Answer:
D.5/14
Because 4 appeared five times over the total
Answer:
2nd statement describes the relation between graph of f(x) and graph of g(x).
Step-by-step explanation:
We are told that graph of
and we are asked to choose the correct statement that describes the relation between graph of f(x) and graph of g(x).
The rules for the translation are as follows:



Upon comparing our given translation with above rules we can see that our parent graph f(x) is shifted down by 1 unit to get our new graph g(x).
Therefore, graph of g(x) is the graph of f(x) translated 1 unit down and 2nd option is the right choice.
Answer:
There must be 35 red marbles.
Step-by-step explanation:
This question can be solved using a rule of three.
A probability is the number of desired outcomes divided by the number of total outcomes.
The probability of randomly choosing a red marble is 7/9.
This means that for each set of 9 marbles, 7 must be red.
There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
How many red marbles out of 45?
7 red - 9 marbles
x red - 45 marbles

Simplifying by 9


There must be 35 red marbles.
Answer:
(a + b + c)(a + b - c)
Step-by-step explanation:
(a + b)² - c² ← is a difference of squares and factors in general as
x² - y² = (x + y)(x - y)
Here x = a + b and y = c , then
(a + b)² - c²
= (a + b + c)(a + b - c)
Part A:
Total boards = 3 sections of 4 boards = 12 boards
Alex paints: 1/6 of 12 boards = 2 boards
Bobby paints: 2 x Alex = 1/3 of 12 boards = 4 boards
Charles paints: 1 board
David paints: 12 - (Alex + Bobby + Charles) = 12 - 7 = 5 boards
-This means that David painted the largest part of the fence
Part B:
The fraction of the fence that David painted = 5 boards /12 total boards = 5/12