What makes a constant term differ from a term with a variable

Answers

Answer 1

Answer: variable varies or changes

constatant term doesn't change

examples
variables can change so example
x>10
x can be 11 or 33 or anythign bigger than 10

constants are no fun
they don't change an are boring, like
3 or 8, it just stays that way

Answer 2

Answer: A variable term is the term being changed, and the constant term is kept the same

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Which decimals are less than –2.08?Choose all answers that are correct.

A.
–8.04

B.
–2.5

C.
–0.7

D.
3.16

Answers

would it be C? im not too sure but thats my guess =)

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9. Write the division problem that Martin solved

Answers

Answer:

The required division problem he must solve is:

$(2)/(3) / (-3)/(8) =(2)/(3)*(-8)/(3)=(-16)/(9)$

Step-by-step explanation:

Consider the provided information.

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9.

As we know that the quotient of the number is a negative number.

Therefore, the sign of both numbers must be different,

Thus we can concluded he must select $(2)/(3)$ as one of the card, so that product is a negative number.

Let the selected card be x.

$(2)/(3) / x =(-16)/(9)\n\nx=(2)/(3)/(-16)/(9)\n\nx=(2)/(3)*(-9)/(16)\n\nx=(-3)/(8)$

Hence, the two cards should be $(2)/(3)$ and $(-3)/(8)$

The required division problem he must solve is:

$(2)/(3) / (-3)/(8) =(2)/(3)*(-8)/(3)=(-16)/(9)$

I have a big math test tomorrow and a question on the review packet my teacher made for my class just doesn't make sense to me. Here it is... For a 'Black Friday' sale, everything in a store is 10% off the original price. If Ana purchased an item that was marked with a sale price of $40, what was the original price?

My teacher said the answer was $44.44 but I don't understand how she got that, can someone help please?

Answers

my hand writing is messy but you would take. 40$ × 0.10 . then you would take 40$ and subtract it from the answer you received from multiplying and then you have your answer.

For which value(s) of x will the rational expression below be undefined?Check all that apply.
(x-3)(x+6)
x + 7

Answers

Question:

For which value(s) of x will the rational expression below be undefined? Check all that apply.

(x-3)(x+6)/x+7

Answer:

For x = -7 the rational expression is undefined

Solution:

Given rational expression is:

$((x-3)(x+6))/((x+7))$

We have to find the value of x for which the rational expression becomes undefined

A rational expression is undefined when the denominator is equal to zero

Here, the denominator becomes zero when x = -7

Substitute x = -7 in given

$((-7-3)(-7+6))/((-7+7)) = (-10 * -1)/(0) = (10)/(0)$

Thus for x = -7 the rational expression is undefined

If 120% of a is equal to 80% of b, then what is the value of a b in terms of b

Answers

If you would like to know what is the value of a b in terms of b, you can calculate this using the following steps:

120% of a = 80% of b
120/100 * a = 80/100 * b /*100
120 * a = 80 * b /120
a = 80 / 120 * b
a = 2/3 * b

The correct result would be a = 2/3 * b.

120% = x 1.2

80% = x 0.8

$1.2a=0.8b \n \n a= (0.8)/(1.2)b \n \n \boxed{a= (2)/(3)b }$

What is the greatest common factor of 8 and 9

Answers

The greatest common factor of 8 and 9 is 1. The largest positive integer that divides two numbers without producing a remainder is known as the greatest common factor (GCF).

We have the numbers 8 and 9 in this instance. We must uncover the elements that both numbers have in common and choose the biggest one to determine their GCF. In comparison to the factors of 9, which are 1, 3, and 9, the factors of 8 are 1, 2, 4, and 8.

The highest positive integer that divides both 8 and 9 is 1, hence the only factor they have in common is that. Therefore, 1 is the number that connects 8 and 9 most frequently.

To know more about factor :

brainly.com/question/14452738

#SPJ6.

Answer:The factors of 8 are: 1, 2, 4, 8

The factors of 9 are: 1, 3, 9

Then the greatest common factor is 1.

Step-by-step explanation:How to Find the Greatest Common Factor (GCF)

There are several ways to find the greatest common factor of numbers. The most efficient method you use depends on how many numbers you have, how large they are and what you will do with the result.

Factoring

To find the GCF by factoring, list out all of the factors of each number or find them with a Factors Calculator. The whole number factors are numbers that divide evenly into the number with zero remainder. Given the list of common factors for each number, the GCF is the largest number common to each list.

Example: Find the GCF of 18 and 27The factors of 18 are 1, 2, 3, 6, 9, 18.

The factors of 27 are 1, 3, 9, 27.

The common factors of 18 and 27 are 1, 3 and 9.

The greatest common factor of 18 and 27 is 9.

Example: Find the GCF of 20, 50 and 120

The factors of 20 are 1, 2, 4, 5, 10, 20.

The factors of 50 are 1, 2, 5, 10, 25, 50.

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.

The common factors of 20, 50 and 120 are 1, 2, 5 and 10. (Include only the factors common to all three numbers.)

The greatest common factor of 20, 50 and 120 is 10.Prime Factorization

To find the GCF by prime factorization, list out all of the prime factors of each number or find them with a Prime Factors Calculator. List the prime factors that are common to each of the original numbers. Include the highest number of occurrences of each prime factor that is common to each original number. Multiply these together to get the GCF.

You will see that as numbers get larger the prime factorization method may be easier than straight factoring.

Example: Find the GCF (18, 27)

The prime factorization of 18 is 2 x 3 x 3 = 18.

The prime factorization of 27 is 3 x 3 x 3 = 27.

The occurrences of common prime factors of 18 and 27 are 3 and 3.

So the greatest common factor of 18 and 27 is 3 x 3 = 9.

Example: Find the GCF (20, 50, 120)

The prime factorization of 20 is 2 x 2 x 5 = 20.

The prime factorization of 50 is 2 x 5 x 5 = 50.

The prime factorization of 120 is 2 x 2 x 2 x 3 x 5 = 120.The occurrences of common prime factors of 20, 50 and 120 are 2 and 5.

So the greatest common factor of 20, 50 and 120 is 2 x 5 = 10.

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