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barxatty [35]
3 years ago
8

Classify the following expression by degree and term: (2 points) x2y − 7xy + xyz + x

Mathematics
1 answer:
never [62]3 years ago
4 0
The degree of the expression is based on the term with the highest exponent. First we can simplify the expression because x2y and 7xy are like terms. You can rearrange x2y into 2xy (the arrangement will not change the product). So if you combine the like terms, you will have a new equation with only three terms, so it will be considered as a trinomial. 

xyz - 5xy + x

Remember to always arrange terms in your polynomial in descending order according to the degree. 

Now for degree, just get the sum of the exponents to determine the highest degree. The first term in the new equation has 3 variables, x,y, and z. Each of them, even when the power is not expressed are each raised to the power of 1. There are three variables so it will be:
1+1+1 = 3

The first term is classified as 3rd degree, which is the highest. So  now you can conclude that this expression is a 3rd degree trinomial. 

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Suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially?
nalin [4]

Answer:

Answer:

d--22→ 28

d→ 50

Step-by-step explanation:

Let d dollars be the initial amount in your bank account.

We have been given that you spent $22, so the amount left after spending $22 will be: .

We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.

We can represent this information in an equation as:

Therefore, the inequality represents the initial amount of money you had.

Now let us solve for d by adding 22 to both sides of our inequality.

Therefore, initially you had at least $50.

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

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8 0
2 years ago
Please help need answers
bogdanovich [222]

see explanation below

(1) \frac{1}{5} × \frac{2}{2} = \frac{2}{10} = 0.2

(2) \frac{6}{25} × \frac{4}{4} = \frac{24}{100} = 0.24

(3) 2 \frac{3}{4} = 2 +\frac{75}{100} = 2.75

(4) 3 \frac{9}{10} = 3 + 0.9 = 3.9

(5) 1.25 = 1 \frac{1}{4} = \frac{5}{4}

(6) 3.29 = 3 \frac{29}{100} = \frac{329}{100}

(7) 0.65 = \frac{65}{100} = \frac{13}{20} in simplest form

(8) 5.6 = 5 \frac{6}{10} = 5 \frac{3}{5} = \frac{28}{5}

(9) he is incorrect

\frac{3}{5} × \frac{20}{20} = \frac{60}{100} = 0.6 ≠ 3.5


7 0
3 years ago
A brace for a shelf has the shape of a right triangle. Its hypotenuse is 16 inches long and the two legs are equal in length. Ho
Flura [38]
Using pythag a^2+b^2=16^2
16^2=256
and since a=b the equation is 2x^2=256
/ each side by 2
x^2=128
x=sq rt of 128=11.31 roughly
8 0
3 years ago
Can any math genius help me with this
vovangra [49]

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8 0
3 years ago
Teddy has two piggy banks. The difference in the amount of money between the two banks is no more than $10. One piggy bank has $
just olya [345]

Answer:

2.69≤x≤17.31

Step-by-step explanation:

Lety the amount in the other Piggy bank be x.

The difference in the amount of money between the two banks is no more than $10 is expressed as;

|x-7.31| ≤ 10

The value in the modulus sign can be positive or negative

If positive;

x-7.31 ≤ 10

x ≤ 10+7.31

x≤17.31

If negative

-(x-7.31) ≤ 10

-x+7.31 ≤ 10

-x ≤ 10-7.31

-x ≤ 2.69

Multiply both sides by -1

x ≥ -2.69

The compound inequality representing the amount of money in the other bank is -2.69≤x≤17.31

4 0
3 years ago
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