what is the resulting polynomial when 3x+7 is multiplied by 2x-6

Answer:

-71

Step-by-step explanation:

common differences d = 7

A1 = 6

arithmetic sequence:

A(n)  = A1  + d(n - 1)

A(n) = 6 + d(n - 1)

Hope it helps

5 . x ÷ 7 = 10 or less

5 . 14 = 70 ÷ 7 = 10

The unknown number, when multiplied by five and divided by seven, has to result in a value of 10 or less. To find this number, we solve the inequality 5x / 7 <= 10 and find that x must be less than or equal to 14.

The question is asking for a number that, when multiplied by five and then divided by seven, yields a result of 10 or less. Let's denote the unknown number as x. We can put this into a mathematical inequality:

5x / 7 <= 10

To solve for x, we first multiply both sides by 7 to cancel the denominator on the left side:

5x <= 70

Then, we divide both sides by 5 to isolate x:

x <= 14

Therefore, the number must be less than or equal to 14.

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Answer:

The distance from Cleveland to Cincinnati on the second map is 8 cm.

Step-by-step explanation:

The distance from Cleveland to Cincinnati is 40 cm on the first map and the scale on the first map is 1 cm to 10 km.

So, the actual distance from Cleveland to Cincinnati [tex]=(40*10) km = 400 km[/tex]

Suppose, the distance from Cleveland to Cincinnati on the second map is  [tex]d[/tex] cm.

Given that, the scale on the second map is 1 cm to 50 km. So, the equation will be........

[tex]\frac{d}{400}=\frac{1}{50}\\ \\ 50d=400\\ \\ d=\frac{400}{50}=8[/tex]

So, the distance from Cleveland to Cincinnati on the second map is 8 cm.

The distance from Cleveland to Cincinnati on the second map can be found to be 8 cm.

To find the actual distance from Cleveland to Cincinnati, you would multiply the map distance by the scale:

= 40 cm * 10 km/cm

= 400 km

So, the actual distance from Cleveland to Cincinnati is 400 km.

Now, on the second map, the scale is 1 cm to 50 km.

To find the distance from Cleveland to Cincinnati on the second map, you would divide the actual distance by the scale of the second map:

= 400 km / 50 km/cm

= 8 cm

So, the distance from Cleveland to Cincinnati on the second map would be 8 cm.

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Vanessa originally had $685. After spending $273 and donating $119, she now has $293 remaining.

To find out how much money Vanessa has left after spending and donating some of her money, we need to perform two subtraction operations. First, subtract the amount she spent from her original amount, then subtract what she donated.

Vanessa had $685 originally. She spent $273 on purchases, so let's subtract this amount:

After spending, Vanessa has $412 left. Now, let's subtract the amount she donated:

So, after donating, Vanessa has $293 left.

Final answer:

Vanessa initially has $685. After spending $273 and donating $119, she has $293 left.

Explanation:

The question involves solving a basic arithmetic problem. Vanessa initially has $685. She spends $273 and then donates $119. To find out how much money Vanessa has left, we need to subtract the total amount spent and donated from her initial amount.

Step-by-Step Calculation:

Therefore, after spending and donating the specified amounts, Vanessa has $293 left.

To determine the size of the home video collection one can save, subtract the used space (122 GB) from the total hard drive capacity (160 GB). The remaining space is 38 GB, which is the maximum size for the home videos that can be saved. The inequality representing the available space in terms of 'a' is: a ≤ 38 GB.

The subject of this question is a practical application of mathematics related to computer storage space.

If the computer's hard drive has a total capacity of 160 GB and you have already used 122 GB, we can determine the remaining available space with a simple subtraction: 160 GB - 122 GB = 38 GB.

So, the size of the home video collection that you can save cannot exceed 38 GB.

To represent this as an inequality where u is the amount used, and a is the amount available, we can write:

u + a ≤ 160 GB

Since you've used 122 GB already, the inequality in terms of a alone is:

a ≤ 160 GB - 122 GB

a ≤ 38 GB

This inequality states that the amount of additional data (home videos) you can save, denoted as a, should be less than or equal to 38 GB, which is the available space remaining on your hard drive.

Final answer:

To determine the available space on your hard drive, subtract the amount used from the total capacity. The possible sizes of the home video collection you can save range from 0GB to a maximum of 38GB. The inequality a ≤ 38GB represents the amount of space available.

Explanation:

To determine the amount of space available, you subtract the amount of space used from the total capacity. In this case, the total capacity is 160GB and the amount used is 122GB, so the amount of space available is 160GB - 122GB = 38GB.

Therefore, the possible sizes of the home video collection you can save range from 0GB (if you don't save any videos) up to a maximum of 38GB (if you save videos that take up the entire available space).

The inequality that represents this is: a ≤ 38GB, where 'a' represents the amount of space available.

As the [tex] g(x)=x^{2}+2[/tex]

To find the value of g(3) we have to put the value of [tex]x[/tex] equal to 3 everywhere in g([tex]x[/tex])

Therefore [tex] g(3)=(3)^2+2[/tex]

on solving the equation

[tex]g(3) = 9+2 [/tex]

[tex] g(3) = 11 [/tex]

Hence g(3) =11 is the answer

Hope this will help

[tex]v = u + 5t\\\\5t=v-u\\\\t=\dfrac{v-u}{5}[/tex]

To make t the subject of the formula v = u + 5t, subtract u from both sides and divide by 5.

To make t the subject of the formula v = u + 5t, we need to isolate t on one side of the equation.

First, subtract u from both sides of the equation: v - u = 5t.

Then, divide both sides of the equation by 5: (v - u)/5 = t.

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4c+5

hope that helps you out

The sum (c−4)+(3c+9) is 4C+5

(c−4)+(3c+9)

⇒C-4+3C+9

⇒(C+3C)+(-4+9)

⇒4C+5

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Answer:

5x + 4y = 80

Step-by-step explanation:

There are 27 skylights total.

The total number of skylights all together is 27.

To find the total number of skylights, we need to multiply the number of rows by the number of skylights in each row. In this case, there are 3 rows and 9 skylights in each row. So, we can calculate the total number of skylights as 3 x 9 = 27.

4 * 4 * 4 * 4 is another way to rewrite 4^4

4 Rasied to the fourth power is equal to

[tex]4^4[/tex]

The big number (the base) is what is being multiplied, and the exponent (the small number) is how many times it is being multiplied by itself

For example

[tex]2^3 = 2\times2\times\2\\\\Or\\7^4 = 7\times7\times7\times7[/tex]

So in this situation,

[tex]4^4 = 4\times4\times4\times4[/tex]

Which = 256

Sales tax paid by Donte = [tex]\frac{5.6}{100} (5)[/tex]

= 0.28

Sales tax paid by Trista = [tex]\frac{7}{100} (5)[/tex]

= 0.35

The extra tax paid by Trista = 0.35 - 0.28 = 0.07.

Hence, Trista paid $0.07 more than Donte.

Hi!

Equation: Y = P% * X

X = Y/P%

X = 41.8/67%

p = 67/100 = 0.67

X = 41.8/0.67

Answer:

X = 62.3881

Just order the people from least to greatest time. So it would be Cindy, Beth, Ari.

Cindy, Beth, then Ari

Answer:

f

Step-by-step explanation:7574

(1)

answer A: 23 is an integer and, as such, belongs to the set of Reals

(2)

answer C: sqrt(9)=3 is rational (can be written as 9/1, or 18/2, etc.) and, as such, is a Real number as well. The others are irrational numbers, so they do not qualify.

1. The number which is both real and integer number is 23.

2. The number which is both real and integer number is √9.

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

There are some numbers.

We have to choose the real and integers number.

Now,

Since, The integers are the number that is positive, negative and zero.

Hence,

1. The number 23 is a real number and it is also a integer.

And,

2. √9 = √3 x 3

        = 3

Thus, The number √9 = 3 is a real number and it is also a integer.

Therefore,

1. The number which is both real and integer number is 23.

2. The number which is both real and integer number is √9.

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The answer will be A.4

the answer is a) 4

yay

Answer:

86

Step-by-step explanation:

The pattern follows this rule:

Every time, the difference between current term and the succeeding term is 0.5 more than that of the current term and preceding term.

The difference between the current term and the preceding term is:

89.5 - 92.5 = 3

Hence, the next term of the sequence should be 3.5 less than the current term.

Hence, the next term is 89.5 - 3.5 = 86.

Answer:  The required length and breadth of the rug are 46 yards and 189 yards respectively.

Step-by-step explanation:  Given that a rectangular rug has a perimeter of 470 yards. The width of the rug is 5 yards more than four times the length.

We are to find the length and width of the rug.

Let l represents the length of the rug. Then, the width of the rug will be

[tex]w=4l+5.[/tex]

According to the given information, we have

[tex]470=2l+2w\\\\\Rightarrow 470=2l+2(4l+5)\\\\\Rightarrow 470=2l+8l+10\\\\\Rightarrow 10l=460\\\\\Rightarrow l=\dfrac{460}{10}\\\\\Rightarrow l=46.[/tex]

So, the width is given by

[tex]w=4\times46+5=184+5=189.[/tex]

Thus, the required length and breadth of the rug are 46 yards and 189 yards respectively.

the question in English is

THE SQUARE PERIMETER X IS TWO THIRDS OF THE SQUARE PERIMETER Y. THE PERIMETER OF THE SQUARE Y IS TWO THIRDS OF THE PERIMETER OF THE SQUARE Z. THE AREA OF THE SQUARE X IS 16 CM2 WHAT IS THE AREA OF THE SQUARE Z?

Let

Px--------> the perimeter of square x

Py--------> the perimeter of square y

Pz--------> the perimeter of square z

Ax--------> the area of square x

Az--------> the area of square z

Step 1

Find the length side of the square x

we know that

[tex]Px=\frac{2}{3} Py[/tex] -------> equation A

[tex]Py=\frac{2}{3} Pz[/tex] -------> equation B

[tex]Ax=16\ cm^{2}[/tex]

[tex]Ax=x^{2}[/tex]

so

[tex]x^{2}=16[/tex]

[tex]x=4\ cm[/tex]

Step 2

Find the perimeter of square x

[tex]Px=4x[/tex]

substitute the value of x in the formula

[tex]Px=4*4=16\ cm[/tex]

Step 3

Find the perimeter of square y

use the equation A

[tex]Px=\frac{2}{3} Py[/tex]

solve for Py

[tex]Py=\frac{3}{2} Px[/tex]

substitute the value of Px

[tex]Py=\frac{3}{2}16=24\ cm[/tex]

Step 4

Find the perimeter of square z

use the equation B

[tex]Py=\frac{2}{3} Pz[/tex]

solve for Pz

[tex]Pz=\frac{3}{2} Py[/tex]

substitute the value of Py

[tex]Pz=\frac{3}{2} 24=36\ cm[/tex]

Step 5

Find the area of square z

we know that

the area of the square z is equal to

[tex]Az=z^{2}[/tex]

Find the length side of square z

[tex]Pz=4z[/tex]

[tex]Pz=36\ cm[/tex]

so

[tex]4z=36[/tex]

[tex]z=9\ cm[/tex]

substitute the value of z in the area's formula

[tex]Az=9^{2}=81\ cm^{2}[/tex]

therefore

the answer is

the area of the square z is [tex]81\ cm^{2}[/tex]

The riddle compares a lame elephant to the act of adding 19 and 4, where the answer lies in the wordplay of 'one-legged' (1+9+4) and 'too-free' (sounding like 23).

The question "Why is a lame elephant like adding 19 and 4?" appears to be a playful riddle rather than a straightforward math problem.

The answer to this riddle plays on the similarity in sound between the words 'lame' and the number '1' when saying 'one-legged' or '1-legged', as well as the sum of the numbers 19 and 4 being 23, which can sound like 'two' and 'three' or 'too-free' when spoken quickly.

To conclude, a lame elephant is like adding 19 and 4 because it is 'one legged' or could be jokingly considered 'too-free' to walk as it would if it weren't lame.

Answer:

A

Step-by-step explanation:

Answer:

4 + x/12 + x = 0.50

Step-by-step explanation:

Answer:

15/100

0.15 is 15 hundredths, which can also be written as 15/100. If you say the decimal out loud, and then the fraction out loud, you say them the same.

so you would isolate the variable

Answer: 1. 9 feet revelent to the surface2. 19 points

Step-by-step explanation: