Select the correct answer.
What are the x-intercepts of this quadratic function?
g(x) = -2(x − 4)(x + 1)
A.
(-4,0) and (1,0)
B.
(-4,0) and (-1,0)
C.
(4,0) and (1,0)
D.
(4,0) and (-1,0)

To find the x-intercepts of a quadratic function, we need to determine the values of x when the function g(x) is equal to zero.

Given the quadratic function g(x) = -2(x - 4)(x + 1), we can set g(x) equal to zero and solve for x.

-2(x - 4)(x + 1) = 0

To solve this equation, we can apply the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.

So, we set each factor equal to zero and solve for x:

x - 4 = 0
x + 1 = 0

For the first equation, by adding 4 to both sides, we get:
x = 4

For the second equation, by subtracting 1 from both sides, we get:
x = -1

Therefore, the x-intercepts of the quadratic function g(x) = -2(x - 4)(x + 1) are x = 4 and x = -1.

Now, let's match the answer choices with our results:

A. (4,0) and (1,0) - This answer choice does not match our results.

B. (-4,0) and (1,0) - This answer choice does not match our results.

C. (4,0) and (-1,0) - This answer choice matches our results.

D. (-4,0) and (-1,0) - This answer choice does not match our results.

Therefore, the correct answer is C. The x-intercepts of the quadratic function g(x) = -2(x - 4)(x + 1) are (4,0) and (-1,0).

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram