Answers
In the given graph point B is a relative maximum with the coordinates (0, 2).
The given function is [tex]y=x^{4}-2x^{2} +1[/tex].
In the given graph, we need to find which point is a relative maximum.
What are relative maxima?The function's graph makes it simple to spot relative maxima. It is the pivotal point in the function's graph. Relative maxima are locations where the function's graph shifts from increasing to decreasing. A point called Relative Maximum is higher than the points to its left and to its right.
In the graph, the maximum point is (0, 2).
Therefore, in the given graph point B is a relative maximum with the coordinates (0, 2).
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Related Questions
Which of the following statements is false?
Answers
In quadrilateral PQRS, ∠P and ∠S are opposite angles.
Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm.
Answers
Answer:
Base = 24 cm or 10cm
Step-by-step explanation:
REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²
Using the formulas
[tex]A=\frac{bh_b}{2}[/tex]
[tex]h_b=\sqrt{a^2-\frac{b^2}{4} }[/tex]
There are 2 solutions for [tex]b[/tex]
[tex]b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } }[/tex] ≈ [tex]10cm[/tex][tex]b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm[/tex]
Less complex:
Area of a triangle = 1/2 * b * h = 60
=> h = 120/b
In right triangle ABD
13² = h² + b² /4 ( by Pythagoras law)
=>169 = 120²/b² + b²/4
=>676 b² = 57600 + b^4
=> b^4 - 676 b² + 57600 = 0
=> b² = 676 +- √(676² - 4*57600) / 2
=> b²= 676 +- √(226576) /2
=> b² = (676 +- 476 )/2
=> b² = 1152/2 , 200 /2
=> b² = 576 , 100
=> b = 24, 10
So, Base = 24 cm or 10cm
Determine the endpoints of the midsegment connecting side YX and side YZ
Answers
Answer:
endpoint of midsegment connecting side YX is (4, 3)
endpoint of midsegment connecting side YZ is (5, -1)
Step-by-step explanation:
Mid point of a line segment - it is the middle point of a line segment. It is equidistant from both endpoints and it is the centroid both of the segment and of the endpoints.
according to the graph;
Y is (1, 2), Z is (9, -4), X is (7, 4)
therefore using mid point formula we can determine the endpoints of midsegments connecting side YX and YZ
if (x , y) and (x1, y1) are the endpoints of a line then;
The coordinates of mid point are given by the formula = (x+x1)/2, (y+y1)/2
using the above formula mid point of YX is
(7+1)/2, (4+2)/2 = (4, 3)
and the mid point of line YZ is
(9+1)/2, (-4+2)/2 = (5, -1)
hence the answer is (4,3) and (5, -1)
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which is NOT an arithmetic sequence
-7,0,7,14
0,5,1,1.5
10,6,2,-2
2,4,8,16
Answers
Answer:
2,4,8,16
Step-by-step explanation:
2,4,8,16
difference is multiplied by 2
A bike store rents bikes for $9 an hour in addition to a helmet rental fee of $15. If
Emmanuel paid $51, for how many hours did he rent the bike?
Answers
Answer:
4 hours
Step-by-step explanation:
First we need to subtract the one pay fee (the helmet rental fee, $15)
So 51 - 15 = 36
Then we need to divide 36 by the amount of money it costs for each hours to find how many hours he rented the bike
So 39/9 = 4
HELPPPP PLEASEE DUEE SOONNN
Answers
(A) n=w by the corresponding angles theorem.
(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary, and are not always equal.
(C) n=z by the alternate exterior angles theorem.
(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.
(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.
Belfast Giants have played 5 matches and the mean number of goals scored is 3
When they play the 6th match, the mean increases to 4.
Answers
Answer:
2 goals
Step-by-step explanation:
After 5 games the team scored 1.8*5=91.8∗5=9 goals.
After 6 games the team scored 9+3=129+3=12 goals.
The mean after 6 games is \frac{12}{6}=2
6
12
=2 goals.
write a formula that will help eric determine how much the potatoes he buys will cost in bulk.
t = total price
p = price for kilograms
k = number of kilograms of food
Answers
[tex]t = p*k[/tex] is the formula that will help eric determine how much the potatoes he buys will cost in bulk.
What is Advance algebraic Equations?An equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.
According to the question,
In order to calculate the price of the fruit we need to multiply the amount of food in kilograms by the price per kilogram of that specific food.
Since we are given specific variables for each piece of information needed for the variable.
All we need to do now is to create the formula to calculate the total price of the potatoes that Eric needs to buy.
[tex]t = p*k[/tex]
By using this formula lets Eric calculate the total price of an order of fruit or vegetables.
Therefore,
A formula that will help eric determine how much the potatoes he buys will cost in bulk is [tex]t = p*k[/tex]
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Select from the drop-down menu to create a statistical question Susan could ask her friends in a survey.
How many
pushups can you do
days does melanie exercise
bones are in the human body
pounds are in a kilogram
Answers
The statistical question that Susan could ask her friends in a survey is that How are push-ups important for the body?
What are statical questions?It should be noted that statistical or research questions are the questions that an individual seeks answers to.
In this case, the statistical question that Susan could ask her friends in a survey is that How are push-ups important for the body?
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Answer: 2. How many pushups can you do
I got 100% on my online homework and here is proof.
Please mark me brainliest : D
The drama teacher wants to know whether more families of students at the school would attend a musical or a comedy.
Which of the following survey methods will allow the drama teacher to make a valid conclusion about which genre of performance more families would attend?
Choose 1 answer:
Choose 1 answer:
Answers
To determine whether more families of students at the school would attend a musical or a comedy , she should Assign a number to each family, use a computer program to select 20 random numbers , Option A is the right answer.
What are different survey methods ?Some of the survey methods are Online Survey , Telephonic survey , Kiosk Survey , Face to Face Survey etc.
It is given that there are n number of families ,
To determine whether more families of students at the school would attend a musical or a comedy.
To do so she has to do random sampling from the group of families.
So , she should Assign a number to each family, use a computer program to select 20 random numbers.
Therefore Option A is the right answer.
The complete question is
The drama teacher wants to know whether more families of students at the school would attend a musical
or a comedy.
Which of the following survey methods will allow the drama teacher to make a valid conclusion about
which genre of performance more families would attend?
Choose 1 answer:
Assign a number to each family, use a computer program to select 20 random numbers
between 1 and the total number of families, and ask the families selected.
For each letter of the alphabet, assign a number to each family whose last name begins with
that letter, use a computer program to select a random number between 1 and the total
number of families whose last name begins with that letter, and ask the family selected.
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Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Answers
Answer:
3/2
Step-by-step explanation:
what will be the exponent of ten in quotient
Answers
Answer: 8
Step-by-step explanation:
We know that:
[tex]\frac{10^{12}}{10^{4}}=10^{12-4}=10^{\boxed{8}}[/tex]
The loudness, L, measured in decibels (Db), of sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
Answers
The correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.
The loudness L, ( which is measured in decibels (Db)), of the sound of the intensity I, can be calculated in watts per square meter,
L = 10 log(I/I₀)
where I₀ = 10⁻¹² which is the least intensity that a human can hear.
The sound intensity of a dinner conversation= I= 10⁻⁷
Loudness L of that conversation = 10 log (10⁻⁷/10⁻¹²)
= 10 log(10⁻⁷⁻⁽⁻¹²⁾)
= 10 log(10⁻⁷⁺¹²)
= 10 log(10⁵)
= 10*5
= 50 Db
Therefore the correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.
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What is the name of an item that you will buy only once?
Answers
The name of an item that a person can only buy once in one's lifetime are:
A strong quality outdoor trash can.A high-quality knife set.Can opener.Corkscrew.Measuring cups, etc.What are lifetime products?These are known to be a product that one can buy and a person can use for a lifetime until they grow tired of using it.
Note that not all product can or need to last forever but there are a lot of products that can actually do. some of which are:
A strong quality outdoor trash can.A high-quality knife set.Can opener.Corkscrew.Measuring cups, etc.Learn more about products from
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Write the word phrases into an algebraic expression : 4 less than 5 times a number "p"
Answers
5 times ‘p’ = 5p
4 less than ‘p’ = p - 4
Therefore,
=> 5p - 4
2. Which of the following is true for the relation f(x) = x² + 8
only the equation is the function Only the in inverse is a function Neither the equation nor it’s inverse is a function Both the equation and it’s inverse are function
Answers
Answer:
Only the equation is the function
Circle A has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. The diameter of circle B is 3 inches, the circumference is 9.42 inches, and the area is 7.065 square inches.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)
I just need the equations and answer for each part please
Answers
The value of pi determined is same when used the circumference formula and the formula of area.
What is Circle ?A circle is a round shaped figure , whose all the point lie on same plane.
It is given that
The value of pi is about 3.14, and it is the same when using both the area and circumference.
The circumference is found by
Circumference = π * diameter
For circle A:
25.12 = π * 8
π = 3.14
For circle B:
9.42 = π * 3
π = 3.14
The area is given by
Area = π * diameter² / 4
For circle A:
50.24 = π * (8²)/4
π = 3.14
For circle B:
7.065 = π * (3²)/4
π = 3.14
The value of pi is about 3.14,
The value of pi determined is same when used the circumference formula and the formula of area.
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If a is a negative number, then a
always, always
and b is a negative number, then product ab is ?
Answers
Answer:
if a and b are both negative numbers, the product is a positive number
odd x odd= even
It’s also the same as saying ,
Negative x Negative = positive
A river flows at 2m/s. Juan’s boat can travel twice as fast down the river as it can go up the river. How fast can the boat go in still water?
Answers
Answer: 2m/s
Step-by-step explanation:
The boat goes twice as fast down the river, which means it goes twice as slow up the river.
Because the river flows at 2m/s, I think the answer is 2m/s
Which statement is true regarding the graphed functions?
Answers
Answer:
4th option
Step-by-step explanation:
the solution is at the point of intersection of the 2 lines, that is
(- 2, 4 ) where x = - 2 , then
f(- 2) = g(- 2)
Answer: D. or f(–2) = g(–2)
Step-by-step explanation:
In the given graph, the two lines intersects at x = -2
And intersection point is that point, where the y values of the two graphs are equal.
That is: f(x) = g(x)
And at x=-2, the y values are equal. So:
f(-2) = g(-2)
Assume that y varies inversely as x. if y=8 when x=-2 find y when x=4
Answers
The value of y will be -4 when the value of x is 4.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equation of the given condition will be given as:-
y = [tex]\dfrac{k }{x}[/tex]
At y = 8 when x = -2 so
8 = [tex]\dfrac{k}{-2}[/tex]
k = -16
The value of y at x = 4 will be calculated as:-
y = [tex]\dfrac{-16}{4}=-4[/tex]
Therefore the value of y will be -4 when the value of x is 4.
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Express (x-8x)^2 as a trinomial in standard form
Answers
Answer:
(x - 8x)²
(x - 8x) (x - 8x).
using the identity
( a - b) ² = a² + b² - 2ab
a = x
b = 8x
x² + 64x - 16x²
Find the volume of this sphere.
Use 3 for pie.
V≈ [?]cm³
V = πr³
10 cm
Answers
Answer:
V ≈ 500 cm³
Step-by-step explanation:
Volume of a sphere: ⁴⁄₃πr³ (where r is the radius)
π (pi) ≈ 3r (radius) = diameter/2 ⇒ 10/2 = 5 cmSubstitute the given values into the formula:
⇒ V = ⁴⁄₃πr³
⇒ V ≈ (⁴⁄₃)(3)(5)³
⇒ V ≈ (⁴⁄₃)(3)(125)
⇒ V ≈ (⁴⁄₃)(375)
⇒ V ≈ 500 cm³
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Given: [tex]\textsf{Diameter = 10 cm, Volume = 4/3} * \pi*r^3[/tex]
Find: [tex]\textsf{Determine the volume}[/tex]
Solution: First we need to determine the radius by dividing the diameter by 2 and after that we can plug in the information into the equation and simplify it until we get the volume.
Determine the radius
[tex]\textsf{Radius = Diameter / 2}[/tex][tex]\textsf{Radius = 10 cm / 2}[/tex][tex]\textsf{Radius = 5 cm}[/tex]Plug in the values
[tex]\textsf{Volume = 4/3 } * \pi*r^3[/tex][tex]\textsf{Volume = 4/3 } * 3 * (5\ cm)^3[/tex]Simplify the expression
[tex]\textsf{Volume = (4 * 3)/3} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * 125\ cm^3[/tex][tex]\textsf{Volume = } 500\ cm^3[/tex]After completing the steps we were able to determine that volume of the sphere that was provided is 500 cubed centimeters.
If a data set has many extremely small data values, than the median will be
Answers
Answer:
If a data set has many extremely small data values, than the median will be the same.
What is the median?The middle number in a given sequence of number, taken as the average of the two middle numbers when the sequence has an even number of numbers.
The median is resistant to change no matter extremely small or large values.
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x^{2} +5x+6
[tex]x^{2} +5x+6[/tex]
Answers
Answer: No answer
Step-by-step explanation:
You can calculate for x, because the equation isn't equal to anything.
Which are factors of x² - 4x - 5? Select two options.
(x - 5)
0 (x-4)
0 (x-2)
0 (x + 1)
0 (x + 5)
Answers
Answer:
(x-5) & (x+1)
Step-by-step explanation:
Answer:
(x - 5) and (x + 1)
Step-by-step explanation:
x² - 4x - 5
consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)
the factors are - 5 and + 1 , since
- 5 × + 1 = - 5 and - 5 + 1 = - 4 , then
x² - 4x - 5 = (x - 5)(x + 1)
A T-shirt that costs $12 is now on sale for 15% off. What is the sale price of the t-shirt?
Answers
Answer:
$14.18
Step-by-step explanation:
just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer
Question 3
In Question 1, what do you notice about the x-coordinates before and after a horizontal stretch? What do you notice about the y-coordinates
before and after a vertical stretch? Express your answer in terms of Nx and Ny
Answers
The y coordinates doesn't change under a horizontal stretch while the x coordinates do not change under a vertical stretch.
How to depict the coordinate?It should be noted that coordinates are vital in determine the position of an object or points.
In this case, the y coordinates doesn't change under a horizontal stretch while the x coordinates do not change under a vertical stretch.
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Answer:
The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.
Step-by-step explanation:
find the measure of major arc RUT. shiw your work please.
Answers
Answer:
well not sure but I think it is 8° or 17.8°
Horizontal lines n and m are intersected by lines q and p. At the intersection of lines q and n, the uppercase right angle is angle 4. At the intersection of lines q and m, the uppercase left angle is angle 1. At the intersection of lines p and n, the bottom left angle is angle 3. At the intersection of lines p and m, the uppercase left angle is angle 2.
If angle 1 is 110°, what would the other angle measures have to be in order for m || n and
q || p?
Angle 2 = °
Angle 3 = °
Angle 4 =
Answers
The values of the angles based on the information will be:
Angle 2 = 110°
Angle 3 = 70°
Angle 4 = 70°
How to calculate the angles?From the information given, angle 1 is 110° and the horizontal lines n and m are intersected by lines q and p.
In this case, it should be noted that vertcally opposite angles are equal. Hence, angle 2 is also 110°.
Angle 3 will be:
= 180° - 110° = 70° (angle on a straight line).
Angle 4 will also be 70° as a vertically opposite angle to angle 3.
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Answer:
The values of the angles based on the information will be:
Angle 2 = 110°
Angle 3 = 70°
Angle 4 = 70°
Step-by-step explanation:
