PLEASE HELP!!!! Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work.

Mathematics

1 answer:

Licemer1 [7]3 years ago

5 0

|4x+3|=9+2x if we square both sides, we can eliminate the absolute values signs...

16x^2+24x+9=81+36x+4x^2 subtract the right side from both sides

12x^2-12x-72=0 now we can factor

12(x^2-x-6)=0

12(x^2+2x-3x-6)=0

12(x(x+2)-3(x+2)=0

12(x-3)(x+2)

So:

x= -2 or 3

You might be interested in

HELP ITS A TEST- Question is in the photo

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

i simply put the answer in desmos a graphing calculator and compared them hope this helps

7 0

3 years ago

Read 2 more answers

In a certain year, the population of Smallburg was $4{,}000.$ In the following year, the population increased by $15\%.$ What wa

makkiz [27]

Answer:

4,600

Step-by-step explanation:

To solve this problem, we need to multiply add 15% of 4,000 back to 4,000.

First, change 15% into a decimal:

15% -> $\frac{15}{100}$ -> 0.15

Next, multiply 4,000 by 0.15:

$x= 4,000(0.15)$

$x=600$

The last step is to add the 600 back to 4,000:

$4,000 + 600 = 4,600$

The population of Smallburg the following year was 4,600.

5 0

2 years ago

"EXPLAIN PLEASE" Which equation does the graph below represent

ch4aika [34]

The answer to your problem is A due to the slope of your line being -1/3x.

You can find this slope by picking two points on your graph [i.e. (-1,3) and (0,0)].

Find the difference between the two points, which is a one for the x value and a three for the y values. Now you have a slope of 1/3.

But wait! The slope is downwards, therefore a negative must be applied to your slope.

This provides you with a slope of -1/3x, therefore:

y = -1/3x

7 0

3 years ago

Item 1

Ann [662]

Answer:

look at the attachment

Step-by-step explanation:

hope it helps!