Answer:
Step-by-step explanation:
The graph decreases at first, then changes direction at (2, 5).
y = a(x-2)^2 + 5
Plug in (1,11) and solve for a:
11 = a(1-2)^2 + 5
a = 6
Equation in vertex form:
y = 6(x-2)^2 + 5
Answer:
(x² -7)/(2x + 1)
Step-by-step explanation:
f(x) = 2x+1 and g(x) = x² -7
thus: (g/f)(x) = g(x)/f(x) = x² -7/2x + 1
498 is approximately 500
12 is approximately 10
500/10 = 50
So, 498/12 is approximately 50.
Answer: 0.38065
in simpler terms x=± 0.145 =±0.38065
Step-by-step explanation: -490x2+71 = 0
Subtract 71 from both sides of the equation :
-490x2 = -71
Multiply both sides of the equation by (-1) : 490x2 = 71
Divide both sides of the equation by 490:
x2 = 71/490 = 0.145
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 71/490
The equation has two real solutions
These solutions are x = ±√ 0.145 = ± 0.38065
Answer:
a) 54 m is your answer
Step-by-step explanation:
Given: s = 9
The formula given is:
P (Perimeter) = 6s
Plug in 9 for s
P = 6(9)
Multiply.
P = 6(9)
P = 54
a) 54 m is your answer
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