6(x+9) is the factored expression.
For this case we have the following expression:
We multiply both sides by: 
We divide both sides by 216:
To divide powers of the same base, we place the same base and subtract the exponents:
Rewriting:
To multiply powers of the same base, we place the same base and add the exponents:
We know that any number raised to zero is 1, 
So, for equality to be true:
Answer:
Answer:
1 < x < 19
Step-by-step explanation:
Triangle Inequality Theorem
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We are given the measures y=10, z=9. The third side must satisfy:
10 - 9 < x < 10 + 9
1 < x < 19
Answer:
£562.43
Step-by-step explanation:
£500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years
Given data
P= £500
t= 3 years
r= 4%
The expression for the compound interest is given as
A= P(1+r)^t
substitute
A= 500(1+0.04)^3
A= 500(1.04)^3
A= 500*1.124864
A= 562.432
Hence the final amount is £562.43
Answer:
Line 4
Step-by-step explanation:
6(x+2) = 24
6x+12=24
6x=12
x=2
