Answer:
2x+3
Step-by-step explanation:
2x+3=Alan's Weight
2x= Dylan's weight times two
+3= the plus three more pounds
Which then equals Alan's weight.
ZX is √b²+a²
Step-by-step explanation:
From the diagram you notice that length WX is a and length WZ is b.ZX is the diagonal length formed by triangle ZWX.Apply the Pythagorean relationship here the sum of squares of the two sides equals the square of the diagonal.Hence;
ZW²+ WX²=ZX²
b²+a²=ZX²
√b²+a²=ZX
Learn More
Pythagorean relationship : brainly.com/question/11907296
Keyword : rectangle,diagonal length
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The simplified form of the expression, 6x²-23x+15, is (6x - 5)(x - 3)
The simplified form of the expression, x²-9, is (x + 3)(x - 3)
<h3>Factoring an Expression</h3>
From the question, we are to simplify the given expression by factoring
The given expression is
6x² - 23x + 15
Factoring
6x² - 23x + 15
6x² - 18x - 5x + 15
6x(x - 3) -5(x - 3)
(6x - 5)(x - 3)
∴ The simplified form of the expression is (6x - 5)(x - 3)
We are to simplify
x² - 9
By difference of two squares, we have that
a² - b² = (a + b)(a - b)
x² - 9 can be expressed as
x² - 3²
Thus,
Using difference of two squares
x² - 3² = (x + 3)(x - 3)
Hence, the simplified form of the expression is (x + 3)(x - 3)
Learn more on Factoring an expression here: brainly.com/question/22048680
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Answer:
Step-by-step explanation:
Maybe the big numbers make it confusing, so let's look at something simpler. If you start with 5 marbles and every day you add one marble to it how many will you have x days after startign the collection? Well on day 0 it's 5, on day 1 it's 6, because 5+1, on day 2 it's 5+2=7, and so on. You can write this as an equation, y = 5+x, where y is the new total and x is the number of days.
So let's move that thinking to this problem. 1990 is day 0 and you start with 3,500,000. Each year now instead of day you add 38,500. So year 0 has 3,500,000. year 1 has 3,500,000+38,500 = 3,538,500 and so on, where each year we add another 38,500. So just like in the simpler example we can rewrite this. y = 3,500,000 + 38,500x. Linear means that the x is just an x instead of something like x^2, or 1/x or something else. Just normal x.
