Answer (numbers needed in boxes, going from top to bottom):
1
-1
-3
3
Step-by-step explanation:
f(x) is another way of saying y. So, the table is asking, "when substituting these x values for the x's in the function, what does y equal?" So, to answer the question, substitute each x value into the equation and solve.
1) Start with the x value of 1. Substitute 1 for x in y = 2x - 1 and solve:
So, when x equals 1, y equals 1. Therefore, the first box on the top must be filled out with the number 1.
2) Do the same with the rest of the x values. Here are the steps to solve each one, going in order from the top towards the bottom:
x = 0
x = -1
x = 2
Answer: -7
Step-by-step explanation:
−7
=−7
First, let's convert X into 4
(3*4 - 4)ft, (4*2 - 1)ft, (2*4*2 - 15)ft
Now lets simplify this a little
(12 - 4)ft, (8 - 1)ft, (16 - 15)ft
Awesome now lets finish up
8 x 9 x 1 / 2 = 36
The answer should be 36ft. Unless I did my math wrong.
Assuming the equation is 3x-2y+4=0 then the equation of the line, solving for y in terms of x, gives y=3/2x+2 the slope of this line is 3/2 then the slope of a line that is perpendicular is -2/3 .An easy way to see this is to draw the line. By definition the slope, m=tan(α) where α is the angle the line makes with the x axis. Let L=slope of the perpendicular line then L=tan(β) but the two lines with the x axis form a right triangle hence α+π-β=π/2 so β=π/2+α and L=tan(β)=tan(π/2+α)=-cot(α) = -1/tan(α)=-1/m.In our problem m=3/2 so L=-2/3.The geometry becomes clear if you make a sketch of the two lines. Hope this helps
The dimensions of the rectangular portion of the window should be 4 by 4.
To maximize area, we make the dimensions as close to congruent as possible. Since there will be 3 sides on the rectangular portion with a frame around them, we divide 12 by 3:
12/3 = 4
This means it should be 4 by 4.
