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fenix001 [56]
3 years ago
5

What system of linear inequalities is shown in the graph?

Mathematics
1 answer:
NARA [144]3 years ago
5 0
The first one i think
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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
The value of Peter's house has risen 10% a year for the last 3 years. if the value of Peter's home 3 years ago was $120,000.00,
pickupchik [31]
The answer is $132,000

First you multiply 120,000 by .10 which you get 12,000

Then you just add it and you find the answer
5 0
3 years ago
Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?
Liono4ka [1.6K]

Answer:

i don't wanna tell u the wrong answer but I think it is A

Because it says 8 neclaces for EACH of her two friends

So i divided 11.52 by 16

So i got 0.72 I am sorry if it is wrong  Have a great day!

3 0
3 years ago
A box has 200 socks, 20 are blue and the rest are red. A person draws socks at random from the box, hoping to find a pair of blu
Sonbull [250]

Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...

3 0
2 years ago
For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.
Shtirlitz [24]

Answer:

1. T test for independent means

2. T test for dependent means

3. T test for dependent means

Step-by-step explanation:

In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.

- The groups in the experiment are unrelated

- The tests in the research are unrelated

- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.

In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.

5 0
3 years ago
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