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2 years ago

PLEASE HELP!!!!

Mathematics

1 answer:

Musya8 [376]2 years ago

3 0

1st graph: you can see that the output is same as input.

2nd graph: output > input. Therefore output is x2 the input.

Answer: 2nd graph

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Solve the following equations: <br> 5x-(x+2)^2=x^2-8+x

Blababa [14]

Answer:

x = √2 = 1.414

Step-by-step explanation:

5x-(x+2)^2=x^2-8+x

since (x+2)^2 = x^2 + 2(x)(2) + 2^2 = x^2 + 4x + 4

5x - (x^2 + 4x + 4) = x^2 + x - 8

-x^2 + x - 4 = x^2 + x - 8

x^2 + x^2 + x - x = -4 + 8

2x^2 = 4

x^2 = 2

x = √2 = 1.414

3 0

2 years ago

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If f(x) = 3 - 2x and g(x)= 1/(x+5),what is the value of (f/g) (8)?

Alekssandra [29.7K]

Answer:

(f/g)(8) = -169

Step-by-step explanation:

Simply plug in <em>x </em>= 8 into our equation:

$\frac{3-2(8)}{\frac{1}{8 + 5} }$

$\frac{-13}{\frac{1}{13} }$

-13(13)

-169

4 0

2 years ago

Omg help me please like I just can't right now <br><br> 2x-6y= -12 <br> x+2y=14

steposvetlana [31]

here,

2x-6y= -12

2(x-3y)= -12

x-3y = -6...........eq1

x+2y=14............eq2

we can subtract the above two given equations

we get,

$x - 3y = - 6 \\ x + 2y = 14$

___________

$- 5y = - 20$

so,

y=4

now to find the value of x we have to substitute the value of y in any of the above two equations, I choose eq2

we get,

$x + 2y = 14 \\ x + 2 \times 4 = 14 \\ x + 8 = 14 \\ x = 14 - 8 \\ x = 6$

7 0

3 years ago

Suppose calls are arriving at a telephone exchange at an average rate of one per second, according to a Poisson arrival process.

antoniya [11.8K]

Answer:

Explanation has been given below

Step-by-step explanation:

a) inter arrival times are exponentially distributed with mean 1/n , where n = rate = 1/sec.

probability distribution function is F(t)=n*exp(-n*t).

reference to any kth packet and the (k-1)th packet

the answer is = integration of F(t).dt with limits 0 to 2 = 1 - exp(-2*n) = 1 - exp(-2)

b) t=5 , P(q) = exp(-5)*(5)^q/factorial(q)

probability of fourth call within t=5 seconds is =

that is P(4) P(5) ...... = 1 - ( P(0) P(1) P(2) P(3) ) ; put the values and get the answer.

c) number of calls/rate = 4/n = 4 seconds

5 0

3 years ago

What is the volume of this rectangular prism? 30.75 cm^3

Alex787 [66]

This question is incomplete. Because it lacks the diagram of the Rectangular prism. Find attached to this answer the appropriate diagram.

Answer:

295.2 cm³

Step-by-step explanation:

A Rectangular Prism is a 3 dimensional geometric shape.

The formula used to calculate the volume of the Rectangular Prism = Length × Width × Height

Length = 15cm

Height = 4.8cm

Width = 4.1cm

Volume of the Rectangular Prism = 15cm × 4.8cm × 4.1cm

= 295.2 cm³

3 0

3 years ago