Answer:
c = 5.5
Step-by-step explanation:
c represents the grams of carbohydrates
27 is the total number of calories that are received by the granola bite.
4 is the number of calories from 1 gram of carbohydrates and
5 is the number of calories that are received from other ingredients.
Answer of Part a:
5 is the number of calories that are received from other ingredients.
Part b:
take left hand side (LHS) and put values of c = 8 and 3 one by one.
So, LHS becomes:
4 \times 8 + 5 = 37 4 \
times 3 + 5 = 17
So, Priya is correct that neither 8 or 3 could be solution.
Part c:
So, solution to the equation is: c = 5.5
Yes that is a repeating decimal the answer would be -0.4444444.. and so on.
You can write the equation using conventional symbols as
3x^2 - 2x - 5 = 0
You can recognize that the middle coefficient is equal to the sum of the other two, so those two coefficients can be used to factor the equation.
(1/3)(3x +3)(3x -5) = 0 . . . . . put the coefficients in the form (1/a)(ax + ...)(ax + ...) (x+1)(3x-5) = 0 . . . . . simplify
The solutions are the values of x that make one or the other of the factors equal to zero.
x = -1
x = 5/3
