Answer:
see below
Step-by-step explanation:
A: 2x² - 3x - 5
(2x - 5)(x + 1)
B: Set the factored equation equal to zero and solve for x.
(2x - 5)(x + 1) = 0
2x - 5 = 0
2x = 5
x = 5/2
x + 1 = 0
x = -1
The x-intercepts are 5/2 and -1
C) To find the end behavior, you need to look at the term in the unfactored equation with the highest exponential number. For this equation, that is 2x². Since the exponent is positive, both ends of the graph will point in the same direction. Because the leading coefficent is positive, the graph will point upwards. The end behavior of the graph is that as the x-values approach both ∞ and -∞, the function approaches ∞.
D) Since we know that the x-intercepts are 5/2 and -1, you can plot these points. You also know that the graph will be in an upward U shape. Plug in a couple x-values and plot them to make the graphing of the equation more accurate.
The answer as a decimal: .002
As a fraction: 1/500
To find the decimal divide the numerator by the denominator so
5/8=0.625 therefore as a decimal 5/8 =0.625
To find its percentage divide the numerator by the denominator and multiply by 100 so
5/8 *100=62.5 therefore as a percentage 5/8 is 62.5%
Answer:
The dependent or output variable is f
Step-by-step explanation:
The given function is
We want to to determine, the output or dependent variable.
Recall that we can rewrite this function as:
Here we can clearly see that y is the output or dependent variable.
But do you know
This tells us that y is a function of x.
Similarly,
means f is a function of x.
Therefore the output variable is f.
Answer:
x = 2.8
y = 2
Step-by-step explanation:
Reference angle = 45°
Opposite = 2
Hypotenuse = x
Adjacent = y
✔️To find x, apply the trigonometric function SOH:
Sin 45 = Opp/Hyp
Sin 45 = 2/x
x*Sin 45 = 2
x = 2/Sin 45
x = 2.82842712 ≈ 2.8 (nearest tenth)
✔️To find y, apply the trigonometric function TOA:
Tan 45 = Opp/Adj
Tan 45 = 2/y
y*Tan 45 = 2
y = 2/Tan 45
y = 2