Q2
Step-by-step explanation:
plzzz give me brainliest plzzz
Monica has saved 32% of the money she needs in order to purchase her brother, Ross, a birthday gift. If she needs to
save 44 dollars, how much has she saved so far?
Answer:
If Monica needs to save 44 dollars, and she has saved 32% of that amount, then she has saved 44 * 0.32 = <<44*0.32=14.08>>14.08 dollars so far.
True or False? A number is either positive or negative
True
Positive numbers :- 0 , 1 , 2 , 3 , 4
Negative numbers:- - 1 , - 2 , - 3 , - 4
A redundant constraint is one which Group of answer choices is added after the problem is already formulated. can only increase the objective function value. is parallel to the level curve. plays no role in determining the feasible region of the problem.
Answer:
Plays no role in determining the feasible region of the problem.
Step-by-step explanation:
A Constraints
These are refered to as the restrictions that hinders or reduces the extent to which the/an objective can be worked on/pursued.
A redundant constraint
These are constraints that can be ignored from a system of linear constraints. It is often refered to as an Implied constraints. That is, they are implied by the constraints that surrounds (totality of) the problem.
This is a type of constraint that is not influenced or affected by the feasible region.
Its qualities includes
1. It does not hinders the optimal solution.
2. It also do not hinders the feasible region.
3. It is easily known with the use of graphical solution method
HELP PLEASE ASAP how do i solve this question please help asap
Answer:
18 is the correct answer
3. An airplane has 324 seats arranged in 54 rows. If there are the same number of seats in each row, how many seats are in each row?
Answer: 6
Step-by-step explanation:
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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f(x) = [(9,11),(-11,4),(7,-6),(11,-1), (-6,-15),(-13,-5)].
f^-1(f(93)) = m
(f(7)) = n
Find m and n
Using the inverse functions property:
f⁻¹(f(93)) = m = 93f(7) = n = -6How to find the values of m and n?
Two functions f(x) and f⁻¹(x) are inverses if:
f( f⁻¹(x) ) = x
f⁻¹(f(x)) = x
We want to get:
f⁻¹(f(93)) = m
By using the above definition we get:
f⁻¹(f(93)) = m = 93
Now for the second one we want:
f(7) = n
If you look at the table, you can see that f(x) contains the point (7, -6), then:
f(7) = n = -6
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In ASTU, the measure of ZU=90°, the measure of ZS=16°, and TU = 5.9 feet. Find
the length of ST to the nearest tenth of a foot.
Answer: 21.4
Step-by-step explanation:
Find an equation of the ellipse that has center −3, 5, a major axis of length 8, and endpoint of minor axis 0, 5.
Equation of the ellipse that has center −3, 5, a major axis of length 8, and endpoint of minor axis 0, 5 is (x+3)²/25+(y-5)²/16=1
What is Ellipse?An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
Given,
center −3, 5,
Major axis of length 8
Endpoint of minor axis 0, 5.
Standard form of equation for an ellipse with vertical major axis:
(x-h)²/b²+(y-k)²/a²=1, a>b
(h,k)=(x,y) coordinates of center.
(-3, 5) are coordinates of centre
given length of vertical major axis:=8=2a=4
a=4
a²=16
Length of minor axis=b=5
b²=25
Hence, equation of the ellipse that has center −3, 5, a major axis of length 8, and endpoint of minor axis 0, 5 is (x+3)²/25+(y-5)²/16=1
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Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would be the most reliable?
A. 200
OB. 20
C. 2000
D. 2
A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.
In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.
A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.
Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.
Option A: 200 respondents
This represents only 1% of the population.
While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.
Option B: 20 respondents
This represents only 0.1% of the population.
With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.
Option C: 2000 respondents
This represents 10% of the population.
While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.
The study may provide reasonably reliable results, but there is room for potential sampling error.
Option D: 2 respondents
This represents an extremely small sample size, accounting for only 0.01% of the population.
With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.
Based on the options provided, option C with 2000 respondents would be the most reliable study.
Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.
However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.
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7y^2+15x-22. Y=4. ×=5
let's plug the value of x and y as 5 and 4 respectively to find the value of given expression :
\(7 {y}^{2} + 15x - 22\)\(7(4) {}^{2} + (15 \times 5) - 22\)\((7 \times 16) + 75 - 22\)\(112 + 53\)\(165\)The quadrilateral shown is a rectangle. What is m∠ZVY?
A) 39°
B) 59°
C) 61°
D) 119°
Answer: hey bro i can solve this for you but you need to show the quadrilateral. without it i can't solve it.
Step-by-step explanation: