we have
the vertex of the function g(x) is the point
the vertex of the function f(x) is the point
so
the rule of the translation of g(x) to f(x) is
(x,y)------> (x,y-4)
that means
the translation is units down
therefore
the equation of the function f(x) is
therefore
<u>the answer is</u>
We know that
When two chords intersect each other inside a circle, the products of their segments are equal (Intersecting Chord Theorem)
so
AE*EB=DE*EF-----> EB=DE*EF/AE
AE=4 in
DE=12 in
EF=8 in
EB=?
EB=DE*EF/AE
EB=12*8/4-----> EB=24 in
Step-by-step explanation:
so each ticket is $8 so thats going to be 8x.There are 5 friends so you pay for 5 tickets they buy small bag of popcorn so let that have a variable of.p. then they spend a total of 62.50.
62.50=8(5)+p
62.50=40+p
-40. -40
22.50=p
so the 5 small bags of popcorn costs $22.50
Answer:
The exponential function is Y = 200 [1.07]ˣ
Step-by-step explanation:
Let Y represent the expected population
Let P represent the current population
Let r represent the population growth rate
let x represent the number of years or nth year.
The compound interest expression can used to derive the exponential function can be represented as follows
Y = P [1 + (r ÷ 100)]ˣ
Y = 200 [ 1 + (7 ÷ 100)]ˣ
Y = 200 [ 1 + (0.07)]ˣ
Y = 200 [1.07]ˣ