The number of soda bottles Katie bought is 6
The given parameters are:
Assume the number of soda bottle is x.
So, we have:
This gives
Subtract 14.99 from both sides of the equations
Divide both sides of the equations by 1.5
Rewrite the equation as
Hence, the number of bottles is 6
Read more about linear equations at:
So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:
Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:
Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:
Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:
Now you can rewrite it as:
Next, multiply:
Next, divide:
And lastly, simplify:
<u>The correct option is C. x² + 4x + 4.</u>
Answer:
Step-by-step explanation:
49767269 × 327686000 - 1029 +
= 16308037309534000 - 1029 +
= 16308037309532972 +
=