Answer:
Below.
Step-by-step explanation:
In factor form this is:
f(x) = a(x + 3)(x + 1)(x - 2) where a is a number to be found.
As it passes through (3, 6) we have:
6 = a(3 + 3)(3 + 1)(3 - 2)
24a = 6
a = 1/4.
So f(x) = 1/4(x + 3)(x + 1)(x - 2)
In general form this is:
f(x) = 1/4 x^3 + 1/2 x^2 - 5/4 x - 3/2
Answer:
Step-by-step explanation:
Given that, a series of triangle,
For the sine and cosine to be equal, then,
Sinθ = Cosθ
From, trigonometry identities
Sinθ = Cos(90-θ)
Then,
θ = 90-θ
θ + θ = 90
2θ = 90
θ = 90 / 2
θ = 45°
From the triangle given, using trigonometry ratio,
Sinθ = opposite / hypotenuse.
Sinθ = 20 / 25
Sinθ = 0.8
θ = arcsin(0.8)
θ = 53.13°
The other angles at the triangle is
90-53.13 = 36.87°.
Answer:
-8 < x < 13
Step-by-step explanation:
|2x-5|<21
The absolute value has 2 solutions, one positive and one negative. When we take the negative solution, we have to flip the inequality.
2x-5 < 21 and 2x-5 > -21
Add 5 to each side
2x-5+5 < 21 +5 2x-5 +5 > -21+5
2x < 26 2x > -16
Divide by 2
2x/2 <26/2 2x>-16/2
x <13 and x>-8
-8 < x < 13
Answer:
C. Translates the graph 4 units downwards
Step-by-step explanation:
The -4 is the y-intercept which brings the graph down four units