By looking at the graph, it seems Equation A and Equation C both intersect at (0, 8). So the first answer is correct.
Answer: -6
Explanation: In this problem, we're given the function f(x) = 3x - 12 and we're asked to find f(2).
To find f(2) or the value of the function when <em>x </em>equals 0, we simply substitute 2 in for <em>x</em> in our function. So we have f(x) = 3(2) - 12 or 6 - 12 which equals -6.
So f(2) or the value of the function when <em>x </em>equals 2 is -6.
-6 and 4.5
So to do this you’ll make an equation x will represent the number so 4x^2+6x=108 so we want the equation to equal 0 so we can solve it to do that you have to subtract 108 from both sides so it ends up being 4x^2+6x-108=0 we want to isolate the x onto one side and division property allows us to divide both sides by 2 the reason it’s two is because 2 is the biggest divisible number that every number in the equation is divisible by so once you divide every number by two you get 2x^2+3x-54=0 now you have to factor cause but since you only have 3x and nothing else to factor with you have to write 3x as a difference so you could do 2x^2+12x-9x-54=0 so you are complicating the problem so you can factor out 2x from the expression so 2x(x+6)- 9(x+6)=0 the 54 got factored because it’s divisible by 9 that 6 is in replace of the 54 cause if you solved it 9x6 is still 54 next factor out x+6 so (x+6) x (2x-9) =0 so one of the two have to equal 0 so right the equations separately x+6=0 minus 6 from both sides and you’ll get x to equal -6 and 2x-9=0 add 9 to both sides and you’ll get 2x=9 divide both sides by 9 and you’ll get x to equal 4.5 when you plug 4.5 and -6 for x the equation works out
So enter, square root sign, then 3.36 under and it gives you 6.04979….. rounded is:
6.0
Answer:
(2, 3) lies on the line y = 5 - x.
Step-by-step explanation:
Were there only two possible answer choices?
We can determine whether or not a given point, such as (2, 3), is contained in a function such as y = x - 1, by substituting the given coordinates 2 and 3 for x and y respectively; is the resulting equation true or false?
Check out (2, 3) and y = x - 1: 3 = 2 - 1, or 3 = 1. False. (2, 3) does not lie on the line y = x - 1. Does (2, 3) lie on the line y = 5 - x? Is 3 = 5 - 2 true? Yes. So (2, 3) lies on the line y = 5 - x.
Check out (2, 3) and y = 7 - 2x. Is 3 = 7 - 2(1) true? No, it is not true.
