Answer:
t_o = 3, so solution exists on (0,4).
Step-by-step explanation:
Use Theorem
Divide equation with t(t — 4).
y''+[3/(t-4)]*y'+ [4/t(t-4)]*y=2/t(t-4)
p(t)=3/t-4—> continuous on (-∞, 4) and (4,∞)
q(t) = 4/t(t-4) —> continuous on (-∞,0), (0,4) and (4, ∞)
g(t) = 2/t(t-4)—> continuous on (-∞, 0), (0,4) and (4,∞)
t_o = 3, so solution exists on (0,4).
Y=x² +14x +48
y-48 = x² +14x
y-48+7² = x² +2*7*x +7²
y-48+49 = (x+7)²
y+1= (x+7)²
y=(x+7)² - 1
Vertex of the function is (-7,-1). Minimum value of this function is a vertex value , because parabola directed up.
Fifteen times Fifteen point Five equals 82.2 so the answer would be 82.2 Meters
Answer:
B. s = 0.85r
Step-by-step explanation:
The sale price is 15% off the regular price. In equation form, that is ...
s = r - 15%×r
s = r(1 - 0.15) = 0.85r
The equation that can be used to calculate the sale price is <em>s = 0.85r</em>.
Answer: x = 5π/6Explanation:1) Given function: 
2) x-intercept are the roots of the function, i.e. the solution to
y = 03) to find when y = 0, you can either solve the equation or look at the graph.
4) Solving the equation you get:
y = 0 ⇒ tan(x - 5π/6) = 0 ⇒ x - 5π/6 = arctan(0)arctan(0) is the angle whose tangent is zero,so this is 0
⇒ x - 5π/6 = 0 ⇒ x = 5π/6.Then, one example of an x-intercept is x = 5π/6, which means that when x = 5π/6, the value of the function is 0.
Since, the tangent function is a periodic function, there are infinite x-intecepts, that is why the questions asks for one example and not all the values.
You can
verify by replacing the value x = 5π/6 in the given function:
y = tan (5π/6 - 5π/6) = tan(0) = 0.