Answer:
log (25 x^5)
Step-by-step explanation:
2 log 5 + 5 log x
We know alog b = log b^a
log 5^2 + log x^5
We know log a + log b = log (a*b)
log ( 5^2 * x^5)
5^2 = 25
log (25 x^5)
Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:

That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17
Answer:
180 gallons
Step-by-step explanation:
200 gal
10% = .10
200 x .10 = 20
200 - 20 = 180
Answer:
In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.
Answer:

Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>

- vertices of hyperbola:(±a,0) and (0,±b) if reversed

<h3>given:</h3>
- vertices: (0,±10)
- the hyperbola equation is inversed since the vertices is (0,±10)
- asymptotes:

<h3>let's solve:</h3>
- the asymptotes are in simplest and we know b is ±10
according to the question

therefore we got
note: the equation will be inversed
let's create the equation:
