How would the domain and range of the function
1
y = -x-6 be determined? Explain.

Answers

Answer 1

Answer:

Answer:

$- x - 6 = y \n - x = y + 6 \n ( - x)/( - 1) = (y + 6)/( - 1) \n x = (y + 6)/( - 1 ) \n x = - (y + 6)$

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Identify which property of equality is used to transform Equation 1 to Equation 2.Equation 1: x – 6 = 14Equation 2: x = 20A.multiplication property of equalityB.division property of equalityC.subtraction property of equalityD.addition property of equality
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A system in a noisy environment transmits 11111 or 00000 when 1 or 0 are transmitted to decrease the probability of error. Suppose the probability that one of the 5 transmitted bits is corrupted from 1 to 0 is 0.3 and the probability that a bit is corrupted from 0 to 1 is 0.1. Given that the probability that the system transmits a 0 or a 1 is equally likely, if 01101 was received what is the probability that a 1 was transmitted.

! If 18 in is is equal to 1 1/2 feet how many feet is a 72 in board

Answers

Answer:6 feet

Step-by-step explanation:

72 divided by 12 = 6

What is the value of 3 to the power 2 over 3 to the power 4? A. 1 over 81 B. 1 over 27 C. 1 over 9 D. 1 over 3

Answers

Answer:

Option C is correct.

Step-by-step explanation:

Given Expression:

$(3^2)/(3^4)$

We need to find Value of given expression.

Consider,

$(3^2)/(3^4)$

$\implies3^(2-4)$

$\implies3^(-2)$

$\implies(1)/(9)$

Therefore, Option C is correct.

One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do $3^((2-4))$ since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get $3^(-2)$ , which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.

Farmer Jim keeps 12 hens in every coop. If Farmer Jim has 20 coops, how many hens does he have in all? If every hen lays 9 eggs on Monday, how many eggs will Farmer Jim collect on Monday? Explain your reasoning using words, numbers, or pictures

Answers

Answer:

Step-by-step explanation:

hopes this helps

Answer:

2160 eggs on Monday

Step-by-step explanation:

Jim keeps 12 hens in every coop but Jim has 20 coops

12x20=240 hens

Every hen lays 9 eggs = 12x9= 108 eggs for 1 coop

108x20 = 2160 for 20 coops on Monday

Find the vertex of the parabola
y= x^2-2x-1
vertex (?,?)

Answers

$y=ax^2+bx+c\n\nvertex:(x_v;\ y_v)\n\nx_v=(-b)/(2a)\ and\ y_v=f(x_v)$

$y=x^2-2x-1\n\na=1;\ b=-2;\ c=-1\n\nx_v=(-(-2))/(2\cdot1)=(2)/(2)=1\n\ny_v=1^2-2\cdot1-1=1-2-1=-2\n\nAnswer:(1;-2)$

$y=a(x-h)^2+k \Rightarrow \hbox{vertex}=(h,k)\n\n y=x^2-2x-1\n y=x^2-2x+1-2\n y=(x-1)^2-2 \Rightarrow \hbox{vertex}=(1,-2)$