Answer:
.
Step-by-step explanation:
A point of the form
belongs to the graph of this function,
, if and only if the equation of this function holds after substituting in
and
.
The question states that the point
belongs to the graph of this function. Thus, the equation of this function,
, should hold after substituting in
and
:
.
.
Solve this equation for the constant
:
.
Thus,
.
Answer: 0.475 cups of broth per serving.Explanation:1) Ratio given: i) To facilitate the operations, transform the mixed number 4 3/4 cups into improper fraction:
4 + 3/4 = [16 + 3] / 4 = 19 / 4
ii) ratio broth: servings
2) Proportion with the unknown number of cups of broth per serving:
3) Solve for the unknown:x = [19 / 4] cups × 1 serving / 10 servings = 19 / 40 cups = 0.475 cups
It is opposite of what the equation is saying. Like if you had to add you would subtract or if you multiply you would divide.
Statements Reasons
1.) M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2 1.) Given
2.) CM=MD 2.) Definition of midpoint
3.) 5x-2=3x+2 3.) Substitution
4.) 2x-2=2 4.) Subtraction Property of Equality
5.) 2x=4 5.) Subtraction Property of Equality
6.) x=2 6.) Division Property of Equality