Which value for x satisfies the equation 3x−6=15?

The features of the sine function in this problem are given as follows:

Amplitude: 2.

Midline: y = -4.

Period: 3 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, we have,

The equation is given as follows:

y = 2sin(2πx/3) - 4.

we have to define the sine function:

The standard definition of the sine function is given as follows:

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

For which the parameters are given as follows:

A: amplitude.

B: the period is 2π/B.

C: phase shift.

D: vertical shift.

The function has a minimum value of -6 and a maximum value of -2, for a difference of 4, hence the amplitude is given as follows:

2A = 4.

A = 2.

Without vertical shift, a function with amplitude of 2 would oscillate between -2 and 2, while this one oscillates between -6 and -2, hence the vertical shift is given as follows:

D = -4.

The shortest distance between repetitions can be given by 2 - (-1) = 3, hence the period is of 3 units and the coefficient B is given as follows:

2π/B = 3

B = 2π/3.

The function is at it's midline at the origin, hence it has no phase shift, and thus the equation is given as follows:

y = 2sin(2πx/3) - 4.

More can be learned about trigonometric functions at brainly.com/question/21558626

#SPJ2

Answer:

hiiiiiiiiiíiiiiiiiiiii

Answer:

a is about 13.2

Step-by-step explanation:

the formula for this type equation is a²+b²=c²

plug in the numbers to make the equation a²+9²=16²

do the multiplication and it gives u a²+81=256

subtract 81 from both sides and a²=175

take the square root of both sides and it gives u 13.22

Using the t-distribution, it is found that the p-value is of 0.177.

At the null hypothesis, it is tested that for a smartphone carrier's data speeds at airports, the mean is 19 Mbps, that is:

[tex]H_0: \mu = 19[/tex]

At the alternative hypothesis, it is tested if the mean is different than 19 Mbps, that is:

[tex]H_1: \mu \neq 19[/tex]

Inputting this information into a calculator, the p-value is of 0.177.

A similar problem is given at https://brainly.com/question/13873630

[tex]-5x+10>-15\\\\\implies -5x> -10 -15\\\\\implies -5x > -25\\\\\implies x< 5\\\\\text{Interval,} ~(-\infty,5)[/tex]

Answer:

add the options, then we'll talk

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

18x + 15 -8x = 8x + 45 -8x

10x + 15 = 45

10x + 15 - 15 = 45 - 15

10x = 30

10x/10 = 30/10

× = 3

Answer:

Step-by-step explanation:

Answer:

x = 2

y = 7

I aced this lesson in 6th grade.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

Answer:

Step-by-step explanation:

All 4 sides are equal. (They are marked that way).

8x = 5x + 6                   Subtract 5x from both sides

8x - 5x = 5x - 5x + 6    Combine

3x = 6                           Divide by 3

3x/3 = 6/3                    

x = 2

Consecutive angles of  a rhombus are supplementary

97  + 12y - 1 = 180         Combine

96 + 12y = 180              Subtract 86 from both sides

12y = 180 - 96

12y = 84                        Divide by 12

y = 84/12

y = 7

Answer:

It would be the second set of numbers.

Step-by-step explanation:

Answer:

D. Domain: 2 > -11

Range: All real numbers

Step-by-step explanation:

Correct me if I’m wrong UwU

Answer:

Domain: All real numbers

Range: f(x) ≥ - 11

Step-by-step explanation:

Given the quadratic function in vertex form, f(x) = ½(x + 4)² - 11:

The vertex, (h, k) is (-4, -11).

The parabola opens upward (where a = ½, which is greater than 0), and k = -11 is the minimum value for f(x).  Hence, the range of the given function must be at least -11, or f(x) ≥ -11.  

There is no restriction for the value of x. Therefore, the domain of the given function is all real numbers.

Answer:

wdym

Step-by-step explanation:

Answer:

[tex]-\frac{5}{8}\\-9.2%\\\\-0.001[/tex]

-3/4, -5/8, -9.2%, -0.001, 4.6%, 5%, 33%

Step-by-step explanation:

[tex]-\frac{3}{4}=-75[/tex]%                                     4.6%

Let's do the process of elimination to find our answers

[tex]-\frac{5}{8}=-62.5[/tex]% this would be in between because - 62.5% would be after -75%

[tex]\frac{5}{100}=5[/tex]% this fraction equals to a positive percentage which would be after 4 so not this one

[tex]-0.001 = -0.1[/tex]% this number would come after -75%, -62.5%, -9.2%and before 4.6% so this would be one

[tex]-0.75= -75[/tex]% we already have the percentage so not this one

33% this number would come after 4.6% so not this one

-9.2% this would be between them because its -9 and it will be after -75% and -62.5%

Answer: Comparing a whole numbers and a decimals:

First let’s talk about the similarities of comparing whole numbers and decimals:

=> their place value always matters.

Now, let’s proceed to their differences

=> in comparing whole numbers, we don’t care about the value to the nearest decimal points or the value of ones. We always look at the highest value, not unless the highest values are all the same.

=> In comparing decimals, the value to the nearest decimal points or the tenths place value always matters.

Step-by-step explanation:

Answer: 16,200,000

Step-by-step explanation: divide both numbers

The future value of her deposit would be in 5 years.

The total amount needed to start a cupcake cafe venture

= $9,000

Deposit per year = $1,800

Therefore, if $1,800 = 1 year

$9,000 = X

[tex]x = \frac{9000}{1800} [/tex]

[tex]x = 5[/tex]

Therefore in 5 years, Jamie Lee would be able to start her cupcake café venture.

Learn more about savings here:

https://brainly.com/question/25787382

Answer:

6 candies

Step-by-step explanation:

(find unit rate, cost / quantity)

35/10 = 3.5

20/3.5 = = 5.7142857142857

candies cannot be in decimal so you must round to the nearest whole

Answer:

Step-by-step explanation:

Add all together:

15.73miles + 3.6miles + 8.01miles = ...

= 19.33miles + 8.01miles

= 27.34miles

9514 1404 393

Answer:

  B = 5

Step-by-step explanation:

The given equation has mismatched parentheses. We assume the intent is ...

  2(b +3.5) -b = -3(6 -2b)

Eliminating parentheses, we have ...

  2b +7 -b = -18 +6b

  25 = 5b . . . . . . . . . . . add 18-b to both sides and collect terms

  b = 5 . . . . . . . . . . . . divide both sides by 5

Explanation:

What we need to do here is to take the ratio of the distances of the planets to determine how much farther Neptune is from the sun compared to Mercury:

[tex]\dfrac{D_N}{D_M} = \dfrac{4.503×10^9\:\text{km}}{5.791×10^7\:\text{km}} = 7.776×10^1[/tex]

This means that Neptune is 77.76 times farther from the sun than Mercury is.

Answer:

Step-by-step explanation:

1,7 are same side exterior

1,8 alternate exterior

2,4 none

3,5 same side int

2,6 corrosponding

4,6 same side int

4,7 is none

5,4 alternate int

8,5 vertical

8,7 alternate exterior

9514 1404 393

Answer:

  a.  h(t) = -20t +400

  b.  θ(t) = arctan(2 -2/15t); dθ/dt = -30/(1125 -120t +4t^2)

  c.  15 seconds; 100 ft

Step-by-step explanation:

a. The initial height of the elevator is 400 ft. The rate of change of height is -20 ft/s, so the height equation can be ...

  h(t) = -20t +400

__

b. The tangent of the angle above the line of sight is "opposite"/"adjacent":

  tan(θ) = (h(t) -100)/(150) = -2/15t +2

  θ(t) = arctan(2 -2/15t) . . . . radians

The derivative of the angle function is ...

  dθ/dt = 1/(1+(2 -2/15t)^2)(-2/15)

  dθ/dt = -30/(1125 -120t +4t^2)

__

c. The value of dθ/dt will have a peak where the denominator has a minimum, at t = -(-120)/2(4)) = 15. (The quadratic vertex coordinate is t=-b/(2a).)

The elevator appears to be moving fastest at t=15 seconds.

The height at that time is ...

  h(15) = 400 -20(15) = 100

The elevator appears to be moving fastest when it is at eye level, 100 ft above the ground.

Answer:

16: 5

17: 6 4/9

Step-by-step explanation:

I only will give u the answer for a few questions

Answer:

(9/10 mile)/(5/3 hour) = 27/50 miles/hour

Step-by-step explanation:

If you are looking for the speed, then speed = distance/time

speed = (9/10 mile)/(5/3 hour)

speed = 9/10 ÷ 5/3 miles/hour

speed = 9/10 × 3/5 miles/hour

speed = 27/50 miles/hour

Answer:

1. 9/10/3/5

2. 3/2

Step-by-step explanation:

Got it correct on iReady.

Answer:

9 cherry, 6 blueberry

Step-by-step explanation:

lets do a table!

cherry | blueberry

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

   3             2

   6             4

   9             6

When there are 2 blueberry, there are 3 cherry. 3 is 1 more than 2. When there are 4 blueberry, there are 6 cherry. 6 is 2 more than 4. When there are 6 blueberry, there aare 9 cherry. 9 is 3 more than 6.

Answer:

343

Step-by-step explanation:

[tex]7^{3} = 7 * 7 * 7[/tex]

[tex]7^3 = 343[/tex]

-Chetan K

Answer:

Step-by-step explanation:  If you roll the die twice, the probability of getting a even number both times is (1/2)(1/2) ... A probability experiment consists of rolling a 6 sided die

Answer:

16

Step-by-step explanation:

16 grams

Answer:

Factors are often given as pairs of numbers, which multiply together to give the original number. These are called factor pairs. A square number will have one factor pair consisting of one factor multiplied by itself. This factor is called the square root of the given number.

Step-by-step explanation:

geometric sequence means every new term is created by multiplying the previous term by a certain constant (here 1/3).

s1 = 5

s2 = s1 × 1/3 = 5 × 1/3

s3 = s2 × 1/3 = s1 × 1/3 × 1/3 = 5 × 1/9

sn = sn-1 × 1/3 = s1 × (1/3)^(n-1) = 5 × (1/3)^(n-1)

s6 = 5 × (1/3)⁵ = 5 × 1/243 = 5/243