Answer:
y = 25x
Step-by-step explanation:
slope is 25 because to move from one point to another (on the line) you move up 50 (from 0 to 50) and to the right 2 (from 0 to 2) slope is 50/2 which simplified to 25
when x = 0, y = 0 so the y intercept is 0 but it isn’t necessary to add it to the equation
Answer: 6 %
Step-by-step explanation: 6 % of 12.5 = 0.75. 12.5 plus 0.75 = 13.25
You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:
5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625
so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625
x = log₅ 5⁻⁴
log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:
x = -4 is your answer
if the exponent dropping down doesn't make sense to you, you can think of it in another way:
x = log₅ 5⁻⁴
expand the expression so that the exponent moves in front of the log function:
x = (-4) log₅ 5
then, still, log base 5 of 5 simplifies to 1, so you're left with:
x = (-4)1 or x = -4
Step-by-step explanation:
the answer is B. y (4 + z)
