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Soloha48 [4]
3 years ago
6

Which terms could be used as the first term of the expression below to create a polynomial with a degree of 5 written in standar

d form? Check all that apply.
+ 2x2y2 – 3xy3
–4x3y2
x3
8.4x4y2
5x4y
–xy3
Mathematics
2 answers:
Lera25 [3.4K]3 years ago
8 0

Answer:

option 1

option 4

Step-by-step explanation:

Sladkaya [172]3 years ago
6 0

Answer:

Option 2 - -4x^3y^2

Option 5 - 5x^4y

Step-by-step explanation:

To find : Which terms could be used as the first term of the expression below to create a polynomial with a degree of 5 written in standard form?

Solution :

The polynomial with a degree of 5 means the polynomial of highest power must be 5.

Now, we check one by one,

1) 2x^2y^2-3xy^3 - the highest degree is 4

2) -4x^3y^2 - the highest degree is 5

3) x^3 - the highest degree is 3

4) 8.4x^4y^2 - the highest degree is 6

5) 5x^4y - the highest degree is 5

6) -xy^3 - the highest degree is 4

Therefore, In the above options- option 2 and 5 has the highest degree 5 which means they both have a polynomial with a degree of 5.

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Suppose y varies directly with x. Write a direct variation equation to relate x and y if y = 10 when x = 2
Ksivusya [100]

Answer:

y=5x and y=40 when x=8

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3 years ago
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Dimitri rode his bike 32 miles yesterday. He rode 12 4/5 miles before lunch and the rest of the distance after lunch. How far di
BigorU [14]
19.2 miles is the answer

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Solve this problem please
djyliett [7]

The formula for depreciation is:

y=x(1-r)^t

Where x = Initial value,

y= Amount after depreciation.

r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

944 = 1040(1-r)^1

944 = 1040 (1 -r)

\frac{944}{1040} =1-r Divide each sides by 1040.

0.907692308 =1 - r

0.907692308 - 1 = -r Subtract 1 from each sides.

-0.092307692 = -r

So, r = 0.09 or 9%.

Now plug in 0.09 in the above equation to get the depreciation equation. So,

y = x (1- 0.09)^t

So, y = 0.91x^t

b) To find the value of the bike after 5 months,

plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

So, y= 1040 *(0.91)^{0.41667}

y = 1040 * 0.961465659

y = 999.9242852

y = 1000 (Rounded to nearest integer).

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7 0
3 years ago
Describe and correct the error(s) made in each of the problems below.
ladessa [460]

Answer:

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

Step-by-step explanation:

<u>Errors in Algebraic Operations </u>

It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them

  • When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
  • When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
  • Not to confuse product of fractions with the sum of fractions. Rules are quite different

The first expression is

1-x / (5-x)(-x)=x-1 / x(x-5)

Let's arrange into format:

\displaystyle \frac{1-x}{(5-x)(-x)} =\frac{x-1 }{ x(x-5)}

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

Now for the second expression

5/s+2/5=2/s

Let's arrange into format

\displaystyle \frac{5}{s}+\frac{2}{5} =\frac{2}{s}

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

6 0
3 years ago
Terrion and Johnny are racing across the football field during practice. Terrion has run 89/100 of the field, and Johnny has run
stepan [7]

Answer:

They ran it equally

Step-by-step explanation:

89/100 equals 0.89: 89 divided by 100 = 0.89.

4 0
2 years ago
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