Step-by-step explanation:
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
These are examples of exponential equations:
y = a bˣ
If b > 1, the equation is exponential growth.
If 0 < b < 1, the equation is exponential decay.
So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.
Also, 2/3 is the inverse of 3/2, so:
g(x) = (3/2)^(-x)
So more specifically, f(x) and g(x) are reflections of each other across the y-axis.
Part A
The first thing we must do for this case is to rewrite both expressions.
We have then:
1/2 (7x + 48) = (7/2) x + 24
- [1 / 2x - 3] + 4 (x + 5) = - (1/2) x + 3 + 4x + 20 = (7/2) x + 23
Answer:
We note that the first expression is greater than the second for all values of x.
Part B:
A new expression that is greater than both written expressions is:
(7/2) x + 25
For all values of x, this expression is always greater.
Answer:
(7/2) x + 25
Subtract 12 seconds from 11.7 seconds
The Answer is .3
Step-by-step explanation :
Dado que Conner y Jana se multiplican (3568)(39610). El trabajo de Conner El trabajo de Jana (3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) = 35⋅968⋅10 = 345680 ¿Es correcto cualquiera de ellos?
Jana y Conner están multiplicando dos números dados. Así que la pregunta es
3568 x 39610
0000
3568x
21408xx
32112xxx
10704xxxx
--------------------------------------
141328480
Así que la respuesta correcta es 141328480.
También los números se pueden agrupar como
3568 = 3000 + 500 + 60 + 8
39610 = 30000 + 9000 + 600 + 10
Después de agrupar multiplicando ambos términos obtenemos la respuesta requerida.
Así que ninguno de los dos tiene la respuesta correcta.
Answer:
M/140 = 50/60
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60