Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4
Answer:
12 servings
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Option A
-x + 6y = 42 is the standard form
<u>Solution:</u>
Given that we have to write in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Given equation is:
Let us convert the above equation into standard form
Make the denominator same in R.H.S
Solve the above equation
Move 6 from R.H.S to L.H.S
Bring all the terms to one side, leaving only constant on R.H.S
The above equation is of form Ax + By = C
Thus option A is correct
The answer is 4) as it is more than 40 degrees
Answer:
Mean=50.
standard deviation=50.
Step-by-step explanation:
Let the perfect score be 100.
The mean(average) of a data is given by:
Here the number of data points are 100. out of which 50 attains a value 100,and 50 attains value 0.
so, sum of data points=50×100+50×0=5000.
Mean=50.
"Now the standard deviation of data points are calculated by firstly subtracting mean from every entry and then square the number and take it as new entry and calculate the mean of the new data entry and lastly taking the square root of this new mean".
Here if 50 is subtracted from each entry the new entry will have 50 entries as '50' and 50 entries as '-50'.
next on squaring we will have all the 100 entries as '2500'.
now the mean of these entries is:
=2500
taking it's squareroot we have
Hence, standard deviation=50.