Answer: Average rates of change for Bird A is 0.045 and for Bird B is 3.816.
Step-by-step explanation: Through its graph, a function can be analyzed and be identified its attributes. Average Rate of Change is the ratio of change in the function values to the change of x-value, i.e., it is the slope of the function in a specific interval of x. With the Average it is possible to compare two function.
<u>Average Rate of Change</u>
<em><u>Bird A</u></em>:
For the interval [0,18]:
x₁ = 0 f(0) = 8.3
x₂ = 18 f(18) = 9.1
Average = 
Average = 
Average = 0.045
<em><u>Bird B</u></em>: y = 3.6(1.06)x
For the interval [0,18]:
x₁ = 0 y = 3.6(1.06)0 = 0
x₂ = 18 y = 3.6(1.06)18 = 68.7
Average =
Average = 
Average = 3.816
The Average Rate for Change for Bird A is 0.045 and for Bird B is 3.816. This means that the population of Bird B increase in rate faster than the population of Bird A.
Respuesta:
Sí, tienen el mismo descuento del 40%
Explicación paso a paso:
Dado :
PANTALÓN :
Precio inicial = 150
Precio con descuento = 90
Porcentaje de descuento en el precio:
(150 - 90) / 150 * 100%
60/150 * 100%
0,4 * 100
= 40%
CAMISA:
Precio inicial = 40
Precio con descuento = 24
Porcentaje de descuento en el precio:
(40-24) / 150 * 100%
16/40 * 100%
0,4 * 100
= 40%
Sí, tienen el mismo descuento del 40%
Hey there :)
We know the area formula of a triangle
We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9
Apply the formula
56 =
× ( p ) × ( p - 9 )
56 =
× ( p² - 9p )
Divide
on both sides
56 ÷
= p² - 9p
112 = p² - 9p
Bring 112 to the other side and equate equation to 0
p² - 9p - 112
Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
↓ ↓
p = 16 p = - 7 ← Reject p = - 7 since length cannot be negative
So, the length of the base is 16 mCheck:
56 m² =
× 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²
We can use the points (1, 10) and (-8, 3) to solve.
Slope formula: y2-y1/x2-x1
= 3-10/-8-1
= -7/-9
= 7/9
Best of Luck!
