Which is the correct form of the partial fraction decomposition for the expression 2x-5/x(x+4)?

it's b

Answer:

Construction of an angle bisector is partially represented by the diagram on the baseball field.

Step-by-step explanation:

Angle bisector of an angle bisects it into two equal angles.

Construction of an angle bisector is partially represented by the diagram on the baseball field.

Consider the figure:

From point B, draw an arc by opening the compass up to the same extend as we did while drawing arc from point A.

Take the point of intersection of both the arcs as C.

Join OC.

OC is the angle bisector of the angle.

Answer:

35

Step-by-step explanation:

If you put 40 - 5 it would equal 35 in the positive

Answer:

(a) The least amount of time spent per week on meetings is, 12 hours.

The highest amount of time spent per week on meetings is, 23 hours.

(b) Shown below.

Step-by-step explanation:

(a)

Arrange the data in ascending order.

S = {12 , 13 , 14 , 15 , 15 , 15 , 15 , 15 , 16 , 18 , 18 , 18 , 19 , 19 , 19 , 20 , 20 , 21 , 21 , 21 , 22 , 23 , 23 , 23 , 23}

The least amount of time spent per week on meetings is, 12 hours.

The highest amount of time spent per week on meetings is, 23 hours.

(b)

The frequency distribution table with the relative frequency distribution is as follows:

Class Interval   Frequency        Relative Frequency

    12 - 14                         3                            0.12

    15 - 17                         6                            0.24

    18 - 20                 8                            0.32

    21 - 23                 8                            0.32

     Total                        25                             1.00

Answer:

90

Step-by-step explanation:

Answer:

47 miles per hour

Step-by-step explanation:

The average rate of speed is the miles divided by the hours

141 miles / 3 hours

47 miles per hour

Answer:

47

Step-by-step explanation:

141 / 3

Answer:

7

Step-by-step explanation:

1. Do 49÷7 to get the average of 7

Answer:

37

Step-by-step explanation:

Step-by-step explanation:

50/50 it's random I think but I learned that in science

Answer:

Quinn can expect to pick blue 40 times

Step-by-step explanation:

the probability of picking blue is stated as 2/10 which can be reduced to 1/5

multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)

200 x 1/5 = 200 / 5 = 40

Quinn can expect to pick blue 40 times

Answer:40 blue marbles

Step-by-step explanation:

First find the probability of a blue marble

P (blue) = number of blue marbles / total marbles

            = 2 blue/ ( 5+3+2) total

             = 2/10

              =1/5

We can use this since we return the marble to the bag each time

We multiply this by 200 for the number of times it is picked

200 * 1/5 = 40

We should expect to pick 40 blue marbles

Answer:

0.49

Step-by-step explanation:

for it to be rational there should not be no decimal nor pi .

Answer:

30-oz is a better buy

Total cost: $40.80

Step-by-step explanation:

The container with a lesser price per oz will be the better buy.

Let's calculate how much each container will give us per oz:

2-oz container = $1.99/2 = $0.995 per oz

5-oz container = $3.95/5 = $0.79 per oz

12-oz container = $8.76/12 = $0.73 per oz

30-oz container = $20.40 = $0.68 per oz

The 30-oz container is cheaper and would be a better buy.

In total the chef would buy 60-oz of hot pepper sauce for = 60-oz*$0.68 = $40.80

Answer:

12

Step-by-step explanation:

unless placed in an inconvinient way, this is really the one that makes sense.

Answer:

3(4 + 3x)

distribute the 3 into both numbers

3*4

3*3x

9x +12

Step-by-step explanation:

Answer:

4.82803 kilometers

Step-by-step explanation:

1 mile is 1.609 kilometers

Answer:

4.828032

Step-by-step explanation:

Answer:

.000

Step-by-step explanation:

i gotchu, x = 14.4

8/x = 5/9 (solve for x)

first you'd cross multiply (property of multiplication)

(8)(9) = (5)x

72 = 5x

then you flip your equation (communitive property)

5x = 72

then you need to eliminate five so you'd divide by 5 (inverse operation)

5x/5 72/5

x = 72/5

so x would be 14.4 since 72/5 is 14.4

(or just 14 since if you rounded it your answer would be 14)

Answer:

Step-by-step explanation:

Given the following :

Single policy holders (n1) = 900

Number making claims (x1) = 135

Married Policy holders (n2) = 400

Number making claims (x2) = 24

α = 0.05

a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.

Null: p1 - p2 = 0

Alternative : p1 - p2 ≠ 0

p = (n1p1 + n2p2) / n1 + n2 ;

p1 = x1/n1 = 135 / 900 = 0.15

p2 = x2/n2 = 24 / 400 = 0.06

p = (900*0.15 + 400*0.06) / (900 + 400)

p = 0.1223076

Test statistic (z):

(p1 - p2) / √p(1-p)(1/n1 + 1/n2)

(0.15 - 0.06) / √0.12231(1-0.12231)(1/900 + 1/400)

= 4.5710979

Decision:

Reject Null if P < α

Obtaining p value from z score using calculator :

P value = 0.0001

0.0001 < 0.05

Hence,

Reject Null

Answer:

The answer is B

Step-by-step explanation: Let me know if you need an explanation.

Answer:

20 % decrease

Step-by-step explanation:

First find the number of students that left

40 -32 = 8

Take the number of students that left and divide by the original number of students

8/40

1/5

.20

20%

20 % decrease

Answer:

20% decrease ._.

Step-by-step explanation:

If u could subscribe to my friend penny_pg3d on YT, that would be great :)

Answer:

23.25 you will just divide it

Step-by-step explanation:

Answer:

Any number different from 2 or 4

Step-by-step explanation:

As long as the number a is not 2 or 4 (which would connect the value of "a" in the Domain with different numerical values in the Range, the relationship will be a function. A function requires that for any element of the Domain there is ONLY one associated element in the Range.

Answer:

Its increasing the y value by 2 everytime

Step-by-step explanation:

-4,0 + 0,2 = -4,2

-4,2 + 0,2 = -4,4

to understand the increasing value add 2.

Answer:

The answer is y = -1/3

Step-by-step explanation:

Hope this helps

Answer:

A. 62

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

A decrease of 65% would be the same as multiplying the value by 35%.

100% - 65% = 35%

Let's use an example.

You have $150 dollars in stock and it decreases by 65%

150 - (.65*150) =

150 - 97.5 = $52.50

Now let's just multiply $150 by .35 (which is 35%)

150 * .35 = $52.50

It's the same!

Answer: 18

Step-by-step explanation: -36 / -2 simply

Answer:

Step-by-step explanation:

[tex]\begin{aligned} 8d&=72\\\\ \dfrac{8d}{8}&=\dfrac{72}8&\green{\text{Step } 1}\\\\ d&=8&\blue{\text{Step } 2} \end{aligned}[/tex]

Derek's Mistake ;

[tex]\frac{8d}{8} =\frac{72}{8} \\\\[/tex]

Reason ;

[tex]72\div 8 =9 \\\\So ; d = 9[/tex]

Answer:

Step 2 - d=8

Step-by-step explanation:

72/8 equals 9 not 8

Answer:

Both functions must have a constant rate of change.

The rate of change of either f(x) or g(x) must be 0.

From the first equation we know that both f (x) and g (x) must be of order 1 or of order 0, since the maximum exponent of X is 1. This indicates that both functions must have a constant rate of change , since the derivative of a function of order 0 or of order 1 is a constant.

From equation 2 we know that both f (x) and g (x) are composed of a single term, since the multiplication of both results in a single term (-9x). In addition, we verify that one of the functions is of order 0 and the other is of order 1, since the result of the product is of order 1.

If f (x) or g (x) are of order 0, which means that they are composed of only one constant, the rate of change of any of the 2  functions is 0.

Step-by-step explanation:

Answer:

B and D.

Step-by-step explanation:

We know that when we added the two functions together, we get:

[tex]h(x)=-x+9[/tex]

However, when we multiplied them together, we get:

[tex]j(x)=-9x[/tex]

Let's first consider what we can determine from this.

If we add them together, we get a linear equation. However, this doesn't mean that our two original functions are linear since if we have, say, -x^2 and x^2-x+9, they will cancel and form a linear equation if we add them together.

However, since we know that if we multiply the two functions together, we get a linear equation, this means that both our original functions must be linear.

But, if we multiplied two linear functions, then we should get a quadratic, since x times x will yield x².

Therefore, this means that one of our linear functions is a horizontal line with no x variable. This is the only way to have a linear equation when multiplied.

Therefore, we have determined that both of our original functions are linear functions, and one (only one of them) is a horizontal line.

Let's go through each of the answer choices.

A) Both functions must be quadratic.

This is false as we determined earlier. If this was true, then the resulting function should be a quartic and not a line. A is false.

B) Both functions must have a constant rate of change.

Remember that all linear equations have a constant rate of change.

Since we determined that both our original functions are linear equation, this means that both our functions will have a constant rate of change.

So, B is true.

C) Both functions must have a y-intercept of 0.

Remember that one of our functions is a horizontal line.

If the y-intercept was 0, then the equation of our horizontal line will be:

[tex]y=0[/tex]

And we know that anything multiplied by 0 will give us 0. However, the product of our function is -9x.

So, C cannot be true.

Rather, only our linear equation (not the horizontal line) may have a y-intercept of 0.

D) The rate of change of either f(x) or g(x) must be 0.

Remember that we determined that one of our lines must a horizontal.

Remember that horizontal lines have a slope of 0. In other words, the rate of change is 0.

So, D is true.

E) The y-intercepts of f(x) and g(x) must be opposites.

Well, since B and D is are true, this must be false since we can only select two options ;D

But, we can think about this. Note that if we multiply the two functions, we have a function without a y-intercept.

Remember that our horizontal line is not 0. So, the y-intercept of the horizontal line is a number.

So, the opposite of a number is another number.

So, if we multiply two non-zero numbers, we must get another number.

However, from our product, j(x)=-9x, we don't have another number. The y-intercept from this is 0.

Therefore, the two y-intercepts cannot be opposites of each other. If it was so, then we should have a y-intercept. So, E must be false.

In fact, this means that the y-intercept of our line (not the horizontal one) must be 0.

So, our answers are B and D.

And we're done!

Edit: Some (minor) errors in reasoning. Sorry!