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:
a^32
Step-by-step explanation:
Apply law of exponents.
(a^b)^c = a^(bc)
(a^8)^4 = a^(8 × 4)
= a^32
Answer:
The answer to your question is 1
Step-by-step explanation:
Data
slope = m = -3
y-intercept = 3
Process
1.- Find the equation of the line in the slope-y-intercept form
y = mx + b
-Substitution
y = -3x + 3
2.- Find the x intercept
-If y = 0
0 = -3x + 3
-3 = -3x
-3/-3 = x
x = 1
-The x-intercept is 1
In order to solve this problem, you must use the rules of P.E.M.D.A.S P=Parenthesis, E= Exponents, M= Multiplication, D= Division, A= Addition, S= Subtraction. PS Remember the rules with negatives as well and make sure that you simplify it the best you can. If you need further help and explanation make sure to ask.
Answer:
C
Step-by-step explanation:
Hope it helps!
