The table that show the function <span>y = -2x + 4? is table A.</span>
Answer:
60.6°
Step-by-step explanation:
Using trigonometry :
Opposite = Height of shadow = 42 feets
Adjacent = height of flagpole = 23.7 feets
Tan θ = opposite / Adjacent
Tan θ = height of shadow / height of flagpole
Tan θ = 42 / 23.7
Tan θ = 1.7721518
θ = tan^-1(1.7721518)
θ = 60.56
θ = 60.6°
Answer:
100/3 or 33.33
Step-by-step explanation: If the perimeter of the whole figure is 220, we can use that number to solve the equations on the trapezoid.
2(2x-3) + 2(4) + 2(4x+1)
4x - 6 + 8 + 8x + 2
12x + 2
Now we have to set the equation equal to the perimeter to find the value of x
12x + 2 = 220
12x = 218
x = 109/6
Since we are only finding the length of PS, we will plug x into its equation (2x - 3).
2(109/6) - 3
109/3 - 3
109/3 - 9/3
100/3
<span>#1
Factoring the function:</span>
<span>f(x) = x3 + 7x2 + 14x + 8
f(x) = (x + 4) (x + 1) (x + 2)
From the options, (x + 2) is the factor
#2
f(x) / g(x) = (</span>6x3 - 19x2 + 16x - 4) / (x - 2)
This can be solved by factoring the numerator, by synthetic division or using the remainder theorem.
The result is:
6x^2 - 7x + 2 or (x - 2/3)(x - 1/2)
#3 same with #2
#4
(x3 - 5x2 + 2x + 5) / (x - 2)
Again, this can be solved by a number of methods, the result is:
x2 -3x - 4 - (3/x-2)
