Answer:
Step-by-step explanation: Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
Answer:
Step-by-step explanation:
y=x^2-x+1
We want to solve for x.
I'm going to use completing the square.
Subtract 1 on both sides:
y-1=x^2-x
Add (-1/2)^2 on both sides:
y-1+(-1/2)^2=x^2-x+(-1/2)^2
This allows me to write the right hand side as a square.
y-1+1/4=(x-1/2)^2
y-3/4=(x-1/2)^2
Now remember we are solving for x so now we square root both sides:
The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.
This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.
That is we want:
Add 1/2 on both sides:
The last step is to switch x and y:
Answer:
7 books
Step-by-step explanation:
make an equation
x = # of books each book is $4 so its 4x
the shipping fee no matter how many books he buys will be $2 so it's just 2
the equation looks like this:
4x + 2 = 30
we set equal to 30 cuz he can't spend more than $30
solve for x
4x = 30 -2
4x = 28
x = 7
Brett can buy no more than 7 books.
a). 0.45 with a line over the 45 means 0.45454545454545... forever.
It's equivalent to 45/99 which is <em>5/11</em> .
b). 0.45 with a line over the 5 means 0.455555555... forever.
It's equivalent to (0.4 + 0.555555.../10)
The 0.4 part is 4/10
The 0.5555555555.../10 part is 5/90 .
(4/10) + (5/90) = <em>41/90 </em>
c). 0.45 means 45/100 . That's <em> 9/20</em> .
I don't think you're supposed to be posting unit test questions on Brainly.
