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iren [92.7K]
3 years ago
5

Hello there!

Mathematics
1 answer:
otez555 [7]3 years ago
7 0

Answer:

24  Domain: s>=2  or s<=-2

25. 3x^2 +14x +10

26. x^2 -2x+5  

Step-by-step explanation:

24.  Domain is the input or s values

square roots must be greater than or equal to zero

s^2-4 >=0

Add 4 to each side

s^2 >=4

Take the square root

s>=2  or s<=-2


25.  f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = 3u^2 +2u-6

g(x) = x+2

f(g(x) = 3(x+2)^2 +2(x+2) -6

Foil the squared term

       = 3(x^2 +4x+4) +2x+4-6

Distribute

       = 3x^2 +12x+12 +2x+4-6

Combine like terms

   =3x^2 +14x +10


26 f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = u^2+4

g(x) = x-1

f(g(x) = (x-1)^2 +4

Foil the squared term

         = (x^2 -2x+1) +4

         = x^2 -2x+5  

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This makes no sense and I​ really need help on t​his lesson.<br> p(c) = ?
ad-work [718]

Answer:

0.18

Step-by-step explanation:

C is a subpath of A,

first P(A) = 0.6 since the line leading to A says .6

the probability of choosing C is 0.3, but first we have to assume A is chosen. The true probability is 0.3 * 0.6 = 0.18

6 0
3 years ago
Because of a virus introduced into a bacterial culture, the population of the bacteria decreasedfrom 3000 to 1000 in 50 minutes.
Mamont248 [21]

Answer:

208

Step-by-step explanation:

Given that;

Given that;

y= a(1 - b)^t

Where;

wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

To obtain the constant b,

y= ae^-bt

Substituting values;

1000 = 3000 e^-b(50)

1000/3000 = e^b(50)

0.33 = e^b-(50)

ln (0.33) = ln(e^b(-50))

-1.1 = -50b

b= 1.1/50

b= 0.022

After two hours or 120 minutes;

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8 0
2 years ago
Solve the system by graphing.
igor_vitrenko [27]

Answer:

Hi There the correct answer is {x,y} = {-1,-10}  

 

System of Linear Equations entered :

  [1]    3x - y = 7

  [2]    4x - 2y = 16

Graphic Representation of the Equations :

   y + 3x = 7        -2y + 4x = 16  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  y  

 

 [1]    y = 3x - 7

// Plug this in for variable  y  in equation [2]

  [2]    4x - 2•(3x-7) = 16

  [2]    -2x = 2

// Solve equation [2] for the variable  x  

  [2]    2x = - 2  

  [2]    x = - 1  

// By now we know this much :

   x = -1

   y = 3x-7

// Use the  x  value to solve for  y  

   y = 3(-1)-7 = -10  

Solution :

{x,y} = {-1,-10}  

Hope it helps!

8 0
2 years ago
Does this table represent a function? Why or why not?
arsen [322]

Answer:

D

Step-by-step explanation:

Because their are more than one ranges

6 0
2 years ago
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DanielleElmas [232]

Answer:

19/25 = 0.76

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5/8 = 0.625

145/8 = 18.12500

Step-by-step explanation:

Divide the first number by the second like 145 divided by 18.

5 0
2 years ago
Read 2 more answers
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