Answer:
To answer items such as this, we directly substitute the a + 2 to the all the x's in the function such that,
f(a + 2) = (3 + a + 2) / (a + 2 - 3)
Simplifying the function generated above,
f(a + 2) = (5 + a) / (a - 1)
Answer: y = -x + 7
Step-by-step explanation:
The slope is 
, so we know the equation is of the form 
.
Substituting in the coordinates (1,6) to find b,
Thus, the equation is y = -x + 7
There are 650 toothpicks in a regular sized box.
That is the volume of the box = 650 toothpicks
Jumbo box is made by doubling all the dimensions.
We know volume = length * width * height = L*W*H
We double all the dimensions for Jumbo box
L becomes 2L
W become 2W
H becomes 2H
Volume of Jumbo box = 2L * 2W * 2H = 8*L*W*H
Volume of jumbo box = 8 * volume of small box
= 8 * 650= 5200
The Jumbo box holds 5200 toothpicks .
Answer:
k = -6/35
Step-by-step explanation:
To make the function continuous
kx^2 = x+k
These must be equal where the function is defined for two different intervals
This is at the point x=-6 so let x=-6
k(-6)^2 = -6+k
36k = -6+k
Subtract k from each side
36k-k = -6+k-k
35k = -6
Divide by 35
35k/35 = -6/35
k = -6/35
