Answer:
Domain = [5,∞)
Step-by-step explanation:
Given: 
We are given that f(x) is shifted right by 5 units.
Rule : f(x)→f(x-b)
The graph f(x) shifted b units right
So, using rule :
→
So, 
Now to find domain:


So, Domain = [5,∞).
Answer:
x=0,3
Step-by-step explanation:
start by dividing every term by 3
x^3-3x^2+x-3
group into 2 terms
(x^3-3x^2)+(x-3)
simplify as much as you can
x^2(x-3)+(x-3)
combine terms
(x^2)(x-3)
x=3, 0
Answer:
15. ∠ABE = 50°
16. ∠EBD = 10n - 19
Step-by-step explanation:
If
bisects ∠ABD then we have ∠ABE = ∠DBE
So, we will have: (6x + 2)° = (8x - 14)°
⇒ 6x + 2 = 8x - 14
⇒ 8x - 6x = 14 + 2
⇒ 2x =16
⇒ x = 8
∴ ∠ABE = 6(8) + 2
= 48 + 2
= 50°
∴∠ABE = 50°
16. If
bisects ∠ABD then ∠ABE + ∠EBD = ∠ABD
⇒(12n - 8) + ∠EBD = (22n - 11)
⇒ ∠EBD = 22n - 11 - 12n + 8
⇒ ∠EBD = 10n - 3
Hence, the answer.
Answer:
SA = 384 in²
Step-by-step explanation:
Assuming we're finding surface area:
SA of top of large cube: 8(8) - 4(4) = 48 in²
SA of sides of large cube: 4(8)(8) = 256 in²
SA of exposed faces of small cube: 5(4)(4) = 80 in²
Total = 48 + 256 + 80 = 384 = ∑SA