Answer:
x = 8
Step-by-step explanation:
log(5x-4)-log(x+1)=log 4
log [ (5x - 4) / (x+ 1) ] = log 4
[ log (a/b) = loga - logb]
(5x - 4 ) / ( x + 1) = 4
(5x - 4) = 4x + 4
5x - 4x = 4 + 4
x = 8
Hope it will help :)❤
Answer:
28.26
Step-by-step explanation:
Given,
Radius of the circle = 3in.
Area = ?
They have told us to use 3.14 for 
Area formula = 
=> 3.14 * 3 * 3
=> 3.14 * 9
=> 28.26
Therefore the area of the circle is 28.26
Hope it helps :)
Answer: D) x+4+x+4
The two x terms combine to x+x = 2x
The other pair of like terms, the constants, add to 4+4 = 8
Overall we get 2x+8
2x+8 is also equivalent to 2(x+4) when you factor out the GCF 2.
Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable
in this polynomial is
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to
. The discriminant of this polynomial is
.
.
Similarly:
.
By the Factor Theorem, if
is a root of a polynomial, then
would be a factor of that polynomial. Note the minus sign between
and
.
- The root
corresponds to the factor
, which simplifies to
. - The root
corresponds to the factor
, which simplifies to
.
Verify that
indeed expands to the original polynomial:
.