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2 years ago

Only the smartest person in their math class can help me with this difficult problem!!!

Mathematics

2 answers:

vodomira [7]2 years ago

6 0

Step-by-step explanation:

$\tt{(5 {x}^{3} - 3x + 6) - (2 {x}^{2} - 4x + 8)}$

While subtracting , the sign of each term of second expression changes & remove the parentheses.

⟶ $\tt{5 {x}^{3} - 3x + 6 - 2 {x}^{2} + 4x - 8}$

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⟶ $\tt{5 {x}^{3} - 3x + 4x + 6 - 8 - 2 {x}}^{2}$

⟶ $\tt{5 {x}^{3} + x - 2 - 2 {x}^{2} }$

In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{5 {x}^{3} - 2 {x}^{2} + x - 2}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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gulaghasi [49]2 years ago

4 0

Answer:

I'm the smartest person in my math class.

Step-by-step explanation:

While subtracting , the sign of each term of second expression changes & remove the parentheses.

⟶ 5x³-3x +6-2x²+4x-8

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⟶ 5x³-3x+4x+6-8-2x²

⟶ 5x³+x-2-2x²

In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

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A sphere has a radius of 4x + 1. Which polynomial in standard form best describes the total surface area of the sphere? Use the

vampirchik [111]

Answer:
area = pi * (64x² + 32x + 4)
Using pi = 3.14:
area = 200.96 x² + 100.48 x + 12.56

Explanation:
We are given that:
area of sphere = 4 * pi * r²
radius = 4x + 1

Substitute with the radius in the given formula to get the area as follows:
area = 4 * pi * (4x+1)²
area = 4 * pi * (16x² + 8x + 1)
area = pi * (64x² + 32x + 4)

Using pi = 3.14:
area = 200.96 x² + 100.48 x + 12.56

Hope this helps :)

7 0

3 years ago

A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same a

ziro4ka [17]

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

= b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

= b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

4 0

2 years ago

Kendra bought a magazine for $3 and four paperback books for $5 each the expression 3 + 4 x 5 represents the total cost in dolla

Elodia [21]

I´m pretty sure that the terms would just be 3, 4, and 5. It depends what kind of problem it is.

3 0

3 years ago

Why is the sum of two negative numbers not a positive number

pychu [463]

Answer:

because when two negatives are together they can't add

Step-by-step explanation:

because when two negatives are together they can't add no matter if there's an addition sign

7 0

3 years ago

Hey guys iv got one 3 tons to pounds thanks so much.

Art [367]

Answer:

3 tons = 6000 pounds

Step-by-step explanation:

1 ton is equal to 2000 pounds, so just multiply 2000 by 3 :)

Hope this helps!

5 0

2 years ago

Read 2 more answers