Answer:
Step-by-step explanation:
Given:
The quadratic function is given as:
The standard form of a quadratic function is given as:
, where, 'a', 'h' and 'k' are real numbers.
Now, in order to convert the given function to standard form, we use completing by square method.
![-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4](https://tex.z-dn.net/?f=-x%5E2%2B2x%3D-%28x%5E2-2x%29%3D-%5B%28x-2%29%5E2-2%5E2%5D%3D-%5B%28x-2%29%5E2-4%5D%3D-%28x-2%29%5E2%2B4)
Now, can be rewritten as:
Therefore, the standard form of the function is:
Answer:
Option C is right
Step-by-step explanation:
Given that the random variable, X, the ages of voters as per poll worker analysis is having mean as 65 and std deviation as 5
X is normal (65,5)
To convert to Z score from x we use
Z = 
Or we can write in terms of x as
X = 65+5z
When z = 1.14
we can convert into z as follows
X=65+5(1.14) = 65+5.7=70.70
Round off to 71
You would find that in the first quadrant.
The distance between the two adjacent gas stations will be 5 miles.
<h3>What is the difference between a ratio and a proportion?</h3>
A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Distance between city airport and the train station = 45 miles
Stations equally spaced between the airport and train station=9
Let the space between two gas stations will be x;
x = 45/9
x=5 mile.
Hence, the distance between the two adjacent gas stations will be 5 miles.
To learn more about the ratio, refer to the link;
brainly.com/question/14335762
#SPJ1
Answer: A y= -4x + 2
Step-by-step explanation:
y= mx + b
when x is 0, y is 2 which you make the y intercept (b) 2
going from x=0 to x=1, the y coordinate moves down 4, so the slope would be -4
:)
