Answer:
See below
Step-by-step explanation:
Recall that we need to use the equation y=a(x-h)^2+k. This means that h=-2 instead of 2 otherwise it would've been (x-2)^2-6. So Renaldo made the mistake of identifying h as 2 instead of -2. The second mistake Renaldo made is that since k=-6, there should be a vertical shift of 6 units down not 2.
Step-by-step explanation:
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being opposite to the angles.
so,
14/sin(80) = x/sin(60)
x = 14×sin(60)/sin(80) ≈ 12.3cm
Answer:
Hence average rate of change is greater for f(x) in (0,3).
Yes. f(x) is greater than g(x) in the interval (0,3)
Yes. g(3) <f(3)
Step-by-step explanation:
To find average rate of change of f and g in (0,3)
f(3)-f(0)/3 = (9-0)/3 =3
g(3) = -9-18 = -27
g(0) = 0
Rate of change in(0,3) of g(x) = -27/3 =-9
Hence average rate of change is greater for f(x) in (0,3)
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Both f and g have intercepts of y as 0
Hence both are equal.
3) Yes. f(x) is greater than g(x) in the interval (0,3)
Because g(x) <0 for all x in (0,3) while f(x) >0
4) g(3)= -9-18=-27 <f(3)
Answer:
See explanation below to use the vertex form to solve a quadratic equation.
Step-by-step explanation:
(x - h)^2 - k = 0, the vertex is (h, -k)
An example below, taking a quadratic equation and completing the square:
x^2 - 2x - 1 = 0
x^2 - 2x = 1
(-2/-2)^2 = 1, add 1 to both sides of the equation.
x^2 - 2x + 1 = 1 + 1
(x - 1)^2 = 2
(x - 1)^2 - 2 = 0
The vertex is (1, -2)