B - 4.2 < -7.5
subtract b and 4.2
less then sign is <
then <-7.5
Answer:
Step-by-step explanation:
1) For each situation to grow or decay by a constant percent rate, it must be exponential. Therefore, the correct examples are
A. The number of cars sold doubles every year. It is a 200% growth every year.
D. Each time you start a car engine the remaining engine life decreases by 0.0075%. A case of decay
E. The number of people creating cat videos increases by 15% percent every year.
F. Computer technology increases by a factor of 3 every five years.
2) this is a case of exponential decay. The expression for exponential decay is
y = b(1 - r)^t
y = final value
b = initial value
r = decay rate
t = time
Given that
r = 10% = 10/100 = 0.1
b = 50 kilograms
y = W kilograms
The relationship is
W = 50(1 - 0.1)^t
W = 50(0.9)^t
Answer: 2 years
Step-by-step explanation:
The given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12 which are correct answers would be Options (A) and (D).
<h3>What is inequality?</h3>
Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The given statement as:
⇒ -12 ≤ -15
Since -12 and -15 are not equal and -15 is smaller than -12, the preceding statement is incorrect.
So the following statements are correct:
It is a false statement because -12 is not equal to -15.
It is a false statement because -15 is less than -12.
Hence, the given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12 which are correct answers would be Options (A) and (D).
Learn more about the inequality here :
brainly.com/question/20383699
#SPJ1
Answer:
Step-by-step explanation:
Looking at the given graph, the slope of the line is expressed as
Slope = (y2 - y1)/(x2 - x1)
y2 = 19.5
y1 = 9.5
x2 = 6
x1 = 1
Slope = (19.5 - 9.5)/(6-1)
Slope = 10/5 = 2
The successive terms is increasing by 2
The formula for the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a is the first term of the sequence
n is the number of terms in the sequence.
d is the common difference.
From the information given,
a = 9.5
Tn = an
d = 2
The explicit rule for the arithmetic sequence will be
an = 9.5 + 2(n-1)