3)
f(x) =(x+1)/4
so
f(6a) = (6a+1) / 4
f(6a) =3/2(a) + 1/4
8)
f(x) =(x+1)/4 = 0
x + 1 =0
x = -1
answer
x = -1 makes f(x) = 0
9)
(x+1)/4 >= 10
x + 1 >= 40
x >= 39
Answer
Domain is any number greater or equal 39 (x >= 39)
Let the numbers be 1k, 2k , and 3k respectively
Since the sum of their cubes is 4500,
(1k)³+(2k)³+(3k)³=4500
--> k³(36)= 4500
--> k = 5
Hence, the numbers are: 5,10 and 15 respectively
80,000,000 = 80,000,000 (in expanded form)
80,000,000 = eighty million (in word form)
80,000,000 = 8 x 10^7 (in standard form)
square has 4 equal sides
so A = 144 = 12^2
A = L x W
= W. W
= W^2
12^2 = W^2
so W = 12
answer: one side of the square = 12
Step 1 :
(23 x 2 - 5) • x 3
Step 2 :
Trying to factor as a Difference of Squares :
Factoring: 8 x 2-5
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Answer:
(8 x 2 - 5) • x 3
