Answer:
A
Step-by-step explanation:
The slope in a slope-intercept equation is the coefficient of x.
In A, the slope is a 4/3, which is positive
In B, the slope is a -5, which is negative
Answer: The system of equations is
40x + 55y = 920
40x + 65y = 1000
x is the cost of the adult ticket; y is the cost of the child ticket
Step-by-step explanation:
If you have to solve this, elimination is a good method.
Subtract the top equation from the second equation.
40x + 65y = 1000
<u>-40x + 55y = 920 </u> x cancels Solve for y
0 + 10y = 80 Divide both sides by 10
y = 8 . Substitute 8 for y in either equation and solve for x
40x + 65(8) = 1000
40x + 520 = 1000 Subtract 520 from both sides
40x = 1000 - 520
40x = 480 Divide both sides by 40
x = 12
Answer:
1/2-1/2-1/2
Step-by-step explanation:
Thank me later
Answer:
When we have a function f(x), the average rate of change in the interval (a, b) is:
In this case, we have the function:
f(x) = (x + 3)^2 - 2
(but we do not have the interval, and I couldn't find the complete question online)
So if for example, we have the interval (2, 4)
The average rate of change will be:
If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).
Such that the rate of change, in this case, will be:
f'(x) = df/dx
For a function like:
g(x) = x^n + c
g'(x) = n*x^(n - 1)
And for:
h(x) = k( g(x))
h'(x) = k'(g(x))*g'(x)
So here we can write our function as:
f(x) = k(g(x)) = (x + 3)^2 - 2
where:
g(x) = x + 3
k(x) = x^2 - 2
Then:
f'(x) = 2*(x + 3)*1 = 2*x + 6
That is the rate of change as a function of x (but is not an "average" rate of change)