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2 years ago

11

If X = -6 and Y = 10 then find |x|-|3y|/|xy|

1 answer:

jek_recluse [69]2 years ago

6 0

Answer:

(2)

Step-by-step explanation:

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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

According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million

ss7ja [257]

Answer:

$P_D=61.1*10^{-4}$

$R_r=480$

Step-by-step explanation:

From the question we are told that

Homicide rate in US $R_U=62.4\ per\ one\ million$

Homicide rate in Britain $R_B=1.3\ per\ one\ million$

Generally the equation for probability of homicide is mathematically given as

$P=\frac{R}{10^6}$

Generally the equation for probability of homicide in US is mathematically given as

$P_U=\frac{62.4}{10^6}$

$P_U=62.4*10^{-4}$

Generally the equation for probability of homicide in Britain is mathematically given as

$P_B=\frac{1.3}{10^6}$

$P_B=1.3*10^{-5}$

a)Generally the difference b/w the probabilities P_D is mathematically given as

$P_D=P_U-P_B$

$P_D=62.4*10^{-4}-1.3*10^{-5}$

$P_D=61.1*10^{-4}$

Therefore US annual homicide is $P_D=61.1*10^{-4}$ greater than Britain's

b)Generally the Relative risk is R_r is mathematically given as

$R_r=\frac{P_U}{P_B}$

$R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}$

$R_r=480$

3 0

3 years ago

What is the solution set for 5x – 1 < 7x - 47

Juliette [100K]

Answer:

x > 23

Step-by-step explanation:

5x – 1 < 7x - 47

Add 1 to -47, you get -46.

5x < 7x - 46

Subtract 7x from 5x.

-2x < -46

Multiply both sides to reverse the inequality.

2x > 46

Divide both sides by 2.

x > 23

6 0

3 years ago

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Vladimir79 [104]

Understand the problem
Gather your resources
Come to an answering
Check your answer and present the solution

3 0

3 years ago

Read 2 more answers

In a school of 500 students, 160 have blue eyes, 320 have brown eyes and 20 have green eyes. In a class of 25 students how many

Bas_tet [7]

160/500= 80/250 16/50 8/25

Around 32 percent

6 0

3 years ago