Answers
Answer:
Step-by-step explanation:
If the function is
[tex]y=x^2-4x[/tex], then its derivative is
y' = 2x - 4. This is equal to 0 where
2x - 4 = 0 and
2x = 4 so
x = 2. When x = 2 in the original equation:
[tex]y =2^2-4(2)[/tex] so
y = -4. So the coordinate is (2, -4). On to the next one:
If the function is
[tex]y=25x +\frac{1}{x}[/tex] then its derivative is
[tex]y'=25-\frac{1}{x^2}[/tex]. This is equal to 0 where
[tex]25-\frac{1}{x^2}=0[/tex] and
[tex]-\frac{1}{x^2}=-25[/tex] or, in simpler terms:
[tex]\frac{1}{x^2}=\frac{25}{1}[/tex] so
[tex]25x^2=1[/tex] and
[tex]x^2=\frac{1}{25}[/tex] so
x = ±[tex]\sqrt{\frac{1}{25} }[/tex] so
x = [tex]\frac{1}{5},- \frac{1}{5}[/tex]. When you plug those into the original equation, you get the coordinates
[tex](\frac{1}{5},10)[/tex] and [tex](-\frac{1}{5},-10)[/tex]
Related Questions
If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?
Answers
Answer:
The LCM of 3a and 2b = 6P
Step-by-step explanation:
LCM of 3 a and 2 b will be 6 p
Since a is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......
b is not divisible by 3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....
LCM of a and b is P
Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )
Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)
So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)
The LCM of 3a and 2b = 6P
Find the area of this circle. Use 3 for pi
Answers
Step-by-step explanation:
given pi value= 3
radius=7
we know,
area of a circle(A)= πr²
= 3×7²
=147cm²
Answer:
A = 147 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify
r = 7 cm
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = 3(7 cm)²Evaluate exponents: A = 3(49 cm²)Multiply: A = 147 cm²It takes 26 recyclable plastic soda bottles to make one polyester suit. How many bottles will be needed to make one dozen suits??
Need your help.
Answers
Answer:
It would take 312 bottles to make one dozen suits.
Step-by-step explanation:
One dozen suits = 12 suits.
As each suit costs 26 plastic soda bottles to make, we simply multiply 26 bottles by 12 suits to get 312 bottles.
SUPER IMPORTANT AND I NEED HELP 30 points if you answer
Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3
Polygon Y's area is what fraction of Polygon X's area?
Answers
Answer:
1/9th
Step-by-Step Explanation:
The area is measured in units squared, then you have to square 1/3 which is 19th.
Answer:
1/9
Step-by-step explanation: i think so
A circle has a radius of 6cm. What is the area of a sector subtended by an angle of 30 degrees
Answers
Answer:
1/12 of the area of the circle
Step-by-step explanation:
Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12
Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?
Answers
Answer:
25+40x=195
Step-by-step explanation:
If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).
Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?
Answers
Answer:
24 brushes
Step-by-step explanation:
Given data
cost per brush= $19.90
Amount made =$477.60
hence the number of brushes sold is given as
Number of brushes= 477.60/19.90
Number of brushes= 477.60/19.90
Number of brushes= 24 brushes
If Z={x:x€ integrates -2<×<2}.List the elements of this set and also express it in description method.
Answers
Answer:
Z = {-1, 0, 1}
"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."
Step-by-step explanation:
I guess that here we have:
Z = {x : x ∈ integers / -2 < x < 2}
From this we know that:
Z contains only integer numbers.
Z contains only integer numbers that are larger than -2, and smaller than 2
Let's find these integers:
-1 is larger than -2 and smaller than 2
0 is larger than -2 and smaller than 2
1 is larger than -2 and smaller than 2
So our set is:
Z = {-1, 0, 1}
And in description method (just using words)
"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."
This square and a triangle have the same area.
8 cm
? cm
9 cm
What is the length of one side of the square??
cm
Answers
Answer:
[tex]18cm[/tex]
Step-by-step explanation:
A of triangle =
[tex] \frac{1}{2} bh[/tex]
[tex] \frac{1}{2} \times 9 \times 8[/tex]
[tex] = 36cm2[/tex]
A of square=
[tex]s2[/tex]
[tex]36 = s2[/tex]
[tex] \sqrt{36cm2} = \sqrt{s2} [/tex]
[tex]18cm = s[/tex]
PLS ANSWER CORRECT
I WILL REPORT OR BAN YOU IF INCORRECT
I WILL MARK HIM BRAINLIST AND RATE 5 WHO ANSWERS CORRECT
THANKS A LOT
Answers
Step-by-step explanation:
The AB is equal to AC because They are straight lines that both came from the same point Which is A. which shows congruecy or similarity
Please help me. I am so confused right now and I need to turn this in asap.
Answers
Answer:
sorry only doing the ones im sure of
a)
FBC is half the circle, so the angle would = 180.
180 - 135 = 45, so thats the angle between BC
its a vertical angle, so it would be the same on the other side, between FE
the only angle left is betweeen DC, so add them all up and minus by 360
360 - 306 = 54
b)
a triangle's angles add up to 180, so
49 + 70 = 119
180 - 119 = 61
since this is an inscribed angle that isnt connected to the center, the arc will be double the angle
so ? = 122
d)
5(8) = 40
40/4 = 10
x = 10
f)
the rest of the circle is 243 bc 360-117=243
243 - 177 = 126
126/2 = 63
Volume How many fluid ounces are in each size?
1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart
1 Quart = _________fl oz
Answers
Answer:
32
Step-by-step explanation:
a quart is four cups 8,16,24,32 so 32
Answer: 1 Quart is equal to 32 fluid ounces (oz).
Step-by-step explanation:
What is the length of the hypotenuse of the right triangle? Enter your answer in the box.
image
Answers
Answer:
10 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be hypotenuse, then
h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
h = [tex]\sqrt{100}[/tex] = 10
The hypotenuse is 10 ft
Answer:
the answer is 10 but you can ask your friends too
Step-by-step explanation:
h=p2+b2
root under 8 square +6 sqaure
root under 64±36
root Under 100
equals 10
i uses to learn like this but I'm not sure
Q 18. Find the volume of a cylinder of diameter = 4 mm & height = 8 mm. Round to the nearest tenth if necessary. *
A. V= 131.1 mm^3
B. V= 116.9 mm^3
C. V= 100.5 mm^3
D. V= 230.0 mm^3
Answers
Answer: 100.5
Step-by-step explanation:
multiply 3.14 by 2 to the 2nd power by 8. so first 2 to the second power is 4. Then 4x8 is 32. Final step is to multiply 3.14 by 32 to get 100.48. Then you gotta round to get 100.5.
What is cramer's rule ??
Answers
Cramer's rule is an explicit formula for the solution of a system of linear equations. That has many equations as unknowns and valid whenever the system has a unique solution.
Answer:
Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
A pair of fair dice each numbered 1 to 6 is tossed . Find the probability of a score of :
i. two odd numbers.
ii. a sum of 8 or a sum of 12.
ii. both prime or both odd numbers.
Answers
Answer:
i)
Odd numbers:
1, 3, 5 - 3 options of 6P(odd and odd) = 3/6*3/6 = 1/4
ii)
Total outcomes:
6*6 = 36Sum of 8:
2 + 6, 3 + 5, 4 +4, 5 + 3, 6 + 2 - 5 optionsSum of 12:
6 + 6 = 12 - 1 optionP(8 or 12) = 5/36 + 1/36 = 6/36 = 1/6
iii)
Prime numbers:
2, 3, 5 - 3 options of 6Odd numbers:
1, 3, 5 - 3 options of 6P(prime or odd) = 3/6*3/6 + 3/6*3/6 = 1/4 + 1/4 = 1/2
Write the equation in slope-intercept form from the graph
Answers
Answer:
[tex]1) y=\frac{1}{2} x+1[/tex]
[tex]2)y=-x-1[/tex]
[tex]3)y=-\frac{1}{2} -3[/tex]
Step-by-step explanation:
Hope this helps
Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?
Answers
Answer: The sequence generated is 10, 8, 6, 4, 2, ...
This sequence is arithmetic with starting term 10 and common difference -2. This means we add -2 to each term to get the next one (same as subtracting 2 from each term). This common difference is directly connected to the -2 from the recursive rule f(n+1) = f(n)-2
Whatever the nth term f(n) is, we subtract off 2 to get f(n)-2 to get the f(n+1) term, which is right after the nth term.
Answer:
Step-by-step explanation:
f(1)=10
n=1
f(1+1)=f(1)-2
f(2)=10-2=8
n=2
f(2+1)=f(2)-2
f(3)=8-2=6
n=3
f(3+1)=f(3)-2
f(4)=6-2=4
so sequence is 10,8,6,4,...
9
Find the area of the triangle.
Please help
Answers
Answer:
[tex]6ft^2[/tex]
Step-by-step explanation:
The formula to find the area of a triangle: [tex]A=\frac{1}{2} bh[/tex]
The base is 4 because 2 + 2 = 4
[tex]A=\frac{1}{2}( 4)(3)[/tex]
[tex]A=\frac{1}{2} (12)[/tex]
[tex]A=6[/tex]
Hope this helps
Answer:
A) The first one for whole triangle = 6ft^2
or
B) The second one for blue = 3ft^2
Step-by-step explanation:
T1 Area = 1/2 x 3 x 4 = 6ft^2
T2 Area = 1/2 x 3 x 2 = 3ft^2
T3 Blue Area = 6-3 = 3ft^2
help 0-0-0-0-0-0-0-0-0-0-0-0-0-0
Answers
Answer:
(12,0)
Step-by-step explanation:
So whenever you are asked for an "intercept" it is the point where a line crosses the axis. The x intercept is where the line crosses at the x axis (horizontal line on the graph) and the y intercept is where the y axis crosses (vertical axis).
So this question is really asking where is the point when y = 0
The x values in the chart are 5 apart-- 22 +5 = 27, 27+ 5 = 32
The y values are 18 apart --> 36 + 18 = 54, 54+ 18 = 72
Make a little chart where y = 0 (this is where the x crosses) and you can see
there is a point at (17, 18) and then (12, 0) and that point is the x intercept.
Answer:
(12, 0)
Step-by-step explanation:
the x-intercept is the point, where y=0.
so, the second coordinate is therefore 0, no matter what.
now, at what x is that ?
let's find the line function.
a line is
y = a×x + b
let's use the first point (22, 36)
36 = a×22 + b
a = (36 - b)/22
let's use the second point (27, 54)
54 = a×27 + b
now we use the first expression describing a in terms of b and insert that into the second expression.
54 = 27×(36 - b)/22 + b
54×22 = 27×(36 - b) + 22b = 972 - 27b + 22b
1188 = 972 - 5b
216 = -5b
b = -43.2
=>
a = (36 - -43.2)/22 = (36 + 43.2)/22 =79.2/22 = 3.6
our line is
y = 3.6x - 43.2
so, now back to the question, at what x is y=0 ?
0 = 3.6x - 43.2
3.6x = 43.2
x = 12
find the value of (1) sin 60°+cis 30°/ tan 30°*tan 60°
Answers
Answer:
sin60°+cos30/tan30*tan60
1/2+√3/2/1
1+√3/2
Express 60g as a percentage of 3kg?
Answers
Answer:
SOLUTION IS ON PICHOPE IT HELPS YOUMARK AS BRAINLIST ANSWERwhich segments are congruent?
Answers
Answer:
LN and NK
Step-by-step explanation:
line LK was bisected (cut in half) by JM
the segment created by the bisector will be congruent
NEED ANSWER(s)!!! THANK YOU!!!
Answers
Answer: A. Sea otter (5 meters below sea level) Fish(1 meter below sea level) and Bird (4 meters above sea level)
B. Fish is closest to sea level by only 1 meter, Bird is 4 meters above sea level, so it would be second, and Sea Otter is the farthest from Sea level because it is 5 meters under sea level
Step-by-step explanation: that is my explanation, and to explain what i said, 0 is sea-level
PLEASE HELP: Click on the graph to choose the correct answer to the equation.
y > 2
(Choose one of the graphs from the image as the answer)
Answers
Answer:
The 8th graph.
Step-by-step explanation:
It has a horizontal line over two which indicates that the y axis is known and over 2.
The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been the given inequality y > 2
Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).
It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.
Therefore, the required graph of the given inequality y > 2 is shown in the attached file.
Hence, the correct answer would be option (H).
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
Two parallel sides of a trapezium are 120 cm and 154cm and the other sides are 50 cm and 52 cm. Find the area of trapezium.
Answers
6576 cm2
See the image encrypted above.
the equation cos(x)( cos(x)-tan(x)sin(x)) simplifies to
Answers
PLSSSS HELP fast pls !!
Answers
Answer:
16p^2 - 9
Step-by-step explanation:
Use FOIL method of multiplication
In converting 14 hours to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 minutes in 1 hour.
Answers
Answer:
The unit I would place in the denominator of my ratio is minutes
Step-by-step explanation:
1 hour = 60 minutes
Converting 14 hours to minutes
= 14 hours/ x minutes = 1 hour /60 minutes
x minutes = 14 × 60 minutes
= 840 minutes
14 hours = 840 minutes
Therefore,
The unit I would place in the denominator of my ratio is minutes
Given: AD diameter of Circle P. If m 1 = 40°, then m AB = A)80 B)40 C)20
Answers
Answer:
20
Step-by-step explanation:
lol
Answer:
20
Step-by-step explanation:
