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1 year ago

6x +16 >=51 kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Mathematics

1 answer:

algol131 year ago

4 0

Answer:

5.83333333

Step-by-step explanation:

6x + 16 = 51 (If that is what you actually intended to put)

6x + 16 - 16 = 51 -16

6x/6 = 35/6

x=5.83333333

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Need help on these !! 13 and 14! Please!!

katen-ka-za [31]

Question # 13

Answer:

The required equation for the given function is y = 4sin(x/2+2π/3) -2 , as shown attached graph diagram.

Step-by-step explanation: 

As the general sine function is given by

$y=asin(bx+c)+d$ .......[A]

amplitude = a
period = 2π ÷ b
Phase shift = -c ÷ b
Vertical shift = d

As in the question,

amplitude = a = 4
period = 4π
phase shift = -4π/3
Vertical shift = d = -2

period = 2π ÷ b

b = 2π/period

b = 2π/4π ∵ period = 4π

b = 1/2

Also

Phase shift = -c/b

-4π/3 = -c/b ∵ phase shift = -4π/3

4π/3 = c/b

c = b × 4π/3

c = 1/2 × 4π/3

c = 4π/6

c = 2π/3

So, putting Amplitude ⇒ a = 4, Vertical shift ⇒ d = -2, b = 1/2 ,

and c = 2π/3 in Equation [A] would bring us the required equation for the given function.

$y=asin(bx+c)+d$

y = 4sin(x/2+2π/3)+(-2)

y = 4sin(x/2+2π/3) -2

Note: The graph is also shown in attached diagram.

Question # 14

Answer:

The required equation for the given function is y = cot(x+π/3)+2, as shown in attached graph diagram.

Step-by-step explanation: 

As the general cotangent function is given by

$y=acot(bx+c)+d$ .......[A]

amplitude = a
period = π ÷ b
Phase shift = -c ÷ b
Vertical shift = d

As in the question,

period = π
phase shift = -π/3
Vertical shift = d = 2

period = π ÷ b

b = π/period

b = π/π ∵ period = 4π

b = 1

Also

Phase shift = -c/b

-π/3 = -c/b ∵ phase shift = -π/3

π/3 = c/b

c = b × π/3

c = 1 × π/3

c = π/3

So, putting vertical shift ⇒ d = 2, b = 1 and c = π/3 in Equation [A] would bring us the required equation for the given function.

$y=acot(bx+c)+d$

y = cot(x+π/3)+2

Note: The graph is also shown in attached diagram.

Keywords: amplitude, period , phase shift , vertical shift

Learn more about trigonometric functions of equations from brainly.com/question/2643311

#learnwithBrainly

7 0

3 years ago

Oil spill spreads 25 m² every 1/6 hour how much area does the oil spill cover after two hours

Delvig [45]

1/6 of an hour is 10 minutes because there are 60 minutes in an hour so 60/6=10
so it's 25m^2/10minutes
now just multiply 25 by 12 ( 12 lots of 10 minutes in 2 hours)
25*12=300
answer is 300m^2

hope this helped

6 0

2 years ago

Read 2 more answers

An exponential function is expressed in the form y=axb^x. The relation represents a growth when ________ and a decay when_______

ArbitrLikvidat [17]

Answer:

Growth when: b>1.

Decay when: 0<b<1.

Step-by-step explanation:

Any function in the form $f(x) =a\times b^x$ , where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b.

if 0 < b < 1. It is an example of an exponential decay.

The general shape of an exponential with b > 1 is an example of exponential growth.

Hence,

An exponential function is expressed in the form $y=a\times b^x$ The relation represents a growth when b >1 and a decay when 0<b<1.

4 0

2 years ago

4000 + 12 343 x 2 =(A)

Vikentia [17]

Answer:

12,686

Step-by-step explanation:

add both numbers up then multiply by 2

7 0

2 years ago

Which equation best describes the relationship shown in the table?

Lerok [7]

Answer:

The answer is C. y=2x+3

Step-by-step explanation:

A. y=3x you would pick a coordinate to replace the X and Y value. -1=3(-2) which gives you -1=-6, which wouldn't work.

B. y=x+1 you would pick a coordinate to replace the X and Y value. -1=-2+1 which would give you -1=-1 which would work, but you have to check all of the coordinates to make sure it is the correct one. 3=0+1 which would give you 3=1 so this is not the correct answer.

C. y=2x+3 You would pick a coordinate to replace the X and Y value. -1=2(-2)+3 so then you would simplify that which would give you -1=-1 which would work, but you still need to check to make sure that all of the coordinates work. 3=2(0)+3 which would give you 3=3. 9=2(3)+3 which would give you 9=9. Since this one is able to have three coordinates that can be plugged into it more than likely it is the correct answer, but just to be certain lets see if D will work.

D. y=x+13 you would substitute the coordinates for the x and y values -1=-2+13 which would give you -1=11 which would not be correct.

4 0

3 years ago