Answer:
f(x) = 30 • 0.989x
Step-by-step explanation:
Given the data :
10 26.8
20 23.9
30 21.3
40 19
50 16.9
60 15.1
Using technology, the exponential model equation obtained by plotting the data is :
y = 30.068(0.989)^x
Based on the general exponential formula :
y = ab^x
y = predicted value
Initial value, a = 30.068
Rate = b = 0.989
The most appropriate model equation from the options given is :
f(x) = 30 • 0.989^x
Answer:
Step-by-step explanation:
Given
Required
This is calculated as the number of women divided by the population of the class
i.e.
So, we have:
Answer:
64.8
Step-by-step explanation:
Step-by-step explanation:
it is a rectangle (usually).
so,
2×length + 2×width = 80
therefore, length + width = 40
length×width = 384
length = 384/width
384/width + width = 40
384 + width² = 40×width
width² - 40×width + 384 = 0
the general solution for such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = width
a = 1
b = -40
c = 384
width = (40 ± sqrt((-40)² - 4×1×384))/(2×1) =
= (40 ± sqrt(1600 - 1536))/2 =
= (40 ± sqrt(64))/2 = (40 ± 8)/2 =
= 20 ± 4
width1 = 20 + 4 = 24 cm
length1 = 40 - 24 = 16 cm
width2 = 20 - 4 = 16 cm
length2 = 40 - 16 = 24 cm
so, both solutions are the same.
the greeting card is 24×16 cm. or 16×24, depending on how you are holding it.
