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lana [24]
3 years ago
11

Let T : V → W be a linear transformation from vector space V into vector space W.

Mathematics
1 answer:
wel3 years ago
7 0

Explanation:

Since {v1,...,vp} is linearly dependent, there exist scalars a1,...,ap, with not all of them being 0 such that a1v1+a2v2+...+apvp = 0. Using the linearity of T we have that

a1*T(v1)+a2*T(v1) + ... + ap*T(vp) = T(a1v19+T(a2v2)+...+T(avp) = T(a1v1+a2v2+...+apvp) = T(0) = 0.

Since at least one ai is different from 0, we obtain a non trivial linear combination that eliminates T(v1) , ..., T(vp). That proves that {T(v1) , ..., T(vp)} is a linearly dependent set of W.

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If the function f(x)=x^3 has the domain {-3, 0, 2, 4}, what is its range?
mash [69]

Answer: {-16,4,92}. 2) {-16,10 ,42}. 3) {0,10,42}. 4) {0,4,92}. 5 The function f(x) = 2x. 2 + 6x - 12 has a domain.

Step-by-step explanation:

8 0
3 years ago
Suppose a fair 6-sided die is tossed five times. What is the probability that we see at least one three in the five tosses?
Marta_Voda [28]

Answer:

C. 0.1667

Step-by-step explanation:

1/6 +0/6 + -1/6

The closest answer is C. 0.1667

Based on 2nd throw of dice shows zero then  0.1667 of the answer is shown on the 3rd throw in decimal form of -1/6

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3 years ago
Simplify the expression. 4√ 6+ 5√6
pshichka [43]

Answer:

9√6

Step-by-step explanation:

4√6+5√6

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5 0
3 years ago
For which function does f decrease by 15% every time x increases by 1
LenaWriter [7]

Answer:

f(x) = 0.85^{x}

Step-by-step explanation:

The exponential function that decrease by 15% every time x increases by 1 is given by:

f(x) =  {(1 - 0.15)}^{x}

We simplify the parenthesis to get:

f(x) = 0.85^{x}

Therefore the decrease by 15% every time x increases by 1 is

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The second choice is correct.

7 0
3 years ago
Plz help cause idk what to do
mixer [17]

Answer:

<em>-9.5 + 6x ≥ 42.1 </em>

<em>6x ≥ 51.6</em>

x ≥ 8.6

Here, we can see that x is greater than or equal to 8.6. So, we can say that 8.6 is the lowest value of x

but we have 2 options with 8.6 as the lowest term, we can see that the brackets are different in the beginning

the '[' bracket tells us to include 8.6 in the values of x whereas the '(' bracket tells to exclude 8.6 from the possible values of x

since we know that x is greater than or equal to 8.6, we will use the '[' bracket

Hence, b is your answer

<em></em>

<em>PS: i need one brainly to reach the next rank, if you find this answer helpful. Mark Brainliest </em>

8 0
3 years ago
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