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Novosadov [1.4K]

3 years ago

5

How many miles is it from honolulu to turtle bay?

1 answer:

slamgirl [31]3 years ago

4 0

I think your talking about Turtle bay resort in that case it's 30 miles

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Determine the quotient, q(x), and remainder, r(x) when

Fed [463]

ANSWER

Quotient:

$q(x) = {x}^{2} - 4x + 7\\$

Remainder:

$r(x) = 11x - 29$

EXPLANATION

The given functions are

$f(x) = 4 {x}^{4} + 12 {x}^{3} + 17 {x}^{2} + 19x + 6$

and

$g(x) = 4 {x}^{2} + 4x + 5$

We want to find the quotient and the remainder when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

$q(x) = {x}^{2} - 4x + 7$

The remainder is

$r(x) = 11x - 29$

5 0

3 years ago

(1/27)^x-6=27<br><br>Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

5 0

3 years ago

Will you help me on both

NeTakaya

Answer:R

Step-by-step explanation:

6 0

3 years ago

What is the average rate of change between f (1) and f (5) in the function f (x) = x2 - x - 6 ?

NISA [10]

Answer:

${ \tt{average = \frac{f(1) + f(5)}{2} }} \\ \\ = { \tt{ \frac{( {1}^{2} - 1 - 6) + ( {5}^{2} - 5 - 6) }{2} }} \\ = \frac{ - 6 + 14}{2} \\ \\ = { \tt{4}}$

5 0

2 years ago

Solve the inequality for y. y + 4x < -3

Olin [163]

Answer:

$\huge \boxed{y$

Step-by-step explanation:

$y + 4x < -3$

Subtracting 4x from both sides of the inequality.

$y + 4x -4x< -3-4x$

Simplifying the inequality.

$y$

4 0

3 years ago