Find the equation of the exponential function represented by the table below: 2
y
0.1
1
0.05
2
0.025
3 0.0125

The exponential equation is;

y = 0.1•0.5^x

Step-by-step explanation:

Here, we want to get the exponential function represented by the table

Mathematically, the general form of an exponential function is;

y = a•b^x

By getting a and b, we have the exponential function

We can use any of the points;

Let us start with (0,0.1)

0.1 = a•b^0

anything raised to zero is 1

0.1 = a * 1

a = 0.1

Now, we have a

Let us work with the second point to get b

The point is (1,0.05)

0.05 = 0.1•b^1

0.05 = 0.1b

b = 0.05/0.1

b = 0.5

Thus, we have the equation as;

y = 0.1•0.5^x

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

it is not that hard all u have to do is plot the graph

step-by-step explanation: