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Simora [160]
2 years ago
12

Log4(2-x)=log4(-5x-18)

Mathematics
1 answer:
saveliy_v [14]2 years ago
6 0

\log_4 (2-x) = \log_4 (-5x-18)\\\\\implies 2-x = -5x -18\\\\\implies 5x -x =  -18-2\\\\\implies 4x = -20\\\\\implies x = -\dfrac {20}4\\\\\implies x = -5

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The population of two different villages is modeled by the equations shown
vlada-n [284]

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

y=x^2-30x+540

y=20x+15

The population of both villages are same after x years after 1980 if

x^2-30x+540=20x+15

x^2-30x+540-20x-15=0

x^2-50x+525=0

Splitting the middle term, we get

x^2-15x-35x+525=0

x(x-15)-35(x-15)=0

(x-15)(x-35)=0

x=15,35

It means, after 15 or 35 years, the population will same.

For x=15, years is 1980+15=1995 and population is  

y=20(15)+15=315

For x=35, years is 1980+35=2015 and population is  

y=20(35)+15=715.

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

7 0
3 years ago
What is the solution to the liner equation <br><br> -12+3b-1=-5-b
Natalija [7]

Answer:

b=2

Step-by-step explanation:

-12+3b-1=-5-b

Combine like terms

-13 +3b = -5-b

Add b to each side

-13+3b+b = -5-b+b

-13+4b = -5

Add 13 to each side

-13+13 +4b = -5+13

4b = 8

Divide by 4

4b/4 = 8/4

b = 2

6 0
3 years ago
Read 2 more answers
Is 2 And 22 linear or nonlinear?
grigory [225]
Linear would be the answer
8 0
2 years ago
Read 2 more answers
Hhelp me pleaseeeeee
svetlana [45]

A. Area = ½b × h

= ½ × 16 × 9

= 72

B. Area = b × h

= 26 × 18

= 468

C. Area = a²

= 11²

= 121

D. Area = ½(a+b) × h

= ½(6+21) × 8

= 108


Hope this helps :)

Please consider marking my answer the brainliest!

4 0
3 years ago
Games Galore Super Store buys the latest video game at a wholesale price of $58.00. The markup rate at Game’s Galore Super Store
IgorC [24]

Answer:

Step-by-step explanation:

30 + .40(30) =  30(1 + .40)  = 30(1.4)  = $42

5 0
3 years ago
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