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
Simplified value of subtraction of 7x+27x+2 from -5x^2-2x−5x 2 −2x. is 
.
Given Expressions 7x+27x+2 and -5x^2-2x−5x 2 −2x.
Expressions refers to the combination of numbers, variables and symbols. It represents the relationship between variables. They are solved for finding out the value of variables. It is mainly not in equal to form. Subtraction is possible when subtracting the coefficients of same variable.
We have to subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x. and to do this we need to first solve the expressions itself.
7x+27x+2=34x+2------------------1
=
--------------------2
Now subtract 1 from 2
=-34x+2
=.
Hence the simplified value of subtraction is .
Learn more about expressions at brainly.com/question/723406
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This is one of the photos I used to answer, I’m going to send the second one
Answer: 16 rotations
Step-by-step explanation:
Given : Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference.
Length of ramp = 500 cm
Circumference of wheels = 32 cm
Formula :
Number of rotations = Length of ramp divided by Circumference of wheels
= 500 cm ÷ 32 cm
= 15.625 ≈ 16 [approx]
Therefore, each wheel makes 16 rotations while Shawn is coasting down the ramp.
