Answer:
1/16
Step-by-step explanation:
Because there is 16 sides.. and the probability to land on one side is 1/16
<span>In our equations, you can use the generic form of y = mx + b to determine the y-intercept for the function, with b equal to the y-intercept. For g(x), b =2 and for f(x), b=-1. These values are the y-intercepts for the functions. Based on this, the y-intercept of f(x) is 3 units below the y-intercept of g(x). We know this because we can subtract the b value from f(x) from g(x) to get the difference. Difference = 2 - (-1) = 3.</span>
Answer:
The number of candies in the sixth jar is 42.
Step-by-step explanation:
Assume that there are <em>x</em> number of candies in each of the six jars.
⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:

⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:

⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:

⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:

⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:

Now, it is provided that at the end, 30 candies are in the fourth jar.
Compute the value of <em>x</em> as follows:

Compute the number of candies in the sixth jar as follows:


Thus, the number of candies in the sixth jar is 42.
Answer:
The equation is true/ or an identity
Step-by-step explanation:
Plug in 7 for x, you get
2(7)+3=17
14+3=17
17=17
The range is {-37,-25,-13,-1}. So you need to figure out what four numbers from this list of numbers (1,2,3,4,5,6,7,8), when applied to this
function, ( f(x)=-6x+11 ), equals these numbers that are in the range {-37,-25,-13,-1}.
So you apply each of these numbers (1,2,3,4,5,6,7,8) into the function (f(x)=-6x+11)
one by one.
f(1)=-6(1)+11=5
f(2)=-6(2)+11= -1
f(3)=-6(3)+11= -7
f(4)=-6(4)+11= -13
f(5)=-6(5)+11= -19
f(6)=-6(6)+11= -25
f(7)=-6(7)+11= -31
f(8)=-6(8)+11= -37
As you can see, f(2),f(4),f(6),and f(8) equal the numbers that are in the range {-37,-25,-13,-1}.