All categories

4 years ago

How can I solve |2x - 5| = 4?

Mathematics

1 answer:

Ray Of Light [21]4 years ago

4 0

well, you already know an absolute value expression has a ± siblings, so let's proceed without much fuss.

$\bf |2x-5|=4\implies \begin{cases} +(2x-5)=4\implies 2x=9\implies x=\cfrac{9}{2}\\[-0.5em] \hrulefill\\ -(2x-5)=4\implies 2x-5=-4\\[1em] 2x=1\implies x=\cfrac{1}{2} \end{cases}$

You might be interested in

What is the equation for the translation of X^2+y^2=9 four units to the right and three units down

icang [17]

We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)

the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²

see the attached figure

4 0

4 years ago

3x+2y=3y-2 line 1 x+y=10 line 2 solve for x/y

GrogVix [38]

Answer:

x/y=1/4

Step-by-step explanation:

3x+2y=3y-2

3x=3y-2y-2

3x=y-2

y=3x+2

x+y=10

x+3x+2=10

4x+2=10

4x=10-2

4x=8

x=8/4

x=2

2+y=10

y=10-2

y=8

x/y=2/8=1/4

3 0

4 years ago

What is 25.5 as a fraction as well as 20.

motikmotik

53/2 is 25.5 as a fraction; 40/2 is 20 as a fraction

6 0

3 years ago

Read 2 more answers

At the beginning of a walk, roberto and juanita are 7.77.7 miles apart. if they leave at the same time and walk in the same di

dem82 [27]

Roberto overtakes Juanita at the rate of (7.7 mi)/(11 h) = 0.7 mi/h. This is the difference in their speeds. The sum of their speeds is (7.7 mi)/1 h) = 7.7 mi/h.

Roberto walks at the rate (7.7 + 0.7)/2 = 4.2 mi/h.
Juanita walks at the rate 4.2 - 0.7 = 3.5 mi/h.

_____
In a "sum and diference" problem, one solution is half the total of the sum and difference. If we let R and J be the respective speeds of Roberto and Juanita, we have
R + J = total speed
R - J = difference speed
Adding these two equations, we have
2R = (total speed + difference speed)
R = (total speed + difference speed)2 . . . . . as computed above

4 0

4 years ago

Please help me Solve the following equations simultaneously:

Karo-lina-s [1.5K]

Answer:

x+3y =6

2x+8y=-12

The solutions to your equations are:

x= 42 and y= -12

lets check this

42+-36 =6

84+-96=-12

Hope This Helps!!!

3 0

3 years ago