Answer:
The initial value is 3.
The range is y greater than 0.
The simplified base is 8.
Step-by-step explanation:
The given function is 
......... (1)
Therefore, the initial value of the function at x = 0 is 
Now, the domain can be any real value, since for all real value of x, y exists.
But, for no value of x the function has value < 0.
Therefore, y greater than 0 is the range of the function f(x).
Now, simplifying the equation (1) we will have
Therefore, the simplified base is 8. (Answer)
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.
Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.
Multiply 513 with 6 first.
513
x46
--------------------------
18 (as 6*3 = 18)
60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)
Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.
Check: If we check the multiplication result by using the calculator, we would get the same result (23598).
Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
Answer:
(a)r=15-b
11.9 Inches
(b)See attached
Step-by-step explanation:
Length of the candle =15 inch
Let b represent the burned length of the candle (in inches)
Let r represent the remaining length of the candle (in inches).
Therefore:
(a) r+b=15
r=15-b
When b=3,1 Inches
Remaining Length, r=15-3.1=11.9 Inches
(b)The graph showing te relationship between r and b is shown below.
r is plotted on the y-axis while b is plotted on the x-axis as labelled.
Answer is 4 lb.,12 oz.
As one pound has 16 ounces.
When we convert the given 5 lb. into ounces we multiply it by 16.
5 lb = 5 x 16 oz
5 lb = 80 oz
When we subtract 4 oz from 80 oz
We get
80 - 4 = 76 oz
Which is
64 oz + 12 oz
(16 x 4) oz + 12 oz
Which will be
4 lb. + 12 oz
So the answer will be
4 lb., 12 oz.
Answer:
80+(15x)
Step-by-step explanation:
10 times 8=80
1.5 times 10=15
so she gets 80 dollars for the first 8 hours then for every extra hour she gets 15 dollars
