All categories

3 years ago

Solve the exponential equation: 4x - 2 = 2x

Mathematics

1 answer:

svetlana [45]3 years ago

8 0

Answer:

x= 1

Step-by-step explanation:

Solve

Let's solve your equation step-by-step.

4x−2=2x

Step 1: Subtract 2x from both sides.

4x−2−2x=2x−2x

2x−2=0

Step 2: Add 2 to both sides.

2x−2+2=0+2

2x=2

Step 3: Divide both sides by 2.

x=1

You might be interested in

How do i find the slope

Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show rise, over the difference in the x points to show run.

Now, to find the slope we insert our values, starting with our second y point:

m= $\frac{2-y_{1 } }{x_{2} -x_{1} }$

Now insert our first y point:

m= $\frac{2-4 }{x_{2} -x_{1} }$

Now we insert our second x point:

m= $\frac{2-4 }{-3 -x_{1} }$

And finally our first x point:

m= $\frac{2-4 }{-3 -3 }$

Now, we solve:

m= $\frac{-2 }{-6}$

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

m= $\frac{2 }{6}$

Now, we simplify our fraction by dividing the top and bottom by 2:

m= $\frac{1}{3}$

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y= $\frac{1}{3}$ x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Insert our values:

m= $\frac{4-1}{2-(-4)}$

Get rid of the double negative:

m= $\frac{4-1}{2+4}$

Solve:

m= $\frac{3}{6}$

Simplify:

m= $\frac{1}{2}$

Now that we know our slope, let's plug it in to our slope intercept form equation.

y= $\frac{1}{2}$ x+3

I hope this was helpful! Keep learning! :D

5 0

3 years ago

Write an equation for this linear function. f(0)=3 and f(3)=0 f(x)=

Jlenok [28]

Answer:

f(x)=-x+3

Step-by-step explanation:

contains (0, 3) and (3, 0)

slope = (3-0)/(0-3)=3/-3=-1

f(x)=-x+b

b=3

f(x)=-x+3

5 0

3 years ago

Please give me the right answer if the algebraic expression is 11 decreased by k is thirty-two. How to write it.

Free_Kalibri [48]

11 - k = 32
- k = 21
k = -21

8 0

4 years ago

Approximately how many degrees are in the measure of an interior angle of a regular seven sided polygon

kramer

The interior angle of a regular polygon is equal to each other since all sides of the polygon are congruent. The formula that expresses the relation of the sides of the polygon and the measurement of the interior angle is (n2)*180/n where n is 7. Each interior angle then measures 128.6 degrees.

3 0

3 years ago

Write the inequality in slope-intercept form. 10x + 5y < 15

mestny [16]

Solve for y
minus 10x from both sides
5y<-10x+15
divide both sides by 5
y<-2x+3

7 0

3 years ago

Solve the exponential equation: 4x - 2 = 2x​

Solve the exponential equation: 4x - 2 = 2x