Answer:
x = - 
, x = 3
Step-by-step explanation:
Given
(4x - 5)² = 49 ( take the square root of both sides )
4x - 5 = ± 
= ± 7 ( add 5 to both sides )
4x = 5 ± 7, thus
4x = 5 - 7 = - 2 ( divide both sides by 4 )
x = 
= -
or
4x = 5 + 7 = 12 ( divide both sides by 4 )
x = 3
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 = -
left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution
x = 3
left side = (12 - 5)² = 7² = 49 = right side ⇒ solution
Answer:
-8 > b
Step-by-step explanation:
94<-2(1+6b)
Distribute
94<-2-12b
Add 2 to each side
94+2<-2-12b +2
96 < -12b
Divide each side by -12, remembering to flip the inequality since we divide by a negative
96/-12 > -12b/-12
-8 > b
Answer:
g(x) = -|x|
Step-by-step explanation:
Are you familiar with the absolute value function y = |x|?
Its graph is v-shaped and opens up.
If the graph is turned upside down (so that it opens down), then g(x) = -|x|.
1) 7/35 simplified into 1/5
2) 11/77 simplified into 1/7
3) 241 divided by 4 is $51.25cent
4) 110.7 divided by 8.2 is 13.5 miles per hour
