Question

В функции y=kx найдите k, если: 1) f(2)=6 2) f(4)=-323) f(3)=274) f(7)=-355 f(0,5)=4

Answer 1

1)6=к*2
к=3,
2)-32=к*4
к=-8,
3)27=к*3
к=9,
4)-35=к*7
к=-5,
5)4=к*0,5
к=8.

Answer 2

To find the value of k in the function y = kx, we can use the given points where the function is evaluated. In each case, we will substitute the given x-values and corresponding y-values into the function and then solve for k.

Let's solve it step by step for each case:

1. f(2) = 6: Substitute x = 2 and f(x) = 6 into the function: 6 = k * 2

Now, solve for k: k = 6 / 2 k = 3

So, the value of k for the first case is 3.

2. f(4) = -32: Substitute x = 4 and f(x) = -32 into the function: -32 = k * 4

Now, solve for k: k = -32 / 4 k = -8

So, the value of k for the second case is -8.

3. f(3) = 27: Substitute x = 3 and f(x) = 27 into the function: 27 = k * 3

Now, solve for k: k = 27 / 3 k = 9

So, the value of k for the third case is 9.

4. f(7) = -35: Substitute x = 7 and f(x) = -35 into the function: -35 = k * 7

Now, solve for k: k = -35 / 7 k = -5

So, the value of k for the fourth case is -5.

5. f(0.5) = 4: Substitute x = 0.5 and f(x) = 4 into the function: 4 = k * 0.5

Now, solve for k: k = 4 / 0.5 k = 8

So, the value of k for the fifth case is 8.

To summarize:

1. k = 3
2. k = -8
3. k = 9
4. k = -5
5. k = 8