3x + 5 = 14 what is x
2 answers:
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Step 1: Assign variable for the unknown that we need to find.
Let ' x ' be the number of miles traveled by Jacob so far (His distance from starting point)
Step 2: Use the sentence given to set up an equation
Sentence 1: "His distance from his starting point was exactly 100 miles more than three times the distance remaining until the finishing point"
Total distance is 2800 miles, if his distance from the starting point is 'x', then remaining distance can be represented by 2800 - x.
Using the sentence we can write the below equation...
Distributing 3 in the right side of the equation, we get...
Adding 3x on both sides of the equation, we get...
Combine like terms in the left side of the equation, we get...
Dividing 4 on both sides of the equation, we get...
Simplifying the fraction on either side of the equation, we get...
Conclusion:
Out of the 2800 miles, Jacob travelled a distance of 2125 miles and remaining miles that he need to cover will be <u>675 miles</u>.
Answer:
Step-by-step explanation:
So we have the expression:
And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:
This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:
For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:
Grouping:
Now, substitute back the x² for u:
And this is the simplest form.
And we're done!