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andriy [413]
2 years ago
6

Which pair of functions are inverses of each other? ​

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
3 0

Answer:

D

Step-by-step explanation:

f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →

g(x) = (x + 5)/10

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let x1,x2, and x3 be linearly independent vectors in R^(n) and let y1=x2+x1; y2=x3+x2; y3=x3+x1. are y1,y2,and y3 linearly indep
Nutka1998 [239]

Answer with Step-by-step explanation:

We are given that

x_1,x_2 and x_3 are linearly independent.

By definition of linear independent there exits three scalar a_1,a_2 and a_3 such that

a_1x_1+a_2x_2+a_3x_3=0

Where a_1=a_2=a_3=0

y_1=x_2+x_1,y_2=x_3+x_2,y_3=x_3+x_1

We have to prove that y_1,y_2 and y_3 are linearly independent.

Let b_1,b_2 and b_3 such that

b_1y_1+b_2y_2+b_3y_3=0

b_1(x_2+x_1)+b_2(x_3+x_2)+b_3(x_3+x_1)=0

b_1x_2+b_1x_1+b_2x_3+b_2x_2+b_3x_3+b_3x_1=0

(b_1+b_3)x_1+(b_2+b_1)x_2+(b_2+b_3)x_3=0

b_1+b_3=0

b_1=-b_3...(1)

b_1+b_2=0

b_1=-b_2..(2)

b_2+b_3=0

b_2=-b_3..(3)

Because x_1,x_2 and x_3 are linearly independent.

From equation (1) and (3)

b_1=b_2...(4)

Adding equation (2) and (4)

2b_1==0

b_1=0

From equation (1) and (2)

b_3=0,b_2=0,b_3=0

Hence, y_1,y_2 and y_3 area linearly independent.

5 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST
julsineya [31]

Answer: the third one

Step-by-step explanation: bcuz I’m Albert instine ;)

4 0
3 years ago
Does anyone know how to answer this problem?<br>Here's the picture.​
horsena [70]

Answer:

3 \frac{46}{81}

Step-by-step explanation:

change 1 \frac{8}{9} to an improper fraction

1 \frac{8}{9} = \frac{17}{9} , thus

\frac{17}{9} × \frac{17}{9} = \frac{289}{81} = 3 \frac{46}{81} or 3.57 ( to 2 dec. places )

5 0
3 years ago
Read 2 more answers
If you spend $60 per month on a cell phone plan, how much should you budget each week for that
natulia [17]

Answer: $15

There are about 4 weeks in a month, so if you spend $60 per month, you would spend 1/4 of that every week.

60/4= $15

8 0
3 years ago
Read 2 more answers
Find the sum of 5 smallest consecutive whole numbers. Not 15
gogolik [260]

Answer:

10

Step-by-step explanation:

0 is the first whole number

The 5 smallest consecutive whole numbers:

0 , 1 , 2 , 3, 4

Add

0 + 1 + 2 + 3 + 4

10

Hope this helps :)

6 0
3 years ago
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