Equation B is written in vertex form, which means you can read the vertex (extreme value) from the numbers in the equation.
Vertex form is
y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.
Equation
B reveals its extreme value without needing to be altered.
The extreme value of this equation is a
maximum at the point
(2, 5).
Answer:
7. is G
8. f(4)=-120
Step-by-step explanation:
7. les do f(0)=4 since its the easiest
F. f(0)=0.4(0+5)(0-2)
0.4*-2*5=-4 NOT IT. the ans. is +
G. f(0)=-0.4(0+5)(0-2)
-0.4*-2*5=4 YESSSSSS
H. f(0)=-0.4(0-5)(0+2)
-0.4*2*-5=4 YESSSSSS
J. f(0)=0.4(0-5)(0+2)
0.4*2*-5=-4 NOT ITTTT
so G n H
Put both equation=0
G. 0=-0.4(x+5)(x-2)
x=-5,2 YASSSS this is the ans.
Hello LovingAngel!
To find the slope, you can use the formulas
as well as
. I am using the latter to calculate and ensuring my answer with the former.
[Note: (x,y) is the format for ordered pairs]
First pair: value 1:(1,5) and value 2:(2,8)
->
->
or 3.
The slope for (1,5) and (2,8) is 3(/1). Second pair: value 1: (3,1) value 2 (3,-1)
->
->
Slope for the second pair is -2/0Checking work with
1. Slope: 3/1, meaning rise (y) +3 and run (x) +1. (1,5) -> (1+1,5 + 3) -> (2,8) ✔
2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>
The area <em>A</em> of a trapezoid with height <em>h</em> and bases <em>b</em>₁ and <em>b</em>₂ is equal to the average of the bases times the height:
<em>A</em> = (<em>b</em>₁ + <em>b</em>₂) <em>h</em> / 2
We're given <em>A</em> = 864, <em>h</em> = 24, and one of the bases has length 30, so
864 = (<em>b</em>₁ + 30) 24 / 2
864 = (<em>b</em>₁ + 30) 12
864 = (<em>b</em>₁ + 30) 12
72 = <em>b</em>₁ + 30
<em>b</em>₁ = 42
