Answer:
i don't understand
Step-by-step explanation:
How to find extreme values of a function.
Answer:
See below
Step-by-step explanation:
Extreme values of a function are found by taking the first derivative of the function and setting it equal to 0. To determine if it's a minimum or maximum, we set the second derivative equal to 0 and determine if its positive or negative respectively.
Let's do [tex]f(x)=3x^4+2x^3-5x^2+7[/tex] as an example
By using the power rule where [tex]\frac{d}{dx}(x^n)=nx^{n-1}[/tex], then [tex]f'(x)=12x^3+6x^2-10x[/tex]
Now set [tex]f'(x)=0[/tex] and solve for [tex]x[/tex]:
[tex]0=12x^3+6x^2-10x[/tex]
[tex]0=2x(6x^2+3x-5)[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-3\pm\sqrt{3^2-4(6)(-5)}}{2(6)}[/tex]
[tex]x=\frac{-3\pm\sqrt{9+120}}{12}[/tex]
[tex]x=\frac{-3\pm\sqrt{129}}{12}[/tex]
[tex]x=-\frac{3}{12}\pm\frac{\sqrt{129}}{12}[/tex]
[tex]x=-\frac{1}{4}\pm\frac{\sqrt{129}}{12}[/tex]
[tex]x_1=0,x_2\approx0.6965,x_3=-1.1965[/tex]
By plugging our critical points into [tex]f(x)[/tex], we can see that our extreme values are located at [tex](0,7)[/tex], [tex](0.6965,5.956)[/tex], and [tex](-1.1965,2.565)[/tex].
The second derivative would be [tex]f''(x)=36x^2+12x-10[/tex] and plugging in our critical points will tell us if they are minimums or maximums.
If [tex]f''(x)>0[/tex], it's a minimum, but if [tex]f''(x)<0[/tex], it's a maximum.
Since [tex]f''(0)=-10<0[/tex] then [tex](0,7)[/tex] is a local maximum
Since [tex]f''(0.6965)=15.822>0[/tex], then [tex](0.6965,5.956)[/tex] is a local minimum
Since [tex]f''(-1.1965)=27.18>0[/tex], then [tex](-1.1965,2.565)[/tex] is a global minimum
Therefore, the extreme values of [tex]f(x)=3x^4+2x^3-5x^2+7[/tex] are a global minimum of [tex](-1.1965,2.565)[/tex], a local minimum of [tex](0.6965,5.956)[/tex], and a local maximum of [tex](0,7)[/tex].
Hope this example helped you understand! I've attached a graph to help you visualize the extreme values and where they're located.
216+5( 8+1/5) Please i need it asap ty!
Answer:
257
Step-by-step explanation:
216 + (5 x(8 + 1/5)
Solve for value of y
(9y - 6) + 51 = 90 (right angle)
9y - 6 + 51 = 90
9y - 6 = 90 - 51
9y - 6 = 39
9y = 39 + 6
9y = 45
y = 45/9
y = 5
_______
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
A certain book has 200 pages, and 47 of these pages have an illustration. If one of the book's pages
is selected at random, what is the probability of selecting a page with an illustration? (Express your
answer as a decimal or fraction, not as a percent.)
Answer: fraction:47/200 desimal:0.235
Step-by-step explanation:
What are the types of polygons?
Answer:
Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon
Answer:
1.Regular Polygons.
2.Irregular Polygons.
3.Concave Polygons.
4.Convex Polygons.
5.Trigons.
6.Quadrilateral Polygons.
7.Pentagon Polygons.
8.Hexagon Polygons.
Step-by-step explanation:
A 0;2;4;6;8
;
B 3;4;5;6;7
Answer:
A -4; -2; 0 ; 2 ; 4 ; 6 ; 8 ; 10
B 1; 2; 3; 4; 5; 6; 7; 8
The fraction 7/12 is found between which pair of numbers on a number line?
Answer:
B
Step-by-step explanation:
[tex]\dfrac{13}{24}< \dfrac 7{12} < \dfrac 34[/tex]
PERSONALLY I thought it would be 98 Bc like yk..BUT I FEEL LIKE IM WRONGsend help beggin cryin throwin up I hate geometry so much
Answer:
98
Step-by-step explanation:
It is 98! x and the 98 degree angle are corresponding angles and m is parallel to n. dw I hate geometry too.
you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds. graph each ratio relationship in the coordinate plane
(im in 6th grade)
In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:
d = mt + b
d is the distance covered
t is the time taken
m is the speed
If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)
Get the slope of the line:
m = (9-30)/(2-5)
m = -21/-3
m = 7
Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b
9 = 7(2) + b
9 = 14 + b
b = -5
The required equation to plot will be expressed as y = 7t - 5
Plot the required graph
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your grade varies directly with the time you study if you study for 40 minutes your grade is an 80 how long should you study to get a 95
Answer:
47.5 minutes
Step-by-step explanation:
40 min = 80
x min = 95
40/80 = x/95
3800 = 80x
x = 47.5
-Chetan K
find an equation of the line that passes through the points (-3,10) and (2,-5)
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for the slope a :
x changes by +5 (from -3 to 2)
y changes by -15 (from 10 to -5)
so, the slope is -15/+5 = -3
the equation looks now like
y = -3x + b
let's use the first point
10 = -3×-3 + b = 9 + b
1 = b
so, the equation is
y = -3x + 1
What is the slope for this table?
Give an explanation.
Answer:
the shape of the graph is a vertical straight line. So the angle is 90°
So tan 90° = infinite
Answer: The slope is undefined.
Step-by-step explanation:
The slope is undefined because it is based on the Rise (y) over the Run (x) of the data points. X is not changing even as y goes from -2 to 8. If we took the first and last points, (-1,-2) and (-1,8) and go from left to right, y increases by (8-(-2)) = 10 while x is unchanged, or o. Rise/Run therefore becomes 10/0. Division by 0 is undefined in math, so the slope is undefined.
This is a straight vertical line going through x = -1. All y's are on this line. Undefined slope.
Find the perimeter. Simplify the answer.
Answer:
16c+24
Step-by-step explanation:
4c+4c+7+7+8c+10=16c+24
4. Which of the following is the equation of a line that is perpendicular to a line that
goes through points at (-1,5) and (1, -3) and contains point (4, -4)?
A. y = - 4x - 5
B. y = - 4x - 3
C. y = 1/4 x - 3
D. y = 1/4 x – 5
Answer:
C. y = 1/4 x - 3
Step-by-step explanation:
Given that I = PTR/ 100 , make T the subject of the formula.
Step-by-step explanation:
I=PTR/100
cross multiply to get 100I= PTR
Put 100I/PR and PTR/PR
HENCE u get 100I/PR=T
THIS is because the PR cancelled from PRT to remain with T
1) State the area of the given trapezoid.
5m
5m
8m
4m
A) 20 square meters
B) 26 square meters
C) 32 square meters
D) 40 square meters
Answer:
The answer would be 26
Step-by-step explanation:
First I divided the shape to make a rectangle and a right angle triangle, then i calculated the shape of the rectangle which came out to be 20. After that I calculated the area of the right angle triangle which is 6. So The answer would be 6 + 20 = 26
what is the slope of y =4 - 2x ?
Answer:
−2.
Step-by-step explanation:
y = 4 − 2x? b is the y -intercept. Here, 4 is b and −2 is m. Therefore, the slope is −2.
I need an emergency help plssssss! :(
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
[tex]\\ \sf\longmapsto \sqrt{X^{a-b}}\times \sqrt{X^{b-c}}\times \sqrt{X^{c-a}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}}\times X^{\frac{b-c}{2}}\times X^{\frac{c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}+\frac{b-c}{2}+\frac{c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b+b-c+c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-a+b-b+c-c}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{0}{2}}[/tex]
[tex]\\ \sf\longmapsto X^0[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
Solve the following
5 3/4 + (6 2/3 - 4 5/6) =
Answer:
7 5/12
Step-by-step explanation:
first, subtract 4 5/6 from 6 2/3 by converting 6 2/3 to 6 4/6
5 3/4 + (6 4/6 - 4 5/6) = 5 3/4 + 1 4/6
* I borrowed 6/6 or '1' from the 6 and made 4/6 into 10/6
5 3/4 equals 5 9/12 and 1 4/6 equals 1 8/12
adding them gives you:
6 17/12 which is the same as 6 + 1 5/12, or 7 5/12
The length of perpendicular drawn from the opposite vertex to any side is a) altitude b) median c) perpendicular d) angle bisector
Answer:
Step-by-step explanation:
Altitude or height
Answer
It is known as altitude
There are three such altitudes and the point of intersection of these altitudes
is called as orthocentre
find the square root of each by division method:
a) 225 b) 961 c) 3969 d) 10404
If you can give the correct answer first, I'll mark the brainliest.
Refer to the attachment
Answer:
[tex]\sqrt[2]{225} =15[/tex], [tex]\sqrt[2]{961} =31[/tex], [tex]\sqrt[2]{3969} =69[/tex], [tex]\sqrt[2]{10404} =102[/tex]
Step-by-step explanation:
[tex]\sqrt[2]{225} =\sqrt{15*15}=15[/tex]
[tex]\sqrt[2]{961}=\sqrt{31*31} =31[/tex]
[tex]\sqrt[2]{3969} =\sqrt{69*69} =69[/tex]
[tex]\sqrt[2]{10404} =\sqrt{102*102}=102[/tex]
A house was sold for $64,900. If the selling price represents a 25% profit over the purchase price, how many dollars were in the purchase price of the house?
If the house is sold with a 25% profit then the purchase price of the house will be equal to $48,675.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the data provided in the question,
The selling price of the house = $64,900
Profit percent = 25%
The profit price of the house after selling,
64900 × 25/100
= $16225
Now,
The purchase price of the house,
$64900 - $16225 = $48675.
To know more about Percentage:
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Ten less than the product of a number and 45.
Answer:
45*x-10
Step-by-step explanation:
10 less than a number would give you
x - 10
and the product of a number means your multiplying and your multiplying 45 so you would get
45*x
add them together and you get
45*x-10
question is on picture attached
[tex]7(\frac{9}{4}x- \frac{18}{7})= -\frac{5}{21} +\frac{17}{7}x <=> \frac{63}{4}x-18 =-\frac{5}{21}+ \frac{17}{7}x\\ <=>\frac{63}{4}x - \frac{17}{7}x = 18-\frac{5}{21}<=>\frac{373}{28} =\frac{373}{21} <=>x=\frac{4}{3}[/tex]
ok done. Thank to me :>
To all who are good at math please help 80 points
Answer:
Number 4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Get it right and you get the brainliest. Copy the lines and draw on them to complete the assignment.
Answer:
Step-by-step explanation:
NEED ANSWER ASAP PLEASE
Use the graph to answer the questions.
What is the price at which the supply and demand equalize (there will be no extra or shortage of product?)
a. $2
b. $8
c. $4
d. $6
What is the quantity at which the supply and demand of this product will equalize?
1. 400 units
2. 300 units
3. 600 units
4. 200 units
Solve for the value of n
Answer:
n = 8
Step-by-step explanation:
Both given angles are verticale angles therefore they are congruent, so;
9n = 8n + 8
(9n - 8n) = 8
n = 8
Hope this helps!
Answer the question below:
A: 2 units right and 6 units up
B: 6 units left and 2 units down
C: 2 units left and 6 units up
D: 6 units right and 2 units down
Answer:
c
Step-by-step explanation:
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1125. How long did each mechanic work?
Answer:
15 and 5 hours.
Step-by-step explanation:
Call x the time taken by the first chap, and y the second.
[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]
Let's divide by 5 and play with the LHS of the first equation a bit:
[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.
[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]