This Question is related to Direct Proportionality
Here : The Number of Miles Driven is Directly Proportional to Number of Gallons of Gas
Number of Miles ∝ Gallons of Gas
Given Keith with 16 Gallons of Gas Drove 436 Miles
⇒ Keith with 1 Gallon of Gas would Drive - 
Miles
⇒ Keith with 1 Gallon of Gas would Drive : 27.25 Miles
⇒ Keith with 14 Gallons of Gas would Drive : 14 × 27.25 Miles
⇒ Keith with 14 Gallons of Gas would Drive : 381.5 Miles
This appears to be just an expression we are simplifying, not an equation we are solving. I THINK you are saying that the expression looks like this:
If you rationalize the denominator, you would get this expression:
which, after simplifying, looks like this:
and that's as simple as I can see that one getting. You can't factor anything out of the denominator to cancel with the numerator, so I think you're as simple as you can get there!
Hey there!
When they are asking which of them are equal we need to solve a, b, c and d and see if they match up to 6x^2-2x-20.
<u>Starting with A: </u>
Expand:
3 x 2x^2 + 3 x -x + 3 x -6
Simplify 3 x 2x^2 to 6x^2
6x^2 + 3 x -x + 3 x -6
Regroup.
6x^2 = 3x + 3 x -6
Simplify 3 x -6 to -18
6x^2 - 3x - 18
That does not match up to 6x^2-2x-20.
A is INCORRECT.
<u>Solving B:</u>
Collect like terms:
4x - 2x + 2x^2 - 20
The ones bolded are like terms.
So, we now collect them and add them.
4x^2 + 2x^2 = 6x^2
6x^2 - 2x - 20
That matches up with 6x^2-2x-20.
B is CORRECT.
<u>Solving C:</u>
Multiply the parentheses then multiply:
6x^2-12x+10x-20
Collect like terms:
6x^2 - 2x - 20
This matches up with 6x^2-2x-20.
Thus, C is CORRECT.
<u>Solving D:</u>
Multiply the terms in the parentheses by -2:
6x^2 - 2x - 2 x 10
Multiply the numbers:
6x^2 - 2x - 20
This also matches up with 6x^2 - 2x - 20 / they are <u>equal.</u>
Thus, D is also CORRECT.
<h3>Therefore, our answers are: </h3><h2><u>B, C, D </u></h2>
Thanks a ton for using Brainly! :)
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20,000, so that his interest rate will be lower and he will overall save $$$
Martin's error : The graph of g(x) should be translated 3 units left (not right) from the parent graph.
<u>Concept - Horizontal Translation</u>:
If f(x) is a parent function, then
shifts graph of f(x) by <em>h</em> units to the left.
shifts graph of f(x) by <em>h</em> units to the right.
<u>Given:</u>
Parent function: 
By using concept of horizontal translation,
The graph of g(x) should be translated 3 units left from the parent graph.
i.e. Martin's error : The graph of g(x) should be translated 3 units left (not right) from the parent graph.
Learn more about <u>translation</u>:
brainly.com/question/23871783
brainly.com/question/17151826
