The rules of exponents tell you to add exponents in the numerator and subtract those in the denominator. A power of a power causes the exponent to be multiplied.
Answer:
No solution for the given algebraic expression.
Step-by-step explanation:
To solve the algebraic equation we must isolating the variable or rewriting the equation so that the one expression is only the variable with the coefficient 1.
Solve: 
Now put every terms that contains variables on one side of the equation and those terms on the other side which does not contains the variable.
Combine like terms:
which is not true.
therefore, the given expression have NO SOLUTION.
Answer: Your answer should be: −5>−7 Hope this helps :^)
−5>−7
−5<−7
−5≤−7
−5=−7
−5≥−7
If you go to the K12 online school, This should be your answer for; QUIZ:
Solve Inequalities by Substitution
Which inequality is a true statement?
Still hope this helps and works out!!
Answer:
There are 35 dogs in the pet home.
Step-by-step explanation:
3:5 is the ratio, 3 being cats and 5 being dogs
Since there are 21 cats, you would do 21/3 to find the ratio value - which is 7
Now, multiply 5 times 7 to get the amount of dogs, which is 35.
Answer:
Piecewise functions are those where the behavior of the functions is dependent on the value of x.
For example the absolute value function f(x) = |x| is the same as
f(x) = -x , x<0
= x, 0<=x
To evaluate the value of f(x) = |x|, first determine if x is less than 0, equal to 0 or greater than 0. If x is less than 0, the value of |x| is equal to the negative value of x. In all other cases it is equal to the value of x.
This is the simplest piecewise function. There are other more complex functions where the function can take on more than 2 different behaviors based on the value of x.
Piecewise functions can also be identified from their graph. These have breaks in their graph, and each segment has a different behavior that is dependent on the value of x.
The evaluation of piecewise functions is done in the following way.
- First, look at x and determine from the available behaviors which one would be followed for that particular value of x.
- Next, we substitute x in that sub-function and determine the value obtained.
This complexity of this process varies with the piecewise function being evaluated. There are many functions which have a graph of infinite pieces.
A piecewise function is a function made up of different parts. More specifically, it’s a function defined over two or more intervals rather than with one simple equation over the domain. It may or may not be a continuous function.
