Answer: A good way to determine if a line represents a valid function is to use the vertical line test.
To do this, you imagine a vertical (up and down) line moving across your graph from left to right. It should only be touching the line at one point at a time.
If it is touching more than one point on the line at a time, the line is not a valid function.
The first line and its inverse both pass the test.
The second line passes the test, but its inverse does not.
The third line also passes the test, but again, its inverse does not.
The same applies to the fourth line and its inverse.
Step-by-step explanation:
Answer:
x= 200
Step-by-step explanation:
The given equation is:
1/5 x - 2/3 y = 30
The value of y is 15
Put the value of y in the given equation:
1/5 x - 2/3(15) = 30
1/5 x- 10 = 30
Take the L.C.M of the denominator
x-50/5 = 30
Move the denominator to the R.H.S
x-50 = 30*5
x-50 = 150
Combine the like terms
x= 150+50
x = 200
The value of x is 200...
Answer:
The answer is 2.0190
Step-by-step explanation:
<em>From the given question,</em>
<em>We recall that,</em>
<em>p = 141/241 = 0.5850</em>
<em>so, p = 0.5</em>
<em>The Hypothesis is:</em>
<em>H₀ : P = 0.5, this means that H0:50% of the games played will be won</em>
<em>vs</em>
<em>H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.</em>
<em>n=241,x=141</em>
<em>Then,</em>
<em>SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421</em>
<em>z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190</em>
<em>therefore, there is strong evidence that there is home field advantages in professional football.</em>
Answer:
16+2=18
18-3=15
2*3=6
Step-by-step explanation:
The first thing that he has to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a " 1 " in front of the parentheses, to help them keep track of the minus sign. Here's what the subtraction looks like, when working horizontally/
