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vovikov84 [41]
2 years ago
12

Simplify the function f(x) = 7((RootIndex 3 StartRoot 54 EndRoot Superscript x Baseline)). Then answer the questions below. The

initial value for the function is . The simplified base for the function is RootIndex 3 StartRoot 2 EndRoot. The domain of the function is . The range of the function is .
Mathematics
2 answers:
shepuryov [24]2 years ago
7 0

Answer:

7

3

all real numbers

y>0

Step-by-step explanation:

Just got it right on edge. i got you little bro

bulgar [2K]2 years ago
7 0

Answer:

7

3

all real numbers

y>0

Step-by-step explanation:

Guest
1 year ago
how did you get this
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The graph of a sinusoidal function has a maximum point at (0,5)(0,5)left parenthesis, 0, comma, 5, right parenthesis and then ha
Ksivusya [100]

Answer:

sinusoidal functions have the standard form of Asin(Bx - C) + D

Where A is the amplitude, 2pi/B gives us our period, C gives us our horizontal shifts in the opposite direction of the sign (because it's inside the parenthesis), and D gives us our vertical shifts in the same direction as the sign of D (positive or negative).

The easiest part is assigning the amplitude which is 3 as stated in the problem. This means that all of the max/mins of the graph will be multiplied by a factor of 3. However, this could be a positive or negative 3 depending on other info in the problem. We'll come back to this in a second.

We know 2pi/B = 8 in our problem. Solving for B gives us B = pi/4.

Now we need to find the corresponding maximum and minimums for a sin/cos function with a period of 8 by taking x values 0, pi/2, pi, 3pi/2, and 2pi (these are all values where normal sin/cos functions are either at their max/min or zero) and then divide each by pi/4. This will give us our new max/mins for a function with period 8. These values are 0, 2, 4, 6, and 8.

Since 2 is a minimum, then we know that there are no horizontal shifts. So C = o

Now we need to figure out if this is a sin or cos graph. A normal cos graph has a value of 0 at x = pi/2 which corresponds x = 2 in our problem. Your problem says that x = 2 will give us a minimum value so this tells us that our function must be a sin graph, not a cos graph. However, a sin graph has a maximum at 2 (which is pi/2 in a normal sin graph) while your problem calls for a minimum. This means that the amplitude we found earlier of 3 must actually be a -3 (I told you we'd get back to this!). The negative sign flips all of the maximums to minimums and vice versa of the sinusoidal graph.

Ok, let's put together what we know so far. A = -3, B = pi/4, and C = 0. So f(x) = -3sin((pi/4)x) + d

......But what about D?

Well, your problem says that one minimum of the graph is (2,1). In a graph without vertical shifts, we would expect the minimum to be at (2,-3). The difference between -3 and 1 is 4. This means in order to get from -3 to 1 we have to shift upwards of 4 units. In other words, D = 4.

Answer: -3sin((pi/4)x) + 4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The area of a square is stored in a double variable named area. write an expression whose value is length of the diagonal of the
lbvjy [14]

First of all, a bit of theory: since the area of a square is given by

A = s^2

where s is the length of the square. So, if we invert this function we have

s = \sqrt{A}.

Moreover, the diagonal of a square cuts the square in two isosceles right triangles, whose legs are the sides, so the diagonal is the hypothenuse and it can be found by

d = \sqrt{s^2+s^2} = \sqrt{2s^2} = s\sqrt{2}

So, the diagonal is the side length, multiplied by the square root of 2.

With that being said, your function could be something like this:

double diagonalFromArea(double area) {

double side = Math.sqrt(area);

double diagonal = side * Math.sqrt(2);

return diagonal;

}

3 0
2 years ago
Find the semi perimeter of a triangle with sides 9cm 12 cm and 30 cm
alexgriva [62]

Answer:

<h2>25.5 cm</h2>

Step-by-step explanation:

<h3>s =  \frac{a + b + c}{2}</h3>

=  \frac{9 + 12 + 30}{2}cm \\   = \frac{51}{2}cm  \\ 25.5cm

7 0
2 years ago
Aidan is filling a new kiddie pool with water. The pool is the shape of a rectangular prism and is 3/4 foot deep, 6 1/2 feet wid
ss7ja [257]

Answer:292.5 is what i got but i saw somewhere where it say the volume of this pool is 1077.12 gallons of water.

Step-by-step explanation: hope this helps

6 0
2 years ago
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Consider the following system of equations: 10 + y = 5x + x2 5x + y = 1 The first equation is an equation of a . The second equa
aleksley [76]

Answer: The first equation is an equation of a parabola. The second equation is an equation of a line.

Explanation:

The first equation is,

10+y=5x+x^2

In this equation the degree of y is 1 and the degree of x is 2. The degree of both variables are not same. Since the coefficients of y and higher degree of x is positive, therefore it is a graph of an upward parabola.

The second equation is,

5x+y=1

In this equation the degree of x is 1 and the degree of y is 1. The degree of both variables are same. Since both variables have same degree which is 1, therefore it is linear equation and it forms a line.

Therefore, the first equation is an equation of a parabola. The second equation is an equation of a line.

5 0
2 years ago
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