write out the form of the partial fraction decomposition of the function (as in this example). do not determine the numerical values of the coefficients. (a) x − 30 x2 x − 30 (x−5)b (x 6)a (x−5)(x 6)​ (b) x2 x2 x 30

Answer:

thanks for the points

Step-by-step explanation:

thanks for the points

Answer:

40 days

Step-by-step explanation:

Let d be the number of days.

[tex]400 + 13d = 40 + 22d[/tex]

[tex]360 = 9d[/tex]

[tex]d = 40[/tex]

Answer:

72

Step-by-step explanation:

when x = 6

then replace x with 6 in the equation

12x

= 12(6)

= 72

Solution of the equation [tex][\frac{1}{5(10x-5)} =(5x-1)][/tex] is [x = (-0.512788205961), (-0.187211794039)].

As per the question statement, our concerned equation is  [tex][\frac{1}{5(10x-5)} =(5x-1)][/tex].

We are required to find the value of "x" that satisfied the equation. First, we will have to convert the given equation to the form of quadratic equation.

[tex][\frac{1}{5(10x-5)} =(5x-1)]\\or, 1=5(10x-5)*(5x-1)\\or, 1=5*5(2x-1)*(5x-1)\\or,1=25[(2x-1)(5x-1)]\\or,1=25(10x^{2} -2x-5x+1)\\or,1=25(10x^{2} -7x+1)\\or,1=250x^{2} -175x+25\\or,250x^{2} -175x+24=0\\[/tex]

Now, [(250x² - 175x + 24) = 0] is in the form of a quadratic equation.

Also, the formula to calculate the solutions of a standard quadratic equation [ax² + bx +c = 0] goes as [tex][x=(\frac{-b+\sqrt{(b^{2}-4ac) } }{2a}), (\frac{-b-\sqrt{(b^{2}-4ac) } }{2a}) ][/tex]

Comparing [ax² + bx +c = 0] with [(250x² - 175x + 24) = 0], we get

(a = 250), (b = 175) and (c = 24), and using these values in the above mentioned formula to calculate the solutions of quadratic equations, we get, [x = (-0.512788205961), (-0.187211794039)].

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Answer:

11/20

Step-by-step explanation:

Answer:

33/60 might be correct.

Step-by-step explanation:

1/4 hours is 15 minutes. 4/5 hours is 48 minutes

48-15=33 more minutes

Answer:

d=rt-g

First, add G to both sides

d=rt-g

+g   +g

----------

dg=rt

Then divide by r since you're solving for t

dg    rt

---=-----

r       r

Your answer should be t=dg/r

Hope this helps!

Step-by-step explanation:

By additive property of line segments, the length of the line segment PR is equal to a length of 96 units.

According to geometry, the perimeter of a figure, closed or not, is the sum of the lengths of its sides, each represented by a line segment. In this question, we must determine the perimeter of two line segments, whose definition is found by additive property of line segments:

PR = PQ + QR           (1)

Where PR, PQ and QR are the lengths of the three line segments. If we know that PQ = 54 and QR = 42, then the length of the line segment PR is equal to:

PR = PQ + QR

PR = 54 + 42

PR = 96

Therefore, the length of the line segment PR is equal to a length of 96 units.

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Answer: Use Desmos Graphing Calc, helps for graph like these

Step-by-step explanation:

1. Place a point on (0,8)
2. Then go down -1/3

P.S: REMEMBER RISE OVER RUN

The ladder needs to be 34.3m long from tree you to get to get the cat.

We must determine the hypotenuse in this right triangle, which is the side that is opposite the triangle's 90° angle. When the neighboring side is 23 meters away, the elevation angle is  54°

Suppose Hypotenuse equals h.

Given, the base is 23m

Using trigonometry,

tan θ = Base / hypotenuse

tan 54° = 23 / h

⇒ 0.67 = 23 / h

⇒ h = 23 / 0.67

⇒ h = 34.3

So, the ladder needs to be 34.3m away in order to reach cat.

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each input is mapped into only one output, so this is in fact a function.

A relation is a function if and only if each input is mapped into only one output.

Remember that an ordered pair is of the form (x, y), where x is the input and y the output.

In this case, the relation is defined by the ordered pairs:

(6, -2), (2, 2), (4, 1), (-1, 1)

We can see that each input is mapped into only one output, so this is in fact a function.

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Answer:

I did this and I got it wrong  so i did some so it said x=10 so im suggesting interpolation

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

The value of "r" in the given equation is -15.55.

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to get the equation of any straight line, we simply need two points off of it, let's use those points from the picture below.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{4 +2}{3 -1} \implies \cfrac{ 6 }{ 2 }\implies 3[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{3}(x-\stackrel{x_1}{1}) \implies y +2= 3 (x -1) \\\\\\ y+2=3x-3\implies {\LARGE \begin{array}{llll} y=3x\underset{(0~~,~~-5)}{\stackrel{\stackrel{y-intercept}{\downarrow }}{-5}} \end{array}}[/tex]

Answer:

8ft

Step-by-step explanation:

i believe it's eight feet?

Answer:

Equation is 15(x-20) = 945

x = $83

Step-by-step explanation:

The cost of each lesson is $x

The discounted cost = x-20

Since 15 lessons cost 945,

the equation is

15(x-20) = 945

Simplifying by multiplying the term in brackets by 15:

15x - 15(20) = 945

15x - 300 = 945

Adding 300 on both sides isolates the 15 x term

15x = 945 + 300 = 1245

15x = 1245

Dividing both sides by 15 ,
x = 1245/15 = 83

So cost of lesson before discount is $83

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation: I hope this helps.

The formula for y in terms of x is y = 3/x³.

Inversely Proportional:

When two variables are inversely proportional to each other, then the value of one quantity increases with respect to decrease in other or vice-versa.

So, it can be written as,

y = k/x

where,

y is inversely proportional to x and k is the constant of proportionality.

Given,

Y is inversely proportional to the cube of x.

Here we need to find the formula for y in terms of x.

We know that, y is inversely proportional to the cube of x.

So, it can be written as

=> y = k / x³

Where k is the constant.

To find the formula of y,

First we need to find the value of k,

By applying the value of x and y,

So,

=> 24 = k / (1/2)³

=> 24 = k / 1/8

=> 24/8 = k

=> k = 3

Therefore, the formula for y in terms of x is,

=> y = 3/ x³

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Answer:

57,600 ft

Step-by-step explanation:

Answer:

about 230lbs

Step-by-step explanation:

I think

Answer:

Yes because, Maybe because it's sometimes of technology occurs many things such as we no longer using old stuffs and living because. Even the calculator it's similar

Answer:

1.48

Step-by-step explanation:

first find the half of 3 and then minus 2

Answer:

1.48 meters

Step-by-step explanation:

3.00-1.52= 1.48m

Answer:

245 + 35x = 560

Step-by-step explanation:

35 x 7 = 245 (for monday)
Then the equation should be

245 + 35x = 560

It looks like you solved it too, your answer is correct btw! Lmk if you need help with the steps, or anything

Also, how you make this equation is this, you put how much he earned for monday, and then add it to 35x (x being the amount of cars he did) make sure to do = 560 at the end so you can solve it :)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Step-by-step explanation:

Since he gets  35$ for every car he washes and washed seven cars on Monday, he got 35*7=245. Now, you can minus the amount from it to 315. 315/35 is 9, so nine is your answer.

To phrase it into an equation, you can do when x=amount of cars washed, 35x=560-7*35.

Hope this helped!

Type A car has the highest number of miles per gallon.

Given that the miles driven by a Type A car is 106 miles for 5 Gallons of Gasoline.

⇒ miles per gallon for a Type A car = 106/5 = 21.2 miles/gallon

Given that the miles driven by a Type B car are 204 miles for 10 Gallons of Gasoline.

⇒ miles per gallon for a Type B car = 204/10 = 20.4 miles/gallon

Given that the miles driven by a Type C car are 298 miles for 15 Gallons of Gasoline.

⇒ miles per gallon for a Type A car = 298/15 = 19.87 miles/gallon

(approximate to the two places of decimal value)

Given that the miles driven by Type D car are 392 miles for 20 Gallons of Gasoline.

⇒ miles per gallon for a Type D car = 392/20 = 19.6 miles/gallon

Therefore we have the following:

Type A - 21.2 miles/gallon

Type B - 20.4 miles/gallon

Type C - 19.87 miles/gallon

Type D - 19.6 miles/gallon

It is clear from the above data, that type A car has the highest number of miles per gallon.

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The excel statement to estimate the test average of these 4 grades is -

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

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Answer: 462,864

Step-by-step explanation:

[tex]9614 \\x\\8\\\\\\=\\77144\\\\9643\\x\\4\\38572\\\\77144+38572 = 77144[/tex]

Step-by-step explanation:

x(x-4)(x+1) is a 3 degree polynomial in factored form with zeros 0,4 and -1

Just take each zero and change its sign, then stick an x in front of it to get the 3 factors

(x-0)(x-4)(x- -1) = x(x-4)(x+1)

= x(x^2-3x-4)

= f(x) = x^3 -3x^2 -4x

f(0) = 0

f(4) = 64-3(16)-4(4) = 0

f(-1) = -1 -3(-1)^2 -4(-1) = 0

graph the polynomial and it intersects the x axis in 3 places, the origin (0,0), (4,0) and (-1,0)

According to the given data set:

values10,11,12,13,14,17,17,18,18,19,19,19,21,23,23,25,26,27,27,27,31,32,33,33,36,37,37,38,38more than 20 and less than or equal to 29 values21,23,23,25,26,27,27,27more than 20 and less than or equal to 29 values.

A data set is a group of figures or values related to a specific topic. A data set might include, for instance, each student's test results in a certain class. A data set is the number of fish that each dolphin consumes in an aquarium.

There are eight values that are both bigger than 20 and less than 29.The data collection has 12 values that are both higher than or equal to 30 and lower than or equal to 39.Values greater than nor equal to 30 and less than or equal to 3931,32,33,33,35,36,37,37,37,38,38The data collection has 12 values that are both higher than or equal to 30 and lower than or equal to 39.

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Answer:

Suppose there are 1000 lockers in a school hallway and they are all closed. Only 50 students

come through the hallway and start opening and closing the lockers. The first student opened all

the lockers. The second student closed every second locker and so forth. The Third student

changes the state of every 3rd locker. The fourth student changes the state of every 4th locker,

the fifth student changes the state of every 5th locker and so on, until the 50th student.

a. What is the state of the following locker numbers: #91, #1505, #625, #1000?

i. How do you know? (please show how you know)