The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a. the profit when the unit price is equal to 0b. the unit price(s) when the profit is equal to 0c. the profit when the unit price is greatestd. the unit price(s) when profit is greatest
(3x + 6)(3x + 6)
9x² + 18x + 18x + 36
Add like terms.
9x² + (18x + 18x) + 36
9x² + 36x + 36
~Hope I helped!~
2x^3 + 2x^2 - 10x
Order of operations is the system which defines how to simplify an expression. It states PEMDAS or parenthesis, exponents, multiplication, division, addition and subtraction, though some operations are related as such like MD and AS and can be done in any order left to right.Using this order, simplify inside the parenthesis first.
2x (x*x + x - 5)
2x (x^2 + x -5)
Now, multiply into the parenthesis using the distributive property. Multiply each term by 2x.
2x^3 + 2x^2 - 10x
hello and welcome!
so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.
looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!
[tex]4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2[/tex]
also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:
since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.