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3 years ago

Please Help!! Learning about systems in algebra don't want to fail!!!

Mathematics

1 answer:

ANEK [815]3 years ago

7 0

Answer:

i dont know the answer off the top of my head but im "answering" this because the more people answer a question it will pop up at the top for people to see

Step-by-step explanation:

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Find the slope between the two points given. Then, use the slope and the first point to write the equation of the line in Point-

Vera_Pavlovna [14]

M(slope)= -5/4 point-slope(y-y1=m(x-x1)) so it would be y-5= -5/4(x+4)

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3 years ago

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Let f(x) = 5x +7 and g(x) = x-1 . Find f(g(x))

Bogdan [553]

Answer:

f(g(x))=5×(x-1)+7=5x-2

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4 years ago

Lucas deposits $4,000.00 for 6 years at 2% interest, compounded monthly. How much interest does he earn at the end of the 6 year

Rudik [331]

Answer:

$12644.56

Step-by-step explanation:

one year = 12 month

4,000 * (1.02)^(6*12) = 16644.5615

16644.5615-4000 = 12644.5615

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3 years ago

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Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

lara [203]

Answer:

x = -1 , - 11,

Step-by-step explanation:

| x | = x

|- x | = x

f(x) = 2 | x + 6 | - 4

x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True

x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False

x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False

x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True

x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False

x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False

x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False

x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False

Given f ( x ) = 6

f( x ) = 2 | x + 6 | - 4

6 = 2 | x + 6 | - 4

6 + 4 = 2 | x + 6| - 4 + 4 [ adding 4 to both sides ]

10 = 2 | x + 6 | + 0

5 = | x + 6 | [ dividing both sides by 2 ]

$- 5 =\ ( x+ 6) \ = 5\\\\$ $[ \ | x | = a\ => \ -a \ = x \ = a \ ]$

$- 5 - 6 = \ x + 6 - 6 \ = \ 5 - 6\\$ $[ \ subtracting \ by \ 6 \ ]$

$-11 = \ x \ = - 1$

3 0

3 years ago

The deer population in a certain state park doubles every year. In the year 2010, there were 30 deer in the park. Which function

Gala2k [10]

Answer:

y = 30(2)^x

Step-by-step explanation:

Initial deer population = 30 (in 2010)

Every year, deer population doubles ; this means there is an 100% increase in the population every year ;

Hence, using the exponential growth relation :

Final = initial * (1 + rate)^year

Here,

Final population y ; x years after 2010

Rate = 100% = 1

Hence,

y = 30(1 + 1)^x

y = 30(2)^x

7 0

3 years ago

Please Help!! Learning about systems in algebra don't want to fail!!!​

Please Help!! Learning about systems in algebra don't want to fail!!!