Answer:
A. 1
Step-by-step explanation:
I see only one red function line in the graph. this line represents the simple function y = 1, for x in the interval [-2,1].
the domain of a function defines the possible values for x, and the range of a function defined the possible values for y.
this function has only one possible value for y : 1
so, only A applies.
ANSWER:
a = 11
b = 2
Explaination:
We have two equations:
a = 5b + 1 .....................(1)
a = 3b + 5.....................(2)
Here we use substitution method in order to solve the set of equations.
put a=3b+1 to equation (1)
3b + 5 = 5b + 1
Solve for b
5 = 5b -3b + 1
5-1 =2b
4 = 2b
b = 2
Now put the value of b = 2 into the equation (1) or (2)
a = 5b + 1
a = 5(2) + 1
a = 10 + 1
a = 11
Answer:
0.643
Step-by-step explanation:
Let, s = play a sport
c = participate in a club
P(s) = 0.14
P(s n c) = 0.09
probability that a student participates in
a club given that they also play a sport = P(c | s)
P(c | s) = P(c n s) / P(s)
P(c | s) = 0.09 / 0.14
P(c | s) = 0.64285
= 0.643
<h3>
Answer: x = (
y-2)^2 +
5</h3>
In other words, y-2 goes in the first box and 5 goes in the second box.
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Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
I think that the correct answer is B
Hope that helps.
