Explain please and give detail

Part A

Like with any other rectangle, we multiply the length and width to get the area

This applies even when we have algebraic expressions like this (recall that x is simply a placeholder for a number).

So,

area = length*width

area = (4x+5)*(3x+10)

area = w(3x+10) ..... replace (4x+5) with the variable w

area = 3xw + 10w ..... distribute

area = 3x(4x+5)+10(4x+5) .... plug in w = 4x+5

area = 3x*4x+3x*5 + 10*4x+10*5 .... distribute again

area = 12x^2+15x + 40x+50

area = 12x^2+55x+50

Answer: 12x^2+55x+50

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Part B

The degree of any single variable polynomial is the largest exponent. In this case, the largest exponent is 2. This 2nd degree polynomial is considered a quadratic. Because we have three terms, this quadratic polynomial is also a trinomial. So there are many ways to describe the result of part A. Possibly the quickest way to describe it is to say "quadratic trinomial" to say all that has been mentioned in this paragraph.

Answers:

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Part C

The concept of closure is the idea of taking two objects of the same type, applying some operation to them, and getting an output object of the same type.

Admittedly that last paragraph is a bit vague so I'll go over a few examples.

A non-example would be dividing whole numbers. Something like 10/2 = 5 is a whole number but 10/3 = 3.33 is not. This shows that integers are not closed under division. We don't always get a whole number output.

With polynomials, multiplying any two of them will result in some other polynomial. It's basically using the two examples in the bullet points and building upon them. That's the short version of why polynomials are closed under multiplication.

For this particular problem, (4x+5), (3x+10), and 12x^2+55x+50 are all polynomials.  

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In terms of notation,

polynomialA * polynomialB = polynomialC

This notation hopefully shows that multiplying any two polynomials leads to another polynomial.

Refer to this previous problem I answered

https://brainly.com/question/24065851

Specifically, the top of part C talking about a coin machine should hopefully help if any of the concepts here don't make sense. If neither this current page nor the link helps, then let me know and I'll try to rephrase things another way.

Answer:

3 < x < 8

Step-by-step explanation:

Solve each part separately

2x - 1 > 5 ( add 1 to both sides )

2x > 6 ( divide both sides by 2 )

x > 3 , that is

3 < x

and

3x - 5 < 19 ( add 5 to both sides )

3x < 24 ( divide both sides by 3 )

x < 8

Then putting the two together

3 < x < 8

Answer:

A 5,5

Step-by-step explanation:

5 <_ 25 - 20 +2

5 <_ 7

hope this helps

Answer:

y < -2

Step-by-step explanation:

7 - 6y > 19

Subtract 7 from each side

7-7 - 6y > 19-7

-6y > 12

Divide each side by -6. remembering to flip the inequality

-6y/-6 < 12/-6

y < -2

It does equal to +3

explanation = -(-3) = -1×(-3) = +3

When you multiply two negative numbers it turns out positive

Answer:

[tex] \frac{ \sqrt{2} }{4} [/tex]

Step-by-step explanation:

attached

The image of (-9,-5) after a reflection over the line y = -x is (5, 9) after applying the geometric transformation.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The coordinate of the point: (-9, -5)

The reflection line: = y = -x

The transformation rule:

(x, y) → (-y, -x)

The image of (-9,-5) after a reflection over the line y = -x is (5,9).

Thus, the image of (-9,-5) after a reflection over the line y = -x is (5, 9) after applying the geometric transformation.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

Answer:

60×8 = 480 + 140 = 620

80×8 = 640

Answer:

16, 8, 36

Step-by-step explanation:

To solve for x for the first answer, multiply 4 by y

[tex]y = \frac{x}{4} \\\\y (4) = x\\\\x = 4(4)\\ x= 16[/tex]

To solve for x for the second answer, multiply 2 by y

[tex]y = \frac{x}{4} \\\\y (4) = x\\\\x = 2(4)\\ x= 8[/tex]

To solve for x for the third answer, multiply 9 by y

[tex]y = \frac{x}{4} \\\\y (4) = x\\\\x = 9(4)\\ x= 36[/tex]

Answer:

The paper is not clear :(

Step-by-step explanation:

Answer:

sandra had 19 apples left

Step-by-step explanation:

17+7=24

that means that sandra had 27 apples because she had 3 more apples

27-8=19

Answer:

9=x

Step-by-step explanation:

23=x+14

23 - 14=x

9=x

Answer:

x=9

Step-by-step explanation:

23=x+14

x+14=23

   x =23-14

    x=9

Answer:

24

Step-by-step explanation:

The value of the 20th term in this sequence will be 102

Since we are given f(n)=6n−18.

In this case, we have been given n to be 20. Therefore, f(n)=6n−18 will then be written as:

f(n)=6n−18

f(20) = 6(20) - 18

f(20) = 120 - 18

f(20) = 102

In conclusion, value of the 20th term in this sequence will be 102

Read related link on:

https://brainly.com/question/12246947

Answer:

102

Step-by-step explanation:

thats the answer ....

Hope it a right answer for you

Answer:

Removing the number 7 wont change the median nor the range

Answer:

[tex]3 {x}^{2} y - {y}^{2} [/tex]

[tex]y(3 {x}^{2} - y)[/tex]

is the answer

Answer:

[tex]3x {}^{2}y - y {}^{2} \\ 3x {}^{2} - \frac{y {}^{2} }{y} \\ 3x {}^{2} - y[/tex]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

8/3 basically means 8 divided by 3. ( 8 ÷3)

Therefore 8÷3 = 2.667

Answer:

100

Step-by-step explanation:

x ÷ 5 = 20

multiply both sides with 5

x = 100

Answer: 100

HOPE THIS HELPS

Answer:

A) Irrational, because it is not a terminating or repeating decimal.

Step-by-step explanation:

Every time a square root results in a decimal, it will always never end, and never repeat. The square root of 35 qualifies for both of these qualities, therefore, making the answer (A). Hope this helps!

Answer:

Answers

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

9+(-2)+11+(-8)=10

firstly 9+-2=7 then 7+11=18 and finally 18+-8 =10

Answer:

10

Step-by-step explanation:

Step-by-step explanation:

well you need to add the right expressions for the shorter lines so that there is no overlap. otherwise GK would be too long.

so, how can we combine the 3 red lines to get exactly GK ?

we cannot just add 2 of these lines. the results would always be either too long or too short.

but we see "2x + 3" overlaps a bit with "4x - 3". and hey, the third line "x" is just the length of the overlap of the other 2 lines.

so, we can add the first 2 lines, IF we reduce first one of them by the overlap length.

I picked the second line.

so, we have

2x + 3 - x + 4x - 3 = GK

5x = GK

so, "5x" is the algebraic expression representing GK.

now, if GK = 30, then we know

5x = 30

x = 6

GH = 2x + 3 - x (again, we need to shorten that line by the overlap length to count only to H)

= 2×6 + 3 - 6 = 6 + 3 = 9

JK = GK - GJ = 30 - (2x + 3) (here we need the full line, as we are dealing with J)

= 30 - 2×6 - 3 = 15

Answer:

a taco is 1.25 and a drink is 0.95

Step-by-step explanation:

tacos = t

drinks = d

5t + 3d = 9.10

3t + d = 4.70

this is a simultaneous equation so times the first one by one and the second by 3 and then take them away from each other and solving to get

t = 1.25 and d=0.95

one drink is $0.95

one taco is $1.25

Hope this helps!!

Answer:

102

Step-by-step explanation:

17 beats * 6 minutes = 102

Using proportions, it is found that approximately 74% of the whole match was taken up by the fifth set.

In this problem:

Hence:

[tex]p = \frac{491}{665} \approx 0.74[/tex]

Approximately 74% of the whole match was taken up by the fifth set.

You can learn more about proportions at https://brainly.com/question/24372153

Answer:

m = 4

Step-by-step explanation:

[tex]16(4 - 3m) = 96( \frac{ - m}{2 + 1} )[/tex]

[tex]64 - 48m = 96 \times \frac{ - m}{3} [/tex]

[tex]64 - 48m = - 32m[/tex]

[tex] - 48m + 32m = - 64[/tex]

[tex] - 16m = - 64[/tex]

[tex]m = 4[/tex]