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Complete Question
Students in a pre-algebra class are given the polynomial 12x²y - 6xy +18y² and told to factor out the greatest common factor.
Which student has made the correct choice? (1 point)
a) Delia chose 3y because she said that it was a factor of every term.
b) Pedro chose y because he said that the greatest common factor can be found only by looking at the variable terms.
c) Mike chose 6y because he said that it was the largest factor of every term. d) Marisol chose 6 because she said that it was the only greatest common factor in each term.
Answer:
c) Mike chose 6y because he said that it was the largest factor of every term.
Step-by-step explanation:
Step 1
Identify the GCF of the coefficients.
12x²y - 6xy + 18y²
Coefficients are :
12, 6, 18
The Greatest Common Factor for 12, 6, 18 =
The factors of 6 are: 1, 2, 3, 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 6.
Step 2
Identify the GCF of the variables.
x²y , xy, y²
The GCF of these variables is y
Step 3
Combine to both GCF's to obtain the GCF of the expression.
= 6 × y
= 6y
The Greatest Common Factor for the expression 12x²y−6xy + 18y² is 6y
Step 4
We factorise
= 12x²y−6xy + 18y²
= 6y(2x² - x + 3y)
Therefore, Option c) Mike chose 6y because he said that it was the largest factor of every term is the correct option.
Mike is correct.
I need help with econ! please download the word file to see the pictures. Figure: Wireless Mouse Market) According to the graph showing the wireless mouse market, what is the change in producer surplus when the price increases from $10 to $15? A. $200 B. $1,000 C. $3,000 D. $800 (Figure: Market for Sandwiches) In the market for sandwiches during the lunch hour at a local deli, suppose a price ceiling is set at $4. At this price, consumer surplus is equal to ________ and producer surplus is equal to ________. A. $64; $40 B. $32; $24 C. $56; $16 D. $32; $40 E. $64; $24 Figure: Market for Sandwiches) In the market for sandwiches during the lunch hour at a local deli, suppose a price ceiling is set at $4. At this price, the deadweight loss is equal to ________ and the portion of the producer surplus transfered to the consumer is equal to ________. A. $4; $7 B. $5; $4 C. $3; $8 D. $12; $2 E. $6; $4
Answer:
ok hold on ima do it step by step
Help, please, I’m so confused
Answer:
Uhhh just do all the process corectly :)
Answer:
See Explanation
Step-by-step explanation:
While multiplying exponents with the same bases, we add the exponents.
Formula:
[tex] \huge \red{ \boxed{\bigg( {a}^{m} \bigg). \bigg( {a}^{n} \bigg) = {a}^{m + n} }} \\[/tex]
SOLUTION:
[tex] \huge \bigg( {7}^{ \frac{3}{4} } \bigg). \bigg( {7}^{ \frac{3}{4} } \bigg) \\ \huge = {7}^{ \frac{3}{4} + \frac{3}{4} } \\ \huge = {7}^{ \frac{6}{4} } \\ \huge = {7}^{ \frac{3}{2} } \\ \huge = \sqrt{ {7}^{3} } \\ \huge = 7 \sqrt{7} [/tex]
Is 39,052 divisible by 3?
Answer:
39052 ends in 2, hence it is divisible by 2. But (3+9+0+5+2) = 19, which is not divisible by 3.
Answer:
Step-by-step explanation:
to check a number is divisible by 3. add all the numbers and check whether it is divisible by 3
=3+9+5+2
=19
so it is not divisible
Slope between (2,5) (4,11)
Step-by-step explanation:
[tex]slope = \frac{11 - 5}{4 - 2} \\ = \frac{6}{2} \\ = 3[/tex]
help me for brainliest
Answer:
D = <-2, 10>Step-by-step explanation:
Domain is from x to x.
You can use a ruler to determine it:
Put ruler perpendicular to X-axis at the left end. Move the ruler slowly along X-axis to the right.
When the ruler touch the graph there the x is the beginig of the domain.
Move along to the right. When the ruler touches end of graph there the x is end of the domain.
The filled dot means < >, and the empty dot means ( ).
Which rules define the function graphed below?
y = x; y = 5
y = x + 2; y = 5
y = x; x = 5
y = x + 2; x = 5
Answer:
B) y=x+2; y=5
Step-by-step explanation:
The rules that define the graphed function are y = x + 2; y = 5
How to determine the rule of the function?The function is a piecewise function
There are two lines on the graph.
The first line has the following points
(0,2) and (3,5)
Express 2 and 5 as a sum of 2
(0,0 + 2) and (3, 3 + 2)
This means that the y value is the sum of 2 and the x value.
So, we have:
y = x + 2
The other line has a constant value of 5 for all x values
So, we have:
y = 5
Hence, the rules that define the graphed function are y = x + 2; y = 5
Read more about piecewise functions at:
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What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve. x = ±2 and x = ±3 x = ±2i and x = ±3 x = ±2 and x = ±3i x = ±2i and x = ±3i
Answer:
[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]
Step-by-step explanation:
So we have the equation:
[tex]x^4-5x^2-36=0[/tex]
Let's let u equal x² so:
[tex]u^2-5u-36=0[/tex]
Factor. We can use -9 and 4. So:
[tex]u^2+4u-9u-36=0[/tex]
From the first two terms, factor out a u.
From the last two terms, factor out a -9. So:
[tex]u(u+4)-9(u+4)=0[/tex]
Grouping:
[tex](u-9)(u+4)=0[/tex]
Zero Product Property:
[tex]u-9=0 \text{ or } u+4=0[/tex]
On the left, add 9. On the right, subtract 4:
[tex]u=9\text{ or } u=-4[/tex]
Substitute back u:
[tex]x^2=9\text{ or } x^2=-4[/tex]
Take the square root:
[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]
And we're done!
Our answer is the Second option.
Answer:
B). x = ±2i and x = ±3
Step-by-step explanation:
can someone help me find the missing side using the pythagorean theorem?
Answer:
√3
Step-by-step explanation:
(2√3)²+x²=(√15)²
(4*3)+x²=15
12+x²=15
x²=15-12
x²=3
x=√3
What is the measurement of a line?
Find the mean of 9, 1, 8, 3, 2, 1 graphically.
Answer: 4
Step-by-step explanation:
Mean means to add up the values and divide it by the number of values there is so 9 + 1 + 8 + 3 + 2 + 1 = 24, then 24 / 6 is 4.
Choose the correct expression for: 10 decreased by 3x A. 10 + 3x B. 10 - 3x C. 3.x (10) D 10/3x E. 3x - 10
Answer:
B. 10 - 3x
Step-by-step explanation:
Answer:
It is B
Step-by-step explanation:
Because if u read out the answers it would be 10 minus 3x
-9x + 12x + 10 simplifies to
Answer:
[tex] \boxed{\sf 3x + 10} [/tex]
Step-by-step explanation:
Simplify the following:
⇒-9 x + 12 x + 10
Grouping like terms:
⇒(12 x - 9 x) + 10
12 x - 9 x = 3 x:
⇒3 x + 10
Please help thank you
In the complex number a+bi, a is called the Select Answer and b is called the Select Answer
option choices
imaginary part
real part
complex part
radicand
Answer:
A is the real part and B is the imaginary part. i is an imaginary figure. b is how many imaginary figures there are, making it represent an imaginary part
There are 16 coins totaling $1.08. All 16 coins were pennies, nickels, and dimes. The number of dimes is equal to the sum of the number of pennies and the number of nickels. How many of each coin is there?
Answer:
Let the number of nickels be x
Let the number of pennies be y
Let the number of dimes be z
Now z=x+y
FIrst equation:
z+x+y=16
Subsittue for z:
x+y+x+y=16
y=8-x (subsitution)
Hope this helps :)
Step-by-step explanation:
Find the slope of the line through (2, -3) and (-4, 3).
Answer: slope m=-1
Step-by-step explanation:
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{Slope = - 1}}}}}[/tex]
Step-by-step explanation:
[tex] \tt{Let \: the \: points \: be \: A \: and \: B}[/tex]
[tex] \tt{Let \: A ( 2 , -3 ) \: be \: ( x1 , y1 ) \: and \: B ( -4 , 3 ) \: be \: ( x2 , y2)}[/tex]
[tex] \underline{ \tt{Finding \: the \: slope \: of \: the \: line}}[/tex]
[tex] \boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex] \longmapsto{ \sf{Slope = \frac{3 -( - 3)}{ - 4 - 2} }}[/tex]
[tex] \longmapsto{ \sf{Slope = \frac{3 + 3}{ - 4 - 2}}} [/tex]
[tex] \longmapsto{ \sf{Slope = \frac{6}{ -6}}} [/tex]
[tex] \longmapsto{ \boxed{ \sf{Slope = - 1}}}[/tex]
[tex] \tt{Hope \: I \: helped ! } [/tex]
[tex] \sf{Best \: regards !!}[/tex]
~TheAnimeGirl
What's the function? f(x)=2x+7
547 and 14 and 7658 - 7000 = 658 - blank = 98 -98 = 0 what is the answer
Solution :
7658 - 7000 = 658 - blank
658 = 658
So here, blank is 0.
547 - 7000 = 658 - blank
-7111 = 658 - blank
Blank = 7769
14 - 7000 = 658 - blank
- 6986 = 658 - blank
Blank = 7644
If lines Joined each given point on the graph to the origin, which points would be on lines that represent a unit rate greater than the one represented in the table? х,у 5,11 10,22 15,33
Answer
I think first 3
Step-by-step explanation:
A slope is also known as the gradient of a line. The points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
The slope of the function that the table represents is 2.2.
Also, the slope of the different points and the origin will be shown on the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.
Hence, the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.
Learn more about Slope of Line:
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Find the sum. Write the answer in simplest form. 1/4 + 1/5
Answer:
9/20
Step-by-step explanation:
Step 1:
1/4 + 1/5
Step 2:
5/20 + 4/20
Answer:
9/20
Hope This Helps :)
Answer
9/20
Step by Step
I got this by turning the 1/4 into a 5/20 and then turned the 1/5 into a 4/20 and then added from there
5/20+4/20=9/20
You have to turn the fractions denominator into the same number by finding the lowest common denominator.
solve this below. 4(3y+7)=40
Can someone help me with this question
445,473 divided by 316 = ?
Answer:
1409.724683544
Step-by-step explanation:
You could have just used a calculator lol
couldn't find science but this is a science question.
How can water affect the rock cycle?
A.Water can cause rocks to be buried deep underground.
B.Water can cause rocks to melt.
C. Water can causer rocks to break into sediments through chemical weathering.
D.Water can cause rocks to break into sediments through mechanical weathering.
Answer:
D.Water can cause rocks to break into sediments through mechanical weathering.
h(x) = x2 + 1 k(x) = x – 2 (h – k)(3) =
Answer:
3x^2 - 3x - 3
Step-by-step explanation:
Plug in the equations in place of the variables
First, subtract k(x) from h(x)
x^2+1-x-2 (combine like terms)
x^2 - x -1
Next, multiply the new equation by 3
3(x^2 - x - 1) Use distributive property
= 3x^2 - 3x - 3
-4/3(12k +27) = -57 - 9k
Answer:
k=3
Step-by-step explanation:
A stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.M. When a concert is supposed to begin?
Which ones are polygons?
Answer:
C
Step-by-step explanation:
it's a complex polygon
Answer: BCF
Step-by-step explanation:
600 ÷ 300 hey answers
Answer:
2
Step-by-step explanation:
I hope this helps you :)
Answer:
2
Step-by-step explanation:
Anything divided by 2 is half of itself. So 600 ÷ 300 would technically be 300. But in division we count the amount of times a number can go into the other number. So 600 divided by 300 is 2.
3x-4=2x+1
hello there fair mate
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
3x - 4 = 2x + 1
Step 2: Solve for x
Subtract 2x on both sides: x - 4 = 1
Add 4 on both sides: x = 5
Answer:
x=5
Step-by-step explanation:
3x-4=2x+1----> you subtract 2x on both sides---->x-4=1 -----> then add 4 on both sides and you get---> x=5. Hope it helped.
2a + 2b = c for b
Solve for b
2a + 2b = c
Subtract 2a from both sides
2b = -2a + c
Divide both sides by 2
b = -a + (c/2)