Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is 
= 
= - 2.5
Answer:
The answer should be 3.3/4
Step-by-step explanation:
Answer:
$478
Step-by-step explanation:
After 20 years, William will have a total of $3,513.94
After 20 years, Nolan will have a total of $3,991.93
Difference = $478
William:
2300[1 + (.02125 ÷ 4)]^4 · 20
2300 · (1 + .0053125)^80
2300(1.5278)
$3,513.94
Nolan:
2300[1 + (.0275 ÷ 12)]^12 · 20
2300 · (1 + .0023)^240
2300(1.7356)
$3,991.93
Answer:
39.275
Step-by-step explanation:
the diameter of the semicircle is 10
A semicircle is half a circle, and a quarter circle is 1/4 of a circle.
Perimeter of a semicircle is ¶d/2
= 3.142 x 10/2 = 3.142 x 5 = 15.71
For 2 semicircles that will be 15.71 x 2 = 31.42
For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855
Total perimeter = 31.42 + 7.855 = 39.275
306 / 3.6 = 85 gallons per minute
5,200 = 85x
x = <span>61.1764705882
hope this helps</span>
