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2 years ago

Find the slope and y-internet.

Mathematics

1 answer:

algol [13]2 years ago

6 0

-2/1 is the slope
-5 is the y intercept

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The graph of a sinusoidal function has a minimum point at (0, - 10) and then has a maximum point at (2, - 4) Write the formula o

AleksAgata [21]

Answer: $\bold{y=3sin\bigg(\dfrac{\pi}{2}x-\dfrac{\pi}{2}\bigg)-7}$

<u>Step-by-step explanation:</u>

Minimum: (0, -10)

Maximum: (2, -4)

y = A sin (Bx - C) + D

Amplitude (A) = (Max - Min)/2
Period = 2π/B → B = 2π/Period
Phase Shift = C/B → C = B × Phase Shift
Midline (D) = (Max + Min)/2

$A=\dfrac{-4-(-10)}{2}\quad =\dfrac{-4+10}{2}\quad =\dfrac{6}{2}\quad =\large\boxed{3}$

$\text{x-value of Max minus x-value of Min}= \dfrac{1}{2}\text{Period}\\\\2 - 0 = \dfrac{1}{2}P\quad \rightarrow \quad P=4\\\\\\B=\dfrac{2\pi}{P}\quad =\dfrac{2\pi}{4}\quad =\large\boxed{\dfrac{\pi}{2}}\\$

$D = \dfrac{\text{Max + Min}}{2}\quad = \dfrac{-4+(-10)}{2}\quad =\dfrac{-14}{2}\quad =\large\boxed{-7}$

Sin usually starts at (0, 0). For this graph, the midline touches 0 when x = 1 so the Phase Shift = 1.

$C = B \times \text{Phase Shift}\quad = \dfrac{\pi}{2}\times 1\quad =\large\boxed{\dfrac{\pi}{2}}$

$A=3, \quad B=\dfrac{\pi}{2}, \quad C=\dfrac{\pi}{2},\quad D=-7\\\\\rightarrow \quad \large\boxed{y=3\sin \bigg(\dfrac{\pi}{2}x-\dfrac{\pi}{2}\bigg)-7}$

3 0

2 years ago

please help! i had to retake this and i apparently got. few wrong and i don’t what i did so i have a couple questions that might

lutik1710 [3]

Answer:A=A

b=A

C=B

Step-by-step explanation:

5 0

3 years ago

Ken is thinking of a number. Nine more than the product of 4 & the number is 73. Find Ken's number.

motikmotik

Answer:

x = 16

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

4x + 9 = 73

4x = 73 - 9

4x = 64

x = 64/4

x = 16

Therefore, the unknown number is 16.

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2 years ago

Who are from gondia

iVinArrow [24]

Answer:

Gondia is a city and municipal council in the Indian state of Maharashtra which serves the administrative headquarters of the eponymous administrative district. Gondia is also known as Rice City due to the abundance of rice mills in the area.”

Found this online :)

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2 years ago

Um can someone Please help me I really need help with this

laila [671]

B I literally JUST answered it lol

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2 years ago

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