Answer:
a) The rate of change is 3.5
b) The rate of change represents the price of a single cookie. $3.5
Step-by-step explanation:
a) To determine the rate of change along the graph, select a pair on the graph as;
(2,7) and (8,28)
Rate of change, m= change in y/change in x
m=28-7/8-2 = 21/6 =7/2 = 3.5
b)
The equation of the relationship can be written as;
y=3.5 x + 0 where y is the amount collected and x is the number of cookies sold.
The slope here represents the price per cookie in $, $3.5
The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.
This means
Answer:
Ok, we know that we can write a horizontal translation as:
y' = f(x - A)
where if A is positive, this moves the graph of f(x) A units to the right.
Why is this?
Ok, let's compare:
y = f(x)
and
y' = f(x - A)
in y, when x = 0 we have f(0).
While to have this same point in y', we need to evaluate in x = A.
f(A - A) = f(0).
Then the value f(0) is now at x = A, this means that the point moved A units to the right.
And you can do this for all the values, so you will find that the entire graph of f(x) has ben moved A units to the right.
Answer:
j = 5
Step-by-step explanation:
16j + -6j + -12j = -10
Combine like terms
10j -12j = -10
-2j = -10
Divide by -2
-2j/-2 = -10/-2
j = 5
Answer:
V
≈
3141.59cm³
Step-by-step explanation: