Well,
We are given a direct proportion problem.
x varies directly as y.
When y = -5, x = 15.
Now, we are told to find x when y = 3.
We just have to recognize that the complete case is equal to the incomplete case. In other words, we set the -3 equal to the x/3.
Multiply both sides by the LCM.
LCM of -1 and 3 = 3
-9 = x
When y = 3, x = -9.
We need to divide 4,971 by 10 until its a number less then 10.
4,971 / 10 = 497.1
497.1 / 10 = 49.71
49.71 / 10 = 4.971
Now, 4.971 is less then 10, so, we can write this into scientific notation.
4.971 * 10^?
We need to know what power we add to 10 to get 4,971. We can solve for looking at the number of times we divided. As you can see above, we divided 3 times so that will be the power of 10.
4.971 * 10³
Best of Luck!
Answer:
See below.
Step-by-step explanation:
It can really help to think when you see |expression| that it means the distance from expression to zero.
(a) |x| < 7 means the distance from x to 0 is less than 7. That puts x between -7 and 7. The solution set is -7 < x < 7.
(b) |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9. That puts x + 3 between -9 and 9:
-9 < x + 3 < 9 Now subtract 3 from all three parts.
-12 < x < 6
(c) |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units. That puts y - 8 in one of two places: left of -11 or right of 11.
(g) 
means that the distance from 3x - 1 to 0 is more than (or equal to) 18. Another way to say it is, 3x - 1 is farther from 0 than 18 units. That puts 3x - 1 in one of two places: to the left of -18 or to the right of 18.
means that 4y + 3 is closer to 0 than 13; it is between -13 and 13.
(That last fraction is 10/4 simplified.)
Answer:
y = 1/9
Step-by-step explanation:
Use distributive property and simplify!
First, subtract 5 from both sides, leaving you with 5
- 30x - 5 = 0
If you use the quadratic formula (a=5), (b=-30), (c=-5)
x=-b +/- √b²-4ac / 2a
x= -(30) +/- √(30)² - 4(5) * (-5) / 2(5)
x= 30 +/- √1000 / 10
x = 3 +/- √10
