Log(2x-6)-log(x+4)=1

Mathematics

1 answer:

tino4ka555 [31]3 years ago

4 0

Answer:

x=−7−√1614,−7+√1614

Step-by-step explanation:

You might be interested in

Abby filled her goodie bags with 4 cookies and 3 candy bars and spent a total of $10.25 per bag. Marissa filled her goodie bags

Paladinen [302]

Let's start by writing a system of linear equations:
c -> cookies
cb -> candy bars
(You can use any abbreviations to your preference)

Abby:
4 cookies
3 candy bars
$10.25 per bag
The equation would be:
4c+ 3cb = $10.25

Marissa:
2 cookies
7 candy bars
$14.75 per bag
The equation would be:
2c + 7cb = $14.75

So our linear equation system would be:
4c+ 3cb = $10.25
2c + 7cb = $14.75

I would try to get rid of one variable so I can solve for the other variable. In this case, it is easier to get rid of c since I can multiply the second equations by 2. Then it would subtract the two equations.

(2c + 7cb = $14.75) 2 = 4c + 14 cb = $29.50

4c + 3cb = $10.25
 - 4c+14 cb = $29.50 (4c would get canceled.)
---------------------------------
 -11 cb = - $19.25 (Divide by -11 to solve for cb)
 --------- -------------
-11 -11

 cb = $1.75

Now we know cb (candy bar) cost, we would substitute this value into cb into one of the equations. It doesn't matter which equation you put it in. I will substitute it in the first equations.

4c + 3 (1.75) = $10.25
4c + 5.25 = $10.25 (Multiply 3 by 1.75)
 -5.25 -5.25 (Subtract 5.25 on both sides)
 4c = 5 (Divide by 4 on both sides to get c)
 ---- ---
4 4

 c= 1.25

Check the work:
4(1.25) + 3(1.75)
= $10.25

2(1.25) + 7(1.75)
 = $14.75

Total cost:
cookies = $1.25
candy bars = $ 1.75

Hope this helps! :)

6 0

4 years ago

F (n)=-3n^2-4n Find f(4)

defon

Answer:

144

Step-by-step explanation:

f(4)=3*4^2

f(4)=12^2

12*12=144

7 0

3 years ago