Answer:
x =+-1
Step-by-step explanation:
x^3+2x^2+x=x^3-x
(x^3-2x^2)-(x-2)=x(x^2-1)
x^2(x-2)-(x-2)=x(x^2-1)
(X^2-1)(x-2)=x(x^2-1)
(x+1)(x-1)(x-2)=x(x-1)(x+1)
(x+1)(x-1) ((x-2)-x)=0
-2(x+1)(x-1)=0
x =+-1
Eight people went to a movie and three of them purchased a drink. Write an expression you could use to solve for the total cost if the tickets are $12 each and the drinks are $2.50 each.
Answer:
The expression : 12x + 2.50y
Total cost = $103.5
Step-by-step explanation:
The number of people that went to the movie = x
Number of people that bought drinks = y
Total cost = 12x + 2.50y
Eight people went to a movie and three of them purchased a drink
Total cost = 12 × 8 + 2.50 × 3
Total cost = 96 + 7.5
Total cost = $103.5
A store pays $100 for a barbecue grill and marks the price up by 7%. What is the amount
of the mark-up?
Answer:
$7
multiply .07 times 100
What classes should I take as a freshman in high school
math, science, social studies,elcteives, English,
Answer:
Depends on what you what to do in the future. But u should take math, science and english (those are the main important classes)
Step-by-step explanation:
Which of the following numbers is irrational?
A)5/8
B)2/3
C) √12
D-√36
Answer:
A) 5/8
Step-by-step explanation:
5 and 8 are irrational as a fraction
Answer:
5/8 i TOOK THE EXAM REVIEW
Step-by-step explanation:
solve the linear equation
9x-2x+6=4x+3x+11-5
Answer:
Undefined
Step-by-step explanation:
0=0
Answer:
0
Step-by-step explanation:
Combine the like terms 9x-2x = 7x
Subtract the numbers 11-5 = 6
Combine the like terms again 4x+3x = 7x
Subtract 6 from both sides of the equation 6-6 = 0 6-6 = 0
Simplify 7x = 7x
Result 0
An oatmeal cookie recipe calls for 1/2 cup of butter to make 5 dozen cookies. Wyatt needs to make 12 dozen cookies for the bake sale. How many cups of butter will he need? Enter your answer as a reduced improper fraction.
wyatt will need _____ cups of butter ?
Answer:
1 1/4
Step-by-step explanation:
For 12 dozen cookies, 5/6 cups of better are needed.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.We have a oatmeal cookie recipe that calls for 1/2 cup of butter to make 5 dozen cookies. Wyatt needs to make 12 dozen cookies for the bake sale.
1/2 cup butter is needed for 5 dozen cookies.
For 1 dozen cookies, (1/2)/5 = (1/10) cups of better are needed.
For 12 dozen cookies, 10/12 cups or 5/6 cups of better are needed.
Therefore, for 12 dozen cookies, 5/6 cups of better are needed.
To solve more questions on graphs, visit the link below -
https://brainly.com/question/28972673
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Why does no one answer my questions?
Answer:
Which one do you need help with
I need some help please
Answer:
a) -10
b) 7
Step-by-step explanation:
a) [tex]2(x + 3) = x - 4[/tex]
[tex] = > 2x + 6 = x - 4[/tex]
[tex] = > 2x - x = - 4 - 6[/tex]
[tex] = > x = - 10[/tex]
b) [tex]4(5x - 2) = 2(9x + 3)[/tex]
[tex] = > 20x -8 = 18x + 6[/tex]
[tex] = > 20x - 18x = 8 + 6[/tex]
[tex] = > 2x = 14[/tex]
[tex] = > x = \frac{14}{2} = 7[/tex]
Answer:
a)-10 b)7
Step-by-step explanation:
a)2 ( x + 3 ) = x - 4
2x+6=x-4
2x+6-x=-4
x+6=-4
x=-4-6
x=-10
b)4 ( 5 x - 2 ) = 2 ( 9 x + 3 )
20x-8=2(9x+3)
20x-8=18x+6
20x-8-18x=6
2x-8=6
2x=6+8
2x=14
x=14/2
x=7
What is the solution of the system of equations?
{3x−12y=−72x+2y=1
Answer:
i think 9
Step-by-step explanation:
i not sure34.7 divided by 4 HELP ME PLZZZZZ
Answer:
347/40
Step-by-step explanation:
34.7/4 = 34 7/10 / 4
= 347/10 / 4
= 347/40
7. If P = [5,6,7,8). Q = (2,4,6,8) and
R=2, 3, 7, 9), then P nQnR=
Answer:
pnQnR= {}
Step-by-step explanation:
there is no number common in set P, set Q and set R.
So the answer is null
{}
Answer:
{} there is no number common to the three sets so it is an empty set
Step-by-step explanation:
if f(x)= x3 -7÷2 find f-1 (x)
Answer:
The inverse of given function is
[tex]f^{-1} ( x ) = (2x+7)^{\frac{1}{3} }[/tex]
Step-by-step explanation:
Explanation:-
Given function
[tex]f(x) = \frac{x^{3}-7 }{2}[/tex]
let y = f(x)
[tex]y = f(x) = \frac{x^{3}-7 }{2}[/tex]
⇒ 2 y = x³ - 7
⇒ 2y +7 = x³
⇒ [tex]x = ( 2 y +7 )^{\frac{1}{3} }[/tex]
⇒[tex]f^{-1} ( y ) = (2y+7)^{\frac{1}{3} }[/tex]
The inverse of given function is
[tex]f^{-1} ( x ) = (2x+7)^{\frac{1}{3} }[/tex]
Use the equation below to find v, if u =21, a= 12, and t = 2.
v=utat
Step-by-step explanation:
We have v = u + at = (21) + (12)(2) = 45.
Answer:
v= 1008
v=21*2*12*2
Step-by-step explanation:
Hi. I need help with these questions (see image)
Please show workings.
Answer a and b
Answer:
see explanation
Step-by-step explanation:
Using the chain rule along with standard derivatives
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
[tex]\frac{d}{dx}[/tex] (sinx) = cosx , [tex]\frac{d}{dx}[/tex] (cosx) = - sinx
(a)
y = sin x²
[tex]\frac{dy}{dx}[/tex] = cos x² × [tex]\frac{d}{dx}[/tex] (x² )
= cos x² × 2x
= 2xcosx²
(b)
y = cos4x³
[tex]\frac{dy}{dx}[/tex] = - sin4x³ × [tex]\frac{d}{dx}[/tex] (4x³ )
= - sin4x³ × 12x²
= - 12x²sin4x³
1. Doug invested $2,500 into a Certificate of Deposit earning 6.5% interest. How long will it take to
double Doug's investment?
Answer:
Step-by-step explanation:
14.5 years
A c ompany purchased 3,128 bottles of water.Each departments needs 55 bottles.Which compatible numbers provide a better estimate for the number of departments that can get the bottles needed 3,000 divided 60 or 3,000 divided 50? Explain.Then make the estimate.
Answer:
3,000 divided 60 are the compatible numbers, and the estimate is 50.
Step-by-step explanation:
Compatible numbers can be described as numbers which are close in value to the actual numbers and can easily be added, subtracted, multiplied, or divided mentally.
From the question, 3,000 divided 60 are the compatible numbers that provide a better estimate for the number of departments that can get the bottles because 55 can be rounded up to 60.
The estimate will therefore be as follows:
Estimate = 3,000 / 60 = 50
calculate the cost of 15 articles at 1.95 each
Answer:
29.25
Step-by-step explanation:
15x1.95= 29.25
Hope this helps :)
if 1 article = 1.95
then if u want to find how much 15 articles = to
you just have to multiply 1.95 * 15 which is equal to 29.25
hope this helps
:)
A triangle has sides with lengths of 16 millimeters, 20 millimeters, and 25 millimeters. Is it a
right triangle?
Answer:
No
Step-by-step explanation:
If it is a right triangle, then the Pythagorean theorem must work.
a^2 + b^2 = c^2 (a and b are the shorter sides and c is the longest)
16^2 + 20^2 = 25^2
256 + 400 = 625
656 = 625
This is not true
Hope this helps!
What is the equation of the line whose y-intercept is 3 and slope is 1?
O y=x-3
O y=x+3
O y= 3x+1
Answer:
y = x + 3
Step-by-step explanation:
y = mx + b
m is the slope
b is the y intercept
if m = 1 and b = 3 then
y = x + 3
URGENT PLZ HELP!
Find the value of x so that the points
(x, 2) and (-5, 8) lie on a line with a slope
of -1.
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The slope formula can be useful here.
m = (y2 -y1)/(x2 -x1)
-1 = (8 -2)/(-5 -x)
5 + x = 6 . . . . . . . . multiply by (-5-x)
x = 1 . . . . . . . . subtract 5
An archeologist has found a fossilized leg bone of some unknown mammal. Based on the size of the bone, she determines that it should have contained about 100 g of carbon-14 when the animal was alive. Knowing that the half-life of carbon-14 is 5730 years, write an equation that will model how much carbon-14 is left in the bone now after "t" years.
Answer:
Therefore, required equation is N = 100 x [tex]2^{- \frac{t}{5730 }[/tex]
Step-by-step explanation:
According to the question it is given that
Amount of carbon atom when animal was alive is [tex]N_0[/tex] = 100g
Half life of C-14 is 5730 years
Let 'N' be the amount of carbon atom present after 't' time
since the differential equation of decay process of radioactive atom is
[tex]\frac{dN}{dt} = \lambda N[/tex] where, λ is the decay constant
on solving this we get
[tex]N = N_0 e^{-\lambda t}[/tex]
on further solving and substituting [tex]\lambda = \frac{ln2}{T_{1/2}}[/tex] we get
[tex]N = N_0 2^{- \frac{t}{T_{1/2}} }[/tex]
on substituting the value of [tex]N_0[/tex] = 100g and [tex]T_{1/2}[/tex] = 5730 we get
N = 100 x [tex]2^{- \frac{t}{5730 }[/tex]
The Paint Factory has 500 different colors of interior paint from which to choose. Generate an equivalent expression using prime factorization for the number 500.
a)2 x 2 x 5 x 25
b)4 x 5 x 25
c)2 x 2 x 5 x 5 x 5
please hurry
Answer:
The answer is C.
Step-by-step explanation:
The simplest form is C.
Answer:
c)2 x 2 x 5 x 5 x 5
[tex]500 \\ \frac{500}{5} = 100 \\ \frac{100}{5} = 20 \\ \frac{20}{2} = 10 \\ \frac{10}{2} = 5 \\ \frac{5}{5} = 1\\ [/tex]
Rewrite the denominators
2 x 2 x 5 x 5 x 5
PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!V
Answer:
12+12+14+15+16+18+20+23=130
130÷8=16.25
aanswer=16
you move 89 as its anomalous
too higher than the other numbers
Aisha is spending a week at her family's cottage and wants to read her favourite book, which is 400 pages long. A) If she reads one page every 36 seconds, how many hours will it take her to read her book? B) Suppose Aisha only reads from 10:15 a.M. To 2:10 p.M., and from 7:20 p.M. To 9:00 p.M. Each day, starting on Monday. On what day and at what time will she finish reading her book? C) Aisha decides to read a second book that is 350 pages in length, starting right after finishing her first book. If she continues to read at the same speed, then when will she finish her second book?
Answer:
A) 4 hours
B) 7:25 PM on the same Monday.
C) 12:10 PM on Tuesday.
Step-by-step explanation:
Given that:
Number of pages in the first book = 400
A) Time taken to read each page = 36 seconds
To find the number of hours taken to finish reading the book, we need to first find the number of seconds taken to finish reading the book.
Time taken by Aisha to finish reading 400 pages = 400 [tex]\times[/tex] 36 = 14400 seconds
3600 seconds = 1 hour
14400 seconds = [tex]\frac{1}{3600}\times 14400[/tex] hours = 4 hours
B) Reading timings of Aisha :
1st time = 10:15 AM to 2:10 PM i.e. a duration of 3 hours and 55 minutes
2nd time = 7:20 PM to 09:00 PM i.e. a duration of 1 hour and 40 minutes
4 hours are taken to read this book.
So, it will require 5 more minutes after the 1st reading time.
Therefore, Aisha will finish reading at 07:25 PM on same Monday.
C) Second book has 350 pages.
Time taken to read 350 pages = [tex]\frac{350\times 36}{3600}[/tex] = 3.5 hours
She starts reading at 07:25 PM on Monday.
Up to, 9 PM, a duration of 1 hour and 35 minutes will be utilized for reading the second book.
A total of 1 hour and 55 minutes more will be required.
Therefore, the second book reading will be finished at 12:10 PM on Tuesday.
what is the answer to 8x equals 16?
Answer: x = 2
[tex]8x=16[/tex] Original Equation
[tex]\frac{8x}{8}=\frac{16}{8}[/tex] Divide both sides by 8
[tex]x=2[/tex] Simplify
Kareem heats a beaker of water to a boil. Then he records that the water temperature decreases from 100°C to 19°C in 5 and 2/5 minutes.
What was the change in temperature each minute? Enter your answer in the box.
Answer:
Step-by-step explanation:
2/5min=24 sec
5 min=300 sec
total=324 seconds
the water decreased 100-19=81 degrees
81/324=0.25 degrees/second
the change in temperature was 0.25 degrees per second
we will multiply by 60
15 degrees per minute
work out (5 x 10^3) x (9 x 10^7)
Step-by-step explanation:
5×10³) × (9×10^7)
= 45 × 10^10
= 4.5 × 10¹¹
Answer:
(5*10^3)*(9*10^7)=4.5*10^11
Step-by-step explanation:
5*10^3=5*1000=5000
9*10^7=9*10000000=90000000
5000*90000000=5*1000*9*10000000=5*9*10000000000=45*10000000000=450000000000, or 45 with 10 0's, or 10^10
45*10^10 is not simplified, as we need a number less then 10, so we divide 10 from 45, and add 1 to the exponent, getting 4.5*10^11
A single card is drawn at random from a standard 52 card deck.
Work out the following probabilities in their simplest form:
P(8)
=
P(not 8)
=
Answer:
Step-by-step explanation:
P(8)
There are 4 eights in a standard deck (no jokers) So the probability is 4/52 = 1/13 = 0.0769
P( ~ 8)
48 cards in a standard deck are not 8
P( ~8) = 12/13 = 0.9231
Which expression is equivalent to 5(4x + 5)
Answer:
5(4x+5)=20x+25
Step-by-step explanation:
Questions related on indices. ( I need a full explanations of how the answer is found. )
Answer:
(a) m = 10
(b) n = 160
Step-by-step explanation:
To rewrite the expression in the manner indicated, write an equation that sets the given expression equal to the desired expression. Then solve for the variable value. The distributive property and the usual rules of exponents apply.
The rules of exponents you can use here are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^0 = 1
__
(a) 2^101 +2^103 = m×2^100
2^(101-100) +2^(103-100) = m × 2^(100-100) . . . . . . . multiply by 2^(-100)
2^1 +2^3 = m
2 + 8 = m
m = 10
__
(b) 2^101 +2^103 = n×4^48
2^101 +2^103 = n×(2^2)^48 . . . . . substitute 4 = 2^2
2^101 +2^103 = n×2^96 . . . . . . . . simplify
2^5 +2^7 = n . . . . . . . . . . . . . . . . . as above, multiply by 2^(-96)
32 +128 = n
n = 160
_____
Additional comment
The rules of exponents tell you that ...
(m × 2^100) × 2^-100 = m × 2^(100 -100) = m × 2^0 = m
This is effectively the same as dividing by 2^100. You're doing the same thing you would do to solve any linear equation: divide by the coefficient of the variable.