The function f(x) is a polynomial, while the function g(x) is a logarithmic function and the functions have the same range
<h3>The type of functions</h3>
The functions are given as:
f(x) = x³ + x² - 2x + 3
g(x) = log(x) + 2
The function f(x) is a polynomial, while the function g(x) is a logarithmic function.
<h3>The key features</h3>
For the polynomial function, we have:
- Domain: -∞ < x < ∞
- Range: -∞ < x < ∞
- y-intercept = 3
For the logarithmic function, we have:
- Domain: x > 0
- Range: -∞ < x < ∞
- y-intercept = undefined
By comparison, the functions have the same range
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The answer is $24.41
Step 1. Calculate the area of the <span>circular piece of fabric.
Step 2. Multiply the area of the piece by the price of </span><span>$5.40 per ft² to get the total cost.
Step 1.
The area (A) of the circle with radius r is:
A = </span>π r²
π = 3.14
r = 1.2 ft
A = 3.14 * (1.2 ft)²
A = 3.14 * 1.44 ft²
A = 4.52 ft²
Step 2.
Make a proportion
1 ft² costs $5.40
4.52 ft² cost x
1 ft² : $5.40 = 4.52 ft² : x
x = 4.52 ft² * $5.40 / 1 ft²
x = $24.41
2/3 - 1/5
make a common denominator
10/15 - 3/15
simplify
7/15 is your answer
hope this helps
Answer:
-6/5
Step-by-step explanation:
Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.
-4-8 -12
--------= -------= -3
-2+6 4
