Answer: 14 gallons of gasoline.
Step-by-step explanation:
given data:
25(x + 3) = 424
where x is the number of gallon of gasoline needed to purchase.
Solution.
25(x + 3) = 424
first we open the bracket
25x + 75 = 424
collect like terms
25x = 424 – 75
25x = 349
divide both sides by 25
25x/25 = 349/25
x = 13.96
x = 14
mathew needs to get 14 gallons of gasoline.
Continent X would be 6120000
Continent Y would be 5480000
Continent X is larger
It is 640000 or 6.4x20^5 is greater
To factor binomials and trinomials in one variable, you look for the common factors in the terms
<h3>How to factor a binomial and trinomial?</h3>
Binomials are polynomials with two terms while trinomial have three terms.
For instance, we have:
- Binomial: x^2 - 4
- Trinomial = x^2 + 4x + 4
To factor x^2 - 4, we use the following steps:
x^2 - 4
Express 4 as 2^2
x^2 - 4 = x^2 - 2^2
Apply the difference of two squares
x^2 - 4 = (x - 2)(x + 2)
To factor x^2 + 4x + 4 we use the following steps:
x^2 + 4x + 4
Express 4x as 2x + 2x
x^2 + 4x + 4 = x^2 + 2x + 2x + 4
Factorize
x^2 + 4x + 4 = x(x + 2) + 2(x + 2)
Factor out x + 2
x^2 + 4x + 4 = (x + 2)x + 2)
Rewrite as:
x^2 + 4x + 4 = (x + 2)^2
Read more about polynomials at:
brainly.com/question/4142886
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Multiply both sides of the first equation by
:
This is quadratic in
; to make this clear, substitute
. Then
One of these solutions for
is negative. But, if
is real, then
is always supposed to be positive, so we can throw out the negative root, leaving
.
We actually don't have to solve for
exactly. We can just rewrite the next two equations in terms of
.
Since
, we get