F(x) - g(x)
becomes
(3x + 2) - (x - 3)
which is
3x + 2 - x + 3
then add like terms
2x + 5
so f(x) - g(x) = 2x + 5
and it's domain should be all real numbers
Answer: 26.8 feet
Step-by-step explanation:
In the figure attached you can see two right triangles triangle ABD and a triangle ACD.
You are located at point B and the other person at point C.
The approximate height of the lifeguard station is <em>x</em>.
Keep on mind that:

Therefore:
<em>For the triangle ABD</em>:
[EQUATION 1]
<em>For the triangle ACD:</em>
[EQUATION 2]
Solve from DC from [EQUATION 2]:

Substitute into [EQUATION 1] and solve for x:

≈26.8ft
Answer:
height = 2.5 ft , base = 8 ft
Step-by-step explanation:
the area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height )
height = h then base = 2h + 3 and A = 10 , then
h(h + 3) = 10 ( multiply both sides by 2 to clear the fraction )
h(h + 3) = 20 , that is
h² + 3h = 20 ( subtract 20 from both sides )
h² + 3h - 20 = 0 ← in standard form
(h + 4)(2h - 5) = 0 ← in factored form
equate each factor to zero and solve for h
h + 4 = 0 ⇒ h = - 4
2h - 5 = 0 ⇒ 2h = 5 ⇒ h = 2.5
but h > 0 , then h = 2.5
and 2h + 3 = 2(2.5) + 3 = 5 + 3 = 8
that is height = 2.5 ft and base = 8 ft
A. 7.5 pages per hour B. $2.66 for one page
Answer:
1) x=-36
2) x>-11/12
3) x>-22
Step-by-step explanation: