Step-by-step explanation:
8a^3 - b^3
= (2a)^3 - b^3
= (2a -b) (4a^2 + 2ab + b^2)
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 8a³-b³ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be rewritten as,
8a³ - b³
= (2a)³ - b³
It is known that x³-y³ can also be written as (x-y)(x²+xy+y²). Therefore, the above expression can be written as,
= (2a)³ - b³
= (2a - b)[(2a)² + (2a × b) + b²]
= (2a - b)(4a² + 2ab + b²)
Hence, the given expression 8a³-b³ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).
Learn more about Expression here:
https://brainly.com/question/13947055
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4 (-2×+9) = - 2 (3×-7)
Answer:
Step-by-step explanation:
4(-2x + 9) = -2(3x -7) {use distributive rule}
4*-2x + 4*9 = -2*3x - 7*(-2)
-8x + 36 = -6x + 14
Subtract 36 from both sides
-8x + 36 - 36 = -6x + 14 -36
-8x = -6x - 22
Add 6x to both sides
-8x + 6x = -6x +6x - 22
-2x = -22
Divide both sides by (-2)
-2x/-2 = -22/-2
x = 11
uhhhhhhhhhhhhhhhhhh help
Answer:
x = -1/3
Step-by-step explanation:
x -1/3 = -2/3
Add 1/3 to each side
x -1/3 + 1/3= -2/3+ 1/3
x = -1/3
Use the Pythagorean Theorem to find the missing length in the right triangle
12 cm
a
17 cm
The missing length is
cm.
(Round to one decimal place as needed.)
Answer:
it depends
Step-by-step explanation:
If 17 is the hypotenuse
[tex]c=17\\\\b=12\\\\a=?\\\\c^{2} =a^2+b^2\\\\17^2=a^2+12^2\\\\17^2-12^2=a^2\\\\(17-12)(17+12)=a^2\\\\5(27)=a^2\\\\a=\sqrt{9*3*5} \\\\a=3\sqrt{15} \\\\a=11.6[/tex]
if you are looking for the hypotenuse
[tex]a=17\\\\b=12\\\\c=?\\\\a^2+b^2=c^2\\\\17^2+12^2=c^2\\\\289+144=c^2\\\\433=c^2\\\\c=\sqrt{433} \\\\c=20.8[/tex]
PLEASE HELP ASAP IM SPENDING POINTS THAT TOOK ME SO LONG TO GET How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 2 mph
Answer:
1 1/8 hours
Step-by-step explanation:
The relationship between time and speed and distance is ...
time = distance/speed
Then Alex's time is ...
time = (2.25 mi)/(2 mi/h) = 1.125 h
It will take Alex 1 1/8 hours to walk to school at 2 mph.
Order the numbers from least to greatest.
1.3 ,-2, 1.8 , 0, -1.75
Answer:
-2 , -1.75 , 0 ,1.3 , 1.8Step-by-step explanation:
[tex]1.3 ,\:-2,\: 1.8 , \:0,\: -1.75[/tex] =
[tex]-2 , -1.75 \:, 0\: ,1.3 \:, 1.8[/tex]
A negative number is a always smaller than a positive number.
The smallest negative number among the given set of data is ; -2.
The largest positive number is 1.8
The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?
Answer:
The complex numbers have opposite real numbers.
Answer:
The Complex Numbers Have Opposite Real Parts
Step-by-step explanation:
Select the sign of inequality that will make the following statement true.
|-5| __ 0
≥
≤
=
Answer:
≥
Step-by-step explanation:
The double bar around -5 is absolute value. It means any number will turn positive
|-5| ? 0
5 ? 0
5 ≥ 0
Angad, Caroline and Sarah share some sweets in the ratio 4:2:1. Angad gets 20 sweets. How many sweets are there altogether?
Answer:
35 sweets altogether
Step-by-step explanation:
20÷4=5
5*2=10
it takes 3/5 of a gallon of paint to cover 2/3 of a wall. how many gallons is this per wall
Answer:
9/10
Step-by-step explanation:
3/5 gallon paint = 2/3 of wall
if you divide 3/2 each side then...
9/10 gallon of paint = 1 wall
Answer:
1/5 of a wall
Step-by-step explanation:
if you take 3/5 and divide it by 2/3 then you get 1/5
A rectangular plot of land measures .25 miles In width and .75 miles in length. Find the area of the plot in square feet
Answer:
1,875
Step-by-step explanation:
by the way next time use a calculator not in a mean way ^^
g Researchers studied 208 infants whose brains were temporarily deprived of oxygen due to complications at birth. When researchers detected oxygen deprivation, they randomly assigned babies to either usual care or to a whole-body cooling group. The goal was to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage. What is the response variable
Answer:
The rate of survival without brain damage
Step-by-step explanation:
The response variable (or dependent variable) is the variable that is measured and which depends on other variables. In this experiment, the researchers are investigating the impact of reducing body temperature on rate of survival without brain damage. The variable that they were 'measuring' was the rate of survival without brain damage, which depended on the variable of reducing body temperature, therefore the response variable here is the 'rate of survival without brain damage.'
Hope this helped!
Write the expression in the standard form a+b i
(8-8i) + (1+6i )= (simplify the answer)
Answer:
Step-by-step explanation:
(8 - 8i) + (1 + 6i)
8 + 1 - 8i + 6i
9 - 2i
the image is attached here.
Matt is measuring the length of bacterial cells. The first 8 cells that he measures are 3 micrometers. The next 12 cells that he measures are 2 micrometers. What is the average length in micrometers of the bacterial cells that Matt has looked at?
Will give brainliest answer
Answer:
8- ff fj hfghgggģrdvbuhgffffgbhjjhhh
Which point on the graph could represent the ratio of 2 white flowers for every 3 pink flowers that will be in one row of Molly’s garden?
Answer: It’s B
Step-by-step explanation:
I just did the quiz
Answer:
The answer would be B
Step-by-step explanation:
take a look at your question.
If you look at the x axis you can see that it is 12 but c is also that.
Now take a look at the y axis, you can see that the letter B is connected to 18.
If you remember your previous problems you would remember that that was an answer (12, 18). But for those who do not remember you can multiply 2x6(which you got your 12 from) and 3x6 ( which is where the 18 is from)
So there for you are left with the answer B.
Let me know if this helped!!! :))))
If m<2 =47°, then what is m<6? How do you know?
HELP!!! Will give brainliest!!! How do you slove a two step equation with fractions involved?
I hope that this is what you are looking for
Step-by-step explanation:
Let's take the following question as an example,
[tex]\frac{2}{3} x-\frac{1}{4} = \frac{1}{6}[/tex]
Start by adding 1/4 to both sides.
[tex]\frac{2}{3} x - \frac{1}{4} + \frac{1}{4} = \frac{1}{6} + \frac{1}{4}[/tex]
[tex]\frac{2}{3}x = \frac{1}{6}+ \frac{1}{4}[/tex]
To add both 1/6 and 1/4 together we must have a common denomitor.
The common denominator for 1/6 and 1/4 is 12
[tex]\frac{2}{3}x = (\frac{1}{6}*\frac{2}{2} ) + (\frac{1}{4}*\frac{3}{3} )[/tex]
Multiple to get the common denomiators
[tex]\frac{2}{3}x = (\frac{2}{12}) + (\frac{3}{12} )[/tex]
Now we can add the fractions.
[tex]\frac{2}{3}x = \frac{5}{12}[/tex]
To get the x by itself we can either multiple by the reciprobcal of 2/3 or multiple by 3 and then divide by 2
[tex](\frac{3}{2} )* \frac{2}{3} x = (\frac{5}{12})(\frac{3}{2})[/tex]
The left side will become x as 3/2 and 2/3 cancel each other out
[tex]x = (\frac{5}{12}) (\frac{3}{2})[/tex]
Multiple the right side to get a value for x
[tex]x = \frac{15}{24}[/tex] or [tex]x = \frac{5}{8}[/tex]
If you notice we can simplfy the fraction to 5/8
Which number line best shows how to solve −2 − (−4)?
Answer:
the answer is 2. there arwnt any number lines so
what is the answer 3x+15=8x
Answer:
x=3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
7+3*5-4*2 what is the answer
Answer:
[tex]\boxed{14}[/tex]
Step-by-step explanation:
→ Remember multiplication occurs first
[tex]7+3*5-4*2=7+15-8[/tex]
→ Simplify the remaining expression
[tex]7+15-8=22-8=14[/tex]
Write an equation for the description . The length of a rectangle is twice its width . The perimeter of the rectangle is 122 feet.
Answer:
122 = 2(2w +w)
Step-by-step explanation:
If we let w represent the width of the rectangle, then 2w is the length of it. The perimeter is twice the sum of length and width.
P = 2(L+W)
122 = 2(2w +w) . . . . an equation for the description
Liam bought pizza and wings for 27.58 how much change should liam receive if he gave the clerk three $10 bills
Answer:
$2.52
Step-by-step explanation:
i did it
how do you write five and nine tenths in standard form?
Answer:
5.9
Step-by-step explanation:
Answer:
5 9/10
Step-by-step explanation:
this is how you would write it in standard form
6+3.245
Find the sum
Answer:
9.245
Step-by-step explanation:
6 + 3.245 = 9.245
Answer: 9.245
have a nice day:) ;)
Question 3 Write each fraction as an equivalent fraction with the denominator 30. Then write the
original fractions in descending order
1/15, 5/6 , 7/10, 1/2
Answer: 5/6, 7/10, 1/2, 1/15
Step-by-step explanation:
5/6=25/30, 7/10=21/30, 1/2=15/30, 1/15=2/30
Why do I keep getting the answer: 35 11/16
Or another answer of 38 ¾
depending on if I convert the mixed number to an improper fraction of not...
what am I doing wrong???
This is the word problem:
"To find the area of a square room, Gordon must square the length of one side. The length of one side of room A is 1 ¼ yards. The length of one side of room B is 6 yards. What is the area of both rooms together?"
The correct answer is 37 ⁹/16
I did the math, and wrote the expression as: (1 ¼)² + 6². but still getting it wrong.....
also should I always convert a mixed number before using it's exponent???
Answer:
see explanation
Step-by-step explanation:
The sum of the areas of the 2 rooms is
(1 [tex]\frac{1}{4}[/tex] )² + 6² ← change the mixed number to an improper fraction
= ([tex]\frac{5}{4}[/tex] )² + 6²
= [tex]\frac{25}{16}[/tex] + 36
= 1 [tex]\frac{9}{16}[/tex] + 36
= 37 [tex]\frac{9}{16}[/tex]
please help me asap
my cashapp is $alanajackson
Answer:
uhh okay what's the question
help!! BRAINLIEST!The outside temperature at midnight today in Polina’s hometown was 18 degrees Fahrenheit. The temperature increases by 1.2 degrees Fahrenheit each hour over the next 15 hours. Polina’s school does not send students outside for recess if the outside temperature is 32 degrees Fahrenheit or lower. Recess at her school always starts on the half hour or hour. Which statement is true about recess at Polina’s school?
Only students who have recess at 11:00 a.m. or later may go outside.
Only students who have recess at 11:30 a.m. or later may go outside.
Only students who have recess at 12:00 p.m. or later may go outside.
Only students who have recess at 12:30 p.m. or later may go outside.
Answer:
Only students who have a recess at 12:00 pm or later may go outside
Step-by-step explanation:
it is 18 degrees at midnight and the temp. increases 1.2 every hour.
so 1.2 times 12 hours equal 14.4
add 14.4 to 18 drgrees equal 32.4