Answer:linear
Step-by-step explanation:
it is a straight line
Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
Answer: at the values where cos(x) = 0Justification:1) tan(x) = sin(x) / cos(x).
2) functions have vertical asymptotes at x = a if Limit of the function x approaches a is + or - infinity.
3) the limit of tan(x) approaches +/- infinity where cos(x) approaches 0.
Therefore, the grpah of y = tan(x) has asymptotes where cos(x) = 0.
You can see the asympotes at x = +/- π/2 on the attached graph. Remember that cos(x) approaches 0 when x approaches +/- (n+1) π/2, for any n ∈ N, so there are infinite asymptotes.
The chips all together are 2.67, the candy bars total 2.5, the soda bottle is 1.89$. Add that all together for a total of 7.06. Multiply that by 1.08 to account for taxes and get 7.62.
1/4x = 24 for cans
Multiply both sides by 4 (the multiplicative inverse of 1/4)
x = 96 days
3/4x = 38 for dry food
Multiply both sides by 4
3x = 152
x = 50.666667
So I would say Ann can be gone 50 days before Maggie runs out of food. I don’t think they would count the 2/3 of a day. She will run out of dry food before canned food.