Y+7=9/10(x+9) in standard form

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2

Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

The value of x, in this case the value of current c in amperes, can be calculated with the formula $c=\frac{-b}{2*a}$ . In this case: $c=\frac{-120}{2*(-12)}$ So c= 5 amperes. The current is 5 amperes.
The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

<u><em>The maximum power generated by the circuit is 300 watts.</em></u>

7 0

3 years ago

Which answer best describes the complex zeros of the polynomial function?

dedylja [7]

The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

6 0

3 years ago

Estimate the minimum number of subintervals to approximate the value of Integral from negative 3 to 3 (2 x squared plus 9 )dx wi

vichka [17]

Answer:

The value of n for (a) n=425. (b) n=0.

Step-by-step explanation:

Given integration is,

$\int_{-3}^{3}f(x)=\int_{-3}^{3}(2x^2+9)dx$

(a) For Trapezoidal Rule : Composite error is,

$E_T=-\frac{(b-a)^3}{12n^2}f''(x_m)$

Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,

$|E_T|\leq | \frac{(b-a)^3}{12n^2}f''(x)|$ |

$\leq \frac{4(-3-3)^3}{12n^2}$

$=\frac{72}{n^2}$

According to the question, we must choose n such that,

$\frac{72}{n^2}$

$\implies n>424.2640686$

So we can take n=425.

(b) For Simpson 1/3 rule : Composite error is,

$E_S=-\frac{(b-a)^5}{180n^4}f^{(iv)}(x_m)$

where, $f^{(x_m)}=\textit{greatest value of} |f^{(iv)}(x)|$

In this problem $f^{(iv)}(x)=0$ , so that,

$|E_S|\leq 0$

that is there exist no error. So n=0.

6 0

2 years ago

If a=8 and b=3, evaluate the following expression:2a+3b

hjlf

Answer:

25

Step-by-step explanation:

okay, so we plug our numbers into the equation:

2a+3b = 2x8+3x3

2x8 = 16

3x3=9

16+9 = 25

7 0

3 years ago

Read 2 more answers

Angel uses 1/8 cup of sugar for 1/3 of a recipe. How much sugar is needed if Angel makes the entire recipe twice?

umka2103 [35]

Answer:

3/4 cups of sugar

Step-by-step explanation:

So we know that 1/8 cup of sugar is for 1/3 OF a recipe.

So if we want the full recipe we jsut have to multiply 1/8 by 3 since its only worth 1/3 of the recipe.

You’ll get 3/8 cups of sugar for a whole recipe. The question asks for 2 full recipes and since we already know it takes 3/8 cups for one we can multiply that by 2 to find the amount of sugar needed for 2 full recipes.

You’d get 6/8 cups of sugar.

Simplified: 3/4

8 0

2 years ago