Answer:
m= -7/5
Step-by-step explanation:
(x1,y1)=(3,4)
(x2,y2)=(8, -3)
Use the slope formula:
m = y2 - y1
x2 - x1
(-3-4)/ (8-3)
= -7/5
Answer:
<em>Maximum: (-1,9)</em>
Step-by-step explanation:
<u>Vertex form of the quadratic function</u>
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:

Where a is the leading coefficient.
We are given the following function:

To find the vertex, we need to complete squares. First, factor -2 on the first two terms:

The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:

Taking out the -1:

Factoring the trinomial and operating:

Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)
Answer:
4y-9
Step-by-step explanation:
y is the number, 4 times the number = 4y
so 4y-9
<span>1 - 2.25x</span>⁸ =
1² - (1.5x⁴)² =
(1 + 1.5x⁴)(1 - 1.5x⁴)
In standard form, zero is always on the right:
y = 12 - x^4
y + x^4 - 12 = 0
End behavior:
As x approaches ∞, y approaches -∞
As x approaches -∞, t approaches -∞