All categories

1 year ago

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

Mathematics

1 answer:

strojnjashka [21]1 year ago

5 0

Answer:

I believe the answer is c

Step-by-step explanation:

You see, in a standard form the term with greater stays at the very right.

You might be interested in

Ocean tides can be modeled by a sinusoidal function. Suppose that there is a low and high tide every 12 hours, and that high tid

USPshnik [31]

Answer:

(a) $y=5sin(\frac{\pi}{6}(x+2))+5$

(b) 7.5ft above the low tide.

Step-by-step explanation:

(a) To find the function that computes the height of the tide, you need to select the form of the sinusoidal function. For example, use the form:

$y=Asin(B(x-C))+D$

Where A is the amplitude, B the frequency, C the phase shift and D the vertical shift.

The amplitude is half the distance between the highest and the lowest tide:

$A=10/2=5ft$

The frequency is related to the period T by:

$B=\frac{2\pi}{T}$

The period is 12 hours, then

$B=\frac{2\pi}{12}=\frac{\pi}{6}$

The high tide is at 1:00 a.m. and 1:00 p.m. , this is the moment when $sin(B(x-C))=1$ , if $sin(\frac{\pi}{2})=1$ then $B(x-C)$ must be equal to $\frac{\pi}{2}$ when $x=1$ :

$B(x-C)=\frac{\pi}{2}\\\frac{\pi}{6}(1-C)=\frac{\pi}{2}\\\frac{1}{6}(1-C)=\frac{1}{2}\\(1-C)=\frac{6}{2}\\-C=3-1\\C=-2$

The vertical shift is the sum of the lowest value, the height of the low tide ( $lt$ ) and the amplitude:

$D=5+lt$

The function is:

$y=5sin(\frac{\pi}{6} (x+2))+5+lt$

Because the function must be the height above low tide height, subtract this heigh from the function:

$y=5sin(\frac{\pi}{6} (x+2))+5+lt-lt$

$y=5sin(\frac{\pi}{6} (x+2))+5$

(b) Use x=11 in the function

$y=5sin(\frac{\pi}{6} (11+2))+5=2.5+5=7.5ft$ above the low tide.

3 0

3 years ago

HELP ASAP ILL MaRk YOu bRAINlIStEr

sladkih [1.3K]

Answer:u need to x out some of them tabs

8 0

3 years ago

A^2-b^2 a^2b-ab^2<br>-------------- ÷ ---------------a^2b+ab^2 a^2b- ab^2

Damm [24]

Answer:

$\huge{= \frac{ {a}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} }}$

Step-by-step explanation:

$\huge{ \frac{ {a}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} } \div \frac{ {a}^{2b} - {ab}^{2} }{ {a}^{2b} - {ab}^{2} }}$

$\huge{\frac{ {x}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} } \div 1}$

$\huge{\boxed{\green{= \frac{ {a}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} }}}}$

5 0

3 years ago

What is the conjugate of (x2-6)?

Mama L [17]

Answer:

2(x - 3)

Step-by-step explanation:

3 0

3 years ago

Find the common difference for the following sequence and fill in the missing terms. Show all calculations. -12, __, 10, __, 32,

ahrayia [7]

Step-by-step explanation:

-12 + 11 = -1

-1 + 11 = 10

10 + 11 = 21

21 + 11 = 32

32 + 11 = 43

6 0

3 years ago

Read 2 more answers