For f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x) A. 2x^2-15 B.X^2+2x-6 C.2x^3-6 D.x^2+2x+8
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Answer:
Step-by-step explanation:
Y-intercept:
(8,0) ; x₁ = 8 & y₁ = 0
(3,7) ; x₂= 3 & y₂ = 7
- First find the slope of the line.
slope y-intercept form of the line: y = mx + b
Substitute the slope and x and y in the above equation. We can choose anyone of the given points.
The function is
f(x) = (1/3)x² + 10x + 8
Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
= (1/3)[ (x+15)²- 225] + 8
= (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67
This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).
Answer: The domain is (-∞, ∞)
f(x) = (1/3)x² + 10x + 8
Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
= (1/3)[ (x+15)²- 225] + 8
= (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67
This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).
Answer: The domain is (-∞, ∞)
Answer: The concentration of X is and the concentration of Y is
.
Step-by-step explanation:
Since we have given that
At 272 nm, absorbance = 0.215
At 327 nm, absorbance = 0.191
As we have given that
Compound X Compound Y
272 16400 3870
327 3990 6420
So, our equations becomes
By solving these two equations, we get that
Hence, the concentration of X is and the concentration of Y is
.