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:
Therefore Josie drove 57.5 miles.
Step-by-step explanation:
Speed: The ratio of distance to time.
To find the distance we use the following formula
Given that Josie drove 45 minutes at 70 miles per hour.
In 45 minutes, she traveled = 
=52.5 miles.
The she drove 15 minutes at 20 mile per hour.
In 15 minutes, she traveled 
=5 miles
Therefore Josie drove (52.5+5) miles= 57.5 miles.
Answer:
g(x)=|x|
Step-by-step explanation:
Answer:
I think the answer is 90 degrees
Step-by-step explanation:
The missing step 2 should be;
The quantity of the sum of thirty six plus two divided by 0.5 − 14.8 ÷ 8
The missing step 6 would be that; 76 - 1.85
<h3>How to Solve Mathematical Order of Operations?</h3>
We want to know the steps to solving the expression the quantity of the sum of six squared plus two divided by the absolute value of negative 0.5 − 14.8 ÷ 8
This can be expressed as;
6² + 2 ÷ |-0.5| - 14.8 ÷ 8
Thus, the next step which is step 2 should be;
The quantity of the sum of thirty six plus two divided by 0.5 − 14.8 ÷ 8
The missing step 6 would be that;
76 - 1.85
Read more about Order of Operations at; brainly.com/question/27529825
#SPJ1
