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kirill115 [55]
3 years ago
7

Which sentences in the passage are true concerning a function?

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

Answer:

A function is a predefined formula that performs calculations using specific values in a particular order. All spreadsheet programs include common functions that can be used for quickly finding the sum, average, count, maximum value, and minimum value for a range of cells.

Step-by-step explanation:

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Prove that if {x1x2.......xk}isany
Radda [10]

Answer:

See the proof below.

Step-by-step explanation:

What we need to proof is this: "Assuming X a vector space over a scalar field C. Let X= {x1,x2,....,xn} a set of vectors in X, where n\geq 2. If the set X is linearly dependent if and only if at least one of the vectors in X can be written as a linear combination of the other vectors"

Proof

Since we have a if and only if w need to proof the statement on the two possible ways.

If X is linearly dependent, then a vector is a linear combination

We suppose the set X= (x_1, x_2,....,x_n) is linearly dependent, so then by definition we have scalars c_1,c_2,....,c_n in C such that:

c_1 x_1 +c_2 x_2 +.....+c_n x_n =0

And not all the scalars c_1,c_2,....,c_n are equal to 0.

Since at least one constant is non zero we can assume for example that c_1 \neq 0, and we have this:

c_1 v_1 = -c_2 v_2 -c_3 v_3 -.... -c_n v_n

We can divide by c1 since we assume that c_1 \neq 0 and we have this:

v_1= -\frac{c_2}{c_1} v_2 -\frac{c_3}{c_1} v_3 - .....- \frac{c_n}{c_1} v_n

And as we can see the vector v_1 can be written a a linear combination of the remaining vectors v_2,v_3,...,v_n. We select v1 but we can select any vector and we get the same result.

If a vector is a linear combination, then X is linearly dependent

We assume on this case that X is a linear combination of the remaining vectors, as on the last part we can assume that we select v_1 and we have this:

v_1 = c_2 v_2 + c_3 v_3 +...+c_n v_n

For scalars defined c_2,c_3,...,c_n in C. So then we have this:

v_1 -c_2 v_2 -c_3 v_3 - ....-c_n v_n =0

So then we can conclude that the set X is linearly dependent.

And that complet the proof for this case.

5 0
3 years ago
A car travels at a rate of 45 miles per hour for 5 hours. Let y be the distance, in miles, the car travels for a given amount of
Nuetrik [128]

Answer:

0 ≤ x ≤ 5

Step-by-step explanation:

I used the Desmos calculator

6 0
3 years ago
a shoreline is changing -3 centimeters each year due to erosion. what is the change in shoreline over 6 years?
NikAS [45]

Answer:

-18

Step-by-step explanation:

3 0
3 years ago
Helpppppppppppppppppppppp plsssssssssssssssss<br> m∠b= 25°
Murljashka [212]

Answer:

Step-by-step explanation:

The total of all angles in the triangle is 180

You already know 2 values for the triangle, Angle A 25 as well as Angle C 90

Your formula is

180 - 90 -25

8 0
3 years ago
What is x in the equation please help.
iogann1982 [59]

Answer:

6

Step-by-step explanation:

vbgdfbgdf bbn bgdfjszvhy

3 0
3 years ago
Read 2 more answers
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