Answer:
A.
Step-by-step explanation:
Sub in the (x,y) points given into the equation to see if true ....you'll find A is the answer
Example point (3,95 ) 95 = -10.375 (3) + 126.125 ??
95 = 95 Check !
then try the other point ( 11,12) to be sure ....
Refer to the diagram shown below.
When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)
Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)
From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.
From (1) and (2), obtain
225a + k = 15
2025a + k = 6
Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft
Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125
A graph of the solution verifies that the solution is correct.
Answer:
5(x-3)
Step-by-step explanation:
Answer:
(3,1)
Step-by-step explanation:
y=-4x^2+24x-35
x-intercept of the vertex formula:
v=-b/2a
a=-4
b=24,
c=-35
v = - 24/2(-4)
v = -24/-8
v = 3
substitute x as v
y= -4(3)^2 + 24(3) - 35
y= -4(9) + 72 - 35
y = -36 +72 - 35
y = 36 - 35
y = 1
therefore the vertex is
(3,1)
In mathematical notation, ∑ means summation. So wherever you see the symbol, you have to sum over all elements in the set. Let's solve the question.
a. ∑m means, to sum all elements in the set m: ∑m = 12 + 15 + 20 + 30 = 77
b. ∑
means to sum all elements in the set f as the square of the elements f = 
c. ∑mf means to sum all elements as the product of the elements of m and f = (12×5) + (15×9) + (20
10) + (30×16) = 875
d. ∑
means to sum all elements as the product of the square of m and f = 