Answer: She had 16 boxes of pencils.
Step-by-step explanation: Divide 96 by 6 to get 16.
Answer:
6) B. Reflection over the y-axis, then reflection over the x-axis
7) B. The initial value of the function is the y-intercept of the line, 275
8) A. y = 45 - 6x
Step-by-step explanation:
6) See first attached file :)
7) Option A is incorrect because the rate of change/slope is "-20x" not just "-20." Option C is incorrect because the initial value/y-intercept is $275 and not $2. Option D is incorrect because it implies she doesn't withdraw $20 the first month, which wasn't mentioned in the question. Option B is the only one to apply to the graph. See second attached file for graph reference.
8) The question explains the function "y=6x+45" and that matches all options except for option A.
haha third time for this one
Answer:
For finding the inflection points you'll have to put the first derivative equal to zero and solve for x. After you've done that, you can plug in the x you've just found into the original function and find also the y, so you'll find the ordered pair (x,y) of the inflection point(s).
Answers and steps are in the picture below!
Hello:
let : f(x) = <span>x3 − 6x2 + kx + 10
</span><span>If (x + 2) is a factor of x3 − 6x2 + kx + 10 : f(-2) = 0
(-2)^3-6(-2)² +k(-2)+10=0
-8 -24-2k +10 = 0
-2k =8+24-10
-2k = 22
k = -11</span>