The third choice is the correct one.
_____
When x=3, the expression evaluates to √(-3 -3) = √(-6), not defined. Hence the first, second, and fourth choices are not viable.
Answer:
0 ft < w ≤ 7 ft
Step-by-step explanation:
A=wl, where w, l >0
A≤175 ft²
l= w+18
w(w+18)≤175
w²+18w-175≤0
zeros of are -25 and 7
(w + 25)*(w - 7) ≤ 0
w+25≤0, w-7≥0 ⇒ w ⊂ ∅
w+25≥0, w-7≤0 ⇒ -25 ≤ w ≤ 7,
as w>0, we have answer: 0 < w ≤ 7
Positive,
because 2*12 equals to 24, and 24 is positive!
Answer:
a=3 and b=-2
Step-by-step explanation:
We are given that five terms of a quadratic sequence are
1 8, 21, 40, 65.
The nth term of this sequence
=
We have to find the value of a and b where a and b are integers.
For n=1
......(1)
For n=2

.....(2)
Subtract equation (1) from (2) we get


Using the value of a=3 in equation (1)


Hence, the value of
a=3 and b=-2
Answer:
C. Greg weighs 180 pounds, and Justin weighs 165 pounds
Step-by-step explanation:
let G be the weight of Greg and J be the weight of Justin
G -15=J
G/2 +75=J
G =J+15 (1)
G+150=2J. (2)
If We substitute G by J+15 in equation (2) we will get:
G =J+15
J+15+150=2J
G =J+15
J+15+150=2J
G =J+15
J+165=2J
then J=165 and G=165+15=180