Answer:
x = - 2, x = 6
Step-by-step explanation:
Given f(x) = 18 we require to solve
3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )
3 | x - 2 | = 12 ( divide both sides by 3 )
| x - 2 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
x - 2 = 4 ( add 2 to both sides )
x = 6
OR
- (x - 2) = 4
- x + 2 = 4 ( subtract 2 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
Hence solutions are x = - 2, x = 6
Answer:
b
Step-by-step explanation:
Given :
Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping.
To Find :
If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents the situation if Ryan wants to earn a minimum of $300.
Solution :
His total earning is given by :
T = 10( number of hours at hardware store ) + 13( number of hours at the shipping)
T = 10x + 13y
Now, he wants to earn a minimum of $300 i.e T ≥ $300.
So, 10x + 13y ≥ 300
Hence, this is the required solution.
1. Simplify= xy^3
2. Factorise= (2x+1)(2x-1)
3.
4.
5. Estimate= 415.96
6. Highest Common Factor
70= -70,-35,-14,-10,-7,-5,-2,-1,1,2,5,7,10,14,35,70
98= -98,-49,-14,-7,-2,-1,1,2,7,14,49,98
7. Expand: 4-4x+x^2 Simplify: x^2-4x+4
8.
9. This is actually the easiest you take both the mass and volume and divide them :) which would be 500g<span>÷25cm^3=20g/cm3 </span>
10.
The ones I didn't answer I am not sure about and don't wanna give you any wrong answers :) Hope I helped though!
