Answer:
Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.
Step-by-step explanation:
We are asked to describe the transformation of function
as compared to the graph of
.
We can write our transformed function as:


Now let us compare our transformed function with parent function.
Let us see rules of transformation.
,
,
Scaling of a function: 
If a>1 , so function is stretched vertically.
If 0<a<1 , so function is compressed vertically.
As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.
As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.
Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.
Answer:
I do not know
Step-by-step explanation:
Answer:
El orden de mayor a menor es:
54.45
; 32.245
; 23.4
; 8/9
; 15/20
; 50/100
; 4/10
; 0.056
; 9/1000
Step-by-step explanation:
El mayor número será el que tenga el mayor entero, o si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha, o si tienen el mismo se observa el siguiente decimal y así sucesivamente.
Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.
Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:
23.4
15/20= 0.75
32.245
0.056
4/10= 0.4
50/100= 0.5
8/9= 0.8888
0.009
9/1000= 0.009
54.45
Entonces <u><em>el orden de mayor a menor es:
</em></u>
<u><em>
54.45
; 32.245
; 23.4
; 8/9 = 0.8888
; 15/20 = 0.75
; 50/100 = 0.5
; 4/10 = 0.4
; 0.056
; 9/1000 = 0.009</em></u>
Answer: 16
Step-by-step explanation:
The question seeks to know the largest number of people that can sit in each row.
To answer this, find the Highest Common Factor of the numbers 48 and 64.
Factors of 48 ⇒ 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
Factors of 64 ⇒ 1, 2, 4, 8, 16, 32 and 64
Because the teacher wants the rows to be equal with either only boys or only girls sitting in them, the highest number of people that can sit in a row will be 16.
There will be 7 rows in total.
Boys ⇒ 48/ 16 = 3 rows
Girls ⇒ 64/16 = 4 rows
To determine the number of possible arrangements for 6 out of 8, we should use combinations. That is
ₐC₆ = 8!/(6!2!)
Answer: b. Combination