Answer:
one real solution
Step-by-step explanation:
We can use the discriminant to find the types of solutions
b^2 -4ac where ax^2 +bx+c=0
Since
x^2 -8x+16 =0
we know a=1 b=-8 and c=16
(-8)^2 - 4(1)(16)
64 -64 = 0
If the discriminant > 0 we have two real solutions
If the discriminant = 0 we have 1 real solutions
If the discriminant < 0 we have two complex solutions
Since it equals zero, we have one real solution
Answer:
b
Step-by-step explanation:
Answer:
Yes it is an equivalence relation
Explanation:
An equivalence relation is a binary relation between two values that are symmetric, transitive and reflexive. In other words, when we say a value x is equal(using "=") to a value y, there is an equivalence relation between them.
Example, given set {x, y, z} where ~ means equivalence:
x ~ y if y ~ z means symmetric
since x ~ y and y ~ z, then x ~ z means transitive
x ~ x means reflexive
Equivalence relations share a common attribute or attributes(example, a satisfying condition)
The above condition that two states are related from the set of all US states if they have a border in common satisfies the condition of equivalence listed hence it is an equivalence relation.
Answer:
Part 1) The maximum number of pounds of regular coffee that you can buy is 7.5 pounds.
Part 2)
Step-by-step explanation:
Part 1)
Let
x-----> the number of pounds of regular coffee
we know that
The inequality that represent the situation is
Solve for x
Divide by 2 both sides
The maximum number of pounds of regular coffee that you can buy is 7.5 pounds.
The solution of the inequality is the interval ------> (-∞,7.5]
but the number of pounds cannot be a negative number
therefore
The solution is the interval -----> [0,7.5]
see the attached figure
Part 2) we have
Adds m and n
Group terms that contain the same variable
Combine like terms