|2x − 1| = |4x + 9| please solve these i want hurryly

Step-by-step explanation:

Hello,

we need to find x so that

|2x-1|=|4x+9|

and we know that |x|=x if x >= 0 -x otherwise

2x-1=0 <=> 2x=1 <=> x = 1/2

4x+9=0 <=> 4x=-9 <=> x = -9/4

So we need to work in three different intervals

case 1: x <= -9/4 ( <= 1/2)

so |2x-1| = -(2x-1) = -2x+1

and |4x+9| = -4x-9

so we need to solve -2x+1=-4x-9<=> 2x=-9-1=-10 <=> x = -5

case 2: -9/4 <= x <= 1/2

so |2x-1| = -(2x-1) = -2x+1

and |4x+9| = 4x+9

so we need to solve -2x+1=4x+9<=> 6x=1-9=-8 <=> x = -8/6 = -4/3

case 3: -9/4 <= 1/2 <= x

so |2x-1| = 2x-1

and |4x+9| = 4x+9

so we need to solve 2x-1=4x+9<=> 2x=-1-9=-10 <=> x = -10/2 = -5

Finally, the solutions are -5 and -4/3

to verify, you can see below the graph of the two functions

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation:

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )