Answer:
Part 1)
The equation by factorization is
Both values of x are
Part 2) The dimensions of the cuboid are
, and
Step-by-step explanation:
step 1
we know that
The volume of the cuboid is equal to
substitute the given values
so
Complete the square
square root both sides
so
therefore
The equation by factorization is
step 2
Find the dimensions of the cuboid
The dimensions are
Answer:
A = 10.5 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 3 , then
A = 0.5 × 7 × 3 = 10.5 cm²
Answer:
19/25
Decimal: 0.76
Percent: 76%
Step-by-step explanation:
The notation
h: x --> ax+b
is another way of saying h(x) = ax+b
The input is x, the output is h(x) = ax+b
The composite function notation h^2 is the same as (h o h)(x) or h(h(x)). I prefer h(h(x)) as it is the most descriptive of the three notation styles. The square notation is easily confused with actual squaring (when instead we want composite notation of a function with itself)
----------------
h(x) = ax+b
h(x) = a( x )+b
h(h(x)) = a( h(x) )+b ... replace every x with h(x)
h(h(x)) = a( ax+b )+b .... replace the h(x) on the RHS with ax+b
h(h(x)) = a*ax + ab + b
h(h(x)) = a^2*x + (ab + b)
-----------------
Since h(h(x)) = 36x-35, this means we can equate the two expressions to find a and b
a^2*x + (ab+b) = 36x-35
we see that
a^2 = 36, so a = 6 (keep in mind a > 0)
since a = 6, we know that
ab+b = -35
6b+b = -35
7b = -35
b = -35/7
b = -5
Answer:
x=39/2
Step-by-step explanation:
2x-3=36
+3 +3
2x=39
/2 /2
x=39/2