Answer:
B = 1.875
Step-by-step explanation:
given that A varies directly as B and inversely as C then the equation relating them is
A = ← k is the constant of variation
to find k use the condition A = 12 when B = 3 and C = 2 , then
12 = ( multiply both sides by 2 to clear the fraction )
24 = 3k ( divide both sides by 3 )
8 = k
A = ← equation of variation
when A = 10 and C = 1.5 , then
10 = ( multiply both sides by 1.5 )
15 = 8B ( divide both sides by 8 )
1.875 = B
Answer:
The expressions which equivalent to are:
⇒ B
⇒ C
Step-by-step explanation:
Let us revise some rules of exponent
Now let us find the equivalent expressions of
A.
∵ 4 = 2 × 2
∴ 4 =
∴ =
- By using the second rule above multiply 2 and (n + 2)
∵ 2(n + 2) = 2n + 4
∴ =
B.
∵ 4 = 2 × 2
∴ 4 = 2²
∴ = 2² ×
- By using the first rule rule add the exponents of 2
∵ 2 + n + 1 = n + 3
∴ =
C.
∵ 8 = 2 × 2 × 2
∴ 8 = 2³
∴ = 2³ ×
- By using the first rule rule add the exponents of 2
∵ 3 + n = n + 3
∴ =
D.
∵ 16 = 2 × 2 × 2 × 2
∴ 16 =
∴ =
×
- By using the first rule rule add the exponents of 2
∵ 4 + n = n + 4
∴ =
E.
is in its simplest form
The expressions which equivalent to are:
⇒ B
⇒ C