Step-by-step explanation:
The Angle Addition Postulate de fusteer Key. Date ... 99° and MZLMF = 36º. Find m2LMN. 6) Find mZWDC if IZEDC = 145° and mZEDW= 61°. N of w. C ... 11) mZHGF = 16x + 4, m EGF = 110°,. 12) mZVUT = 175° ... a H, 16X+4=110 + 3x +11
Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width = 
Area = l*w = 
Use derivative test
I derivative = 
II derivative = 
Equate I derivative to 0 and consider positive value only since we want maximum
p = 
Thus width= 
Length =
Width = 
7 x 6 is 42 hope that helps
f(x) = x² + 7
g(x) = -3x + 1
h(x) = 12/x
j(x) = 2x + 9
a. g(10) = -3(10) + 1 = -20
b. f(3) = 3² + 7 = 9 + 7 = 16
c. h(-2) = 12/(-2) = -6
d. j(7) = 2(7) + 9 = 23
e. h(a) = 12/a
f. g(b+c) = -3(b+c) + 1 = -3b - 3c + 1
g. f(h(x)) = f(12/x) = (12/x)² + 7 = 7 + 144/x²
h. 16 = g(x) = -3x + 1, -3x = 15, x = -5
i. -2 = h(x) = 12/x, x = 12/(-2), x = -6
j. 23 = f(x) = x²+7, 16=x², x=±4
Answer:
Discount = .64
New price = 7.31
Step-by-step explanation:
To find the discount, take the price times the discount rate
7.95 * 8%
7.95 *.08
.636
Rounding to the nearest cent
.64
We take 64 cents off
The new price would be
7.95-.64 =7.31