Answer:
Given the function:
The rule of reflection across the x-axis is given by:
Apply the reflection over the x-axis on the given function we have;
Multiply both sides by -1 we get;
or
Therefore, function represents a reflection f(x)=3/7(2)^x over the x-axis is, 
Answer:
New point (x+6, y-4)
Step-by-step explanation:
Given:
Points = (x , y)
Mapping
6 units to the right
4 units down
Find:
New point
Computation:
On line X, numbers are add on move right side
So,
x+6
On line Y, numbers are subtract on move down
So,
y-4
New point (x+6, y-4)
Tyler's $1,000 investment will be worth $1,240 after 6 years, invested at 4% interest rate.
The problem gives the following relevant data:
Principal = $1000
Interest rate = 4% simple interest
Term or time period = 6 years
Since simple interest is given, we need to use the simple interest formula;
I = P x R x T
where: P is the principal, R is the interest rate, and T is the time the money will be invested.
I = $1000 x 4% x 6yrs
I = $1000 x 0.04 x 6
I = 40 x 6
I = 240 ==> Interest earned after 6 years is $240.
Total Investment = Principal + Interest
T.I. = $1,000 + $240
T.I. = $1,240 ==> the value of Tyler's investment after 6 years.
12 - 3b < 9
12 (-12) - 3b < 9 (-12)
-3b < -3
-3b/-3 < -3/-3
(note when dividing a negative number, flip the inequality sign)
b > 1 is your answer
hope this helps
