In this hanger, the weight of the triangle is x and the weight of the square is y.
Write an equation using x and y to represent the hanger.
Answers
9514 1404 393
Answer:
x +3y = 4x +y
Step-by-step explanation:
Apparently, the "hanger" is in balance between its left side, which weighs x+3y, and it right side, which weighs 4x+y. We can represent this balance by ...
x +3y = 4x +y
Related Questions
Can anybody help plzz?? 65 points
Answers
Answer:
[tex]\frac{dy}{dx} =\frac{-8}{x^2} +2[/tex]
[tex]\frac{d^2y}{dx^2} =\frac{16}{x^3}[/tex]
Stationary Points: See below.
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesCalculus
Derivative Notation dy/dx
Derivative of a Constant equals 0.
Stationary Points are where the derivative is equal to 0.
1st Derivative Test - Tells us if the function f(x) has relative max or mins. Critical Numbers occur when f'(x) = 0 or f'(x) = undef2nd Derivative Test - Tells us the function f(x)'s concavity behavior. Possible Points of Inflection/Points of Inflection occur when f"(x) = 0 or f"(x) = undefBasic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Quotient Rule: [tex]\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]f(x)=\frac{8}{x} +2x[/tex]
Step 2: Find 1st Derivative (dy/dx)
Quotient Rule [Basic Power]: [tex]f'(x)=\frac{0(x)-1(8)}{x^2} +2x[/tex]Simplify: [tex]f'(x)=\frac{-8}{x^2} +2x[/tex]Basic Power Rule: [tex]f'(x)=\frac{-8}{x^2} +1 \cdot 2x^{1-1}[/tex]Simplify: [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Step 3: 1st Derivative Test
Set 1st Derivative equal to 0: [tex]0=\frac{-8}{x^2} +2[/tex]Subtract 2 on both sides: [tex]-2=\frac{-8}{x^2}[/tex]Multiply x² on both sides: [tex]-2x^2=-8[/tex]Divide -2 on both sides: [tex]x^2=4[/tex]Square root both sides: [tex]x= \pm 2[/tex]Our Critical Points (stationary points for rel max/min) are -2 and 2.
Step 4: Find 2nd Derivative (d²y/dx²)
Define: [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Quotient Rule [Basic Power]: [tex]f''(x)=\frac{0(x^2)-2x(-8)}{(x^2)^2} +2[/tex]Simplify: [tex]f''(x)=\frac{16}{x^3} +2[/tex]Basic Power Rule: [tex]f''(x)=\frac{16}{x^3}[/tex]Step 5: 2nd Derivative Test
Set 2nd Derivative equal to 0: [tex]0=\frac{16}{x^3}[/tex]Solve for x: [tex]x = 0[/tex]Our Possible Point of Inflection (stationary points for concavity) is 0.
Step 6: Find coordinates
Plug in the C.N and P.P.I into f(x) to find coordinate points.
x = -2
Substitute: [tex]f(-2)=\frac{8}{-2} +2(-2)[/tex]Divide/Multiply: [tex]f(-2)=-4-4[/tex]Subtract: [tex]f(-2)=-8[/tex]x = 2
Substitute: [tex]f(2)=\frac{8}{2} +2(2)[/tex]Divide/Multiply: [tex]f(2)=4 +4[/tex]Add: [tex]f(2)=8[/tex]x = 0
Substitute: [tex]f(0)=\frac{8}{0} +2(0)[/tex]Evaluate: [tex]f(0)=\text{unde} \text{fined}[/tex]Step 7: Identify Behavior
See Attachment.
Point (-2, -8) is a relative max because f'(x) changes signs from + to -.
Point (2, 8) is a relative min because f'(x) changes signs from - to +.
When x = 0, there is a concavity change because f"(x) changes signs from - to +.
I NEED HELP ASAP PLEASE
Answers
Answer:
Step-by-step explanation:
Yo when you get these kind of questions you can use desmos calculator, for the future.
58:27
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:
$0.50, $0.65, $0.80, $0.95, $1.10, ...
Which equation represents Marisa’s library fine as a function of a book that is n days overdue?
f(n) = 0.15n
f(n) = 0.50n
f(n) = 0.15n + 0.35
f(n) = 0.50n + 0.15
Answers
Answer:
a
Step-by-step explanation:
Find the solution for this system of equations:
y = -6x - 8
y = 46
O A) (24, -36)
OB) (36,-5)
OC) (46, -7)
OD) (-9. 46)
Answers
+8 +8
54=6x
54/6=9
x=9
Convert 4/7 to 42nds
Answers
Answer:
24... I hoped dis helped.
15+10f=-12 does someone knows this one?
Answers
Answer:
f = - 2.7
Step-by-step explanation:
15 + 10f = -12
10f = -12 - 15
f = -27/10
f = - 2.7
What is the measure of angle 1?
86°
88°
90°
92°
Answers
Answer:
B: 88
Step-by-step explanation:
Answer:
hi the answer is b: 88
Step-by-step explanation:
hope this helped
If 5 men paint a wall in 3hours,
How many men will paint the same wall in 3/4 hours,
working at the same rate
a)5
b)10
c)15
d)20
e)24
Answers
Answer:20 men
Step-by-step explanation:
is 0.5 or 17/34 greater
Answers
Answer:
They're equal; 17/34 as a decimal is 0.5
Step-by-step explanation:
Hope this helped, Have a Great Day!!
Answer:
17/34 is actually equal to 0.5. So since your comparing it to the decimal o.5 they are both equal to each other (:
Step-by-step explanation:
Thank you for your timeeee
Determine the solution for x^2-3x-28=\> 0
Answers
Answer: x = -4 or x = 7
Step-by-step explanation:
x^2 - 3x - 28 =/>
(factor)
(x^2 + 4)(x-7) = 0
x + 4 = 0 or x - 7 = 0
(subtract -4 from 0 and 7 from 0)
x = -4 or x =7
Answer:
(infinity, -4] or [7, infinity).
Step-by-step explanation:
right on edge
john’s dog eats 4/5 tin of mince meat added in his meal every day . if dog eats 35 full tins of meat in one week(7 days) then how much does it eat every day.
Answers
Answer:
it eats five mince meat everyday
If 25⋅26=n, then which division equation is also true?
n÷26=25
26÷25=n
25÷n=26
25÷26=n
Answers
9514 1404 393
Answer:
n÷26=25
Step-by-step explanation:
Starting with the equation ...
25·26 = n
you can divide both sides of it by 26 to get ...
25 = n ÷ 26 . . . . matches choice A
which table represents a nonlinear function? Help please!
Answers
ANSWER NEEDED ASAP!
Find the value of x. (Hint: The sum of the angles in
a triangle is 180 degrees.)
The value of x is degrees.
Answers
Answer:
look below
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
180-102 = 78
78/2=39
Answers is : x=39
A driver receives -25 points for a rule violation. What integer represents the change in points after four rule violations?
Answers
Answer:
It would be -100
What is 40% of 60????
Answers
Answer: 40% of 60 = 24
Last year a musician made a profit of $1,500 from the sale of his CDs. If he donated 5% of this profit to charity, how much money did he donate to charity?
Answers
Answer:
$3,000
Step-by-step explanation:
5% = .5
1,500 ÷ .5 = 3,000
solve for x.........
Answers
Answer:
61
Step-by-step explanation:
A triangle's total degrees is 180. You add the two angles they give you and then subtract the sum from 180. In number 9, the answer is 61. 47+72=119, 180-119= 61.
(Will mark brainliest and give $5 Starbucks digital card Include SC!!!) For which set of triangles can you immediately use the AAS congruence criteria to prove them congruent?(1 point)
1. triangles STU and VWX, where ∠T≅∠W, ∠U≅∠X, and SU≅VX
2. triangles GHI and JKL, where ∠G≅∠J, ∠H≅∠K, and GH≅JK
3. triangles MNO and PQR, where ∠N≅∠Q, MN≅PQ, and NO≅QR
Answers
I'm not so sure about this answer, but i remember doing something similar to this. I think it's 3.
Your grandfather is giving you $1000 to invest he has suggest an account there are 6% annual interest how much money will be the account 10 years from now
Answers
Answer:1600 dollars
Step-by-step explanation:
6% of 1000 is 60 then 60 × 10 is 600 so 1000 + 600 = 1600
PLS PLS PLS HELP THIS IS AN ALGEBRA 2 QUESTION
Answers
Answer:
look
Step-by-step explanation:
When she simplified her radical she put 5x*2x and 12 squared
what she should ahve done is 5x*4x^2 square 3x
Steve has 8 biscuits in a tin. There are 5 digestive and 3 chocolate biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.
Answers
Probability that he chooses two different types of biscuits is 53.65 %.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
Given
Total biscuits, n = 8
Digestive biscuits = 5
Chocolate biscuits = 3
There are two patterns to chose two different biscuits; a digestive then a chocolate or a chocolate and then a digestive.
∴ The probability of choosing a digestive then a chocolate
= [tex]\frac{5}{8}\times\frac{3}{7}[/tex]
= [tex]\frac{15}{56}[/tex]
= 0.267
The probability of choosing chocolate and then a digestive.
= [tex]\frac{3}{8} \times\frac{5}{7}[/tex]
= [tex]\frac{15}{56}[/tex]
= 0.267
Hence, The combined probability
= [tex]\frac{15}{56}+ \frac{15}{56}[/tex]
= [tex]0.536[/tex]
= 53.6 5 %
Probability that he chooses two different types of biscuits is 53.65 %.
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Answers
NONONONONONONONONONONONONONONONONONONONONONONONONONONKNONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONO
NONONONONONONONONONONONONONONONONONONONONONONONONONONKNONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONO
NONONONONONONONONONONONONONONONONONONONONONONONONONONKNONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONO
Help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
75=-5(3+6m) I need this
Answers
75 = -5(3 + 6m)
Distribute:
75 = -15 - 30m
Add 15 to both sides:
75 = -15 - 30m
+15 +15
90 = -30m
Divide by -30 on both sides:
90/-30 = (-30m)/-30
You should get: m = -3
please help me im dying help
Answers
Answer:
call 911 if you are in a emergency.
Answer:
c
Step-by-step explanation:
y = -5/2 + b (substitute the co-ordinates in y and x)
5 = -5/2 × (-2) + b
5 = 5 + b
b = 5-5
b = 0
Find the slope of the line passing through the pair points (7,6) and (-7,-6)
Answers
Answer:
=6/7
Step-by-step explanation:
Nicholas found the 13th term of the geometric sequence 15, 30, 60, 120 the following way:
A(13) = 15 * 213
A(13) = 15 * 8,192
A(13) = 122,880
Is Nicolas correct? Why or why not? (Make sure to justify your answer) If Nicolas is incorrect please state the correct solution.
Answers
Answer: No. Nicolas is wrong.
Step-by-step explanation:
The formula for calculating nth term of a geometric sequence is given as:
= ar^n-1.
where a = first term = 15
r = common ratio = 30/15 = 2
n = 13
Using the formula,
= ar^n-1
= 15 × 2^(13-1)
= 15 × 2^12
= 15 × 4096
= 61440
The 13th term is 61440. Nicolas is wrong.
Helps me solve this problem please
Answers
Answer:
A.
Step-by-step explanation:
You just plug in the numbers
y = x - 7
-5 = 2 - 7
- 5 = - 5
This makes this equation true.
Simplify
2 x m x n x 8
Answers
Find the products of the numbers
And 16mn basically just means 16xmxn
The simplification for the given expression is 16mn.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
2 x m x n x 8
Since multiplication of two algebraic terms can be done by first multiplying their coefficients and then the variables.
Apply the above mentioned rule to get,
2 x m x n x 8
= 2 x 8 x m x n
= 16 x m x n
= 16mn
Hence, the given expression is simplified as 2 x m x n x 8 = 16mn.
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