TY! The First Oil Well In 1859, Edwin Drake drilled the PENNSYLVANIA world’s first oil well, beside Oil Creek near Titusville, Pennsylvania. Almost overnight, towns sprang up in the area and people came from everywhere to be part of the oil boom. Until 1901, Pennsylvania produced half of the world’s oil.

Before Drake drilled his well, about 5 gallons of oil could be collected above ground each day near Oil Creek. Drake’s well produced 210 times as much oil each day as could be collected above ground.

a. Given that there are 42 gallons in one barrel, find the daily production in barrels of Drake’s well.

b. Let x represent the number of days. Write an expression for the number of barrels of oil produced in x days.

c. How many days did it take the well to produce 500 barrels of oil? How do you know?

A. 5

B. 210x/42

C. 100

Step-by-step explanation:

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation: