Answer:
(x - 2y)³(1 - x+ 2y)(1 + x - 2y)
Step-by-step explanation:
Given
(x - 2y)³ - [tex](x-2y)^{5}[/tex] ← factor out (x - 2y)³ from both terms
= (x - 2y)³(1 - (x - 2y)²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b) , then
1 - (x - 2y)²
= 1² - (x - 2y)²
= (1 - (x - 2y) )(1 + (x - 2y) )
= (1 - x + 2y)(1 + x - 2y)
Then
(x - 2y)³ - [tex](x-2y)^{5}[/tex]
= (x - 2y)³(1 - x + 2y)(1 + x - 2y) ← in factored form
Find the distance between the points (2,1) and (1,-1/3)
Answer:
[tex] \boxed{d = \frac{5}{3}}[/tex]
Step-by-step explanation:
[tex]given \: points \: (2,1) \: and \: (1, - \frac{1}{3}): \\ d \: = \sqrt{ (x _{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} } \\ d \: = \sqrt{ (1 - 2)^{2} +( - \frac{1}{3} - 1)^{2} } \\ d \: = \sqrt{ ( - 1)^{2} +( - \frac{4}{3})^{2} } \\d \: = \sqrt{ (1) +( \frac{16}{9}) } \\d \: = \sqrt{ 1 + \frac{16}{9} } \\d \: = \sqrt{ \frac{9}{9} + \frac{16}{9} } \\d \: = \sqrt{ \frac{25}{9} }\\d \: = \frac{\sqrt{ 25 }}{\sqrt{ 9 }} \\d \: = \frac{ 5}{3} [/tex]
Find the reciprocal of 1 1/6
Answer:
So the reciprocal of 6 is 1/6 because 6 = 6/1 and 1/6 is the inverse of 6/1.
Step-by-step explanation:
2.8 2.08 and 2.008 in order
Answer:
2.008, 2.08, 2.8
Step-by-step explanation:
You basically have to go in order of the tens, hundreths, and thousandths place. So first is the thousandths place which is the third digit after the decimal. That would be 2.008, then the one that has a hundredths place is 2.08, and then the tenths place with the 2.8
Help plz
Find (f - g) (x)
f(x) = 2x^2 – 2 and g(x) = 4x + 1
6x2
Answer:
(f - g) (x) = 2x^2 - 4x - 3
Step-by-step explanation:
(f - g) (x) = f(x) - g(x)
(f - g) (x) = 2x^2 - 2 - (4x + 1)
(f - g) (x) = 2x^2 - 2 - 4x - 1
(f - g) (x) = 2x^2 - 4x - 3
Hey! Please help i will give brainlest!!·
Answer:
7⅔ pounds to be shared 1⅓ per container.
For a clearer and swift understanding
Change them from Mixed NUMBERS to simple fractions
7⅔ = 23/3
1⅓ = 4/3
Now
We need to Fill 23/3 pounds of walnuts by 4/3 each into a container
Simply divide 23/3 by 4/3 to know how many walnuts that would enter
23/3 ÷ 4/3
23/3 x 3/4 = 23/4.
SO 23/4 CONTAINERS WOULD BE FILLED.
23/4 containers when converted to mixed numbers is
5¾.
This is our answer.
But Looking at the Question
5¾ has been broken to two fractions.
The Number that'll fill the blank space is 5.
Why? 5 + 9/12 = 23/4 which is the answer we got initially.
ANSWER = 5
Hope it helps tho.
I'm open to questions if there's any!
Have a great day!
Four out of every 5 doctors use computers.
Write the ratio of doctors who use computers to all doctors.
If 4 out of 5 doctors use computers, how many doctors out of 5 do not use computers?
Write the ratio of doctors who use computers to those who do not.
Answer:
80%
Step-by-step explanation:
in other words 80 percent of Doctors use computers and 20% do not use computers.
1-16 Please helppppp
Please help me solve this.
Step-by-step explanation:
Steps are in the picture above.
Note:if you need to ask any question please let me know.
Simplify 0.2(4.9x + 6) + 0.8(2 - 3x)
The simplified expression is -1.42x + 2.8.
How to Simplify 0.2(4.9x + 6) + 0.8(2 - 3x)Sure, let's simplify the expression step by step:
1. Distribute the coefficients to the terms inside the parentheses:
0.2 * 4.9x + 0.2 * 6 + 0.8 * 2 - 0.8 * 3x
2. Simplify each term:
0.98x + 1.2 + 1.6 - 2.4x
3. Combine like terms:
(0.98x - 2.4x) + (1.2 + 1.6)
-1.42x + 2.8
So, the simplified expression is -1.42x + 2.8.
Learn more about expression at https://brainly.com/question/723406
#SPJ3
Evaluate the expression x^2 - y^2, if x = -3, and y= 2
[tex]\\ \rm\longmapsto x^2-y^2[/tex]
[tex]\\ \rm\longmapsto (-3)^2-(2)^2[/tex]
[tex]\\ \rm\longmapsto 9-4[/tex]
[tex]\\ \rm\longmapsto 5[/tex]
Christian emptied 56 and 24 candies into 4 equal groups. How many candies were in each group
Answer: 20
Step-by-step explanation: 20x4=80. 56+24=80
Solve 1/3(2x - y) = z for x
PLEASE HELP SHOW WORK!!!!
Answer:
[tex] \frac{1}{3} (2x - y) = z \\ \frac{2}{3} x - \frac{y}{3} = z \\ \frac{2}{3} x = z + \frac{y}{3} \\ \frac{2}{3} x = \frac{3z + y}{3} \\ x = \frac{3z + y}{3} \div \frac{2}{3} \\ x = \frac{3z + y}{3} \times \frac{3}{2} = \frac{3(3z + y)}{6} \\ \\ x = \frac{3z + y}{2} \\ \\ x = \frac{3z}{2} + \frac{y}{2} [/tex]
I hope I helped you^_^
Let w 1-5 and z=2+ 4i, Find z+w
Step-by-step explanation:
w+z=1-5+2+4¡
w+z=-2+4¡
and if you mean w= 1-5¡ , z= 2+4¡
z+w= 1-5¡+2+4¡
z+w= 3-¡
help me senpai...ahhhhh...plz.... someone
Answer:
The answer is 3/3 or 1
Step-by-step explanation:
I. If pqr = 1, then 1*1*1 = 1 , so p = 1, q = 1 and r = 1
When [tex]1^{-1}[/tex] = 1
[tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex]
= [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex]
= [tex]\frac{3}{3}[/tex]
= 1
Hope that help :D
Given the value of B in the attached photo ,
1. Find the cofactor of matrix B
2. Hence, find the inverse of matrix B
Answer:
answer is in attachment
X/6 = 8 what is the answer
Answer:
x = 48
Step-by-step explanation:
Multiply both sides by 6
x = 6 * 8
x = 48
Check:
48/6 = 8
8 = 8
Answer:
[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]
Its midpoint i need help
Answer:
(3.5, 4.8)
Step-by-step explanation:
2.6 - 1.7 = 0.9, 2.6 + 0.9 = 3.5
3 - 1.2 = 1.8, 3 + 1.8 = 4.8
Answer:
[tex]thank \: you[/tex]
the larger of 2 numbers is twice the smaller number if 12 is subtracted from the larger number the result is 7 more than the smaller number
Answer:
The larger number is 4
Step-by-step explanation:
4 is the larger number and two is the smaller number..
Answer:
x=19y=38Step-by-step explanation:
Let x be the smaller number
Let y be the larger number
The larger of 2 numbers is twice the smaller number :
[tex]y = 2x[/tex]
if 12 is subtracted from the larger number the result is 7 more than the smaller number :
[tex]y-12 = 7+x[/tex]
To solve for x ;
Substitute 2x for y in the second equation
[tex]2x-12=7+x\\2x-x=7+12\\x = 19[/tex]
To solve for y
[tex]If\: y=2x ,\\y = 2\times 19\\\\y= 38[/tex]
Find the output, y, when the input, s, is – 7.
y =
y
1
8+
6+
4+
2+
个
CC
-8
-6
-4
-2
2
4
6
8
-2-
M
-4-
-6+
-8
Answer:
school:
cleaned class rooms and background
cooking equipment are laboratory tested of being germs free and also bacteria free
community: clean environment
Step-by-step explanation:
Find the sum of the finite sequence: 4, 2, 0, –2, – 4.
Answer:
The answer to this question is0
Convert 8x - 6y + 12 = 0 into Slope-Intercept Form.
Answer:
y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
8x - 6y + 12 = 0 ( subtract 8x + 12 from both sides )
- 6y = - 8x - 12 ( divide terms by - 6
y = [tex]\frac{-8}{-6}[/tex] x + 2 , that is
y = [tex]\frac{4}{3}[/tex] x + 2 ← in slope- intercept form
Solve for c.
9 = 2(c + 3) + 1
c =
Answer:
c = 1
Step-by-step explanation:
Given
9 = 2(c + 3) + 1 ← distribute parenthesis and simplify right side
9 = 2c + 6 + 1
9 = 2c + 7 ( subtract 7 from both sides )
2 = 2c ( divide both sides by 2 )
1 = c
Answer:
[tex]c = 1[/tex]
Step-by-step explanation:
[tex]9 = 2(c + 3) + 1 \\ 9 = 2c + 6 + 1 \\ 9 = 2c + 7 \\ 9 - 7 = 2c \\ 2 = 2c \\ c = \frac{2}{2} \\ c = 1[/tex]
Hope it is helpful.....a square + 7 a + 12 =A + 4
Step-by-step explanation:
[tex] {a}^{2} + 7a + 12 = a + 4 \\ {a}^{2} + 7a - a - 4 + 12 = 0 \\ {a}^{2} + 6a + 8 = 0 \\ {a}^{2} + 4a + 2a + 8 = 0 \\ a(a + 4) + 2(a + 4) = 0 \\ (a + 4)(a + 2) = 0 \\ a + 4 = 0 \: or \: a + 2 = 0 \\ a = - 4 \: or \: a = - 2[/tex]
Answer:
a = -4 or a = -2
Step-by-step explanation:
a² + 7a + 12 = a + 4
=> a² + 7a - a + 12 - 4 = 0
=> a² + 6a + 8 = 0
=> a² + 2a + 4a + 8 = 0
=> a(a + 2) + 4(a + 2) = 0
=> (a + 4)(a + 2) = 0
=> a = -4 or a = -2
(-57) x (-19) + 57
Can you explain this answer as Distributive Property? ☺️
Answer:
[tex]1140[/tex]
Step-by-step explanation:
[tex](−57)×(−19)+57 \\ =1083+57 \\ =1140[/tex]
Hope it is helpful....Answer:
1140
Step-by-step explanation:
1. you first need to distribute -57 to -19 as they are being multiplied
(-57) · (-19) + 57
(1083) + 57
2. now you remove the parenthesis and add the liked terms
1083 + 57 = 1140
hope this helps! if you have any questions, let me know!
here is a sequence of number 7, 5 ,3 ,1, - 1 find the next term in the sequence
Answer:
-3
Step-by-step explanation:
in every term we subtract 2 so
7-2=5
so in every answer subtract 2
5-2=3
3-2=1
1-2=-1
-1-2=-3
Answer:
- 3
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
5 - 7 = 3 - 5 = 1 - 3 = - 1 - 1 = - 2
Thus subtracting 2 from the last term shown gives the next term
- 1 - 2 = - 3
The GCF of two numbers is 3.
Their LCM of the two numbers is less than 20.
Which could not be the two numbers?
Answer:
Step-by-step explanation:
Let say a and b the 2 natural integers with 0 < a< b.
Since a*b=GCF(a,b)*LCM(a,b)
a*b < 3*20=60
[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]
27(1-x)(x^2+x+1)+81x(x-1)
Step-by-step explanation:
hope this may help you. have a nice day.Hi! Please see the photo, I could really use some help!
Translate to an algebraic expression.
29 more than n
Number 22 is the one I need help with plsss and ASAP
Answer:
[tex] \frac{x - 5}{3} \geqslant 2.8 \\ \\3 \times ( \frac{x - 5}{3} ) \geqslant \frac{28}{10} \times 3 \\ \\ \\ x - 5 \geqslant \frac{84}{10} \\ \frac{84}{10} = 8.4 \\ \\ x - 5 \geqslant 8.4 \\ \\ x \geqslant 13.4[/tex]