An expression is shown below.
6ab^2 + 9a^2b
Which of the following shows an equivalent expression?
Answers
Answer:
C. 3ab ( 2b + 3a )
Step-by-step explanation:
substitution
Hi! I'm happy to help!
To first solve this, Let's see if we can simplify our expressions using the order of operations: our original expression cannot be simplified. The first expression cannot be simplified. The second expression we can multiply the outside by the parenthesis by the inside, same with the third and fourth.
(make sure everything outside of the parenthesis is being multiplied by each part inside of the parenthesis)
9a²b²
9a²b²
3ab(3b+2a)
ab(9b+6a)
b(9ab+6a²)
9ab²+6a²b
3ab(2b+3a)
ab(6b+9a)
b(6ab+9a²)
6ab²+9a²b
3a²b²(2b+3a)
a²b²(6b+9a)
b²(6a²b+9a³)
6a²b³+9a³b²
Now that we have all expressions fully simplified, let's compare to see which one matches.
Our first expression is nowhere close to what our original expression is, 1 is incorrect.
Our second expression is close, but it has the 9 and the 6 flipped, even if we rearrange the expression like this, 6a²b+9ab², it still doesn't match, so 2 is also incorrect.
Our third expression has the correct numbers, variables, placement, and exponents, so 3 is correct.
Our fourth expression has incorrect exponents, the expression made every variable multiplied by ab an extra time, so 4 is incorrect.
In summary, you should pick number 3, because it is equivalent.
I hope this was helpful, keep learning! :D
Related Questions
Please can you solve this questions for me!!
It's important
Answers
15:-
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{x^5y^6}{xy^2}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^{5-1}y^{6-2}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^4y^4[/tex]
16:-
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{x^2y^5}{xy^4}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^{2-1}y^{5-4}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto xy[/tex]
17;-
[tex]\\ \qquad\quad\sf\longmapsto \left(\dfrac{4x^5y}{16xy^4}\right)^3[/tex]
[tex]\\ \qquad\quad\sf\longmapsto (4^{1-2}x^{5-1}y^{1-4})^3[/tex]
[tex]\\ \qquad\quad\sf\longmapsto (4^{-1}x^4y^{-3})^3[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 4^{-3}x^{12}y^{-9}[/tex]
18:-
[tex]\\ \qquad\quad\sf\longmapsto \left(\dfrac{5x^3y}{20xy^5}\right)^4[/tex]
[tex]\\ \qquad\quad\sf\longmapsto (4^{-1}x^{2}y^{-4})^4[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 4^{-4}x^8y^{-16}[/tex]
19:-
[tex]\\ \qquad\quad\sf\longmapsto y^{-7}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{y^7}[/tex]
20:-
[tex]\\ \qquad\quad\sf\longmapsto 7^{-2}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{7^2}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{49}[/tex]
21:-
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{x^{-5}}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^5[/tex]
22:-
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{2^{-4}}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 2^4[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 16[/tex]
23:-
[tex]\\ \qquad\quad\sf\longmapsto x^5\times x^{-1}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^{5-1}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^4[/tex]
24:-.
[tex]\\ \qquad\quad\sf\longmapsto x^{-6}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{x^6}[/tex]
25:-
[tex]\\ \qquad\quad\sf\longmapsto x^9(x^{-7})[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^{9-7}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^2[/tex]
Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
1632
0.25
0.0300300030000…
0
Answers
Answer:
0.0300300030000...
Step-by-step explanation:
An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.
1632 can be written as 3264/2
0.25 can be written as 1/4
0 could be written as 0/0
but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.
Find the quotient. Round to the hundredths place.
99.466 divided by 14.8
Answers
Answer:
6.72
Step-by-step explanation:
I multiplied both numbers by 10 to make it easier in my opinion. That made the equation 994.66 x 148
Then, I divided it until i got to the thousandths place. Lastly, i just rounded making it 6.72
If 2^10 + 2^10 = 2^x, what's x?
Answers
Answer:
11
Step-by-step explanation:
2^10 + 2^10 = 2^x
1024 + 1024 = 2^x
2,048 = 2^x
x = 11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 11[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\2^{10}+2^{10} = 2^x\\--------------\\\rightarrow 2^{10} = 1024\\\\\rightarrow 1024 + 1024 = 2^x\\\\\rightarrow 2048 = 2 ^x\\\\\rightarrow log(2^x)=log(2048)\\\\\rightarrow xlog(2)=log(2048)\\\\\rightarrow \frac{log(2)}{log(2)} =\frac{log(2048)}{log(2)}\\\\\rightarrow x = \frac{log(2048)}{log(2)}\\\\\rightarrow \boxed{x = 11}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find (fog)(x).
f(x) = -5x - 2
g(x) = -6x – 6
Write your answer as a polynomial in simplest form.
(fog)(x) =
Answers
Answer:
30x + 28
Step-by-step explanation:
To evaluate (f ￮ g)(x), substitute x = g(x) into f(x) , that is
f(g(x))
= f(- 6x - 6)
= - 5(- 6x - 6) - 2 ← distribute parenthesis and simplify
= 30x + 30 - 2
= 30x + 28
c divided by the sum of 10 and 7
Answers
Answer:
The answer would be c/17
Step-by-step explanation:
You would have to add 10 and 7 to get the sum. Then just divide whatever c is by 17.
8, 13, 18, 23 how to write out the sequence Nth term
Answers
Answer:
5n+3
Step-by-step explanation:
:)
Answer:
[tex]\alpha n=5n+3[/tex]
Step-by-step explanation:
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answers
The y-intercept of the line with equation 8x-4y=12
Answers
Answer:
y- intercept, x=0
8(0)-4y=12
y=-3
2(3m+6n) + 3(5m-2n)+ 5(-6m+n)
Answers
Answer:
[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]
open the brackets:
[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]
group the coefficients of m and n in their brackets:
[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]
then operate the brackets:
[tex] = - 9m + 11n[/tex]
Are 8x²y and -5yx2 like terms? Explain.
Answers
Answer:
In algebra, like terms are terms that have the same variables and powers. ... Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
Answer:
These are not like terms.
Step-by-step explanation:
Although their variables are the same, the exponents are different. LIke terms must have the same variables AND same exponents. The first term's variables are: x raised to the second power times y, while the other term's variables are: y times x times 2
2x ≠ x²
Solve for x please will mark brainliest
Answers
Answer:
[tex]4y + 6y = 90 \\ 10y = 90 \\ y = 9 \\ thank \: you[/tex]
Solve the compound inequality. Graph the solution
Answers
Answer: Choice B
Work Shown:
[tex]-2 \le 2x-4 < 4\\\\-2+4 \le 2x-4+4 < 4+4\ \text{ ... add 4 to all sides}\\\\2 \le 2x < 8\\\\2/2 \le 2x/2 < 8/2\ \text{ ... divide all sides by 2}\\\\1 \le x < 4\\\\[/tex]
This says that x is between 1 and 4; it can equal 1, but it can't equal 4.
To visually represent this, we'll have a closed circle at 1, an open circle at 4, with shading in between these circles. This is represented by graph B.
What is the value of n in the equation 3(4n+ 5) = -7n-23?
Answers
Answer:
n= -2
Step-by-step explanation:
3(4n+5)=-7n-23
expand brackets
12n + 15 =-7n-23
collect like terms
12n + 7n= -23-15
19n= -38
dividing throughout by 19
19n/19=-38/19
n= -2
Answer:
n = -2
Step-by-step explanation:
3(4n+5)= -7n -23
Distribute the 3,
12n + 15 = -7n -23
subtract 15 from both sides,
12n = -7n -38
add 7n to both sides,
12n + 7n = -38
simplify,
19n = -38
divide both sides by 19,
n = -2
Marcie solved the following inequality, and her work is shown below.
What mistake did Marcie make in solving the inequality? (9th grade Algebra 1)
Answers
Answer:
She didn't change the direction of the sign
Step-by-step explanation:
When dividing both sides by a negative number in an inequality, you must change the sign.
This is my question:
Answers
Answer:
48 children went to the big picnic
Step-by-step explanation:
hope that helps>3
Answer:
48 children
Step-by-step explanation:
Solve for x 3/4x + 5/4 = 4x
(9the grade Algebra 1 )
Answers
Answer:
[tex]x = \frac{5}{13} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} x + \frac{5}{4} = 4x[/tex]
[tex]3x + 5 = 16x[/tex]
[tex]3x - 16x = - 5[/tex]
[tex] - 13x = - 5[/tex]
[tex]x = \frac{5}{13} [/tex]
Jon has to pay $7.00 admission for the skating rink in $1.50 per hour to rent rollerblades. How many hours can he skate for $19?
Answers
Answer: 8 hours
Step-by-step explanation:
Given information
Admission fee = $7.00
Hour rent fee = $1.50
Number of hours = h
Total fee = $19
Set equation according to the given information
Total fee = admission fee + (hours) × (hour rend fee)
Substitute values into the equation
19 = 7 + 1.5h
Subtract 7 on both sides
19 - 7 = 7 + 1.5h - 7
12 = 1.5h
Divide 1.5 on both sides
12 / 1.5 = 1.5h / 1.5
[tex]\boxed{h=8}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the volume of the following rectangula
prism?
4
units
3
23
units
4
Answers
SORRYYYYYYYYYYYYYYY I DONT KNOWWWWW
HELP PLEASE I NEED THIS ONE!!!
If n/30 lies between 1/5 and 1/3, what are all the possible values of n if n is a whole number?
I’ll give brainliest
Answers
Answer:
7, 8, 9
Step-by-step explanation:
1/5 = 6/30
1/3 = 10/30
Graph the line y=43x+1.
Answers
Y intercept is found by substituting 0 for x. In this case you get y=1 as the y int or (0,1) for the coordinate.
The X intercept is found by substituting 0 for y, and solving for x. For this, you get x=-1/43 or (-1/43,0) as the coordinate.
You can then plot the points and draw a line connecting the points to get an idea of what the graph looks like.
Answer:
Read explanation Please (I spent alot of time on it and its important to understand where the answer came from not just the answer!)
Step-by-step explanation:
This problem is in the form of y=mx+b where m is the ratio y grows accordinly to x and b is the value of y when x is 0 (mx0 is 0, 0+b is b).
In you problem we can identify that 1 is the y intercept or when x is 0. All we have to do is find another point since 2 points make alike. Let's say x was 1. 43 * 1 +1 = 44 so when x is 1 y is 44.
Our two points are, (0,1)(1,44)
I left a picture of the graphed btw!,
Hoped this helped, Eddie
Simplify.
What is the answer?
Answers
Answer:
81[tex]y^{8}[/tex][tex]z^{4}[/tex]
Step-by-step explanation:
To graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. Where do you
come up with values to use in the graph?
T-chart using positive real numbers C. T-chart using all real numbers
b. T-chart using negative real numbers d. T-chart using random values for x and y
a.
Please select the best answer from the choices provided
OA
ОВ
D
and Guit
Submit
Answers
To graph an exponential,
d. T-chart using random values for x and y.
What is mean by graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Now,
We know an exponential function is a function in which the independent variable is the exponent.
One such function is y = eˣ
Now, To graph an exponential function you come up with values to use in the graph should be a T-chart using random values for x and y.
As it would result in graphing the complete nature of the function.
Learn more about graphs here :
brainly.com/question/2288321
#SPJ7
1. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that δABD ≌ ΔBAC.
Answers
Step-by-step explanation:
ABCD is a quadrilateral triangle,where AD=BC and <DAB =<CBA.
In ∆ABD and ∆BAC
•AD=BC. (given)
•<DAB=<CBA (given)
•AB=BA. (common side)
Therefore, ∆ABD ≌ ΔBAC. {SAS congruence rule}
How many solutions does the following equation have? 7 x - 5(2x - 4) - 8 = 15 - (3 - x) - 4x
a. no solution
b. exactly one solution
c. at least two solutions
d. infinitely many solutions
Answers
Answer:
no soultion
Step-by-step explanation:
did on paper
Answer:
exactly one solution
Step-by-step explanation:
got it right on khan lol
The graph of y = 2x + 1 is:
True or False
Answers
False
Step-by-step explanation:
We can already see that the y-intercept doesn’t matches with the inequality.
Therefore, it is false
Answer:
False
Step-by-step explanation:
If the graph represented y = 2x + 1, then the y-intercept would be 1. The slope is correct(-ish), the y-intercept is not.
help pls its ez :))))))))))))))))
Answers
Answer:
Yes
Step-by-step explanation:
6 × 18.75 = 112.50
8 × 18.75 = 150.00
11 × 18.75 = 206.25
Expand and simplify 5)3x+2)-2(4x-1)
Answers
Answer:
It is 7x + 12
Step-by-step explanation:
[tex]5(3x + 2) - 2(4x - 1)[/tex]
open brackets:
[tex] = 15x + 10 - 8x + 2[/tex]
group like terms together:
[tex] = (15x - 8x) + (10 + 2)[/tex]
factorise out x :
[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]
>
→
PQ and RS are in the same plane and do not intersect. What geometric term describes PQ and RS?
perpendicular lines
complementary lines
skew lines
parallel lines
Answers
Answer:
Parallel lines
Step-by-step explanation:
help please!!
angle 1 + angle 2 = ?
angle 7 + angle 8 = ?
angle 1 + angle 6 = ?
Answers
Answer:
angle 1 + angle 2 = ∠DEB
angle 7 + angle 8 = ∠NEG
angle 1 + angle 6 = ∠NEA
