I need need help on the double. #pawpatrol
1 answer:
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First, find the slope (m) using the formula:
m = =
= 0
Next, input the slope and ONE of the points into the point-slope formula:
y - y₁ = m(x - x₁) ; where (x₁, y₁) is the chosen point
y - (-5) = 0(x - (-1))
y + 5 = 0
y = -5
Answer: y = -5
(2, 5) and (5, 8) are the solutions to the system of equations.
We have
and 
.
Let's substitute
for 
in . We get 
. Now, factor to solve for 
.
Now, substitute each value of into one of the original equations to solve for .
We have
Let's substitute
Now, substitute each value of
Remember that to determine the average rate of change over an interval, you can use the formula f(b) - f(a) / b - a. Remember that we have to find the average rate of change over the interval [0, 3].
(1) Given our table, we know that g(3) = 5, and and g(0) = - 13. Respectively b = 3, and a = 0. Let's substitute,
The average rate of change of the table is hence 6.
(2) Here we are given that our function has an x-intercept of (3,0), and a y-intercept of (0,6). Therefore p(3) = 0, and p(0) = 6. And of course b = 3, and a = 0,
The average rate of change of 'function p' is - 2.
(3) If you take a look at the graph, f(3) = 5, and f(0) = - 4. Let's substitute,
Hence the average rate of change of the graph is 3.
(4) Knowing the equation we can solve for r(3) and r(0) by plugging in 3 and 0 for x. Let's do it,
r(3) = (3)² + 2(3) - 5 = 9 + 6 - 5 = 10,
r(0) = (0)² + 2(0) - 5 = - 5
Now let's substitute into the formula f(b) - f(a) / b - a,
The average rate of change of the equation is 5.