Can somebody Solve this, please 2^4√4x + 3 + 5 = 11

Below is the graph of a trigonometric function. It intersects its midline at (3.7, 5) and again at (5.9, 5).

Flauer [41]

Answer:

4.4

Step-by-step explanation:

The parent function of this graph is: y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

$\sf f(x)= A \sin(B(x+C))+D$

where:

A = amplitude (height from the mid-line to the peak)
2π/B = period (horizontal distance between consecutive peaks)
C = phase shift (horizontal shift - positive is to the left)
D = vertical shift

The period is the horizontal distance between consecutive peaks, which is the same as twice the horizontal distance between the intersection of the curve and the mid-line.

Given consecutive points of intersection between the curve and the mid-line:

(3.7, 5)
(5.9, 5)

Therefore, the horizontal distance between these two points is:

5.9 - 3.7 = 2.2

⇒ Period = 2.2 × 2 = 4.4

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To create the equation for the function.

From inspection of the given graph:

Amplitude (A) = 6
Mid-line is y = 5
Vertical shift (D) = +5

Period = 2π/B = 4.4 ⇒ B = 5π/11

Phase Shift (C) = -3.7

Substituting the values into the standard form:

$\implies \sf f(x)= 6 \sin\left(\dfrac{5}{11}\pi(x-3.7)\right)+5$

$\implies \sf f(x)= 6 \sin\left(\dfrac{5}{11} \pi x-\dfrac{37}{22}\pi \right)+5$

8 0

2 years ago

Solve 2^3x=172 Use logarithmic please

I am Lyosha [343]

2^3x = 172
3x log 2 = log 172
3x = 7.4263
x = 2.475

i am a mathematics teacher. if anything to ask please pm me

4 0

4 years ago

Which is the equation of the graph

oksano4ka [1.4K]

I'm guessing the last value you have down there that got cut off was the one we want. We need to set up the general form of the absolute value equation and then solve it for a: $y=a[x-h]+k$ . I have no absolute value symbols so I just used brackets. We have a vertex (h, k) of (0, 0) and I picked a point on the graph to use as my x and y coordinates (4, 3). Let's fill in the equation now: $0=a[0-4]+3$ . We will subtract 3 from both sides leaving -3 = a[-4]. The absolute value of -4 is 4 so now we have -3 = 4a. Divide by 4 to solve for a. $a=- \frac{3}{4}$ . So our equation is $y=- \frac{3}{4}[x]$

8 0

3 years ago

Your supervisor asks you to figure out how many sets of bed linens can be washed in an 8 hour shift. Here are the facts you know

Ahat [919]

Answer:eu sunt ndrei ma 12 @ni sis din vaslui

Step-by-step explanation:salut ba

5 0

4 years ago

Arlington ISD needs to construct a handicap ramp for one of its new buildings under construction. One point on the construction

Marat540 [252]

The slope of the handicap ramp is 1/2

The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).

m = (y₂ - y₁)/(x₂ - x₁)

Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).

Substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (5d - 4d)/(3d - d)

m = d/2d

m = 1/2

So, the slope of the handicap ramp is 1/2

Learn more about slope of a line here:

brainly.com/question/1617757

4 0

3 years ago