What is the value of the function for x = 2?

Answer:

2x² + 14x + 6

Step-by-step explanation:

A match box is in the shape of a right rectangular prism so we can use the formula for the surface area of such a solid

A=2(wl+hl+hw)

where l = length, w=width and h = height

Substituting l = x, w = x+1 and height = 3 we get

wl = x(x + 1) = x² + x

hl = 3x

hw = 3(x + 1) = 3x + 3

So A = 2( x² + x + 3x + 3x + 3)

A = 2(x² + 7x + 3)

A = 2x² + 14x + 6

Answer:12

Step-by-step explanation: 300 times 0.04 (4%) is 12

Based on the calculations, the perimeter of this regular polygon is equal to 7.5 units.

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

Since this polygon is a regular polygon with each of its sides being equal, we have:

3(x - 1) = 5x - 6

3x - 3 = 5x - 6

5x - 3x = 6 - 3

2x = 3

x = 3/2

x = 1.5.

The measure of each of its sides is given by:

3x - 3 = 5x - 6

3(1.5) - 3 = 5(1.5) - 6

4.5 - 3 = 7.5 - 6

1.5 = 1.5

Each side, a = 1.5 units.

Now, we can determine the perimeter of this regular polygon:

Perimeter of pentagon = 5a

Perimeter of pentagon = 5 × 1.5

Perimeter of pentagon = 7.5 units.

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Can you provide more information?

Answer: 3.5 cups

To solve, we'll need to multiply because we know the SIZE of the groups and the amount of groups but we don't know the total amount.

The pair of numbers that have the greatest common factor of 3 are:

6 and 9

18 and 15

3 and 9

The biggest number, which is the variable of at least two number is known as the Best Normal Element (GCF). It is the biggest number (factor) that partition them bringing about a Characteristic number. When every one of the elements of the number are found, there are not many variables which are normal in both.

The factors of 6 and 9 are:

6 ⇒ 1, 2, 3 and 6

9 ⇒ 1, 3, 9

The greatest common factor here is therefore 3.

The factors of 18 and 15 are:

18 ⇒ 1, 2, 3, 6, 9 and 18

15 ⇒ 1, 3, 5, and 15

Greatest common factor is also 3

The factors of 3 and 9 are:

3 ⇒ 1 and 3

9 ⇒ 1, 3, 9

Greatest common factor here is also 3.

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198 of the 275 customers can be expected to prefer soda

A restaurant manger surveyed a random sample of costumers to determine which drink they prefer. Fourteen chose tea and 36 chose soda.

Based on the results , we have to find how many of the 275 customers can be expected to prefer soda?

total customers x = 275

customers chose soda y= 36

customers chose tea z= 14

therefore out of 275 customer who prefer soda = (x * y)/(y+z)

Based on the given conditions, formulate: [tex]: \frac{275 * 36}{14+36} \\\\[/tex]

Calculate the product or quotient:[tex]\frac{9900}{14+36}[/tex]

Calculate the sum or difference:[tex]\frac{9900}{50}[/tex]

Cross out the common factor: [tex]198[/tex]

Hence ,198 of the 275 customers can be expected to prefer soda

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Answer:

the prime factorization of 252 is. 252 = 2 × 2 × 3 × 3 × 7 = 22 × 32 × 7.

The 2 missing numbers are not given, so I'm unsure about the 2 missing numbers.

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Definitions

Prime number: A whole number greater than 1 that cannot be made by multiplying other whole numbers.

Prime Factorization: Prime numbers that multiply together to make the original number.

The first few prime numbers are:  2, 3, 5, 7, 11, 13, 17, ...

To find which prime numbers multiply together to make 252, begin by dividing 252 by the first prime number, 2:

⇒ 252 ÷ 2 = 126

As 126 is not a prime number, we need to divide again.  

⇒ 126 ÷ 2 = 63

As 63 is not a prime number, and 63 is not divisible by 2, try dividing it by the next prime number, 3:

⇒ 63 ÷ 3 = 21

As 63 is not a prime number, divide again.  

⇒ 21 ÷ 3 = 7

As 7 is a prime number, we can stop.

Therefore, 252 is the product of:

⇒ 252 = 2 × 2 × 3 × 3 × 7

As 2 and 3 appear twice, we can write these using exponents:

⇒ 252 = 2² × 3² × 7

Answer:

-1/6

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

the equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

the line passes through (- 8, 1 ) and (7, 1 )

both with y- coordinates of 1 , then

y = 1 ← is the equation of the line

Answer:

75 * (625 percent) = 468.75

Step-by-step explanation:

Answer:

[tex]-\frac{38}{3}[/tex]

Step-by-step explanation:

[tex]-12-\frac{2}{3}\\-12 = \frac{-36}{3} = \left(-36\right) \div 3\\\frac{-36}{3}-\frac{2}{3}\\=\frac{-36-2}{3}\\=\frac{-38}{3}[/tex]

Hope this helps!

–5 + 7 = 7 + (–5)  is an example of the associative property. Option A

This is further explained below.

Generally, The associative property is a rule in mathematics that states that the product of a multiplication problem does not depend on the method in which the elements that are being multiplied do not vary.

In conclusion, Even if the numbers on each side of the equal sign are written in the opposite direction, adding -5 to 7 still results in the same answer: 7 plus (-5).

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Answer:

Step-by-step explanation:

Answer:

a₁₅ = 240

Step-by-step explanation:

to find the 15 th term substitute n = 15 into the general term

a₁₅ = 15(15 + 1) = 15(16) = 15 × 16 = 240

Answer: 4 necklaces 2 bracelets. 8 bracelets. 2 necklaces 5 bracelets

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

525 divided by 1500 may be expressed in the following ways

525 ÷ 1500

[tex]\frac{525}{1500}[/tex]

1500  | |525

Answer:

See attached image

Step-by-step explanation:

I could not figure out how to do the long division symbol on the keyboard so I highlighted the answers in the attached.

Answer:

Step-by-step explanation:

-4w

nkjiug  kglkr fho'f v

Answer:

C. 20

Step-by-step explanation:

10|7−x| here we are asked to find the absolute value.

x is given as 5 so if we just rewrite the expression:

10|7-5| = 20 because absolute value cannot be negative.

The expression as a number in scientific notation is 4.2 * 10^5

The expression is given as:

quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared

Rewrite properly as:

[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]

Evaluate the product of 7 and 5.4

So, we have:

[37.8* 10^3 * 10^4]/[9 * 10^2]

Evaluate the product of 10^3 and 10^4

So, we have:

[37.8* 10^7]/[9 * 10^2]

Evaluate the quotient of 37.8 and 9

So, we have:

[4.2 * 10^7]/[10^2]

Evaluate the quotient of 10^7 and 10^2

So, we have:

4.2 * 10^5

Hence, the expression as a number in scientific notation is 4.2 * 10^5

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Answer:

domain ( - ∞, ∞ )

Step-by-step explanation:

there is no endpoint at either end of the line and it continues forever in both directions, then

domain is ( - ∞, ∞ )

Answer:

(-infinity, +infinity)

Step-by-step explanation:

(-infinity,+infinity) because at quadrant III, the line is extending forever into negative infinity, and in quadrant IV, the line is extending forever into positive infinity

And the correct graph is the one in option b.

We know that you have 8 cups of flour, and it takes one cup of flour to make 24 cookies.

Then the linear function:

c(f) = 24*f

Relates the number of cookies that we can make using f cups of flour.

Then the possible domain of this function (the possible values of f) is given by:

0  ≤ f ≤ 8

The maximum number of cookies that can be made is:

24*8 = 192

And the range is:

0 ≤ c ≤ 192

With that in mind, we can see that the correct graph is the one in option b.

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Answer:

0.62 feet per second

Step-by-step explanation:

The number of bottles will be 24 bottles.

It should be noted that 1 pound = 16 ounces.

Since he bought 1 pound of each color, the total pounds will be:

= 1 × 9 = 9 pounds.

The number of sand art will be:

= 9 pounds / 6 ounce

= (9 × 16) / 6

= 24 bottles

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Answer: x = -3

Step-by-step explanation:

     First, we will write an equation.

two times ➜ 2 *

7x plus 5 ➜ 7x + 5

equals -32 ➜ -32

       2(7x+5) = -32

     Next, we will solve by isolating the x variable.

2(7x+5) = -32

14x + 10 = -32

14x = -42

x = -3

Answer:W=16-3

Step-by-step explanation:

W is how many more weeks she has to work
she needs to work a total of 16 weeks and she has worked for 3 so far to find the total number of weeks she still needs to work she would take 16-3=13 13=W

The computation shows that the average number of viewers over the two weeks will be 3.85 × 10⁴.

From the information given, the tv show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.

Therefore, the average number of viewers over the two weeks will be:

= (3.6 × 10⁴ + 4.1 × 10⁴)/2

= 7.7 × 10⁴/2

= 3.85 × 10⁴

Therefore, the average is 3.85 × 10⁴

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