X - 5 = x^2
i) 0 - 5 = -5^2 = 25
ii) 4 - 5 = -1^2 = 1
iii) -4 - 5 = -9^2 = 81
Answer:
c. 24 is a solution
Step-by-step explanation:
Given equation:
To test the numbers 22, 23, 24, 25 for the solution.
Solution:
In order to test the given number for the solution, we will plugin each number in the unknown variable 
and see if it satisfies the equation.
1) 
Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.
The above statement can never be true and hence 22 is not a solution.
2) 
The fractions can no further be reduced.
The statement can never be true and hence 23 is not a solution.
3) 
Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.
The above statement is always true and hence 24 is a solution.
4) 
The fractions can no further be reduced.
The statement can never be true and hence 25 is not a solution.
Answer:
the mean is 4
Step-by-step explanation:
add 6+5+6+1+5+5+0=28
then divide 28 by how many numbers there are so it would be 7 numbers
28 divided by 7 equals 4
As you progress in math, it will become increasingly important that you know how to express exponentiation properly.
y = 2x3 – x2 – 4x + 5 should be written <span>y = 2^x3 – x^2 – 4^x + 5. The
" ^ " symbol denotes exponentiation.
I see you're apparently in middle school. Is that so? If so, are you taking calculus already? If so, nice!
Case 1: You do not yet know calculus and have not differentiated or found critical values. Sketch the function </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5). Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?
Case 2: You do know differentiation, critical values and the first derivative test. Differentiate y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:
dy/dx = 6x^2 - 2x - 4 = 0. Reduce this by dividing all terms by 2:
dy/dx = 3x^2 - x - 2 = 0 I used synthetic div. to determine that one root is x = 2/3. Try it yourself. This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1. Again, you should check this.
Now we have 2 roots: -1 and 2/3
Draw a number line. Locate the origin (0,0). Plot the points (-1, 0) and (2/3, 0). This subdivides the number line into 3 subintervals:
(-infinity, -1), (-1, 2/3) and (2/3, infinity).
Choose a test number from each interval and subst. it for x in the derivative formula above. If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.
Ask all the questions you want, if this explanation is not sufficiently clear.
