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Amanda [17]
3 years ago
13

Simplify the expressions if it is possible. if the expression is already simplified write the word simplified.

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0
1. -5x+3x = 6
-2x /-2=6/-2
x = -3

3.9p+18 -4p+13
=5p =-31
p = -31/5
= -6.2
5.45n+16m-12+5n -2m
50n + 14 m = 12
2(25n+7m) /2 = 12/2
25n+ 7m = 6
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Are (121 over 11),(23 over 3), and (85 over 5) in simplest form?
Sedaia [141]
Answers:

121/11=11

23/3=23/3

85/5=17
5 0
3 years ago
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With bases V1, V2 , V3 andw1, w2 , W3, suppose T(v1) = w2 and T(v2) = T(v3) = w1 + w3 . T is a linear transformation. Find the m
Roman55 [17]

Answer:

See picture and explanation below.

Step-by-step explanation:

With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.

A is defined as T=([T(v_1)] [T(v_2] [T(v_3)])\text{ where }[T(v_i)] denotes the vector of coordinates of T(v_i) respect to the basis (we can apply this definition because forms a basis for the domain of T).

The vector of coordinates can be computed in the following way: if T(v_i)=a_1w_1+a_2w_2+a_3w_3 then [T(v_i)]=(a_1,a_2,a_3)^t.

Note that we have all the required information: T(v_1)=0w_1+1\cdot w_2+0w_3 then [T(v_1)]=(0,1,0)^t

T(v_2)=T(v_3)=1\cdot w_1+0w_2+0w_3 hence [T(v_2)]=[T(v_3)]=(1,0,0)^t

The matrix A is on the picture attached, with the multiplication A(1,1,1).

Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:

T(v_1+v_2+v_3)=T(v_1)+T(v_2)+T(v_3)=w_2+w_1+w_1=w_2+2w_1  

In this last case, we can either use the linearity of T or multiply by A.

4 0
3 years ago
Maysoun drove 1116 kilometers in 12 hours. At the same rate, how long would it take her to drive 651 kilometers?
Lilit [14]

Answer:

7 hours

Step-by-step explanation:

12hrs=1116kms

1hr=1116÷12

1hr=93kms

Xhrs=651kms

Xhrs=(651÷93) ×1

=7×1

=7hrs

7 0
2 years ago
What is 0.003 as a percent.
Paul [167]
0.3% is the answer because the decimal is over one meaning the percent is over 100
8 0
3 years ago
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If f(n)= n²-n, then f(-4) is<br> O-20<br> 12<br> -12<br> 20
Harman [31]

Answer:

20

Step-by-step explanation:

Plug in -4 for n:

(-4)^2 - (-4) = 16 + 4 = 20

3 0
1 year ago
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