Give the slope and the y-intercept of the line y = – 6x– 4. Make sure the y-intercept is written as
1 answer:
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Answer:
Bryson’s age is 14 years
Step-by-step explanation:
Let
x ----> Bryson’s age
we know that
Bryson’s age multiplied by 3 minus 4 must be equal to 38
so
The linear equation that represent this situation is
solve for x
Adds 4 both sides
Divide by 3 both sides
therefore
Bryson’s age is 14 years
Answer: Exponential function
Step-by-step explanation:
A linear function is the form , where m is the constant rate of change of y with respect to x and c is the y-intercept.
An exponential growth function is in the form , where r is the rate of growth (generally in percent) and A is initial value.
If the population of a certain type of seahorse grew by 13% from year to year, then the rate of growth is 13% .
Hence it is an exponential equation.
Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2