Answer:
Positive Slope
Step-by-step explanation:
The slope is going up Right
Since it takes 9 metres to make 24 bows, we know that it takes 9 divided by 24 metres to make a bow. That leaves us with the fraction 3/8,
We take that and multiply by the number of bows to create, which is 16,
that gives us an answer of 6m,
OPTION C,
Hope this helps ;)
Answer:
23
Step-by-step explanation:
23
You need to split the shape into simpler shapes so you would get a rectangular prism and a triangular prism finding the volume is pretty straightforward the formula is
Volume of a triangular prism = area of base triangle × height
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W.
After solving for this you would just have to add the 2 shapes volume together tie get the volume of the composite figure
Finding the surface area is also pretty simple since it would only require you to know the formulas
S = 2(lw + lh + wh) to find the surface area of a rectangle or prism
A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
And by adding the two surface areas of the shapes you can get the surface area of the composite figure but remember to subtract the top face of the rectangular prism and the bottom face of the triangular prism
Hope this helps <3
Answer:
B. x < -4 and x > 3
Step-by-step explanation:
Factor and set = to 0
= 0
x = - 4 or x = 3 I call these critical values
The two numbers would divide a number line into 3 intervals. Pick a value in one of the intervals and put it in the original expression. If it makes the function positive, then all the values in that interval make the function positive. If the value you picked makes the function negative, then the values in the other intervals will make the function negative. Let's pick the value of 0 and substitute it into the function
We get 
+ 0 - 12 = -12 which is not positive. Therefore, all the values between -4 and 3 will make the function negative. So, the values less than -4 or greater than 3 will make the function positive. Therefore, B is the correct answer.
Another way to do this problem is to graph the function and see where the graph is above the x-axis. But, sometimes it is not easy to graph the function.
