Answer:
option C
x = 2 , x = -5
Step-by-step explanation:
You have to remember the "Quotient Rule" for exponent having same base.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Here,
base = 12
exponents = (x² + 5x - 4) , (2x + 6)
12^(x² + 5x - 4) = 12^(2x + 6)
12^((x² + 5x - 4) /(2x + 6)) = 1
12^((x² + 5x - 4) -(2x + 6)) = 1
12^(x² + 5x - 4 - 2x - 6) = 1
12^(x² + 5x - 2x - 4 - 6) = 1
12^(x² + 3x - 10) = 1
ln (12^(x² + 3x - 10)) = ln(1)
(x² + 3x - 10)ln(12) = 0
ln(12) = 0 rejected
x² + 3x - 10 = 0
Now solve the quadratic equations by factorisation.
(x-2)(x+5) = 0
x = 2 , x = -5
Answer:
Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, your example is written in standard form.
Answer:
The age of triplets is 42 years old
Step-by-step explanation:
The question in English is
The sum of the ages of twins and triplets is 150 years if the ages are exchanged the new sum is 120 years. What is the age of triplets?
Let
x -----> twins age
y ----> triplets age
we know that
2x+3y=150 ------> equation A
2y+3x=120 -----> equation B
Solve the system by graphing
The intersection point both graphs is the solution of the system
The solution is the point (12,42)
see the attached figure
therefore
The age of triplets is 42 years old
Answer:
20%
Step-by-step explanation:
14/70 = 0.2
0.2 x 100= 20
