Answer: x = -30
Steps: 19 + x/2 = 4
Subtract 19 from both sides: 19 + x/2 - 19 = 4 - 19
Simplify: x/2 = 15
Multiply both sides by two: x/2 (2) = -15 (2)
Simplify: x = -30
Lets quickly run through the prime numbers and see what it is not divisible by
39 is not divisible by 2
39 IS divisible by 3
So lets stop right here.
What is 39 divided by 3? 13 !
And 13 is a prime number too!
So that is all we can do.
So prime factorization of 39 is <u>3 x 13</u><u><em /></u>
Answer:

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
×
+
×
Complete the multiplication and the equation becomes

The two fractions now have like denominators so you can add the numerators.

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 12 using
GCF(14,12) = 2
14÷2 / 12÷2 =7/6
The fraction
7/6
is the same as
7÷6
Convert to a mixed number using
long division for 7 ÷ 6 = 1R1, so
7/6= 
Therefore:
3/4 − (−5/12) = 
Solution by Formulas
Apply the fractions formula for subtraction, to
3/4 − (−5/12)
and solve
(3×12) − (−5×4) 4×12
=3/6− (−20/48)
=56/48
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF( 56,48) = 8
56÷8 / 48÷8 =7/6
Convert to a mixed number using
long division for 7 ÷ 6 = 1R1, so
7/6= 
Therefore:
3/4 − (-5/12) = 
Answer:
110%
Step-by-step explanation:
if each square is a whole, then when one is filled, it's 100% . 10% of the other square is filled so you just add the two.
Answer:
The inner function is
and the outer function is
.
The derivative of the function is
.
Step-by-step explanation:
A composite function can be written as
, where
and
are basic functions.
For the function
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have
inside parentheses. So
is the inner function and the outer function is
.
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function
is the composition,
, of
outside function: 
inside function: 
The derivative of this is computed as

The derivative of the function is
.