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3 years ago

8. ¿Cuál es la media de las calificaciones de los alumnos de quin-

1 answer:

8 0

La media se encuentra sumando todos los números 9+9+6+8+7+9+7+6+8+9+8+6+7 (te daría 99) y después divides el 99 entre la cantidad de números (son 13). Entonces divides 99/13 y te la 7.61.

La media de los alumnos de quinto grado es c) 7.61

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Which of these values for p and a will cause the function f(x)=Pax to be an exponential growth function

vovikov84 [41]

The option are missing in the question. The options are :

A. P = 2, a = 1

B. $P=\frac{1}{2} ; a =\frac{1}{3}$

C. $P=\frac{1}{2} ; a =1$

D. P = 2, a = 3

Solution :

The given function is $f(x)= Pa^x$

So for the function to be an exponential growth, a should be a positive number and should be larger than 1. If it less than 1 or a fraction, then it is a decay. If the value of a is negative, then it would be between positive and negative alternately.

When the four option being substituted in the function, we get

A). It is a constant function since $2(1^x)=2$

B). Here, the value of a is a fraction which is less than 1, so it is a decay function. $f(x)=\frac{1}{2}\left(\frac{1}{3}\right)^x$

C). It is a constant function since the value of a is 1.

D). Here a = 3. So substituting, as the value of x increases by 1, the value of the function, f(x) increases by 3 times.

$f(x)=2(3)^x$

Therefore, option (D). represents an exponential function.

4 0

3 years ago

QR is the radius of R and PQ is the tangent to R. Find the value of x.

steposvetlana [31]

Answer:

x = 39

Step-by-step explanation:

We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:

80^2 + x^2 = 89^2

6400 +x^2 = 7921

x^2 = 1521

x = $\sqrt{1521}$

x = 39

5 0

2 years ago

Enter the number of complex zeros for the polynomial function in the box.

Finger [1]

Given polynomial function:

$f(x)=x^3-96x^2+400$ .

We need to apply Descartes' rule of sign to identify the number of complex roots.

The given polynomial is f(x)=x^3-96x^2+400

Let us see the number of sign changes in f(x)

There are 2 sign changes in f(x). One from plus to minus and second from plus to minus. Hence, there 2 or 0 positive roots.

Now, let us see the number of sign changes in f(-x)

f(-x)=-x^3-96x^2+400

There are only one sign change. Hence, there will be 1 negative roots.

The degree of the polynomial is 3.

Hence, there will be exactly 3 zeros.

<em>Therefore, the possible numbers of zeros are:</em>

<em>2 positive, 1 negative and 0 complex</em>

<em>0 positive, 1 negative and 2 complex.</em>

Let us see the graph:

In the graph, we can see that the graph cuts the x axis at three points (2 positive, 1 negative points).

<h3>Hence, the number of complex zeros for the given polynomial is zero.</h3>

3 0

3 years ago

WILL CHOOSE BRAINLIEST!!!

motikmotik

Answer:

Step-by-step explanation:

Graph the points and draw an aproximate line of fit that includes two of the points. Then using point-slope form find the linear equation of that line.

10-(-4)=m(-5-4) is 14=m(-9) solve for m and find the slope is aproxx -14/9 or -1.555. Then do some fancy math to find your y intercept and you come out with an aproxx line of fit of y=(-14/9)x+(20/9). Or you could plug these points into excel and have it spit out a trendline of y=(-1.26)x+(0.467)

3 0

2 years ago

A runner can run 2 miles in 14 minutes. At this rate, how many miles can he run in 70 minutes?

igomit [66]

Answer:

The answer is that the runner can run 10 miles in 70 minutes.

Step-by-step explanation:

To solve for the number of miles that the runner can run in 70 minutes, start by setting up the information given from the problem in the form of a proportion.

A proportion is an equation which defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In a proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

The proportion for this problem will look like $\frac{2 miles}{14 minutes}=\frac{x}{70 minutes}$ . (x) will be used as the variable for the number of miles that the runner can run in 70 minutes.

To solve the proportion, start by cross multiplying to form an equation, and the equation will look like $(14)(x)=(2)(70)$ . Next, simplify the equation, which will look like $(14)(x)=140$ . Then, solve the equation by dividing both sides of the equation by 14, and it will look like $x=10$ . The final answer is that the runner can run 10 miles in 70 minutes.

4 0

3 years ago