Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1
the minimum value is 1
Answer:
the answer is 400-8=394.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.
To find it, we use the given point of g, (2,1)
So g(2) = 1
meaning that
a·2² = 1
4a = 1
a = 1/4
Answer:
Aviara his more boys
AOMS 400 students / 5 = 80 X 3 = 240 girls
VMS 360 students / 8 = 45 X 5 = 225 girls
Answer:
a. Quantitative variable.
b. Categorical variable.
c. Categorical variable.
d. Quantitative variable.
Step-by-step explanation:
Categorical variables are usually labels or words that describe a property.
Quantitative variables are countable numeric values and represent some sort of measurement. (Note that numbers can also be categorical variable if they are used to simply label something instead of providing numeric value.)
a. Noise levels in a city (in decibels )
Represents the amount of noise in a countable quantity, Quantitative variable.
b. Dream vacation location
Represents the name of a place, Categorical variable.
c. Favorite baby name
Represents the name of a person, Categorical variable.
d. Calories in a cheese Danish
Represents the amount of calories in cheese Danish in a countable quantity, Quantitative variable.