Answers
x and y-intercept :
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations.
Absolute min:
An absolute maximum point is a point where the function obtains its greatest possible value.
Absolute max :
An absolute minimum point is a point where the function obtains its least possible value.
Local Extrema (Local Maxima/Minima): The local maxima and minima on a graph refer to the maximum and minimum points of the graph over a specific interval of the graph as opposed to the entire graph, so there can be multiple local maxima and minima of a given graph.
When considering which points are the absolute maximum and the absolute minimum of a graph, we not only need to consider local extrema (a maximum/minimum of a graph on some interval that contains the point), but we also need to consider the endpoints (the furthest left/right points on our graph). By looking at the y-values for each of these points, we can identify the absolute maximum of the graph as the point with the highest y-value, and we can identify the absolute minimum as the point with the lowest y-value.
Step 1: Identify local maxima/minima, as well as the endpoints.
From this graph, we can see that our graph is on the interval
This means we have our endpoints at [-1,-1] , [4,1] ,
to consider. We also observe that we have one local minima and one local maxima in between these points on our interval. The estimated points are all shown in the image.
absolute minimum point : [-1,-1]
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Related Questions
100⁰ - 2x 2x + 20° 5x -40°
solve for x
Answers
This could be wrong, but I think your answer is [tex]x=-2x^3+\frac{900^{\circ \:}x-360^{\circ \:}}{9}[/tex]
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Hope this helps!
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an object moves along a parabolic path defined by the equation in such a way that the y-value is decreasing at a constant rate of 2 units per second. at what rate is the x-coordinate changing when x
Answers
So the change of rate of x is -1/3 .
The Derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.
Given that object is decreasing at constant rate of 2 units per second so we have [tex]y = 2x^2 + 1[/tex]
[tex]\frac{dy}{dt} = 4x \frac{dx}{dt}[/tex]
given dy/dt = -2
when x = 3/2
-2 = 4(3/2) dx/dt
-2 = 6 dx/dt
dx/dt = -2/6
= -1/3
Hence the change of rate of x is -1/3 .
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A carpenter has a wooden dowel that is 72 cm long. She wants to cut it into two pieces so that one piece is 7 times as long as the other. What is the length of the longer piece?
Answers
Answer: 39.5 cm long
Step-by-step explanation: The equation can also be written s 72=2x+7, (x= length of short piece) (x+7+length of long piece.):
72=2x+7
72-7=2x
65=2x
x=32.5
Then to find out the long piece:
x+7
32.5+7=39.5
Pleaseee help me I need this done rn.
Area of a right triangle ABC is 120 sq feet. If AABC goes through a dilation transformation with a scale
factor of 1.5, then what will be the area of the transformed triangle (in sq feet)?
Answers
Answer:
270
Step-by-step explanation:
The area is the same as the original area multiplied by the square of the scale factor.
What must be added to 3x + y to get 2x + 3y?
Answers
You have 3x+y and you need to make it 2x+3y
The difference between 3x and 2x is 1x(x)
And the difference between y and 3y is 2y
For the x you have to minus x from 3x to get 2x,(3x-x=2x)
For the y you have to add 2y to y to get 3y,(y+2y=3y)
Now add them
=3x+y+-x+2y=2x+3y
Therefore you add -x+2y
Answer:
-x+2yStep-by-step explanation:
What must be added to 3x + y to get 2x + 3y?
3x + y + z = 2x + 3y
3x + z = 2x + 3y - y
3x + z = 2x + 2y
z = 2x-3x+2y
z = -x+2y
-------------------
check
3x + y + (-x) +2y =
2x + 3y
the answer is good
question the benefit of using inferential statistics is that it allows a researcher to describe the data describe the data find the measures of central tendency find the measures of central tendency find the spread of the data find the spread of the data make generalizations about a population make generalizations about a population visualize the raw data
Answers
A researcher can make generalizations about a population by utilizing inferential statistics, which is a benefit.
What kind of statistics are inferential, for instance?Two purposes dominate the use of inferential statistics: estimating population numbers (for example, the mean SAT score of all 11th graders in the US). testing hypotheses to make population-level judgments (for example, the relationship between SAT scores and family income).
Inferential statistics that are helpful in the design of experimental and quasi-experimental studies or in the assessment of program outcomes.
When comparing the average performance of two groups on a single measure to check if there is a difference, one of the simplest inferential tests may be performed. You might be interested in learning whether math test results between eighth-grade boys and girls differ or if a program group differs from a control group in terms of the outcome measure.
The t-test for differences between groups should always be taken into consideration when comparing the average performance of two groups.
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you work as an assistant coach on the university swim team and earn $13 per hour. one day, you decide to skip the hour-long practice and go to the county fair instead, which has an admission fee of $10
Answers
23$ is the total cost .
What is cost and example?
The definition of cost is to be valued at something or to lose. A loaf of bread costing $3 is an example of a cost. Giving up your freedom in order to grant freedom to another person is an illustration of cost.Fixed and variable costs are the two main categories of expenses incurred by enterprises. Variable costs change with output, whereas fixed costs do not. Overhead costs are another name for fixed expenses. They must be paid whether a company produces 100 or 1,000 widgets.the total cost = 13$ + 10$= 23$ because he losses a hour in work .
13$ and additionally spending 10$ in carnival .
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twice the sum of 9 and y is less than or equal to 5y
Answers
Answer:
y [tex]\leq[/tex] -6.5
Step-by-step explanation:
2(9+y) [tex]\leq[/tex] 5
(distribute)
18 + 2y [tex]\leq[/tex] 5
(isolate variable)
2y [tex]\leq[/tex] 5 - 18
(simplify)
2y [tex]\leq[/tex] -13
(isolate variable)
y [tex]\leq[/tex] -6.5
Help please quite immediate am pro
Answers
Trey bakes 70 cupcakes for the school Bake Sale. Worried they might run out, he bakes some extra and now has 112 cupcakes.
What is the Percent Change in the number of cupcakes?
Answers
The Percent Change in the number of cupcakes is 60%
How to determine the Percent Change in the number of cupcakes?The given parameters are:
Initial number of cupcakes = 70
Final number of cupcakes = 112
The Percent Change in the number of cupcakes:
Percent = (Final number of cupcakes - Initial number of cupcakes)/Initial number of cupcakes * 100%
This gives
Percent = (112 - 70)/70 * 100%
Evaluate the quotient
So, we have
Percent = 0.6 * 100%
Evaluate the product
So, we have
Percent = 60%
Hence, the Percent Change in the number of cupcakes is 60%
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a subset $b$ of the set of integers from 1 to 100, inclusive, has the property that no two elements of $b$ sum to 125. what is the maximum possible number of elements in $b$? (a) 50 (b) 51 (c) 62 (d) 65 (e) 68
Answers
We get the number of elements in the set B will be 62.
The universal set is A consists of the primary one hundred positive integers.
Set B is a subset of A.
One possibility is that B consists of the primary 62 positive integers.
Then only, the greatest quantity that may be shaped through the sum of any factors of set B is 123.
The number of elements in set B is equal to 62.
We also can selectively interchange one or more elements of B and and add them in complement of B
In most of these instances the number of elements in set B might be 62.
Therefore, we get the number of elements in the set B will be 62.
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A
line passes through the point (-4, 3) and has a slope of 4
Write an equation in slope-intercept form for this line.
Answers
Step-by-step explanation:
the slope-intercept form :
y = ax + b
"a" being the slope, "b" being the y-intercept (the y value when x = 0).
but we have the slope and a point.
so, we can start with the point-slope form and then transform it :
y - y1 = a(x - x1)
"a" is again the slope, (x1, y1) is the given point.
so, we have
y - 3 = 4(x - -4) = 4(x + 4) = 4x + 16
y = 4x + 19
and that's it.
in simple linear regression the estimated slope from the regression of y on x is the same as the estimated slope in the regression of x on y.
Answers
In the given statement is:
In simple linear regression the estimated slope from the regression of y on x is the same as the estimated slope in the regression of x on y.
If Y depends on X then the regression line is Y on X.
Y is dependent variable and X is independent variable. If X depends on Y, then regression line is X on Y and X is dependent variable and Y is independent variable. The regression equation Y on X is Y = a + bx, is used to estimate value of Y when X is known.
What is Simple linear regression?
Simple linear regression is a regression model that estimates the relationship between one independent variable and one dependent variable using a straight line. Both variables should be quantitative.
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question 14(multiple choice worth 1 points) (01.05 lc) which calculation can be used to find the value of p in the equation p3
Answers
The response to this question is that p has a value of 8, or the cube root of 8. i.e. p=∛8.
Why do you use the term "Cube roots"?An integer y such that y³ = x is known as the cube root of a number x in mathematics. All nonzero complex numbers have three different complex cube roots, while all nonzero real numbers have exactly one real cube root and two complex conjugate cube roots. When we multiply a factor three times to obtain a number, we have obtained the cube root of that factor. Three cube root of, ending cubic root is the sign for the cube root. In contrast to cubing an integer, finding its cube root is a mathematical operation.
According to the equation, p³=8
We can clearly see that the power of p is 3.
Now by taking cube root on both the sides, we can see that the value of p is
∛p³=∛8
⇒p=∛8
The value of p in the equation cube root of 8.
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A line intersects the points
(3, 2) and (5, 12).
m = 5
Write an equation in point-slope form
using the point (3, 2).
y - [?] = [](x-[ ])
Answers
The point slope of the the line using the point (3,2) and slope 5 is (y-2)=5(x-3).
Given that A line intersects the points (3, 2) and (5, 12) and asked to write an equation of line passing through (3,2) and having slope as 5.
Point slope form:
The point-slope form of a stright line is y-y1=m(x-x1)
Here (x1,y1) is the fixed point with which the line passes and m is the slope of the line
Here, (x1,y1) is given as (3,2) and m(slope)=5
The equation straight line in point-slope form is (y-2)=5(x-3).
Therefore,The point-slope form of the the line using the point (3,2) and slope 5 is (y-2)=5(x-3).
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What is the area of a rectangle with a length of 9 feet and a width of 7 grade
Answers
9 x 7 = 63 feet
Answer:
63
Step-by-step explanation:
area=length×width so 9×7=63
What is the solution set of the quadratic inequality 6x² + 1 ≤0?
O {X[XER}
O
{X1 X=-1}
Answers
Answer:
The empty set
Step-by-step explanation:
The square of a real number is non-negative, and thus the left hand side is always positive.
Is the given point interior,exterior, or on the circle (x+2^)2+(y-3^)2=81? Q(3,0)
Answers
What is the scale factor from polygon JKLM to polygon ABCD?
Answers
Answer:
for part c
JM=36
AD=12
36=3
JKLM is 3x bigger than polygon ABCD
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Find the average rate of change of each function over the interval [0, 3]. Match each representation with its respective average rate of change.
Answers
The identify each representation's associated average rate of change. The average rate of change for the functions r, q, p is 5, 5, 7/3 over the range [0.3].
Given that,
We have to find over the range [0, 3], calculate each function's average rate of change. The identify each representation's associated average rate of change.
The equation for f(x) average's rate of change across [a,b] is
m=[tex]\frac{f(b)-f(a)}{b-a}[/tex]
The function provided is
r(x)=x²+2x-5
r(0)=(0)²+2(0)-5=-5
r(3)=(3)²+2(3)-5=9+6-5=15-5=10
Now,
m₁=[tex]\frac{r(3)-r(0)}{3-0}[/tex]
m₁=[tex]\frac{10+5}{3}[/tex]
m₁=15/3
m₁=5
It is clear from the graph that q(0)=2 and q(1)=3.
Now,
m₂=[tex]\frac{q(1)-q(0)}{1-0}[/tex]
m₂=[tex]\frac{3+2}{1}[/tex]
m₂=5/1
m₂=5
It is evident from the above table that s(0)=-2 and s(3)=5.
Now,
m₃=[tex]\frac{s(3)-s(0)}{3-0}[/tex]
m₃=[tex]\frac{5+2}{3}[/tex]
m₃=7/3
Therefore, The average rate of change for the functions r, q, p is 5, 5, 7/3.
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( x - 10) (4x - 10) find the measure of each angle
Answers
Answer:
Step-by-step explanation:
disribute it
The graph of y=f(x) is shown below. Find all values of xx where f(x)=3
Answers
What is the sum of [4 -6 8] and [10 2 0]
Answers
Answer:
[14 -4 8]
Step-by-step explanation:
[4+10 -6+2 8+0]
[14 -4 8]
17 cm/min=________m/h
Answers
Answer: .17 m/h
Step-by-step explanation: One centimeter is .01 meters/one hundredth of a meter, so you just need to move the decimal two digits to the right to convert.
i need help with this question please
Answers
Answer:
5x-30
Step-by-step explanation:
x+15+4x-45
5x+14-45
5x-30
Helppp!!!! Quick as anyone can!!! will give brainliest!!!!!
Answers
Answer: A is the same and equivalent
B is different not equivalent
C is the same and equivalent
Step-by-step explanation:
I'm on Edmund
2-78.
Decide if each pair of triangles below is similar. If the triangles are similar,
justify your conclusion by stating the similarity condition you used. Also,
describe a possible sequence of transformations that would carry one onto
the other. If the triangles are not similar, explain how you know they are
not similar.
Answers
The pair of triangles is similar with the ASA similarity condition
How to decide if each pair of triangles is similar?The figure that completes the question is added as an attachment
From the figure, we have the following properties:
Two angles are congruent; This is indicated by the marks on one angle, and the corresponding right angleAlso, the hypotenuse of both triangles are similarThis means that the pair of triangles is similar with the ASA similarity condition.
Since the triangles share the same point
So, the transformation to carry the triangles onto one another is dilation
Hence, the pair of triangles is similar with the ASA similarity condition
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The following diagram depicts a construction of copying a line segment.
If AB is 6.7 cm, what would the length of line segment CD be?
Answers
The diagram depicting the construction of copying a line segment indicates that AB = CD = 6.7 cm.
How can the length of the constructed line segment, AB be found?A line segment, which can be expressed as a segment of a line, has definite length. It is a line drawn that has two endpoints.
A line segment can be named by the capital letters placed at the endpoints.
Copying a line segment, therefore gives a segment of equal length as the original line segment.
Given that the length of AB = 6.7 cm, and the line segment, CD, is obtained by copying segment AB, we have;
Length of CD = Length of AB = 6.7 cm
Therefore;
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i need help on this problem pls
Answers
Step-by-step explanation:
2 3 4 6...................
Someone help with this, need it for hw,thanks!
Answers
Answer: B
Step-by-step explanation: you see how its by the 2 that means that its going to be where the 3 is