Answer:
false statement
Step-by-step explanation:
5+x^2=2x^2+13
5+x^2-2x-13=0
-8+x^2-2x^2=0
-8-x^2=0
-x^2=8
x^2=-8
this statement is false for any value of x because the power function with an even exponent is always postive or 0
Answer: The required probability is 
Step-by-step explanation:
Since we have given that
Number of kids = 10
Number of kids in Team A = 5
Number of kids in Team B = 5
There are three kids in the group, Alex and his two best friends Jose and Carl.
So, number of favourable outcome is given by

Total number of outcomes is given by

So, the probability that Alex ends up on the same team with at least one of his two best friends is given by

Hence, the required probability is 
Answer: D. ( -7, - 2 )
Step-by-step explanation:
Rewrite this in vertex form and use this to find the vertex. ( h, k )
Answer:
Volume of a cube= 1/8 cubic meter
We know that volume of a cube= side x side x side
= 
From here, we get side of cube=
meter
Hence, the side of a cube =
meter
We have to find a fraction, when it is multiplied by itself
x
= 
Here we get our answer 
Answer:
Part A) The graph in the attached figure
Part B) see the explanation
Step-by-step explanation:
Part A) Graph the function
we have the quadratic function

This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
The graph in the attached figure
Part B) What are the values of a, b and c?
we know that
The values of a and b represent the x-intercepts of the quadratic equation
The x-intercepts are
(-2,0) and (6,0)
so

Find the value of c
we know that
The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots
so
The value of c is equal to

substitute the given values

see the attached figure