Answer:
In mathematics, in the area of complex analysis, the general difference polynomials are a polynomial sequence, a certain subclass of the Sheffer polynomials, which include the Newton polynomials, Solberg's polynomials, and the Stirling interpolation polynomials as special cases.
Step-by-step explanation:
Cat= 6kg
Dog = 6kg + 22kg
Total weight = 6kg + 6kg + 22kg
Total weight = 34kg
Answer:
Step-by-step explanation:
Answer:
1.05%.
Step-by-step explanation:
If an amount of money, P, called the principal, is borrowed for a period of t years at an annual interest rate r, the amount of interest, I, is given by
I=PrtwhereIPrt=interest=principal=rate=time
The following information is given.
IPt=$1,260=$30,000=4 years
Substituting the given information into the simple interest formula and solving for r gives
I1,2601,260=Prt=(30,000)(r)(4)=120,000r
Dividing both sides by 120,000 and then converting to a percent, we have
r=1,260120,000=0.0105=1.05%
Thus, David's annual interest rate was 1.05%.
<h3>
Answer: Distance between x intercepts is 1 unit.</h3>
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Explanation:
Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x
f(x) = -2x+2
0 = -2x+2
2x = 2
x = 2/2
x = 1
Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.
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Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).
First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.
m = (y2-y1)/(x2-x1)
m = (3-6)/(1-0)
m = -3/1
m = -3 is the slope
The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.
So with m = -3 and b = 6, we see that g(x) = -3x+6.
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Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top
g(x) = -3x+6
0 = -3x+6
3x = 6
x = 6/3
x = 2 is the x intercept of g(x)
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In summary, we found...
- x = 1 is the y intercept of f(x)
- x = 2 is the y intercept of g(x)
Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.
