Using translation concepts, it is found that function g(x) is given by:
g(x) = x + 8.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, function g(x) is a translation 8 units left of f(x) = x, hence x -> x + 8 and:
g(x) = f(x +8) = x + 8.
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
Answer:
14
Step-by-step explanation:
divide 48 by 3 = 16
they must be consecutive even numbers
2 less than and two more than 16 are 14 and 18
14 + 16 + 18 = 48
the smallest is 14
Answer:
The initial bacteria population is 238
Step-by-step explanation:
Let us have the increase as an exponential equation
P(t) = I(1 + r)^t
where P(t) is the count at a particular time
r is the percentage increase
I is the initial population
t is the time
So for 5 minutes, we have
348 = I(1 + r)^5
For 20 minutes
1088 = I(1 + r)^20
Divide the second equation by the first
1088/348 = I(1 + r)^20/I(1 + r)^5
3.13 = (1 + r)^15
Take the ln of both sides
ln 3.13 = 15 ln (1 + r)
ln 3.13/15 = ln (1 + r)
0.0761 = ln (1 + r)
1 + r = e^0.0761
1 + r = 1.079
r = 1.079-1
r = 0.079 which is 7.9%
So per minute. we have an increase of 7.9%
So let’s get I by substituting
From;
348 = I(1 + 0.079)^5
348/1.079^5 = I
I = 237.9 which is 238 to the nearest whole number
Answer:
Step-by-step explanation:
A(7,1), B(5,-6)
(AB)² = (-6-1)² + (5-7)² = 53
AB = √53
The expressions are simplified to 2x and 
<h3>How to simply the expressions</h3>
1.
Given the expression;
Let's factorize the numerator;
Factor the common terms, we have;
2x
2. 
Find the Lowest common multiple
expand the brackets
collect like terms
Divide common terms
Thus, the expressions are simplified to 2x and
Learn more about algebraic expressions here:
brainly.com/question/4344214
#SPJ1
