Answer: 1. [-8, 8]
2. [-27, 27]
Step-by-step explanation:
1. |X|≤8
x≤8 or x>=-8
-8<=x<=8 ==> [-8, 8]
2. |X|≤27
x≤27 or x>=-27
-27<=x<=27 ==> [-27, 27]
Answer:
I can't be sure.
Step-by-step explanation:
I can't be sure if this image is to scale or not, there is no marker indicating the distance.
Given :
Set of x-intercepts {-3,1,7},
point through which it passes (-2,54)
Now,
Step 1: Substitute value of x intercepts in equation, 
, we get,
... equation (1)
Step 2: substitute x an y with the point through which it passes,
∴ 
Step 3: Now, substituting value of a in equation (1), we have
(Requited cubic equation)
Answer:
the answer is 4
Step-by-step explanation:
you divide -4 to both sides and 16 divided by -4 is 4
Answer:
4989600 ways
Step-by-step explanation:
From the question,
The word MATHEMATICS can be arranged in n!/(r₁!r₂!r₃!)
⇒ n!/(r₁!r₂!r₃!) ways
Where n = total number of letters, r₁ = number of times M appears r₂ = number of times A appears, r₃ = number of times T appears.
Given: n = 11, r₁ = 2, r₂ = 2, r₃ = 2
Substitute these value into the expression above
11!/(2!2!2!) = (39916800/8) ways
4989600 ways
Hence the number of ways MATHEMATICS can be arranged without duplicate is 4989600 ways
