How is the distributive property used when multiplying two binomials

Answers

Answer 1

Answer:

Step-by-step explanation:

When multiplying a binomial times a binomial, each term of the first binomial must be multiplied by each term of the second binomial. Like terms are then combined.

When multiplying two binomials, four multiplications must take place. These multiplications can occur in any order, as long as each of the first two terms is multiplied by each of the second two terms.

There are numerous ways to set up the multiplication of two binomials. The two basic formats, horizontal line-up and vertical line-up, are similar to what we saw in adding and subtracting polynomials. Let's investigate the simple product (x + 2)(x + 4) with a variety of set-ups. Start with the first term of the first binomial (the blue x).

• Distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).

• Then take the second term in the first binomial (including its sign: +2) and distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).

• Add the results, combining like terms when needed.

• This method will work with all polynomials, not just binomials times binomials.

Answer 2

Answer:

Distributive.

Step-by-step explanation:

I did the quiz.


Related Questions

A 200-seat movie theater charges $3.00 for adults and $1.50 for children. If all seats were filled and total ticket income was $510.00, how many adults and children were in the audience? ( Use reduced row-echelon form). *

Answers

Answer:

ask your math teacher i rember learning this but froget ow

Step-by-step explanation:

Write equations with j own information:

Adult + child = 200

Adult = 200 - child

3.00 Adult + 1.50 child = 510

Combine equations:

3.00(200-child) + 1.50 child = 510

Simplify:

600 -3.00 child + 1.50 child = 510

600 - 1.50 child = 510

Subtract 600 from both sides:

-1.50 child = -90

Divide both sides by -1.50

Child = -90 / -1.50

Child = 60

There were 60 child seats sold and 140 adult seats sold.

there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet

Answers

Answer:

divide the number of inches by 12

Step-by-step explanation:

1/12=x/12 then you would cross multiply it

​3√27+10 ​ What is the value of the expression?

Answers

Answer:

Exact Form:

9

3

+

10

Decimal Form:

25.58845726

Step-by-step explanation:

The table represents the temperature of a cup of coffee over time.Which model best represents the data set? exponential, because there is a relatively consistent multiplicative rate of change exponential, because there is a relatively consistent additive rate of change linear, because there is a relatively consistent multiplicative rate of change linear, because there is a relatively consistent additive rate of change

Answers

Answer:

A.   exponential, because there is a relatively consistent multiplicative rate of change

step-by-step explanation:

edge

Answer:

This question is multiple choice and the answer would be A

Step-by-step explanation:

I just took it its correct

Please please please please please please thank please please please help me please ASAP

Answers

Answer:

4

Step-by-step explanation:

3x^2 + 2(y-1)/x+y^2

3(4)^2 + 2(3-1)/4+3^2

3x16+2x2/4+9

48+4/13

52/13

4

Can someone help me find the solution or coordinates of these equations algebraically ?

y= -x^2 +4
y= 3x+4

Answers

Answer:

The solutions are (0, 4) and (-3, -5).

Step-by-step explanation:

Yes, first substitute y = 3x + 4 in the first equation:

3x + 4 = -x^2 + 4

x^2 + 3x = 0

x(x + 3) = 0

x = 0, -3

When x = 0 , y = -(0)^2 + 4 = 4 and

when x = -3 , y = -(-3)^2  + 4 = -9 + 4 = -5.

4) If z/3 = 6, what is z equal to?

Answers

Answer:

z/3 = 6

multiply both sides by 3

z/3 * 3 = 6*3

z = 18

what are the dimensions of a square with a perimeter of 48 inches

Answers

Answer:

Each side is 12 inches long. The area is 144 square inches.

Answer:

12 by 12 inches

Step-by-step explanation:

12 times 4  (congruent) sides =48

alejandro rosario or mattia polibio?

Answers

Answer:

Alejandro Rosario

Step-by-step explanation:

he is just really cute, well both of them are, but his personality seems nice.

Answer:

ale

Step-by-step explanation:

The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.

Answers

Answer:437

Step-by-step explanation:I took the test

(1/3)^3 Evaluate the expression. This question is designed to test your intelligence.

Answers

Answer:

1/27

Step-by-step explanation:

That means

1/3 * 1/3 * 1/3

1/9 * 1/3

1/27

Answer:

1/27

Step-by-step explanation:

(1/3)^3

1/3*1/3*1/3

1/27

what is the additive inverse of 129/7?

Answers

Answer:

-129/7

Step-by-step explanation:

The additive inverse of a number is what you add to a number to create the sum of zero

129/7 + x = 0

It is the opposite of 129/7

-129/7

-129/7 is the correct answer

Will Give Brainliest
Which function can be used to model the graphed geometric sequence?

f(x + 1) = Five-sixthsf(x)
f(x + 1) = Six-fifthsf(x)
f(x + 1) = Five-sixths Superscript f (x)
f(x + 1) = Six-Fifths Superscript f (x)

Answers

Answer:

f(x + 1) = Five-sixths Superscript f(x)

Step-by-step explanation:

Answer:

The answer is A. f(x + 1) = Five-sixthsf(x)

Step-by-step explanation:

Can someone help me? Thanks! :)

Answers

Answer:

75 is the length of the third side

Answer:

The unknown side to the triangle is 75 cm.

Step-by-step explanation

Let x be the length of the unknown side:

x^2 + 40^2 = 85^2

x^2 + 1600 = 7225

x^2 = 7225 - 1600

x^2 = 5625

x = 75

Which of the following is an equation?
x+y
2x – 7 = 13
3x + 5y > 9
3x + 5y - 9

Answers

2x -7=13 is an equation because it has an equal sign.

I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!

Answers

Try to find what the cost will be for 0 attendees. That’s the base cost.

So every time you add 15 people, the cost increases by 105.
At 0 people it will be 370-105=265

Answer:

D. $265

Step-by-step explanation:

The chart below shows the distribution of weeds in a yard.

A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.

A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.

Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2

Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.

Answers

Answer:

Its c,No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:

Answers

Answer:

80? bc yhu cant use solution a because it only has 35...i think

Step-by-step explanation:

if im wrong sorry

The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.

From the information given, we can set up the following equations:

Equation 1: The total amount of solution is 90 ounces, x + y = 90

Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90

Simplifying Equation 2:
0.35x + 0.80y = 36

To solve these equations, we can use substitution or elimination. Let's use the substitution method.

From Equation 1, we can express x = 90 - y and substitute it into Equation 2:

0.35(90 - y) + 0.80y = 36

31.5 - 0.35y + 0.80y = 360

45y = 4.5y = 10

Substituting y = 10 back into Equation 1:

x + 10 = 90

x = 80

Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Learn more about equations here:

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In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. Find the perimeter of PQRS.

Answers

Answer:

100 units

Step-by-step explanation:

Lengths of diagonals:

PR = 14

QS = 48

Since all 4 sides are equal in length, it's a rhombus

Length of each side:

sqrt[(14/2)² + (48/2)²]

sqrt(625)

25

Perimeter = 4 × 25

= 100

The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.

What is the perimeter of the shape?

The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. The diagonal of the rhombus intersect at a right angle. Then the side length of the rhombus is given as,

a² = (14 / 2)² + (48 / 2)²

a² = 49 + 576

a² = 625

a = 25

Then the perimeter of PQRS will be given as,

P = 4a

P = 4 x 25

P = 100 units

The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.

More about the perimeter of the shape link is given below.

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The product of (x+p)(x+q) can be written as x^2+(p+q)x+pq.
An intermediate step in this multiplication is
x^2+px+qx+pq=x^2+(p+q)x+pq.
Explain why px+qx=(p+q)x.
I'm Really confused please help!

Answers

Answer:

[tex]px+qx=(p+q)x[/tex] by taking out the common factors.

Step-by-step explanation:

It is given that the product of [tex](x+p)(x+q)[/tex] is [tex]x^2+(p+q)x+pq[/tex].

Given expression is

[tex](x+p)(x+q)[/tex]

Using distributive property, we get

[tex]x(x+q)+p(x+q)[/tex]

[tex]x(x)+q(x)+p(x)+p(q)[/tex]

[tex]x^2+qx+px+pq[/tex]

In middle terms px and qx the highest common factor is x. So taking out common factor from middle terms we get

[tex]x^2+x(q+p)+pq[/tex]

It can be written as

[tex]x^2+x(p+q)+pq[/tex]

Therefore, [tex]px+qx=(p+q)x[/tex] by taking out the common factors.

WILL MARK THE BRAINLIEST!!!!!
[only answer the 2nd and the 3rd]

Answers

Answer:

2. 120 cm^2

3. 3,750 cm^2

Step-by-step explanation:

To find the surface area of a rectangular prism, find the surface area of each side, then add them together.

2. There are two different shapes of faces on this prism (as with all rectangular prisms). One face's surface area has a measure of 4 cm by 6m. To find the surface area of that face, multiply each side length. 4 * 6 = 24. Let's call this length A.

Then, find the surface area of the other face. The other face has a measurement of 4 cm by 3 cm. 4 * 3 = 12. Let's call this length B.

Now, find the amount of each face on the prism. Length A appears 4 times: the front, back, top, and bottom are all the same shape. Length B appears 2 times: the left and right sides. Therefore, multiply length A's surface area by 4 and length B's surface area by 2.

24 * 4 =  96

12 * 2 = 24

Lastly, add both numbers together.

96 + 24 = 120

Adding the label, we get the final answer: 120 cm^2.

3. Now, apply the same steps to problem #3.

One face has a measurement of 45 cm by 25 cm. This means that the surface area of that face is 1,125 cm. Let's call this length A.

The other face has a measurement of 15 by 25. This means that the surface are of that face is 375 cm. Let's call this length B.

Length B appears 4 times, and length A appears twice. Evaluating 375 * 4, we get 1,500. Evaluating 1,125 by 2, we get 2,250.

Lastly, adding 2,250 to 1,500 and adding the label, we get the final answer: 3,750 cm^2.

Solve the equation
8/x + 3 = 1/x + 1

Answers

Answer: I got the answer of  -7/2

Step-by-step explanation:

8

x

+3=

1

x

+1

Multiply all terms by x and cancel:

8+3x=1+1x

3x+8=x+1(Simplify both sides of the equation)

3x+8−x=x+1−x(Subtract x from both sides)

2x+8=1

2x+8−8=1−8(Subtract 8 from both sides)

2x=−7

2x

2

=

−7

2

(Divide both sides by 2)

x=

−7

2

Check answers. (Plug them in to make sure they work.)

x=

−7 /2

(Works in original equation)

Answer: -7/2

Using multiplication, the equation has the solution is -7/2.

What is multiplication?

The multiplication is "the process of multiplying one number is to multiply to its certain number of times".

According to the question,

[tex]\frac{8}{x} + 3 = \frac{1}{x} +1[/tex]

[tex]\frac{(8+3x)}{x} = \frac{1+x}{x}[/tex]

8 + 3x = 1 + x        [By cancel 'x' on both denominator]

 8 - 1 = x - 3x    

   7    = -2x

   x   = - [tex]\frac{7}{2}[/tex]      

Hence, using multiplication the equation has the solution is -7/2.

Learn more about multiplication here

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PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Let ABCD be a trapezoid with bases AB and CD. Let AD=5 and BC=7, and let P be a point on side CD such that CP/PD=7/5. Let X,Y be the feet of the altitudes from P to AD, BC respectively. Show that PX=PY.

Answers

Answer:

I think you should google this because I found the answer there and i am not able to put the link here sorry :(.

Step-by-step explanation:

PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY

Answers

Answer:

no it's not a reflection

Step-by-step explanation:

a reflection would not be upside down like that, it would be the same thing rotated

Circle O has a circumference of 36 cm.
What is the length of the radius, m?
06 cm
18 cm
36 cm
72 cm

Answers

Answer:

5.73 The closest answer is probably 6

Step-by-step explanation:

Answer: The radius is 5.73 CM so the answer is A, 6.

Step-by-step explanation: The radius is equal to one half the diameter

Pi times the diameter equals the circumfrence. so we do

36/3.14/2

A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:

Exactly two balls are yellow

Answers

Answer:

1/6 is the probability. im pretty sure

Mr. Massy started baking cupcakes at 7:15 a.m. The cupcakes finished baking at 7:40 a.m. How long did it take the cupcakes to bake?

Answers

Answer:

25 minutes

Step-by-step explanation:

If the cupcakes started baking at 7:15, then it takes 25 minutes to get to 7:40.

Answer:

he took 25 min

Step-by-step explanation:

40-15 =25


MARKING BRAINLIEST
Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is
the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20

Answers

Step-by-step explanation:

Total marbles = 8 + 9 + 10 + 5 = 32.

Probability of green pencil= 8 / 32 = 1 / 4

Probability of yellow = 10 / 32 = 5 / 16

• Over-reliance on oil also increases economic unpredictability. When oil prices drop, as is presently the case, the related
decline in revenue requires cuts in public spending, which hurts growth in the non-oil sector and leads to lower public
employment
-adapted from Economic Diversification in Oil-Exporting Arab Countries, International Monetary Fund (April 2016)
Which of these statements best supports this argument?
ОА. Saudi Arabia does not export enough oil.
B. Saudi Arabia's oil supply is controlled by private corporations.
C. Saudi Arabia produces too little oil.
OD
Saudi Arabia's oil supply is controlled by the government.
Reset
Next Question

Answers

Answer:

B. Saudi Arabia's oil supply is controlled by private corporations.

Step-by-step explanation:

This is the best answer and is saying they are too reliant on other countries oils.

Answer:

B

Step-by-step explanation:

whats the missing variable in the equation:2(x+5)-7 = 3(x-2)
show work please
(20 points)

Answers

Answer:

x=9

Step-by-step explanation:

2(x+5)-7 = 3(x-2)

2x+10-7=3x-6

2x+3=3x-6

2x=3x-9

-x=-9

x=9

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