Answer:
Step-by-step explanation:
Step by step solution :
STEP
1
:
5
Simplify —
9
Equation at the end of step
1
:
5
((9 • (x2)) - 6x) + — = 0
9
STEP
2
:
Equation at the end of step
2
:
5
(32x2 - 6x) + — = 0
9
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 9 as the denominator :
9x2 - 6x (9x2 - 6x) • 9
9x2 - 6x = ———————— = ——————————————
1 9
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
9x2 - 6x = 3x • (3x - 2)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3x • (3x-2) • 9 + 5 81x2 - 54x + 5
——————————————————— = ——————————————
9 9
Trying to factor by splitting the middle term
4.3 Factoring 81x2 - 54x + 5
The first term is, 81x2 its coefficient is 81 .
The middle term is, -54x its coefficient is -54 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 81 • 5 = 405
Step-2 : Find two factors of 405 whose sum equals the coefficient of the middle term, which is -54 .
-405 + -1 = -406
-135 + -3 = -138
-81 + -5 = -86
-45 + -9 = -54 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -45 and -9
81x2 - 45x - 9x - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
9x • (9x-5)
Add up the last 2 terms, pulling out common factors :
1 • (9x-5)
Step-5 : Add up the four terms of step 4 :
(9x-1) • (9x-5)
Which is the desired factorization
Equation at the end of step
4
:
(9x - 5) • (9x - 1)
——————————————————— = 0
9
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
(9x-5)•(9x-1)
————————————— • 9 = 0 • 9
9
Now, on the left hand side, the 9 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
(9x-5) • (9x-1) = 0
Theory - Roots of a product :
5.2 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
5.3 Solve : 9x-5 = 0
Add 5 to both sides of the equation :
9x = 5
Divide both sides of the equation by 9:
x = 5/9 = 0.556
Solving a Single Variable Equation:
5.4 Solve : 9x-1 = 0
Add 1 to both sides of the equation :
9x = 1
Divide both sides of the equation by 9:
x = 1/9 = 0.111
Supplement : Solving Quadratic Equation Directly
Solving 81x2-54x+5 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
is 17/14 irrational ……………………..
Answer:
no it is rational
Step-by-step explanation:
Answer:
no, it isn't intist
Step-by-step explanation:
since there are two number with no common factorsfactorsfactorsfactorsfactors
How do you convert -18/4 into a decimal
Answer:
-4/5
Step-by-step explanation:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.
The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left.
Answer: -4.5
Step-by-step explanation:
-18/4 is the same as -9/2
we can get rid of the negative for now and just think about 9/2
then do 9 divided by 2.
2 divides into 9 four times, with remainder 1
2 divides into 1.0 0.5 times
you'll get 9/2 = 4 + 0.5 = 4.5
bring the negative back in, so..
-18/4 = -4.5
A boat is 200 feet from shore. The angle its line of sight makes with pier A relative to the shoreline is . The angle its line of sight makes with pier B relative to the shoreline is . How far is pier A from pier B rounded to the nearest foot? Pier A is 339 ft from pier B. answer above^
The distance between two points is the number of units between them.
The distance between pier A and pier B is 339 ft
How to calculate the distance between pier A and pier BFrom the complete question, we have the following sine equation
[tex]\frac{a}{\sin(A)} = \frac{b}{\sin(B)}[/tex]
So, the equation becomes
[tex]\frac{200}{\sin(27)} = \frac{b}{\sin(50)}[/tex]
Evaluate the sine ratios
[tex]\frac{200}{0.4540} = \frac{b}{0.7693}[/tex]
Evaluate the quotient
[tex]440.53 = \frac{b}{0.7693}[/tex]
Make b the subject
[tex]b = 440.53 * 0.7693[/tex]
[tex]b = 339[/tex]
Hence, pier A is 339 feet from pier B
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Answer:
339 ft
Step-by-step explanation:
took the test
Please help me with the following problem:
3 1/3 × 2 1/8
Thank you!
Answer:
85/12 (or) 7 1/12
[tex]\frac{85}{12} (or) 7\frac{1}{12}[/tex]
7.083 repeating
Write how you could find 15% of 40 using mental math
Step-by-step explanation:
There's a really simple way to do this:
1. Equation: 15/100 * 40
2. Solve: And the answer you get is 6!
Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian. The table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude. A 2-row table with 9 columns. The first row is labeled latitude (degrees North) with entries 42, 45, 39, 35, 32, 41, 40, 33, 30. The second row is labeled high temperature (degrees Fahrenheit) with entries 53, 51, 67, 63, 70, 58, 61, 67, 72. Which statement describes the slope of the line of best fit for the data? The temperature decreases by about 0. 9° for each 1 degree increase north in latitude. The temperature decreases by about 1. 7° for each 1 degree increase north in latitude. The temperature increases by about 0. 8° for each 1 degree increase north in latitude. The temperature increases by about 1. 3° for each 1 degree increase north in latitude.
The temperature decreases by about 1.7° for each 1-degree increase north in latitude.
Given
Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian.
The table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude.
The first row is labeled latitude (degrees North) with entries 42, 45, 39, 35, 32, 41, 40, 33, 30.
The second row is labeled high temperature (degrees Fahrenheit) with entries 53, 51, 67, 63, 70, 58, 61, 67, 72.
What is the slope of the line?The slope of a line in the two-dimensional Cartesian coordinate plane is usually represented by the letter m, and it is sometimes called the rate of change between two points.
Latitude and longitude are a system of lines used to describe the location of any place on Earth. Lines of latitude run in an east-west direction across Earth. Lines of longitude run in a north-south direction. Although these are only imaginary lines, they appear on maps and globes as if they actually existed.Hence, the temperature decreases by about 1.7° for each 1-degree increase north in latitude.
To know more about the Slope of the line click the link given below.
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Answer:
b
Step-by-step explanation:
edge 2022
Please help me with this problem, show your work.
Answer:
4x³ - 29x² + 11x -1
Step-by-step explanation:
( 4x - 1) ( x² - 7x + 1 )
4x³ - 28x² + 4x - x² + 7x -1
4x³ - 29x² + 11x -1
If Radha travels 720 km with 9 litres of petrol, how much can she travel on 1 litre of petrol?
Answer: Radha travels 80Km with 1 liter of petrol
Step-by-step explanation:
720÷9=80
Which Equation matches the graph provided?
Answer:
the answer is b
Step-by-step explanation:
Answer:
60;
Step-by-step explanation:
it's solverable by making something soulfulness solution so you have to kuoioty 6 Times 11 makin 71 times that by the card elected.
In an animal shelter, there are 5 dogs for every 20 cats. Which rate best represents the relationship between dogs and cats?
Answer:
Ratio is 1:4 or 1 dog for 4 cat
Step-by-step explanation:
Data :
Dogs = 5
Cats = 20
To find ratio
20/ 5 = 4
S0
Relationship is 1:4
Valentine's day is coming, so Brett wants to buy candy for his gf. He buys a box of 20 chocolates from her favorite candy store for 24.80. How much does each chocolate cost?
Answer:
the answer is 1.24 (my answer need to be 20 characters long so I'm adding this)
Max practices the piano and the guitar for a total of 150 minutes every day. He practices the guitar for 80 minutes longer than he practices the piano.Part A: Write a pair of linear equations to show the relationship between the number of minutes Max practices the guitar (x) and the number of minutes he practices the piano (y) every day.
Answer:
x + y = 150
x = 80 + y
Step-by-step explanation:
x (guitar) + y (piano) = total 150 min
x (guitar) = 80 min + y (piano)
In a fruit bowl, there are 8 apples, 2 bananas, and 4 pineapples. What is the ratio of pineapples to bananas? Reduce if necessary.
Answer:
2:1
Step-by-step explanation:
4 pineapples, 2 bananas
4:2
2:1 (If reduced)
Kevin has 2 apples and john took 1 how much apples does kevin have
Answer:
answer is 1
Step-by-step explanation:
2-1=1
Please answer !!!!!!!!!!!!
please please help i found 85.5 but the result is wrong
Answer:
(10 × 6) + ((14 - 10)×6)/2 + 3 × (6/2)^2= 99
0.1 x 1.6 decimals xd
what is 20-17.16 because im confused
Answer:
2.84
Step-by-step explanation:
20.00 - 17.16 : If you think of it with zeros it might help
2.84 when solved
Answer:
[tex]20 - 17.16[/tex]
[tex] = 2.84[/tex]
hope it helps you
make me brainliest if u r satisfied
2. A scatter plot of data showing the percentage of total Internet users who visit a video sharing Web site on a given day in I December includes the points (2010, 17.0) and (2008, 0.3). Write the slope-intercept form of an equation for the line of fit.
please hurry i need this by tommorow
Answer:
equation : y = 8.35x - 16766.5
Explanation:
Given coordinates: (2010, 17.0) , (2008, 0.3)
To find slope: ( y2 - y1 ) / ( x2 - x1 )
: ( 0.3 - 17 ) / ( 2008 - 2010 )
: -16.7 / -2
: 8.35 .................this is the slope, m
using the formula: y - y1 = m ( x - x1 ) ............... to find equation
: y - 17 = 8.35 ( x - 2010 )
: y = 8.35x - 16766.5
What percent of 64 is 4?
1/16%
6 1/4%
62 1/2%
625%
Answer:
6 1/4%Step-by-step explanation:
64 × x/100 = 4=> 64x/100 = 4=> 16x/100 = 1=> 16x = 100=> x = 100/16=> x = 25/4=> x = 6.25% = 6 1/4%Looking at the options, 6 1/4 is matching Option B.
Option B is correct.
[tex]6\frac{1}{4}[/tex]% percent of 64 is equals to 4.
What is percentage?"Percentage of any number is defined as the hundredth part of a given number. It is represented by symbol %."
According to the question,
x represents the required percentage
x% of 64 = 4
⇒(x / 100) × 64 = 4
⇒x = (4 × 100) /64
⇒ x= 25 / 4
⇒ x = [tex]6\frac{1}{4}[/tex] %
Hence, [tex]6\frac{1}{4}[/tex]% percent of 64 is equals to 4.
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What percent of 108 is 89?
82.4%
O 0.66%
O 121.3%
O 152.4%
Neil will pay 1/3 of a restaurant bill that is $72 including tax he decides to tip 20% on the amount he pays for the bill what is the total amount Neil will pay.Show your work
Answer:
Neil pays 1/3 of the total bill, which is 1/3 * 72 or 24. He then tips 20% of that which is 24 * 0.2 or 4.80. So in all he paid
24+4.80 or 28.80
PLEASE HELP DUE IN 20!! thank u
Answer:
-27
Step-by-step explanation:
I maybe wrong or right. Well, t(n) adds up to -7, -17, so i think -27. hopes this helps.
Solve the simultaneous equations
3x – y = 12
x +y = – 4
D =
y =
N
Answer:
x+y=-4=y=-x-4
3x-(-x-4)=12
4x-4=12
4x=16
x=4
4+y=-4
y=-4
solution
(4,-4)
690th QUESTION LETS GOOO!!!
Hope This Helps!!!
Answer:
x is 2 and y is -6
Step-by-step explanation:
3x-y=12
x+y=-4
Adding both equations to eliminate y
4x=8
x=2
Substituting
2+y=-4
y=-6
x is 2 and y is -6
Proving that this answer is correct:
Substituting x is 2 and y is -6
3*2-(-6)=12 6+6=12 12=12 True
2-6=-4 -4=-4 True
Therefore, x is 2 and y is -6
8-10-((-2) +(-5) - 3-(-4))
Answer:
[tex]8 - 10 - (( - 2) + ( - 5) - 3 - ( - 4))[/tex]
[tex]8 - 10 - ( - 2 - 5 - 3 + 4)[/tex]
[tex]8 - 10 - ( - 10 + 4)[/tex]
[tex]8 - 10 - ( - 6)[/tex]
[tex]8 - 10 + 6[/tex]
[tex]14 - 10[/tex]
[tex]4[/tex]
Hope it helps you :)
In Missy's sports card collection, 3/4 of the cards are baseball cards. In Frank's collection, 8/12 are baseball cards. Frank says they have the same fraction of baseball cards. Is he correct?
Answer: No he is incorrect because Missy's collection has more.
Step-by-step explanation:
the radius of a circle is doubled. a . how does the circumference change? b. How does the area change?
Let's say the original radius was "r", so the circumference is 2πr and the area is πr².
Now when you double the radius, the you get a new circle with radius 2r, circumference 2π(2r) = 4πr, and area π(2r)² = 4πr².
I need help with problem 7
Answer: The triangles are not congruent
Step-by-step explanation:
Because the two triangles have 3 congruent angles, and AAA is not a triangle congruency theorem or postulate, the triangles are not congruent.
I hope this helps!
If triangles above be ABC and DEF
<A=<D<B=<E<C=<FThree angles are equal.
Hence ∆ABC[tex]\cong[/tex]∆DEF(AAA congruency)Toby picks a 4-digit number. It is larger than 3999 and it is a multiple of 2. How many different numbers could he have picked?
Answer:
Step-by-step explanation:
Let’s reduce this question into easier terminology.
The number is a multiple of 2, meaning it is an even number. It is larger than 2,999 and less than 10,000 (since it is a 4 digit number).
Thus, Toby could have picked any even number from 3000 to 9,999. So this question is asking how many even numbers (multiples of 2) are between 3000 and 9,999.
For every thousand, there are 1000/2 = 500 multiples of 2:
500 multiples between 3,000 and 3,999
500 multiples between 4,000 and 4,999
and so on until 9,999. So there are
7*500 = 3500 multiples of 2 in this range.
Toby could have picked 3500 possible numbers.
Question#10 will give brainliest!
Answer:
B. isolate the [tex]x^{2}[/tex] by using inverse operations.
Step-by-step explanation:
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Answer:
hi this is my alt, the answer is b
Step-by-step explanation:
