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2 years ago

Solve?????????????????

Mathematics

2 answers:

pychu [463]2 years ago

8 0

$\huge\text{Hey there!}$

$\huge\boxed{\mathsf{5\dfrac{1}{4}}}$

$\huge\boxed{\mathsf{= \dfrac{5\times4+1}{4}}}$

$\huge\boxed{\mathsf{= \dfrac{20 + 1}{4}}}$

$\huge\boxed{= \mathsf{\dfrac{21}{4}}}}$

$\huge\boxed{\boxed{\rm{Therefore, your \ answer\ is: \ } \boxed{\mathsf{\dfrac{21}{4}}}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day! }$

~ $\frak{Amphitrite1040:)}$

stellarik [79]2 years ago

6 0

Hi there!

To convert a mixed number into an improper fractiom, we must follow the following steps:

Multiply the whole number by the denominator.
Add the numerator.

Step 1.

5*4=20

Step 2.

20+1=21

Therefore, our final answer is: $\frac{21}{4}$

Hope this helps you!

~Just a felicitious girlie

#HaveAnAwesomeDay

$SilentNature :)$

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How many inches are in 200 meters?<br><br> Enter your answer in the box.<br><br> 1 m ≈ 39.37 in.

Vinvika [58]

Answer:

Step-by-step explanation:

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7 0

3 years ago

Consider the linear transformation T from V = P2 to W = P2 given by T(a0 + a1t + a2t2) = (2a0 + 3a1 + 3a2) + (6a0 + 4a1 + 4a2)t

Svet_ta [14]

Answer:

$[T]EE=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]$

Step-by-step explanation:

First we start by finding the dimension of the matrix [T]EE

The dimension is : Dim (W) x Dim (V) = 3 x 3

Because the dimension of P2 is the number of vectors in any basis of P2 and that number is 3

Then, we are looking for a 3 x 3 matrix.

To find [T]EE we must transform the vectors of the basis E and then that result express it in terms of basis E using coordinates and putting them into columns. The order in which we transform the vectors of basis E is very important.

The first vector of basis E is e1(t) = 1

We calculate T[e1(t)] = T(1)

In the equation : 1 = a0

$T(1)=(2.1+3.0+3.0)+(6.1+4.0+4.0)t+(-2.1+3.0+4.0)t^{2}=2+6t-2t^{2}$

$[T(e1)]E=\left[\begin{array}{c}2&6&-2\\\end{array}\right]$

And that is the first column of [T]EE

The second vector of basis E is e2(t) = t

We calculate T[e2(t)] = T(t)

in the equation : 1 = a1

$T(t)=(2.0+3.1+3.0)+(6.0+4.1+4.0)t+(-2.0+3.1+4.0)t^{2}=3+4t+3t^{2}$

$[T(e2)]E=\left[\begin{array}{c}3&4&3\\\end{array}\right]$

Finally, the third vector of basis E is $e3(t)=t^{2}$

$T[e3(t)]=T(t^{2})$

in the equation : a2 = 1

$T(t^{2})=(2.0+3.0+3.1)+(6.0+4.0+4.1)t+(-2.0+3.0+4.1)t^{2}=3+4t+4t^{2}$

Then

$[T(t^{2})]E=\left[\begin{array}{c}3&4&4\\\end{array}\right]$

And that is the third column of [T]EE

Let's write our matrix

$[T]EE=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]$

T(X) = AX

Where T(X) is to apply the transformation T to a vector of P2,A is the matrix [T]EE and X is the vector of coordinates in basis E of a vector from P2

For example, if X is the vector of coordinates from e1(t) = 1

$X=\left[\begin{array}{c}1&0&0\\\end{array}\right]$

$AX=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]\left[\begin{array}{c}1&0&0\\\end{array}\right]=\left[\begin{array}{c}2&6&-2\\\end{array}\right]$