Answer:
Here we have the equation:
y = 4*x^2 - 4*x - 1
And we should have the graph (you can see it below this answer)
Now we want to find the solutions of:
4*x^2 - 4*x - 1 = 0
These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.
Then we need to find the two values of x at which our graph intersects the x-axis.
In the graph, we can estimate the solutions as:
x = -0.2
x = 1.2
To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:
Then the two solutions are:
x = (4 + 5.66)/8 = 11.2075
x = (4 - 5.66)/8 = -0.2075
Answer:
8
Step-by-step explanation:
a + b^3 - a
Simplify
b^3
Let b=2
2^3
8
Answer:
The volume of the space outside the pyramid but inside the prism is 225 cubic centimeters.
Step-by-step explanation:
To find this, you subtract the volume of the pyramid from the volume of the rectangular prism.
The prism and pyramid's bases is 25 cm²
The pyramid's height is 12÷2 or 6 cm
The volume formula for a prism is l×w×h
The volume formula for a pyramid is ×b×h
The area of the prism is 5×5×12 or 300 cm³
The area of the pyramid is or 75 cm³
300 cm³-75 cm³=225 cm³
The volume outside the pyramid but inside the prism is 225 cm³.
Answer:
10
Step-by-step explanation:
number of slices = 6 slices
amount each student receives = 3/5 slice per student
number of students
= number of slices / number of slices per student
= 6 ÷ (3/5)
= 6 x (5/3)
= 30/3
= 10 students
We have
For x=4
substitute in <span>the expression
</span>
<span>
therefore
the answer is14</span>