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dusya [7]
3 years ago
6

Add. (1+7x3−x2)+(x3+2+2x2) Express the answer in standard form. Enter your answer in the box.

Mathematics
2 answers:
Elis [28]3 years ago
8 0

Answer:

8x^3+x^2+3

Step-by-step explanation:

In order to solve this you just have to put together the numbers witht the same base and exponent and then you just add and withdraw, and you can do it like this:

""7x^3-x^2+1\\+x^3+2x^2+2\\\\------\\8x^3+ x^2+3

So the answer would be :8x^3+x^2+3

Juli2301 [7.4K]3 years ago
6 0
The answer to the question

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Negative 3/2 times negative 5 1/4
Travka [436]
You mean -3/2 * -51/4??? 

use the calculator to multiply them and you will get 19.125
3 0
3 years ago
Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com
aliina [53]

Answer:

The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

g(x) = 7 + 0.x + 1.x²

h(x) = 7 - 1.x + 1.x²

Now,

The coefficient matrix becomes

A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

           = 7(1) - 1(0)

           = 7 - 0 = 7

⇒Det(A) = 7 ≠ 0

As the determinant is non- zero ,

So, The set of polynomial  is Linearly Independent.

5 0
2 years ago
Two families went to Rollercoaster World.
Alona [7]

Answer:

Children ticket cost $30 and adult ticket costs $40.

Step-by-step explanation:

Given that:

x = price of a child ticket

y = price of an adult ticket

According to given statement;

3x+2y=170     Eqn 1

4x+6y=360    Eqn 2

Multiplying Eqn 1 by 3

3(3x+2y=170)

9x+6y=510      Eqn 3

Subtracting Eqn 2 from Eqn 3

(9x+6y)-(4x+6y)=510-360

9x+6y-4x-6y=150

5x=150

Dividing both sides by 5

\frac{5x}{5}=\frac{150}{5}\\x=30

Putting x=30 in Eqn 1

3(30)+2y=170

90+2y=170

2y = 170-90

2y = 80

Dividing both sides by 2

\frac{2y}{2}=\frac{80}{2}\\y=40

Hence,

Children ticket cost $30 and adult ticket costs $40.

6 0
2 years ago
Multiply and simplify<br> (x +1)3 x (x+1)4
Anna71 [15]

Answer:

12x^2+24x+12

Step-by-step explanation:

(3x+3) * (4x+4)

12x^2+24x+12

6 0
3 years ago
Read 2 more answers
If you sleep 33% in a day, how many hours is that?
strojnjashka [21]
We know that
one day is equal to 24 hrs
so
33 % of the day is equal to
(\frac{33}{100} )*24 \\ =7.92 hrs

the answer is
7.92 hrs
5 0
3 years ago
Read 2 more answers
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