Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? (Please show simple or advance explanations - 35 points is rewarded :>)

A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)

Answers

Answer 1

The first step for factoring is 3w(x + y) - 4z(x + y). The correct option is (A).

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is as below,

3wx + 3wy - 4zx - 4zy

In order to factorize it find the common factors for the group terms such that one of the factors is common for both the groups as follows,

3wx + 3wy - 4zx - 4zy

Take (3wx + 3wy) and (- 4zx - 4zy) as two groups.

The factor form for  (3wx + 3wy) is 3w(x + y).

And, for (- 4zx - 4zy) it is -4z(x + y).

Thus, the given expression can be written as,

3wx + 3wy - 4zx - 4zy

= 3w(x + y) - 4z(x + y)

Hence, first step when factoring the given expression is 3w(x + y) - 4z(x + y).

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Related Questions

Jerome is writing a number in scientific notation. The number is greater than one million and less than ten million. What will be the exponent in the number Jerome writes?

Answers

Answer:

6 will be the exponent

Step-by-step explanation:

1 million has 6 zeros

cany anybody give me the awnser to this?

Answers

Have a look at the attached image.

Someone please help!!!!

Answers

Answer:

=

Step-by-step explanation:

quadratic values always set to 0 due to the x-intercept which you find from the equation

17. There are 147 people at a tree-planting
event. They break into groups of 3 people
to plant trees. How many groups are
formed?

Answers

Answer:

147/3=49

49 groups

Step-by-step explanation:

I need this answered

Answers

You just plug in the x into the function and solve for g(x).

4(-1) +4 = 0
4(0)+4 = 4
4(1)+4 = 8
4(2) + 4 = 12
4(3)+4 = 16
4(4)+4 = 20

g(x)=4x+4

[tex]\:\boxed{\bf{Table}}\:\:\:\\ \boxed{\begin{array}{c|c}{\boxed{\bf x}}&{\boxed{\bf{g(x)}}}\\ \sf -1 &\sf 0\\ \sf 0&\sf 4 \\ \sf 2&\sf 12 \\ \sf 3&\sf 16 \\ \sf 4 &\sf 20\end{array}}[/tex]

The probability of flipping 3 heads on 2 fair
coins would be considered:

A. Likely
B. Certain
C. Unlikely
D.impossible

Answers

Answer:

impossible? you have only 2 coins

Answer:

I'm going to assume you mean 3 fair coins. The probably would be 1/8, so unlikely.

Step-by-step explanation:

Find the binomials that created the generic rectangle below.

Answers

I think the answer is 12x* - 14x +4

here are 16 sweets in a bowl.
4 of the sweets are blackcurrant.
5 of the sweets are lemon.
7 of the sweets are orange.
unna, Ravi and Sam cach take at random one sweet from the bowl.
Jork out the probability that the 5 lemon sweets are still in the bowl.

Answers

Answer:

61/112.

Step-by-step explanation:

For 5 lemon sweets to be in the bowl the 3 taken  must be from the 4 blackcurrent and/or 7 orange sweets.

First work out the probability of having a lemon in one of the 3 picks:

Prob (Taking 3  lemons) = 5/16 * 4/15* 3/14 =  60/3360 = 1/56.

Prob (Taking 2  lemons and 1 blackcurrent) = 5/16*4/15*4/14 =  1/42

There are 3 ways of doing this so Probab) = 3/42 = 1/14.

Prob (Taking 1  lemon and 2 blackcurrent) = 5/16*4/15*3/14 = 1/56.

There are 3 ways of doing this so Prob = 3/56.

Prob (Taking 2  lemons and orange) = 5/16*4/15*7/14 = 140/3360 = 1/24.

There are 3 ways of doing this so Prob) = 3/24 = 1/8.

Prob (Taking 1  lemon and 2 orange) = 5/16*7/15*6/14 =  1/16

There are 3 ways of doing this so Prob = 3/16.

Therefore the probability of have 1 or more lemons in one of the 3 picks

= 1/56 + 1/14 + 3/56 + 1/8 + 3/16

=  51/112

and the probability of NOT having a lemon in one of the 3 picks

= 1 - 51/112

=  61/112.

(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:

a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.

Answers

Step-by-step explanation:

Use the graph to dtermine the answer for each part of question

a)

H(0) = 5

b)

H(t) = 0 has no solution as its minimum value is 5 feet

c)

The domain all positive rational numbers, since time is zero or positive.

d)

The range changes between 5 and 55 feet, according to the graph.

Answer:

a.   5 ft

b.   No - see below

c.   [0, ∞)

d.   [5, 55]

Step-by-step explanation:

From inspection of the graph:

x-axis:  t = time (in seconds)y-axis:  H(t) = height (in feet)

Part a

When H(0), t = 0  ⇒  y-intercept.

Therefore, from inspection of the graph, H(0) = 5 ft

Part b

H(t) = 0 does not have a solution as the curve never touches the y-axis (when y = 0).

Part c

Domain: set of all possible input values (x-values)

The domain is time (t) (x-axis), therefore the domain is [0, ∞)

Part d

Range: set of all possible output values (y-values)

From inspection of the graph, the lowest value of H(t) is 5 and the highest value of H(t) is 55.  Therefore, the range is [5, 55]

Find the equation of the line that passes through (-1,-3) and is perpendicular to
2y=x−3
Leave your answer in the form y=mx+c

Answers

Answer:

y = -2x - 5

Step-by-step explanation:

2y = x - 3

y = 1/2x - 3/2

gradient = 1/2

perpendicular gradient = negative reciprocal = -2

y = -2x + c

(-3) = -2(-1) + c

-3 = 2 + c

-5 = c

Answer:

y = -x/2 - 7/2

Step-by-step explanation:

Equation of the line (current) in y = mx + c

2y = x - 3y = x/2 - 3/2

The slope of a perpendicular line has to be -ve to the current line.

⇒ m' = -1/2

To find the y-intercept, take the x-coordinate to be 0 and substitute in the equation :

y - y₁ = m (x - x₁)

y + 3 = -1/2 (0 + 1) [Also using the point (-1, -3) to make sure line crosses it]

y + 3 = -1/2

y = -7/2

Therefore, the new equation is :

y = -x/2 - 7/2

How do you quarter pi

Answers

Answer:

I think its this answer I believe 0.7853982 if this is correct can u mark me brainliest

Which of the following is a rational number?

Answers

Answer:

B

Step-by-step explanation:

The square root of 100 is 10, and 10 is a rational number.

10 divided by 3.95 times 67=3?

Answers

Answer: (Decimal: x = 0.99746…)

Step-by-step explanation:  

How do you simplify the fractions 4/5 + 3/4 in lowest terms

Answers

first find common denominator by multiplying.

5•4=20

16/20+15/20=31/20=1 11/20

Answer:

31/20

Step-by-step explanation:

First we find the greatest common denominator, for 5 and 4, that is 20.

[tex]\frac{4}{5} *\frac{4}{4} +\frac{3}{4}*\frac{5}{5} = \frac{16}{20} +\frac{15}{20} = \frac{31}{20}[/tex]

Since 31/20 isn't able to be simplified because 31 is a prime number, this is your final answer.

Simplify 4 - 2m + 4m +1​

Answers

Answer: 2m+5

Step-by-step explanation:

4−2m+4m+1

Combine −2m and 4m to get 2m.

4+2m+1

Add 4 and 1 to get 5.

5+2m

Answer: 2m + 5

Step-by-step explanation:

Just do:

4 - 2m = 2m4m + 1 = 5

So, 2m + 5

Jalece and Kaylyn are making brownies and muffins for a bake sale. They make 40 more muffins than brownies. They made a total of 126 sweet items for the sale. How many of each type of baked good did they make?

Answers

I really don't know I hope you can figure it out

Answer: 43 brownies and 83 muffins.

Step-by-step explanation: There are 126 sweet items in total.  Jalece and Kaylyn make 40 more muffins than brownies, which means that there are more muffins than brownies.  Let's try 83 muffins and 43 brownies to see if it suits what we need.  With 83 muffins and 43 brownies, there are 40 more muffins than brownies, so that's correct.  83 and 43 also add up to 126, which is the total that we need.

Therefore, there are 43 brownies and 83 muffins.

Let me know if this is right! :)

I need help finding the value of x. ​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

According to given figure,

[tex]\qquad \sf  \dashrightarrow \:x + 68 = 174[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 174 - 68[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 106 \degree[/tex]

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

So:

[tex]9^2+13^2=c^2[/tex]

[tex]250 = c^2[/tex]

[tex]\sqrt{250} = \sqrt{c^2}[/tex]

[tex]c = 15.8113883[/tex]

OR (rounded)

[tex]c = 15.8[/tex]

1. Find the length of X and Y:

2. Find the area of the equilateral triangle:

Answers

Step-by-step explanation:

1)

[tex] \sin(theta) = \frac{opposite \: side}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{10} = \frac{1}{2} [/tex]

[tex] \frac{x }{1} = \frac{10}{2} [/tex]

[tex]x = 5[/tex]

In right Angles traingle

By using Pythagoras theorm

we get

x²+y²=10²

25+y²=100

y²=75

y=5√3

x=5,y=5√3

2)

Area of equilateral traingle =

[tex] \frac{ \sqrt{3} }{4} {a}^{2} [/tex]

required area

[tex] \frac{ \sqrt{3} }{4} \times {6}^{2} [/tex]

[tex] \frac{36 \sqrt{3} }{4} [/tex]

[tex]9 \sqrt{3} [/tex]

Joshua started working on his Math project at 4:25 p.m. He finished by 5:25 p.m. How many minutes did he work on his project?

A. 80 minutes

B. 70 minutes

C. 60minutes

D. 50 minutes

30. Pis does her workout for 50 minutes every day. Today, she started at 6:30 m. At what time will she finish?


A. 7:15 a.m.

B. 7:20 a.m.

C. 7:30 a.m.

D. 7:35 a.m

31. Find the circumference of a circular lot whose diameter is 9 m.

A. 25.26 m

B. 27.26 m

C. 28,26 m

D. 30.26 m

32. Find the circumstance of a circular whose radius is 30m.

A. 188.40 m

B. 188.30m

C. 188.20 m

D. 188m ​

Answers

1. C, 60 minutes
2. B, 7:20 am
3. C, 28.26m
4. A, 188.40m

The sum of the areas of two circles is 80n square meters. Find the length of a radius of each circle if
one of them is twice as long as the other.
27
GO
What is the radius of the larger circle?

Answers

Answer:

8 meters.

Step-by-step explanation:

Let the 2 radii be x and 2x, then
π x^2 + π (2x)^2 = 80π

π x^2 + π 4x^2= 80π

x^2 + 4x^2= 80

5x^2 = 80

x^2 = 16

x = 4.

So the radius of the larger circle = 2*4 = 8 m.

how to work out 4.2 × 0.03. Show the working not the answer straight! Show how you got the answer.​

Answers

Answer:

1.26

Step-by-step explanation:

To solve 4.2*0.03, you move the decimal point to the right however many times to both numbers until they are whole numbers.

Doing this, we have 420*3, which took 3 decimal point shifts, so now we do 420*3 to get 1260, and then go 3 decimal places to the left to get the actual answer.

Thus, 4.2*0.03=1.260=1.26

6. Higher Order Thinking Vincent forgot the last two digits of his bicycle lock.
He remembers that each digit is 5 greater. Based on the table below, how
many possible pairs of digits are there? Make another table to show
all possible combinations if he remembers that the first digit is 6, 8, or 9.


Help pleasee!

Answers

The number of possible combinations is an illustration of principle of counting

There are 15 possible pairs of possible combinations

How to determine the number of possible combinations?

From the question, we understand that the first digit is 6, 8 or 9.

This means that the new table would not have entries that begin with 5 or 7.

The table is then represented as:

      6       8         9

5    65     85      95

6    66     86      96

7     67     87      97

8    68     88      98

9    69     89      99

Count the number of entries

Entries = 15

Hence, there are 15 possible pairs of possible combinations

Read more about combination at:

https://brainly.com/question/11732255

I need this answered please

Answers

Answer:

54

Step-by-step explanation:

1, 3, 5, and 7, all have the same angle size: 126 so we can use this to find 6 and 8 :)

180 - 126 =54

6 and 8 would both equal 54 :)

Have a great day!!

Please rate and mark brainliest!!

it’s 54 bc of alt int angles and vertical angles and that stuff

Jabrin was tossing a ball up in the air and catching it. He found that in 50 tries, he could catch it 45 times. He is going to do this 33 more times. Predict how many times Jabrin will catch the ball out of these 33 tosses.

What is the exact prediction? What is the realistic prediction?

Answers

Answer:

As the question states, predict how many times. I don't get the "realistic" prediction part, but however,

he caught it 9/10 times. I can predict he will catch it 29.7 times, rounded to 30 times.

It took Azul 1.75 hours to bike The Blue Mountain Trail
Azul averaged 12.5 miles per hour. What is the best
estimate for the length of the trail?

Answers

We have length= speed x time
=> 1.75x12.5 = 21.875 miles
Based on your answer choices
Between 12 and 26 is the most correct answer

AnsweA jar contains 15 red​ marbles, 30 blue​ marbles, 10 green​ marbles, and 35 orange marbles. Find the probablilty of picking a green marble.r:

Step-by-step explanation:

Please Help!!
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

Answers

Answer:

cosZ = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

cosZ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12}{37}[/tex]

Cos = adj/hyp

Adj of Z = 12

Hyp of Z = 37

Cos = 12/37

hope this helps :)

Question 13 options:


What is the slope of the line of the graph?

Answers

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2)  & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

          [tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4

A circle has a diameter of length 11 cm. What is the length of the radius?

Answers

5.5 is the radius of the circle

5.5

Step-by-step explanation:

radius = diameter÷2

diameter = 11

so Length of Radius will be 11÷2

which will be 5.5

Write an equation in slope intercept form for the like with
y-intercept -4 and slope 6

Answers

Answer: y=6x-4



Step-by-step explanation: see attached.




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