Answer:
7^8 =5764801 * 7^3 =343 * 7^4 =2401 ÷ 7^9 = 40353607 * 7^5 =16807
5764801 *343 *2401 ÷ 40353607 *16807
=4747561509943 ÷ 678223072849 = 7
Answer:
f(x)=x^2+3
f(x+y)=(x+y)^2+3
this is done by replacing x with (x+y)
f(x+y)=x^2+2xy+y^2+3
therefore : f(x+y)= x^2+y^2+2xy+3
The equation can be rewritten as x = -2/3 y, so x/y = -2/3
However, for y=0, the ratio is undefined as you would be dividing by 0??
Answer:
The equation of the line with slope m = 2 and passing through the point (1, 1) will be:

Step-by-step explanation:
We know that the point-slope form of the line equation is

where
- m is the slope of the line
The formula
is termed as the point-slope form of the line equation because if we know one point on a certain line and the slope of that line, then we can easily get the line equation with this formula and, hence, determine all other points on the line.
For example, if we are given the point (1, 1) and slope m = 2
Then substituting the values m = 2 and the point (1, 2)




Therefore, the equation of the line with slope m = 2 and passing through the point (1, 1) will be:

Number of days Val rented the bicycle is 8
<h3><u>Solution:</u></h3>
Given that val paid a flat rental fee of $55.00 plus $8.50 each day
The total cost was $123
To find: number of days she rented the bicycle
Let "a" be the number of days she rented the bicycle
Rental fee = $55.00
Fee for one day = $ 8.50
So total cost is equal to rental fee and fee for "a" days
Total cost = rental fee + (number of days she rented the bicycle x Fee for one day)


123 - 55 = 8.50a
8.50a = 68

Thus number of days she rented the bicycle is 8