F(x) = 3x² + 6x - 1
The graph is a parabola open upward (a= 3>0) with a minimum.
Calculate the vertex:
x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:
y = 3x² + 6x - 1
y = 3(-1)² + 6(-1) -1
y= 3 - 6 -1 and y = - 4,
Ten the vertex (minimum) is at (-1,- 4)
Hello!
695 - 7x = 140
-7x = 140 - 695
-7x = -555
-x = -79.29
x = 79.29
I hope this helps you! Have a lovely day!
- Mal
The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base. The general formula for the lateral surface area of a regular pyramid is L . S . A . = 1 2 p l where represents the perimeter of the base and the slant height.
This is a problem of
system of linear equations in two variables. This concept of mathematics is very useful in real-life problems. You can solve a system by finding the solution. A
solution of a system are the values of the variables that satisfies each equation in the system. So by knowing these concepts we can get a system of equation by analyzing each statement step by step, that is:
1. Alice has a total of 12 dimes and nickels.
Let the variables:
1st. Equation:
<span>
2. She has 2 more nickels than dimes
2nd Equation:
Therefore our system of linear equations is:
</span>
Conclusion:<span>Alice has
5 dimes and
7 nickels. </span>