Which expression is a sum of cubes?
O-27ab6 +8a9b12
-9a3b6 +8810
O 9a3b6 +8a9b12
27a368 + 8a612
Answer:
[tex]-27 a^3 b^6 + 8 a^9 b^{12} [/tex]
Step-by-step explanation:
In the picture attached, the problem is shown.
A polynomial in the form x³ + y³ is called a sum of cubes
If we take the expression:
[tex]-27 a^3 b^6 + 8 a^9 b^{12} [/tex]
and take cubic root to each term, we get:
[tex] x = \sqrt[3]{-27 a^3 b^6} [/tex]
[tex] x =\sqrt[3]{-27} \sqrt[3]{a^3} \sqrt[3]{b^6}[/tex]
[tex] x = -3 a b^2[/tex]
[tex]y = \sqrt[3]{8 a^9 b^{12}} [/tex]
[tex] y =\sqrt[3]{8} \sqrt[3]{a^9} \sqrt[3]{b^{12}}[/tex]
[tex] y =2 a^3 b^4[/tex]
The other options are not sum of cubes because 9, -9, b^10 and b^8 are not a perfect cubes.
Helppppp meeeee answer thissssssss
Answer:
(-1.025)^3 x (-1.025)^2=(- 1.025)^5
(-y)^3 x (-y)^2 x (-y)= y^6
5= odd, - stays
6= even, - becomes +
Answer:
5) (-1.025)^3* (-1.025)^2 = (-1.025)^5 = (-41/40)^5
10) -y^3 * -y^2 * -y
Multiplying an odd number of negative terms makes the product negative
= - y^3 * y^2 * y
= - y^6
Solve systems of equations for x + y, please!!
6x + 2y = 30
9x - 4y = 3
Answer:
9
Step-by-step explanation:
6x + 2y = 30
9x - 4y = 3
if we double the first equation and add up to second one, we cancel 4y:
12x+9x=60+3 ⇒ 21x=63 ⇒ x=3now we can find y:
6*3+2y=30 ⇒ 2y= 30- 18 ⇒ 2y= 12 ⇒ y=6finally, x+y
x+y= 3+6= 9Evaluate the expression 3 * 5 x when x is 2.
Answer:
3 * 5x
3 * 5(2)
3 * 10
30
BRAILIEST FOR CORRECT ANSWER!! using the graph as your guide, complete the following statement. the discriminant of the function is______.
Answer:
negative
Step-by-step explanation:
Since the parabola does not cross the y axis, there are no real roots,
When there are no real roots, the discriminant is less than zero ( or negative)
Answer:
THE ANSWER IS NEGATIVE
Step-by-step explanation:
A
P
E
X
what is the surface area of a rectangle 4/3 x 5/4 x 2/3
Answer:
surface area of rectangle= 2[(l+w) +(l+h). +(w+h)]
hope it helps
Which of the following does the number line represent?
Answer:
1 or the first option going down
Step-by-step explanation:
Answer:
1st one
Step-by-step explanation:
your start point is negative three (not positive three) then usually a tip is when ur variable is first in the equation the sign will tell you which way the arrow will go
How many different 5-digit numbers can be formed with the digits 3,4,5,6, and 7, if each digit is used only once ?
Answer:
it should be either option 1 or option 3
Step-by-step explanation:
I need help! Thanks.
Answer:
A
Step-by-step explanation:
Its A because based on where the major drops and or rises in the lines it matches up to the numbers for the students. You really just got to eye it and try and level out where the two lines have the same number to see if it matches. Hopefully this was somewhat helpful lol. I'm not the best at giving explanations
soooo i need help can yall find the answer for me I put mad points so better get it right .
Answer:
1.08 * 10 ^8
Step-by-step explanation:
2.4 * 10^4 * 4.5 * 10^3
Multiply the constants
10.8
Add the exponents
10^(4+3) = 10^7
Put together
10.8 * 10 ^7
Put we can only have one number in front of the decimal
Move the decimal one place to the left and add one to the exponent
1.08 * 10 ^8
Which transformations are nonrigid transformations? Select two options. dilation reflection rotation stretch translation
Nonrigid transformations are transformations that change the side lengths or angles of a shape
The nonrigid transformations are dilation and stretch
All type of transformations are rigid transformation, except dilation.
The dilation transformation is divided into two types
StretchCompressHence, the nonrigid transformations are dilation and stretch
Read more about transformations at:
https://brainly.com/question/4289712
Answer:
A and D
Step-by-step explanation:
plz help i will give brainliest!!! 2.5(4x+10)−2(3x−15)
Answer:
4x+55
Step-by-step explanation:
Expand and simplify
10x+25x-6x+30
4x+55
Answer:
4x+55
Step-by-step explanation:
I used the PEDMAS to simplify the equation doing the parentheses first then addition and subtraction. The picture attached showed what order I did it in and I hope this really helped! Good LUCK on the rest of your homework.
pwease answer UwU ^~w~^
Answer:
I Believe The Answer To Be 21
Step-by-step explanation:
BO is 7 Making O to X 7, AC is 20 Making OC less than 27 more than 20.
Answer:
The answer 21
Step-by-step explanation:
Solve:
-3(7p + 5) = 27
Helpppp
Answer:
-2
Step-by-step explanation:
-21p - 15 = 27
-21p = 42
p = -2
Answer:
-2
Step-by-step explanation:
-21p - 15 = 27
-21p = 42
p = -2
Please help me asap please! I need all the answers please!
[tex]See Solution Below;[/tex]
[tex]A. 6m - 2 = m + 13,\\6m - m = 13 + 2,\\5m = 15,\\m = 3;\\ OneSolution[/tex] [tex]F. 18x - 5 = 3 * ( 6x - 2 ),\\18x - 5 = 18x - 6,\\18x - 18x = - 6 + 5,\\0 = - 1 ; NoSolution[/tex]
[tex]B. 4y + 9 = 4y - 7,\\4y - 4y = - 7 - 9,\\0 \neq - 16 ; NoSolution[/tex]
[tex]C. 3c + 2 = 3c + 2,\\3c - 3c = 2 - 2,\\0 = 0 ; Infinite Solution[/tex]
[tex]E. - 8j + 14 = - 2 * ( 4j - 7 ),\\- 8j + 14 = - 8j + 14,\\- 8j + 8j = 14 - 14,\\0 = 0 ; InfiniteSolution[/tex]
[tex]D. 3 * ( x - 4 ) = 2x + 6,\\3x - 12 = 2x + 6,\\3x - 2x = 6 + 12,\\x = 18 ; OneSolution[/tex]
4 of 10
EER
Jeremy wants to buy a new computer
The saleswoman says that he can make a
down payment and then pay for the
computer in installments.
Rewrite the formula to solve for the total price
of the computer.
Enter the correct answer
000
Here's a formula for this scenario:
DON
DOO
X-t-yz
X = amount down
y = money each month
z = number of months
t = total price
Answer:
foodgnfnfnfd2vefvf3vedvwf wsvwsv
Match the building block of geometry to the statement that defines it.
postulate
a visual tool representing mathematical
ideas to be interpreted
theorem
a mathematical statement proven using
postulates and definitions
definition
a mathematical statement taken as fact
diagram
a formal statement declaring the meaning of
a word
Answer:
c: a mathematical statement taken as fact diagram
Step-by-step explanation:
a mathematical statement taken as fact
diagram
This can mean what we mean when 'we say what the word means when compared to what it means when we are to use reason meaning the same word as reasoning it shows us the fatcs in an efficient way'
Postulate means reasoning in mathematics.
Postulate → Option 3
Theorem → Option 2
Definition → Option 4
Diagram → Option 1
How to arrange the blocks ?Postulate : Postulate is a mathematical statement that is taken to be true without any proof, i.e. "A mathematical statement taken as fact".
Theorem : Theorem is a statement that can be proved using some logical arguments, facts and definitions, i.e. "A mathematical statement proven using postulates and definitions".
Definition : Definition is used to describe the meaning of something, i.e. "A formal statement declaring the meaning of a word".
Diagram : Diagram is a figure which consists of various structures as per our need, i.e. "A visual tool representing mathematical ideas to be interpreted".
Learn more about Postulate, theorem, definition and diagram here :
https://brainly.com/question/16843335
#SPJ2
Soledad has a storage box. The box is 6 1/2 inches long, 4 3/4 inches wide and 7 inches tall. She wants to run a border around the top of the box. How much border does she need?
Answer:
She need 10.5 inches border
Step-by-step explanation:
Length of box =[tex]\frac{1}{2} inches[/tex]
Breadth of box =[tex]4\frac{3}{4} inches[/tex]
Breadth of box =[tex]\frac{19}{4} inches[/tex]
Height of box = 7 inches
Now we are given that Soledad wants to run a border around the top of the box.
So, Length of top = Perimeter = [tex]2(l+b)=2(\frac{1}{2}+\frac{19}{4})=10.5[/tex]
Hence She need 10.5 inches border
Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes 2 hours
longer than Juan, who picks up litter for 2 miles. If Juan spent x hours picking up litter, the following equation models
the situation
XX+2
How long did Yumi spend picking up litter?
1 hour 20 minutes
O 3 hours 20 minutes
4 hours
6 hours
its 6 hours
Answer:
6 hours
Step-by-step explanation:
Let's say that the number of hours that Yumi picked litter for is y.
You know that since Yumi picked litter for 2 hours more than Juan, y=x+2.
y=3m
x=2m
Subtract the second equation from the first:
y-x=m
Substitute:
x+2-x=m
2=m
This means that it takes 2 hours per mile of litter. Multiplying this by the 3 miles that Yumi walked makes a total of 6 hours. Hope this helps!
Answer:
D. 6 hours
Step-by-step explanation:
PLEASE SHOW YOUR WORK WITH YOUR ANSWER. Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two. How much sugar is left in each bag?
Answer:
Bag 1: 20
Bag 2: 40
Step-by-step explanation:
Let x be the amount taken out of bag 2
Then the amount left in each bag can be written as:
Bag 1: 50-3x
Bag 2: 50-x
Since we know that half of bag 2 is bag 1, that gives us:
50-3x = 1/2(50-x)
-> 50-3x = 25-x/2
Now lets isolate x and solve:
25 = 5x/2
-> 50 = 5x
-> x = 10
So plug x bag in for the original equations:
Bag 1: 50-3x = 50-3(10) = 20
Bag 2: 50-x = 50-10 = 40
1. A line passes through (9, -9) and (10,-5).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
Answer:
1. y+5=4x-40
2.y=4x-45
Step-by-step explanation:
To get the slope of a line you do y₂-y₁/x₂-x₁ so we plug in the values -9+5/9-10 and we get -4
Point-slope form states y-y₁=m(x-x₁) where m is the slope so plug in the values we get y+5=4(x-10) and you get y+5=4x-40 then turn this equation into y=mx+b and get y= 4x-45
URGENT!!!
Which equation has no solution?
A. |-x – 31 = 5
B. 2x – 11 = 0
C. 15 – 3x = -8
D. |-x + 91 = 0
Answer:
D
Step-by-step explanation:
There is no equation which have no solution.
What linear equation has no solution?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
1. 1/(x - 31) = 5
1 = 5 · (x - 31)
1 = 5 · x - 155
5 · x = 156
x = 31.2
2. 12 · x - 11 = 0
12 · x = 11
x = 11/12
3. 15 - 3 · x = - 8
3 · x = 23
x = 23/3
4. - x + 91 = 0
x = 91
Learn more about Equation here:
brainly.com/question/21107621
#SPJ7
The statement presents typing mistakes and is incomplete. Correct form is shown below:
Which equation has no solution?
A. 1/(x- 31) = 5
B. 12 · x - 11 = 0
C. 15 - 3 · x = - 8
D. - x + 91 = 0
E. Neither of all
Which is a factor of x^2-9x + 18?
Answer:
(x-6)
Step-by-step explanation:
The factor form of that trinomial is: (x-3)(x-6), so the second option listed (x-6) is the one to select
Answer:
X-6=0
Step-by-step explanation:
Because the factors are 6 and 3
help me need it now asap
Answer:
Number of half units =10; V= 1 1/4
Step-by-step explanation:
1*5/4*1/2=5/4 = 1 1/4
Which function is represented by the graph below?
Answer:
y= 2x-4
Step-by-step explanation:
The y-intercept is at -4, it is a positive slope, plotting from the y-axis rise over run is equal to 2/1 which means that the slope is 2x. giving you y= 2x-4
The equation which satisfy to the graph is Y= 2x- 4
What is an equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
According to graph
There are multiples points given on which line was passing
But we will select only which is clear
1st point = (0, 2)
2nd point = (-4,0 )
Now we will put values on equations and check which will satisfy
For 1st equation
Y= 2x- 4
Checking with 1st point
Putting x= 2
Y= 0 which satisfy
Checking for 2nd point
Putting x=0
Y = -4 satisfy
Hence, equation which satisfy to graph is Y= 2x- 4
To know more about equation here :
https://brainly.com/question/24169758
# SPJ2
PLEASE HELP ASAP, hdhehdhdhbd
Answer:
x=11
Step-by-step explanation:
5x+9=6x-2 (corresponding angles)
x=11
Arrange from smallest to largest
0.01, 1.01, 10.01, 1.001
Answer:
0.01 --> 1.001 ---> 1.01 ---> 10.01
The numbers in the ascending order:
0.01, 1.01, 1.001, 10.01.
What is ascending order?Putting numbers in ascending order simply means to do it from smallest to largest.
Given:
0.01, 1.01, 10.01, 1.001.
The numbers from smallest to largest:
That means, in the ascending order.
So,
0.01, 1.01, 1.001, 10.01.
Therefore, 0.01, 1.01, 1.001, 10.01 are in the required order.
To learn more about the ascending order;
https://brainly.com/question/20681445
#SPJ2
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?
Answer:
The Axis of symmetry shows the highest point on the line and is a vertical line at the highest point on the graph x=1.5, y=36
Step-by-step explanation:
checked on a graphing calculator
Answer:
t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
Step-by-step explanation:
HELP! ASAP! with the 2 pleasee
Answer:
8.106
Step-by-step explanation:
Use Pythagorean Theorum for this question, a^2+b^2=c^2
If you put the numbers into the equation you get 6.3^2+5.1^2=c^2.
Simplify and get 65.7=c^2
To get rid of the square, you square root both sides, which will get you 8.106=c (since the answer wants round to 3 numbers behind the decimal point)
Therefore the missing length is 8.106cm. (For estimation just write a random number you think it would be before actually solving the problem.
Answer for #2:
Right Triangle
Not Right Triangle
Not Right Triangle
Right Triangle
Not Right Triangle
Step-by-step explanation:
Just use the pythagorean thereum for each of the questions to see if the values match up
The area of the base of the cone is 64π square millimeters, and the area of the lateral surface is 112π square millimeters. Find the radius r and slant height ℓ of the cone.
Answer:
Radius = 8 mm
Slant Height = 14 mm
Step-by-step explanation:
Base of a cone is a circle.
Area of circle is given as [tex]A=\pi r^{2}[/tex]
Where [tex]r[/tex] is the radius.
Given that
[tex]A = 64 \pi\ mm^2\\\Rightarrow \pi r^{2} = 64\pi \\\Rightarrow r^{2} = 64\\\Rightarrow r = 8\ mm[/tex]
Hence, radius is 8 mm.
Formula for Lateral Surface Area of a cone:
[tex]LSA = \pi rl[/tex]
Where [tex]r[/tex] is the radius and
[tex]l[/tex] is the slant height of cone
Given that [tex]LSA = 112 \pi\ mm^2[/tex]
[tex]\Rightarrow 112\pi = \pi \times 8 \times l\\\Rightarrow 8 \times l = 112\\\Rightarrow l = 14\ mm[/tex]
Hence, slant height is 14 mm