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devlian [24]
3 years ago
6

Marika is training for tack race. She starts by sprinting 100 yards. She gradually increases her distance, adding 4 yards a day

for 21 days. Which explicit formula models this situation?
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
5 0

Answer:

A(n)= 100 + (n-1)4

Step-by-step explanation:

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Let​ T: set of real numbers R Superscript nℝnright arrow→set of real numbers R Superscript mℝm be a linear​ transformation, and
Klio2033 [76]

Answer:

\{T(v_1), T(v_2), T(v_3)\} is linearly dependent set.

Step-by-step explanation:

Given:  \{v_1,v_2,v_3\} is a linearly dependent set in set of real numbers R

To show: the set \{T(v_1), T(v_2), T(v_3)\} is linearly dependent.

Solution:

If \{v_1,v_2,v_3,...,v_n\} is a set of linearly dependent vectors then there exists atleast one k_i:i=1,2,3,...,n such that k_1v_1+k_2v_2+k_3v_3+...+k_nv_n=0

Consider k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0

A linear transformation T: U→V satisfies the following properties:

1. T(u_1+u_2)=T(u_1)+T(u_2)

2. T(au)=aT(u)

Here, u,u_1,u_2∈ U

As T is a linear transformation,

k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0\\T(k_1v_1)+T(k_2v_2)+T(k_3v_3)=0\\T(k_1v_1+k_2v_2+k_3v_3)=0\\

As \{v_1,v_2,v_3\} is a linearly dependent set,

k_1v_1+k_2v_2+k_3v_3=0 for some k_i\neq 0:i=1,2,3

So, for some k_i\neq 0:i=1,2,3

k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0

Therefore, set \{T(v_1), T(v_2), T(v_3)\} is linearly dependent.

6 0
3 years ago
What are the 3 different forms of a quadratic function and what do the variables in each represent?
Likurg_2 [28]

Answer:

general, factored, and vertex form.

general: y=ax^2+b^2+c

Factored: y=(x+a)(x+b)

Vertex: y=a(x-h)^2+k

Step-by-step explanation:

8 0
3 years ago
Name a capital letter that appears to have parallel lines
Ierofanga [76]
H is the answer........
8 0
3 years ago
Read 2 more answers
Ted has a shelf that is 75/4 inches wide. How many books can Ted arrange on the shelf if each book is 5/4 inches thick?
Paladinen [302]
(75/4) / (5/4) = 
75/4 * 4/5 = 
300/20 =
15 books

6 0
3 years ago
Which statement must be true according to the box plot? The data is symmetric, and the lowest number of crackers in a package wa
LUCKY_DIMON [66]

Answer:

C

Step-by-step explanation:

The data is skewed, and the lowest number of crackers in a package was 7

7 0
3 years ago
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