Step-by-step explanation:
3y + x = 12
When y = 3, we have 3(3) + x = 12.
=> 9 + x = 12, x = 3.
Answer:
f(x) = 12x = 10
Step-by-step explanation:
We need a linear equation in the slope-intercept form.
y = mx + b
where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value
Let's look in the table.
1 hour: $22
2 hours: $34
The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.
The difference in time between 1 hour and 2 hours is 1 hour.
In 1 hour he earns $12. That means the slope is 12.
We know he earns $22 for working a total of 1 hour.
Start at 1 hour and $22 on the table.
Subtract 1 hour from 1 hour to get 0 hours.
Subtract $12 form $22 to get $10.
That means for 0 hours he gets $10. b = 10
The equation is
y = 12x + 10
In function form, we have:
f(x) = 12x = 10
Answer:
1 and 3 are irrational!!! The others are all rational
Step-by-step explanation:
1 and 3 are never terminating and they are not repeating, therefore, they are irrational! All the others are either terminal (they have a decimal that stops) or they are repeting and those repeting numbers can be written as a fraction, for example 0.2222... can be written as 2/9
Answer:
The 11th term is 3072.
Step-by-step explanation:
First, find the common ratio and the first term. The common ratio is 6/3 or 2. The first term is 3.
Use the direct formula, xi=a*r^i-1, to find the eleventh term. a is first term, and i is the index or the number of the term.
Substitute: x11=3*2^(11-1)
Or x11=3*2^10
So x11 is 3072
Cause 5+3+8, 8+3=11 11+3=14, so 14+3=17 17+3=20, 20+3=23 23+3=26 26+3=29 29+3=32
so its 5, 8, 11, 14, 17, 20, 23, 26, 29, 32
so the answer is 32