Answer:
f(x^2)=3x^2+5
Step-by-step explanation:
math
Answer:
Step-by-step explanation:
Commission for amount Rs. 5,00,00 = 
= 2* 5000
= Rs. 10,000
total commission = Rs. 32,000
Remaining commission = 32500 - 10000
= Rs. 22500
Let remaining amount of the restaurant = Rs. x
Commission on Rs. x = 22500
3% of x = 22500
x = Rs. 750000
Price of the restaurant = 750000 + 500000
=Rs . 1250000
Answer:
x=-16
Step-by-step explanation:
The given equation is:
x = 8a
which was written to find the value of x.
We have to find the value of x when the value of a is inserted as -2
So, putting the value
x = 8(-2)
x= -16
So the value of x when a = -2 is -16 ..
Answer:
3
Step-by-step explanation:
6 divided bye 2=3
1. We use the recursive formula to make the table of values:
f(1) = 35
f(2) = f(1) + f(2-1) = f(1) + f(1) = 35 + 35 = 70
f(3) = f(1) + f(3-1) = f(1) + f(2) = 35 + 70 = 105
f(4) = f(1) + f(4-1) = f(1) + f(3) = 35 + 105 = 140
f(5) = f(1) + f(5-1) = f(1) + f(4) = 35 + 140 = 175
2. We observe that the pattern is that for each increase of n by 1, the value of f(n) increases by 35. The explicit equation would be that f(n) = 35n. This fits with the description that Bill saves up $35 each week, thus meaning that he adds $35 to the previous week's value.
3. Therefore, the value of f(40) = 35*40 = 1400. This is easier than having to calculate each value from f(1) up to f(39) individually. The answer of 1400 means that Bill will have saved up $1400 after 40 weeks.
4. For the sequence of 5, 6, 8, 11, 15, 20, 26, 33, 41...
The first-order differences between each pair of terms is: 1, 2, 3, 4, 5, 6, 7, 8...since these differences form a linear equation, this sequence can be expressed as a quadratic equation. Since quadratics are functions (they do not have repeating values of the x-coordinate), therefore, this sequence can also be considered a function.
