Answer:
The coordinates are (2,8)
Step-by-step explanation:
A hole is where both the numerator and the denominator are zero
f(x)=x^2+4x−12 / x−2
Factor the numerator
f(x) = (x+6) (x-2)/ (x-2)
The hole will occur where x-2 =0
x-2=0
Add 2 to each side
x-2+2 =0+2
x=2
There is a hole at x=2
If we could cancel the x-2 values from the top and bottom, we are left with
f(x) = x+6
At x=2
f(2) = 6+2
f(2) would be 8
The coordinates are (2,8)
There is a hole
i. The Lagrangian is

with critical points whenever



- If
, then
. - If
, then
. - Either value of
found above requires that either
or
, so we get the same critical points as in the previous two cases.
We have
,
,
, and
, so
has a minimum value of 9 and a maximum value of 182.25.
ii. The Lagrangian is

with critical points whenever
(because we assume
)



- If
, then
. - If
, then
, and with
we have
.
We have
,
,
, and
. So
has a maximum value of 61 and a minimum value of -60.
A) 45 because 1350 divide by 30 equals 45. So 45 dollars u can afford
B) 1350 because 45 x 30 = 1350
C) 7% because it’s 7% to begin with
Answer:
60, 36, 84
Step-by-step explanation:
The angles of a triangle always add up to 180 degrees.
If the ratios are 5:3:7, that means that there are 15 pieces that we can break up the 180 degrees by.
180/15 = 12
Each value is 'worth' 12 degrees.
Thus the angles would be the ratios multiplied by 12.
5 x 12 = 60
3 x 12 = 36
7 x 12 = 84
1. The number '2' is located in the tens place
2. Since the number '3' is located in the ones place, it's telling the number '2' to stay the same
Stays the Same: 1,2,3,4
Goes Up: 5,6,7,8,etc
223 ⇒ 220