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Answer:

Formula for g(x) is [tex]g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6[/tex]

Step-by-step explanation:

Given - g is a trigonometric function of the form g(x)=a sin (bx+c)+d.  The function intersects its midline at (-1 , 6) and has a minimum point at (-3.5 , 3)

To find - Find a formula for g (x). Give an exact expression.

Proof -

Given that,

g(x)=a sin (bx+c)+d

We know that, Midline is present in between maximum and minimum

Here given that, minimum is present is 3 and midline is present at 6

So, Maximum occurs at 9.

Now,

We know that,

Standard form of sine function is - g(x) = Asin(B(x-C)) + D

Where

A = Amplitude

and Amplitude = (Maximum - minimum) / 2

                         = (9 - 3)/ 2

                         = 6/2 = 3

⇒A = 3

Now,

Period = [tex]\frac{2\pi }{B}[/tex]

⇒B = (2π) / Period

      = (2π) / 10

      = π/5

⇒B = π/5

Now,

Phase Shift : C = -1 ( i.e. 1 to the left)

Vertical Shift : D = 6

So,

We get

g(x) = Asin(B(x-C)) + D

      = [tex]3 sin(\frac{\pi }{5}(x -(- 1))) + 6[/tex]

⇒[tex]g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6[/tex]

∴ we get

Formula for g(x) is [tex]g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6[/tex]

Answer:

are not  

Step-by-step explanation:

it is clear I can explain in the comment section ... because I don not want you to lose time

Answer:

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Step-by-step explanation:

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View the ans from Web for complete diagram.

Answer:

I hate edge :l

Answer:

Step-by-step-explination

Answer:

B

Step-by-step explanation:

16 times means multiply the expression by 16

Answer:

n= 52

Step-by-step explanation:

n= 28+24

n= 52

Hello

Answer:

n=52

Step-by-step explanation:

n-24=28

n=24+28

n=52

You solve n by adding 24 to both sides to get n by itself which is n= 24+28. After you add 24 and 28 together you get 52. So n=52.

Answer:

.5

Step-by-step explanation:

if you put 400 in an account and for nine months with 0.5 interest rate you would get 418.41 so 0.5 is the answer

Answer:

F=full page  H=half page

40H+75F=800

H+F=13  so H= 13-F  substitute 13-F for H in the first equation.

40(13-F)+75F=800

520-40F +75F=800

35F= 280  so F=280/35=8

8 fullpage and  5 halfpage ads

Step-by-step explanation:

Answer:

C or D

Step-by-step explanation:MRK ME BRAINLIEST PLZZZZZZZZ

Answer:

b=4.67ft

Step-by-step explanation:                                                                                    The steps are in the picture below.

Answer:

5x+7=17

Step-by-step explanation:

5x+7=17

   -7    -7

----------------

5x=10

5      5

x=2

5(2)+7=17

10+7=17

17=17

The two step equations that equal 17 are:

1) 3x + 5 = 17

2) 2y - 8 = 17

The two examples of two-step equations that equal 17:

1) 3x + 5 = 17

To solve this equation, we subtract 5 from both sides:

3x + 5 - 5 = 17 - 5

3x = 12

Finally, we divide both sides by 3:

3x/3 = 12/3

x = 4

So the solution to the equation is x = 4.

2) 2y - 8 = 17

To solve this equation, we add 8 to both sides:

2y - 8 + 8 = 17 + 8

2y = 25

Next, we divide both sides by 2:

2y/2 = 25/2

y = 12.5

So, the solution to the equation is y = 12.5.

Learn more about Equation here:

https://brainly.com/question/29657983

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Answer:

It is 15. Therefore, the coefficient's of the fifth term of binomial expression raised to the power six is 15

Answer:  Y=48

Y is 4 times more than x. If x=12, y=48. Notice in the first part of the question, if you divide 64 by 4, you get 16. This means in order to get your answer, you must mulitiply x by 4 to get y. 12x4=48.

Brainliest please?

                                         XxRoadToAcexX

Answer:

It should be 9ft

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

Answer:

-2.4

Step-by-step explanation:

Step-by-step explanation:

AC is not the hypotenuse. AB is the hypotenuse because its opposite the 90 deg angle

Answer:

11/17

Step-by-step explanation:

Since Donald removed a yellow marble, it is no longer there: There are now 6 yellow marbles and 11 purple ones.  The total number of marbles in the bag is 6+11.

Total marbles: 17

Number of purple marbles: 11

Probability of drawing a purple marble: 11/17

Answer: the mean is 5

Step-by-step explanation:

adding all the numbers together and dividing them by the numbers that were there gives you the mean :0

Answer:

c > 20

Step-by-step explanation:

a number c is MORE THAN 20

* replace MORE THAN with ">" *

c > 20

Note: > and "more than" have the same meaning, > is just expressed as an inequality

Answer:

hope this helps................................u

Step-by-step explanation:

208

Answer:

you will save 7.50 dollars.

Step-by-step explanation:

the sale price will be 42.50 dollars plus tax, if you need to include the tax.

Given:

The equation is:

[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]

To find:

The value of y.

Solution:

We have,

[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]

On cross multiplication, we get

[tex]y(p+q)=y(p-q)[/tex]

[tex]yp+yq=yp-yq[/tex]

[tex]yp+yq-yp+yq=0[/tex]

[tex]2yq=0[/tex]

Dividing both sides by 2q, we get

[tex]\dfrac{2yq}{2q}=\dfrac{0}{2q}[/tex]

[tex]y=0[/tex]

Therefore, the correct option is A.

Answer:

m∠ZWX = 105°

Step-by-step explanation:

Properties of a kite,

1). One diagonal of a kite bisects at least one pair of opposite angles.

2). Diagonals of a kite kite are perpendicular to each other.

In ΔWTZ,

m∠WZT = [tex]\frac{1}{2}(m\angle WZY)[/tex]

              = [tex]\frac{1}{2}(100)[/tex]

              = 50°

m∠WTZ = 90° [By second property]

m∠WZT + m∠WTZ + m∠ZWT = 180°

50° + 90° + m∠ZWT = 180°

m∠ZWT = 180° - 140°

              = 40°

Similarly, in ΔWTX,

[tex]m(\angle WXT)=\frac{1}{2}(m\angle WXY)[/tex]

m(∠WXT) = [tex]\frac{1}{2}(50)[/tex]

                = 25°

m(∠WTX) = 90°

m∠WTX + m∠WXT + m∠TWX = 180°

90° + 25° + m∠TWX = 180°

m∠TWX = 180° - 115°

              = 65°

Since, m∠ZWX = m∠ZWT + m∠TWX

Therefore, m∠ZWX = 40° + 65°

                                 = 105°

Step-by-step explanation:

Shusil got 8.4 sweets.

Step-by-step explanation:

Gordon share=3/3+5+2×42

3/10×42=12.6

June share=5/3+5+2×42

5/10×42=21

Shusil share=2/3+5+2×42

2/10×42=8.4

Answer:

[tex]3(2+7a)=6+[/tex]

[tex]6 + 21a = 6[/tex]

[tex]21a + 6 = 6 + 21a[/tex]

answer is 21a

Answer:

d

Step-by-step explanation:

100pi