Answer:
14
Step-by-step explanation:
divide 40 by 4 to get 10 then 10 x 10=100 100 + 100=200
then square root 200 to get 14
Hello there!
4(x + 6) = 5( x + 9) + 4x
We wanna start with the distributive property
(4)(x) + (4)(6) = (5)(x) + (5)(9) + 4x
4x + 24 = 5x + 45 + 4x
4x + 24 = 9x + 45
Subtract 24 on both sides
4x + 24 - 24 = 9x + 45 - 24
4x = 9x + 21
Subtract 9x on both sides
4x - 9x = 9x + 21 - 9x
-5x = 21
Divide both sides by -5
-5x/-5 = 21/-5
x = -21/5
Given:
The function are:
To find:
The function (f-g)(x).
Solution:
We have,
We need find (f-g)(x).
On combining like terms, we get
Therefore, the correct option is B.
Answer:
Solution
p = {-3, 1}
Step-by-step explanation:
Simplifying
p2 + 2p + -3 = 0
Reorder the terms:
-3 + 2p + p2 = 0
Solving
-3 + 2p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-3 + -1p)(1 + -1p) = 0
Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:
Simplifying
-3 + -1p = 0
Solving
-3 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3
Combine like terms: 0 + 3 = 3
-1p = 3
Divide each side by '-1'.
p = -3
Simplifying
p = -3
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:
Simplifying
1 + -1p = 0
Solving
1 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1
Combine like terms: 0 + -1 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
Solution
p = {-3, 1}
The value that occurs most often. If no number is repeated, then there is no mode for the list.
