Someone please help me thank you.

Mathematics

1 answer:

Andrews [41]3 years ago

3 0

9514 1404 393

Answer:

k = 8

Step-by-step explanation:

A slope of 3 means that y increases by 3 when x increases by 1.

The second point (2, k) has an x-value (2) that is 1 more than the x-value (1) of the first point (1, 5). This means the y-value (k) of the second point (2, k) will be 3 more than the y-value (5) of the first point (1, 5).

k = 5 + 3 = 8

You might be interested in

Evaluate the function f(x)= x^2 + 2x + 8 at the given values of the independent variable and

tresset_1 [31]

Question a:
f(6) = (6)² + 2(6) + 8

f(6) = 36 + 12 + 8

f(6) = 56

Question b:
f(x+4) = (x+4)² + 2(x+4) + 8

f(x+4) = x² + 8x + 16 + 2x + 8 + 8

f(x+4) = x² + 10x + 32

Question c:
f(-x) = (-x)² + 2(-x) + 8

f(-x) = x - 2x + 8

8 0

3 years ago

In the regular decagon shown, what is the measure of angle 1?

NeX [460]

Answer:

try 36 but im not quite sure

Step-by-step explanation:

im sry if im wrong have a good rest of your day :)

6 0

2 years ago

A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 2 as in 4, is not

GREYUIT [131]

All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.

That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If $x_i$ is the component for state $i$ , then you have

$x_1+x_2+x_3+x_4=1\iff 0.2+4x_4+0+x_4=1\implies5x_4=0.8\implies x_4=0.16$

which means $x_2=4x_4=0.64$ . So the state vector is $\mathbf x=(0.2,0.64,0,0.16)$ .