F(x)=-4x+9 g(x)=-3x^2+5x+9, Find f(x)•g(x)
1 answer:
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<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is
We have to solve the above expression using change of base formula which is given as
Now, let us first apply logarithm for the given expression.
Then given expression turns into as,
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
Step-by-step explanation:
Let's represent the two integers with the variables and
.
From the problem statement, we can create the following two equations:
With the first equation, we can subtract from both sides to isolate the
variable to the left-hand side:
Now that we have a value for , we can plug it into the second equation and solve for
:
Now, let's move everything to one side of the equation:
Factoring this quadratic will give us two values for :
Since we now know , we can plug this back into either of the original equations to get a value for
, which will be
.
So the two numbers that sum to and have a product of
are
.