f ( x ) = ( x − 2 ) ( x + 4 ) ( x + 5 ) ( x − 1 ) ( x − 9 ) has zeros at x = -5, x = -4, x = 1, x = 2, x = 9

What is the sign of F on the interval -4 < x < 1?

Answer:

yes

yes

no

yes

Step-by-step explanation:

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

The type of study which is sports medicine doctor is using on the adult athletes for the placebo soft drink is experiment.

Statistical study is used to obtain the data and examine this data in the way, that its effectiveness can be measured.

There are three main types of statistical study-

It is given that a sports medicine doctor is interested in comparing the effectiveness of a new sports drink for adult athletes.

For this, the doctor randomly assigns a group of 80 adult athletes into 2 equal groups of 40-40 each.

Now, one group is given the new sports drink, while the other is given a placebo.Here, the medicine doctor is directly giving the sport drink to a set of sample.

By this he will, see the effectiveness of the group which are given placebo drink compare to the other group, which are not given this drink.

Thus, type of study which is sports medicine doctor is using on the adult athletes for the placebo soft drink is experiment.

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Yes, If there are any outliers in the data set, the standard deviation will be large since the deviation from the mean will have increased. Therefore, if the outliers are eliminated, the standard deviation will be reduced, probably reflecting the true features of the population.

The impact on the standard deviation increases with the outlier's extremeness. Outliers make your data more variable, which reduces statistical power. Therefore, eliminating outliers can make your findings statistically significant. A removal of an outlier will have an impact on the mean. The standard deviation will decrease if the outlier was larger than the mean.

The standard deviation will increase if the outlier was less extreme than the mean. It's best to get rid of outliers only when there's a good cause to. Some outliers in your dataset represent normal population variance and ought to be left alone. They are referred to as real outliers.

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Answer:

6 ln x + 3 ln y

Step-by-step explanation:

The value of x using the theorem of intersecting secants is 10

From the question, we have the following parameters that can be used in our computation:

intersecting secants

Using the intersecting secants equation, we have

8 * (8 + x) = 6 * (6 + 18)

Evaluate the like terms

So, we have

8 * (8 + x) = 6 * 24

Divide both sides by 8

8 + x = 6 * 3

So, we have

8 + x = 18

Subtract 8 from both sides

x = 10

Hence, the value of x is 10

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Answer:

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°

then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.Step-by-step explanation:

Answer:

increase by 100%

Step-by-step explanation:

100% of 0.5 is 0.5 therefore 0.5+0.5=1

The required time for which alan drives his car is 8.7 hours.

Given that,
Alan used a total of 7 1/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. The total number of hours he was driving is to be determined.

here,
Total fuel consumed = 7 + 1 / 4 = 29 / 4 gallons of fuel
Rate of fuel used per hour = 5 / 6
Total number of hours of driving  = Total fuel/fuel used per hour
                                                      = 29/4 / 5/6
                                                      = 8.7 hours.

Thus, the required time for which alan drives his car is 8.7 hours.

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Answer:

x = 15

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is

\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )

10x = 25(21 - x)

10x = 525 - 25x ( add 25x to both sides )

35x = 525 ( divide both sides by 35 )

x = 15

Answer:

560 Tickets

Step-by-step explanation:

40 tickets in 30 minutes will become 80 tickets in 60 minutes (an hour)

Multiply 80 by 7 to get 560

Answer:

Creo que $1,280

Step-by-step explanation:

12,000+800=12,800

12,800 x 10% =1,280

Answer:C

Step-by-step explanation:

Pemdas

3+5(10)

5*10=50

3+50=53

The area should be 47.5 CM.

Answer:

Step-by-step explanation:

The figure you see here is a trapezoid.

Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:

"7" Would be your answer.

Step-by-step explanation:

Use the Pythagorean theorem to find the height.

Height = sqrt(26^2-10^2)

Height = 24 cm

Volume = 20^2 x 24/3

Volume = 7,200 cm^3

Answer:

y = - 0.681 % ≈ -0.7 %

Step-by-step explanation:

Given:

                                                               April 19,1998            October 30, 1998

Value immediately prior to deposit                95                               105

                     Deposit                                       2X                                 X

amount in the account on January 1, 1999 = 115

effective dollar weighted yield = 0%

annual effective time weighted yield = y

To find:

Calculate y

Solution:

Given that the dollar weighted return is 0%

100 is deposited into investment account on January 1, 1998. So, add 100 to the deposits 2X X

100 + 2x + x = 115

3x = 115 - 100

3x = 15

x = 15/3

x = 5

Compute y

1 + y = (95/100)(105/105)(115/110)

1 + y = 0.95 * 1 * 1.045

1 + y = 0.99318

y = 0.99318 - 1

y = - 0.0068 * 100

y = - 0.681 % ≈ -0.7 %

y = -0.7 %

Answer:

27.57 degree

Step-by-step explanation:

shown in the diagram

The measurement of the smallest angle, of Δ ABC, is 27.57°

A triangle is a polygon with three edges and three vertices and three angles.

Given that, a triangle has sides 17, 29 and 16, we need to find the measurement of the smallest angle,

We know that, In any triangle, the largest side and largest angle are opposite one another, the smallest side and smallest angle are opposite one another, the mid-sized side and mid-sized angle are opposite one another. (please refer to the figure attached)

Therefore, the smallest angle, is opposite to side 16,

Using the cosine law of the triangle,

c² = a²+b²-2abcosC

C = cos⁻¹(a²+b²-c²) / 2ab

C = cos⁻¹(29²+17²-16²) / 2(29)(17)

C = cos⁻¹(874/986)

C = cos⁻¹(0.886409736)

C = 27.57°

Hence, the measurement of the smallest angle, of Δ ABC is 27.57°

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Answer:

x≥4

Step-by-step explanation:

The required solution for the inequality 5 - 2x ≤ -3 is x ≥ 4 or x ∈ [4, ∞).

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

5 - 2x ≤ -3.

Solve the inequality,

Add 3 to both the sides,

5 - 2x + 3 ≤ -3 + 3

8 - 2x ≤ 0

-2x  ≤ -8

Multiply -1 both the sides,

2x ≥ 8

x ≥ 4

The solution for the inequality is x ≥ 4 or x ∈ [4, ∞).

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Answer:

  2831

Step-by-step explanation:

You want the index of the pixel at (x, y) = (15, 22) in a 128×128 array, if the pixel at (0, 0) has index 0, and the pixel at (0, 1) has index 128.

The index increase by 128 for each additional row (y-value), so the index of pixel (x, y) is ...

  i = x +128y

The index for pixel (15, 22) is ...

  i = 15 +128·22 = 15 +2816

  i = 2831 . . . . . index of pixel (15, 22)

Answer:

0.05x+0.10(35-x)=2.50

(0.05x+3.5-0.10x=2.50) get rid of devimal points by multiplying both sides by 100

check

the answer is 37.2 ok

you can ask more if u want

Answer:

156

Step-by-step explanation:

pemdas

p- parentheses

e- exponets

m- multiplication

d-division

a - addition

s- subtraction

6x3+6x4+6x5+6x8+2[3x4+1/2(3x4)]

6x3+6x4+6x5+6x8+2[12+1/2(12)]

18+24+30+48+2[12+6]

18+24+30+48+2[18]

42+30+48+36

72+48+36

120+36

156

hopes this helps please mark brainliest