Answer:
the recursive formula gives the value of a certain term based on the previous term but the explicit formula gives the value of a specific term based on the position.
Step-by-step explanation:
A driver receives -25 points for a rule violation. What integer represents the change in points after four rule violations?
Answer:
It would be -100
Simplify
2 x m x n x 8
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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Can anybody help plzz?? 65 points
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 +.
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)
What is the measure of angle 1?
86°
88°
90°
92°
Answer:
B: 88
Step-by-step explanation:
Answer:
hi the answer is b: 88
Step-by-step explanation:
hope this helped
PLS PLS PLS HELP THIS IS AN ALGEBRA 2 QUESTION
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.
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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Helps me solve this problem please
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.
15+10f=-12 does someone knows this one?
Answer:
f = - 2.7
Step-by-step explanation:
15 + 10f = -12
10f = -12 - 15
f = -27/10
f = - 2.7
Help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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.
Answer:
it eats five mince meat everyday
is 0.5 or 17/34 greater
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
which table represents a nonlinear function? Help please!
(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
I'm not so sure about this answer, but i remember doing something similar to this. I think it's 3.
In a sale, a blow dryer is marked down from $18.98 to $11.39.
What is the percent decrease?
The percent decrease is 61.94%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
In a sale,
a blow-dryer is marked down from $18.98 to $11.39.
Let n be the percent decrease.
So,
n = 11.39 x 100/18.39
n = 61.94
Therefore, the required percentage is 61.94%.
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solve for x.........
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.
If 25⋅26=n, then which division equation is also true?
n÷26=25
26÷25=n
25÷n=26
25÷26=n
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
Find the slope of the line passing through the pair points (7,6) and (-7,-6)
Answer:
=6/7
Step-by-step explanation:
MATH ANSWER IF YOU LIKE THESE SONGS
Muffin time
life is fun
i like trains
Answer:
1 + 1 = 2 - 3= maths
Step-by-step explanation:
yes dfuilwfjkwdlwo
Answer:
i like trains CHOOOOOO
Step-by-step explanation:
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?
Answer:
$3,000
Step-by-step explanation:
5% = .5
1,500 ÷ .5 = 3,000
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Solve the equation 3/4x + 3 -2x = -1/4+1/2x+5
If necessary: Combine Terms
Apply Properties: Add, Subtract, Multiply, Divide
Answer:
x = -1
Step-by-step explanation:
3/4x + 3 -2x = -1/4 + 1/2x + 5
3/4x + 3 -2x = 19/4 + 1/2x
3x + 12 - 8x = 19 + 2x
-5x + 12 = 19 + 2x
-5x - 2x + 12 = 19
-7x = 19 - 12
-7x = 7
x = -1
By solving the algebraic equation [tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5[/tex], x = -1.
What is algebraic equation?Algebraic equation is statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
[tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5\\\\\frac{3}{4}x-2x-\frac{1}{2}x = -\frac{1}{4}+5-3\\\\\frac{3x-8x-2x}{4} = \frac{-1+20 - 12}{4} \\\\-\frac{7x}{4} = \frac{7}{4}\\ \\ x = -1[/tex]
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Convert 4/7 to 42nds
Answer:
24... I hoped dis helped.
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
Answer:
a
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Answer:
Step-by-step explanation:
Yo when you get these kind of questions you can use desmos calculator, for the future.
Determine the solution for x^2-3x-28=\> 0
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
What is 40% of 60????
Answer: 40% of 60 = 24
please help me im dying help
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
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.
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.
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
Answer:20 men
Step-by-step explanation: