Step-by-step explanation: Given that the co-ordinates of the vertices of ΔTOY are T(−3, 4), O (−4, 1), and Y (−2, 3). A translation maps point T to T' (−1, 1).

We are to find the co-ordinates of the points O' and Y'.

The given transformation from T to T' is

T(−3, 4) ⇒ T' (−1, 1).

Let, (−3 + x, 4 + y) = (-1, 1).

So,

and

That is, the transformation rule is

(a, b) ⇒ (a+2, b-3).

Therefore,

co-ordinates of O' are (-4+2, 1-3) = (-2, -2),

and

co-ordinates of Y' are (-2+2, 3-3) = (0, 0).

Thus, the required co-ordinates of O' and Y' are (-2, -2) and (0, 0) respectively.

Option (A) is correct.

8 0

3 years ago

What is the average rate of change of the function

Reptile [31]

Answer:

Average rate of change $=-35.7084$

Step-by-step explanation:

Given function is $f(x)=480(0.3)^x$ and we need to find average rate of change of the function from $x=1\ to\ x=5$ .

Average rate of change $=\frac{f(b)-f(a)}{b-a}$

So,

$here\ b=5\ and\ a=1\\f(5)=480(0.3)^5\\=480\times0.00243=1.1664\\and\\f(1)=480(0.3)^1\\=480\times0.3=144$

Average rate of change

$=\frac{f(b)-f(a)}{b-a}\\\\=\frac{f(5)-f(1)}{5-1}\\\\=\frac{1.1664-144}{5-1}\\\\=\frac{-142.8336}{4}= -35.7084$

Hence, average rate of change of the function $f(x)=480(0.3)^x$ over the intervel $x=1\ to\ x=5$ is $=-35.7084$ .

5 0

3 years ago

Help me pls? with math!!!

rewona [7]

Answer:

pick number 3

Step-by-step explanation:

5 0

2 years ago

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