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
50 km/h to miles per hour
Answers
31.069 miles per hour
Still do not understand how its work
Answers
Answer:
Step-by-step explanation:
The slope or, gradient is the rate of change of a linear function( a function which can be represented by a line). We find a slope between two arbitrary pair of points( arbitrary means what the question given us). One point we are given is (0,4) and an another point we are given is (2,1). Now we use the slope formula,
[tex]\frac{change in y }{change in x}[/tex]
So let plug in the values,
[tex]\frac{4-1}{0-2} =\frac{3}{-2} =-\frac{3}{2}[/tex]
The slope is -3/2
Shirley is going to have the exterior of her home painted Tim’s painting charges $250 plus $14 per hour colorful paints charges 22 per hour how many hours with the job need to take bottoms painting to be the better deal deal
Answers
Answer:
x=31.25
Step-by-step explanation:
250+14h=22h
250=22h-14h
250=8h
h=250/8
h=31.25
Describe and correct the error in solving the equation
Describe and correct the error in solving the equation
2(s - 5) = 2 (s + 5)
2s - 10 = 2 s - 10
2s = 2s
0 = 0
Answers
Answer:
2(s + 5) = 2s + 10, not 2s - 10
2s - 10 = 2s + 10
[tex]0 \neq 20[/tex]
Help
me
please with questions 4, 5 and 6, THANKS
Answers
Answer:
hgzzrzdjjhhgccghjvcss
hgvvghjdszschkmbc
Step-by-step explanation:
bbhjvfdseaaasrfhujklknhgcffdzsshbjkhj
hggcfgbjvcfvjjhxsgj
Help me pls I don’t understand what this means for me to do
Answers
Answer:
you said sin30 it should say that you can do it with your calculator. unless you need to do it with trigonometric relations. but sin30 should equal .5
Step-by-step explanation:
What fraction of $1,75 is 77c
Answers
Answer:
44 :
Step-by-step explanation:
77/175 = 0.44
0.44x100
what is 3 feet + 14 inches
Answers
Answer:
3.14
Step-by-step explanation:
Find the perimeter and area , pls help me on this I’ll give brain list :)
Answers
Answer:
area= x^2
perimiter= 4x
Answer:
area of square = l² = x ² cm²
perimeter of square = 4 l = 4 x cm
mark me as brainliest
Please help me with homework
Answers
2-14:
A) 3x+5y=3(3)+5(2)
=9+10
=19
B) x²+y²=3²+2²
=9+4
=13
C) -5x+9=-5(3)+9
=-15+9
=-6
D) xy-1=(2×3)-1
=6-1
=5
E) 2x²-y=2(3)²-2
=18-2
=16
F) 2y-x+5+x²-3y=2(2)-3+5+3²-3(2)
=4-3+5+9-6
=9
2-15: area=y²+xy+xy
=(y²+2xy) un²
perimeter=y+y+y++y+x+y/2+y+x+y/2
=(6y+2x) un
tìm x a)
4x^2-12x=-9
Answers
Hi
Just told you : first know by heart remarkable identities !
Then apply :
4x²-12x = -9
4x²-12x +9 =0
(2x-3)² = 0
(2x-3) (2x-3) = 0
Now you have a double solution :
2x-3 = 0
and 2x -3 = 0
I let you try !
Line Segments
Find ZX
Answers
Answer:
A:4.5
Step-by-step explanation:
all you need to do is count the spaces
Type the correct answer in each box. A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is units. The point (-7, ) lies on this circle.
Answers
Answer:
The circle has like an equation: (x+3)²+(y-2)²=r²
If x=1 then y=5 ==>(1+3)²+(5-2)²=r²==>4²+3²=r²==>r=5 (the radius)
if x=-7 then (-7+3)²+(y-2)²=25 ==> (y-2)²=25-16==>y=2+3 or y=2-3
The points (-7,5) and (-7,-1) are on the circle.
The double bar graph shows how long, on average, different
animals live both in the wild and in captivity.
Which animal's life span in captivity has the least difference from
its life span in the wild?
ears
Answers
Answer: Cheetah
Step-by-step explanation: I got it right on the test :)
The animal with the least difference is cheetah with a value of 5
From the double bar chart attached :
Life span in wild is = blue bar
Life span in wild is = blue bar Life span in captivity = brown bar
Calculating the approximate difference between the two bar values as obtained from the graph :
CHEETAH = 17 - 12 = 5
POLAR = 35 - 20 = 15
TIGER = 26 - 20 = 6
GIANT PANDA = 30 - 20 = 10
LEOPARD = 28 - 20
The animal with the least difference between it's span in the wild and in captivity is CHEETAH with a value of 5.
Learn more : https://brainly.com/question/8644324
Phân tích đa thức thành nhân tử
10xy^2-5by^2+2ax^2-abx
Answers
Step-by-step explanation:
10xy^2-5by^2+2ax^2-abx =
5y²(2x -b) + ax(2x -b) =
(5y²+ax) (2x-b)
Answer:
10xy^2
Step-by-step explanation:
10xy ^ 2-5by ^ 2 + 2ax ^ 2-abx
(10xy^2-5by^2)+(2ax^2-abx)
=5y² (2x -b) + ax (2x -b)
=( 5 y ² + ax ()2 x--b
A rectangle has a length of x and a width of 6x^3 + 3− x^2. Find the perimeter of the rectangle when the length is 5 feet
Answers
Answer:
1466 feet
Step-by-step explanation:
If length is 5 feet, x=5. The width will be 6*(5)^3+3-(5)^2=728 feet. The perimeter will be 2*(l+b)=2*733=1466 feet
I need help with this question
Answers
Answer:32 feet
Step-by-step explanation:
Three numbers are C, BC, and ADC. The digits B and C are multiples of 3. If C×BC=ADC and A+D=B, find the numbers C, BC, and ADC.
Answers
BC = 36
ADC = 216
6 x 36 = 216 and 2 + 1 = 3
YALL I NEED YOU GUYS! Please HELP me I NEED YOU,!
Answers
Answer:
b
Step-by-step explanation:
NEED THE ANSWER ASAP, PLEASE HELP!! What are the coordinates of the focus of the parabola?
y=−18x2−2x−4
Answers
Answer:
Vertex is (-8, 4) not one of the answers offered!
Step-by-step explanation:
Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.
[tex]y=-\frac{1}{8}(x^2 + 16x + \text{-----})-4[/tex]
Complete the square by squaring half the coefficient of x and adding it in the space.
[tex](\frac{16}{2})^2=64[/tex]
Add 64 in the space you made, then compensate for that at the end of the expression by subtracting [tex]-\frac{1}{8}(64)=-8[/tex]
[tex]y=-\frac{1}{8}(x^2+16x+64)-4+8\\y=-\frac{1}{8}(x+8)^2+4[/tex]
The x-coordinate of the vertex is the opposite of +8, the number inside the parentheses. The y-coordinate of the vertex is the number at the end of the expression.
V(-8, 4)
help me find x
help please
Answers
Answer:
[tex]4\sqrt{6}[/tex]
[tex]\frac{sin\left(90\right)}{x}=\:\frac{sin\left(60\right)}{\left(\frac{\left(6\cdot \:sin\left(90\right)\right)}{sin\left(45\right)}\right)}[/tex]
Step-by-step explanation:
Explanation:
Sin(theta) = opp/hyp => hyp = opp/sin(theta)
Find opp:
opp = sqrt(6^2 + 6^2)
= sqrt(72)
= 6sqrt(2)
= 6 x 1.41
Hyp(also is x) = (6 x 1.41)/Sin(60°)
= (6 x 1.41 )/0.86
= 9.83
= 10 (round up)
And 4sqrt(6) = 9.79 = 10 (round up)
Thus I concluded that x = 4sqrt(6)
can u help me with all the questions
Answers
Answer:
b) -4xy
c) a³+b³
d)4x²+16xy+16y²+3x+4y
Step-by-step explanation:
b)expand each square bracket and minus them
c)times everything in the second bracket by a and then b
d)expand the first square bracket and add it to the other bracket
X completes one round of a running track in 8 minutes and Y completes it in 6
minutes. How long will it take for both to arrive at their starting point together, if they
start at the same time and maintain their speed?
Answers
Answer: It will be 24 mins
Step-by-step explanation:
Answer:
24 minutes
Step-by-step explanation:
Have a good day
-Bradi
Seven less than a number is 15
Answers
Answer:
8 is 7 less than 15
Alexa has $300 in her bank account. Each week for 5 weeks she spends 18 dollars on things. How much money does she have after 5 weeks
Answers
18*5 =90
300-90= 210
Answer:
$210
Step-by-step explanation:
$300 - (5 x 18)
= 300 - 90
= $210
in the polynomial below.
10x + 2
Enter only the number as your answer.
What’s the term of the polynomial below ?
Answers
Answer:
Step-by-step explanation:uywegfywieflwef
efeerewer
werwer
wer
wer
werwer
tew
rt
Answer: 2
Step-by-step explanation:
2 terms
please help thank so much
Answers
Answer:
A) y = 4
B) x = 5
Step-by-step explanation:
for a), the line is horizontal. The y-value doesn't change--it stays at 4.
For b), the line is vertical. So the x-value doesn't change--it stays at 5.
In which quadrant would the point
(9.-10) be located?
a) Quadrant 1
b) Quadrant 2
c) Quadrant 3
d) Quadrant 4
Answers
Answer:
D
Step-by-step explanation:
Start with the 9. It goes to your right. It is on the plus x axis.
You are either in quad 1 or quad 4
We need the - 10 to decide which.
+ 10 would go up and that would mean quad 1
- 10 mean going down so you are in Quad 4
If B is mid point of AE and AB is 25 what is AE
Answers
Answer:
50 i think not sure what kind a question this is
Jackie has two new puppies. One weights 5 9/16 pounds, and the other weighs 6 1/4 pounds. Find the difference in their weights.
Answers
Answer:big brrrrrrd
Step-by-step explanation:
yes
Answer:
11/16 pounds
Step-by-step explanation:
The difference between their weights can be found by subtracting 6 1/4 pounds from 5 9/16 pounds to find the difference. To do this we must transfer it from 1/4 to sixteenths which is 4 sixteenths. Then we subtract.
6 4/16
- 5 9/16
11/16
brainliest please . . . uwu