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garri49 [273]
2 years ago
15

Please solve this question on rationalising denominators showing all working <3

Mathematics
1 answer:
Komok [63]2 years ago
8 0

Step-by-step explanation:

denominators showing all working <3

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the ratio of girls to boys in the math club was 3.5. if there were 120 children altogether, how many girls were there?
sergejj [24]

3 girls to 5 boys

3+5 =8

120/8 = 15

3 *15 = 45 girls


5 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]

Applying the coordinates 2,6 and -2 to the basis E we obtain

2+6t-2t^{2}

That was the original result of T[e1(t)]

8 0
3 years ago
Can someone please answer it correctly if it’s correct I will mark you brainliest
dem82 [27]

Answer:

-\frac{5}{2}, -2, 1.7

Step-by-step explanation:

1. Make fraction to decimal

-\frac{5}{2} = -2.5

2. Order from least to greatest.

1.7 > -2 > -2.5

Least to greatest : -\frac{5}{2}, -2, 1.7

4 0
2 years ago
PLEASE FAST 10 POINTS
Karolina [17]

Answer:

6. 5 % is the answer

Step-by-step explanation:

formula =

<em>R</em><em> </em><em>=</em><em> </em><em>I</em><em> </em><em>×</em><em> </em><em>1</em><em>0</em><em>0</em><em> </em><em>/</em><em> </em><em>P</em><em> </em><em>×</em><em> </em><em>T</em>

4 0
2 years ago
If you buy 15 bags of grass seed which cost $8.29 each, what is the total cost? $87.05 $82.90 $127.50 $124.35
faust18 [17]

Answer:124.35

Step-by-step explanation: if you times 8.25 by 15 you will get the answer of 124.35

6 0
3 years ago
Read 2 more answers
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