1) 2 points:
We need to come up with a function that intersects the graph at two points, meaning has two (x,y) in common with the function. If you look at the graph of y=x^2, you see that it would be quite easy to draw a line that intersects the graph twice. In fact, there are an infinite number of functions that would satisfy this.
One easy function is y=2. This is a horizontal line in which y=2 for all values of x. In the graph y=x^2, y=2 intersects twice.
2=x^2
x^2= √2 or -√2
the shared points are (√2,2) and (-√2,2)
b) one point:
Here, we want to find an equation with only one (x,y) in common with y=x². This is a bit trickier.
One easy solution is y=-x²
Looking at a graph of the two functions, you see that y=-x² is a reflection across the x-axis of y= x². The two functions have only one point in common: (0,0).
c) no point in common
Take another look at the graph of y=x². You see that the function never crosses the x-axis. A simple function that will never intersect the graph is y=-2. Since y is negative for all values of x, it is guaranteed to never intersect y=x², a function in which y is positive for all negative or positive values of x.
x=6 , must combine like terms (4x + 2x) which gives you 6x and then subtract 41- which is 36 . 6 divided by 36 is 6
Don’t believe the link cuz it’s lying
Answer:
287 in²
Step-by-step explanation:
The figure given is a combination of a cube and a rectangular prism. The formula for the volume of a rectangular prism is:
SA = 2(ab) + 2(ac) + 2(bc), where 'a', 'b' and 'c' are the measures of the prism.
The formula for the volume of a cube is:
SA = 6s², where 's' is the measure of the side of a cube
Prism: SA = 2(3*3) + 2(3*12) + 2(3*12) = 18 + 72 + 72 = 162 in²
Cube: SA = 6(5)² = 150 in²
Since the prism is stacked on top of one of the sides of the cube, you can subtract one of the sides since it is overlapping:
150 - 25 = 125 in²
total surface area: 125 + 162 = 287 in²
