$\bf 3^{4x}=27^{x-3}\implies 3^{4x}=(3^3)^{x-3}\stackrel{~\hfill \textit{same base, the exponents must also be the same}}{\implies 3^{4x}=3^{3(x-3)}\implies 3^{4x}=3^{3x-9}\qquad } \\\\\\ 4x=3x-9\implies x=-9$

5 0

3 years ago

Dawn earns $16,500 per year. She pays 9.5% of her gross income in state and local taxes. How much is withheld from each paycheck

Scrat [10]

Divide $16,500 by 26 to get gross amount per paycheck. Multiply that by .095 to get amount withheld.

7 0

3 years ago

What are the leading coefficient and degree of the polynomial? 3u+12u'-7u* +1

xxTIMURxx [149]

Answer:

See explanation

Step-by-step explanation:

Assuming the given polynomial is

$3u + 12 {u}^{2} - 7 {u}^{3} + 1$

We then rewrite in decreasing powers of u, to get:

$- 7 {u}^{3} + 12 {u}^{2} + 3u + 1$

The leading term is

$- 7 {u}^{3}$

The leading coefficient is the coefficient of the leading term.

The leading coefficient is -7.

6 0

3 years ago

Round 905154 to the nearest ten thousand

beks73 [17]

905,154 rounded to the nearest ten thousand is 910,000. This is because the 5 in the thousands place is equal to 5, and when the number is 5 or more, you round up. That’s why when you round that number to the nearest ten thousand, it is 910,000.

8 0

3 years ago