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3 years ago

Evaluate the step function for the given input values. g(x) = g(2) = g(–2) = g(5) =

Mathematics

1 answer:

romanna [79]3 years ago

4 0

Answer:

Step-by-step explanation:

g(2) = g(–2) = g(5) is never true for the step function. One " = " symbol per pair of g values, please.

The step function, which you're calling "g(x)," is 0 from -infinity up to but not including 0. It's 1 from x just greater than 0 through infinity.

Thus:

g(2) = 1 because x is greater than 0.

g(-2) = 0 because x is less than 0.

g(5) = 1 because x is greater than 0.

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Solve for x: 4(x+5)=3(x-2)-2(x+2)

Zina [86]

Answer:

x = -10

Step-by-step explanation:

Solve the equation by simplifying according to PEMDAS. Then use inverse operations to solve.

4(x+5) = 3(x-2) -2(x+2)

4x + 20 = 3x - 6 - 2x - 4

4x + 20 = x - 10

3x = -30

x = -10

7 0

3 years ago

NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi

natali 33 [55]

Answer:

a. $\frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100$

b. $\frac{dR(q)}{dq}=-0.01q+200$

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

$\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100$

b) The income function is given by the relation $R (q) = P (q) q = -0.005q^2 + 200q$ .

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

$\frac{dR(q)}{dq}= -0.01q+200$

(c) The profit function of the company is given by the relation $U (q) = R (q) - C (q)$ , and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

$\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100$

When q = 2000, the marginal utility is:

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

When q = 7000, the marginal utility is:

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

6 0

3 years ago

Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la t

s344n2d4d5 [400]

Answer:

Sabemos que:

L es el largo de la avenida.

En la primer etapa se asfalto la mitad, L/2, entonces lo que queda por asfaltar es:

L - L/2 = L/2.

En la segunda etapa se asfalto la quinta parte, L/5, entonces lo que queda por asfaltar es:

L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L

En la tercer etapa se asfalto la cuarta parte del total, L/4, entonces lo que queda por asfaltar es:

(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L

Y sabemos que este ultimo pedazo que queda por asfaltar es de 200m:

(2/40)*L = 200m

L = 200m*(40/2) = 4,000m

7 0

3 years ago

Hi please help i’ll give brain

NARA [144]

Answer:

The GCF is going to be 20

Step-by-step explanation:

This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 20, 2 × 2 × 5= 20

The prime factorization of 80, 2 × 2 × 2 × 2 × 5 = 80

The common factors are 2, 2, and 5. We multiply those to get the GCF.

2 × 2 × 5 = 20

7 0

3 years ago

Read 2 more answers

In what ways was the introduction of imaginary numbers similar to the introduction of negative numbers and the introduction of i

raketka [301]

The introduction of imaginary numbers similar to the introduction of negative numbers through the determination of square root of a negative number.

<h3>Imaginary numbers </h3>

Complex numbers are square root of a negative number. Since a square root of a negative number cannot be determined, it is always represented with "i"

Given the rational number √-4 for instance, this will result in complex number or imaginary number since it is a negative number.

Learn more on imaginary number here: brainly.com/question/10662770

7 0

2 years ago