Answer:
Pair 1.
Step-by-step explanation:
On pair 1, shape A can go into shape B with a rotation.
Pair 2 would be a translation.
Pair 3 would be a reflection across the x-axis.
Pair 4 would be a reflection across the y-axis.
Answer:
D. She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.
Step-by-step explanation:
Find the rate of change between first two ordered pairs and the second two ordered pairs:
1. Points (2,4) and (3,9). Rate of change:

2. Points (3,9) and (4,16). Rate of change:

The rate of change for the linear function must the same for each two points on the graph of the function. In this case, the reate of change differs, so this function is not linear and correct option is D.
Answer:
x = 1/3
Step-by-step explanation:
f(x) = -3x^2 + 2x-17
This is in the form
ax^2 +bx+c
a = -3 b = 2 c = -17
The axis of symmetry is at
x = -b/2a
x = -2/ (2*-3)
x = -2/-6
x = 1/3
We start with

We can factor x at the numerator:

So, assuming
(otherwise the expression would make no sense) we can simplify it:

This equation has no roots, so we can't simplify it any further.
Factorize the numerator and denominator, then simplify:
10/45 = (2×5)/(9×5) = 2/9
Now,
1/9 = 1/10 + 1/90
1/90 = 1/10 × 1/9 = 1/10 × (1/10 + 1/90) = 1/100 + 1/900
1/900 = 1/100 × 1/9 = 1/100 × (1/10 + 1/90) = 1/1000 + 1/9000
and so on, which is to say
1/9 = 1/10 + 1/100 + 1/1000 + …
or
1/9 = 0.111…
so that multiplying both sides by 2 gives
2/9 = 0.222…