solve the equationX=15/x+1/4

Answers

Answer 1

Answer:

x = -3.75 or 4

Step-by-step explanation:

Multiply by 4x and solve the resulting quadratic in any of the usual ways.

... 4x² = 60 +x

... 4x² -x -60 = 0 . . . . . . . . . . . subtract 60+x

... (x -4)(4x +15) = 0  . . . . . . . . .factor the equation

... x = 4 . . . or . . . -15/4 . . . . . . the values that make the factors zero

_____

Comment on the graph

It is convenient to use a graphing calculator to find the zeros of a function, so it works well to rewrite the equation to be something that is equal to zero. Here, we've subtracted the right side, so we have ...

... f(x) = x - (15/x +1/4) = 0

Solve The EquationX=15/x+1/4

Related Questions

A cylinder has a volume of 360 in^3. If the height and radius are multiplied by 2.5, what will the resulting volume be?
A) 5525 in^3
B) 2880 in^3
C) 5400 in^3
D) 3600 in^3

Answers

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=2.5r\\ h=2.5h \end{cases}\implies V=\pi (2.5r)^2(2.5h) \\\\\\ V=\pi \cdot 2.5^2\cdot r^2\cdot 2.5h\implies V=(2.5^2\cdot 2.5)\pi r^2 h \\\\\\ V=15.625\pi r^2h\impliedby \textit{15.625 of the original} \\\\\\ \textit{if the original was 360}\qquad 15.265\cdot 360[/tex]

there are 24 sixth graders and 40 seventh graders. Mr chan wants to divide both grades into groups of equal size ,with the greatest possible number of students in each group. How many students should be in each group?

Answers

Here, you must find the GCF of 24 and 40 which is 8
There would be 8 in each group.

Between white pair of numbers is a product of 200 and 89 and 7

Answers

[tex]\bf 200\cdot 89\cdot 7\implies 124600 \\\\\\ \boxed{124599}\text{\textemdash\textemdash\textemdash\textemdash\textemdash}124600\text{\textemdash\textemdash\textemdash\textemdash\textemdash}\boxed{124601}[/tex]

Daily output of marathon's garyville, lousiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels. (a) what is the probability of producing at least 232,000 barrels?

Answers

50% A normal distribution is symmetric about the mean. That means that no matter what the standard deviation of a statistic, if it is normally distributed half of the time it will above the mean and half will be below. 232000 barrels is the mean and half of the time production will be above that value.

An equivalent equation has been written by multiplying the second equation by 2. 4x – 9y = 7 4x – 9y = 7 2(–2x + 3y = 4) → –4x + 6y = 8

Answers

my best guess is 
x=3/2y-2
y=2/3x+4/3
depends on which one you are solving for

Answer: answer is (-19/2,-5)


Step-by-step explanation:


1 1/4mi = ft, can someone explain this to me

Answers

first off, we'll convert the mixed fraction to "improper" and check about, keeping in mind that, there are 5280 feet in 1mile.

[tex]\bf \stackrel{mixed}{1\frac{1}{4}~mi}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}~mi}\\\\ -------------------------------[/tex]

[tex]\bf \begin{array}{ccll} feet&miles\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 5280&1\\ f&\frac{5}{4} \end{array}\implies \cfrac{5280}{f}=\cfrac{1}{\quad \frac{5}{4}\quad }\implies \cfrac{5280}{f}=\cfrac{\frac{1}{1}}{\quad \frac{5}{4}\quad } \\\\\\ \cfrac{5280}{f}=\cfrac{1}{1}\cdot \cfrac{4}{5}\implies \cfrac{5280}{f}=\cfrac{4}{5}\implies \cfrac{5280\cdot 5}{4}=f\implies 6600=f[/tex]

Valentine purchased 200 beads for $48 to make necklaces. If she needs to buy 25 more beads,how much will she pay if she is charged the same rate?

Answers

Fire: you need you show ur understanding by Dividing ur Amount By ur Total Which is 48 ÷ 200$ and that give your rage which is 0.24 per bead.

How many variables are displayed in a scatter plot

Answers

Image result for How many variables are displayed in a scatter plot
two variables
BACK.
Scatter plots are an awesome way to display two-variable data (that is, data with only two variables) and make predictions based on the data. These types of plots show individual data values, as opposed to histograms and box-and-whisker plots.

Julio works at an electronics store where he earns $11 an hour. Last week, he received a $120 bonus. How many hours did he work if he earned $505 total last week?

Answers

505-120=385

385 divide by 11= 35

answer=35hrs

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cory earns 52.50 in 7 hours. find the unit rate

Answers

$7.50/h is the answer

divide 52.5o by 7

52.50 / 7 = 7.50 per hour

Write the slope intercept form of the equation of the line through the given points.
Explanation, please! Thank you!

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 1}}\quad ,&{{ -2}})\quad % (c,d) &({{ 1}}\quad ,&{{ 3}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{3-(-2)}{1-1}\implies \stackrel{und efined}{\cfrac{3+2}{0}}[/tex]

hmmm, the slope is undefined, that means, is a vertical line then, check the picture below.

Round off446,221 to the nearest ten

Answers

the answer is 446,220

Answer:

Answer when we  round off 446,221 to the nearest ten is 446,220

Step-by-step explanation:

We need to round off 446,221 to the nearest ten.

Nearest ten to the 446,221 can be 446,220 or 446,230

Difference between 446,221 and 446,220 = 446,221 - 446,220 = 1

Difference between 446,221 and 446,230 = 446,230 - 446,221 = 9

Here the difference is minimum for 446,220

Answer when we  round off 446,221 to the nearest ten is 446,220

Glenn invested $22,000 at 7% interest compounded annually. How much interest will Glenn earn in 3 years?


$19,826.24

$20,837.25

$2340.23

$4950.95

Answers

Given:
P = $22,000, the principal
r = 7% =0.07, the rate
n = 1, annual compounding
t = 3 years

The value after 3 years is
[tex]A=P(1+ \frac{r}{n} )^{nt}[/tex]
That is,
A = 22000(1.07)³ = $26,950.95
Interest earned = $26,950.95 - $22,000 = $4,950.95

Answer: $4,950.95

what is the coefficient in the expression 3x/13+4?

Answers

A coefficient in the expression is a numerical or constant quantity that is placed before and multiplying the variable in an algebraic expression, for example in expression 5x + 4; 5 is the coefficient.
So in the given expression 3x/13 + 4. 3 / 13 is the coefficient of x, as 3 / 13 is multiplying with x.

Answer:3/13

Step-by-step explanation:

Just took test

This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways. How are 6 and 2 related?

corresponding angles
alternate interior angles
same-side interior angles
none of these

Answers

I need help with this too haha I can't find it anywhere
The answer is A)corresponding angles

General house cleaning (sweeping the floor vacuuming laundry) can burn 470 calories every two hour determine the unit rate

Answers

470/2 = 235. 235c/h is the unit rate.

Answer:

The unit rate is 235 calories per hour.

Step-by-step explanation:

General house cleaning (sweeping the floor vacuuming laundry) can burn 470 calories every two hour determine the unit rate.

Unit rate means we have to find the calories burned in 1 hour.

Hence, calories burned in 1 hour = [tex]\frac{470}{2}= 235[/tex]

Answer :

The unit rate is 235 calories per hour.


An overdraft balance occurs when the available balance in a bank account is below zero. Yvonne has an overdraft balance at the beginning of the year. The function graphed models Yvonne's account balance, y, in dollars, x weeks after the beginning of the year.

Select True or False to describe each statement.


True False
The x-intercept represents Yvonne's account balance at the beginning of the year.

The slope represents the amount Yvonne deposits to her account each week.

Yvonne no longer has an overdraft balance 4 weeks after the beginning of the year.


Graph of a line on a coordinate plane. The horizontal x axis ranges from 0 to 9 in increments of 1. The vertical y axis ranges from negative 100 to 100 in increments of twenty five. A line passes through the points begin ordered pair 0 comma negative 1 hundred end ordered pair and begin ordered pair 4 comma 0 end ordered pair and begin ordered pair 8 comma 1 hundred end ordered pair.

Answers

Answer:

False; True; True.

Step-by-step explanation:

In this situation, the y-intercept would represent the amount of money in her account at x=0 weeks, or the beginning of the year.  This is not the x-intercept, so the first statement is false.

The slope is the rate of change.  This would describe how her account changes every week, so this represents the amount of money she deposits into her account each week.  This means the second statement is true.

The line goes through the point (4, 0).  Since x is the number of weeks, this would represent the amount in her account after 4 weeks.  Since the y-value is 0, this means she no longer has an overdraft balance after 4 weeks.  This means the second statement is true.

Following are the response to the given points:

The y-intercept, it would represent the number of funds in her account at x=0 weeks, or the start of the year. As this is not the x-intercept, the first assertion is untrue.The rate of increase is represented by the slope. This would illustrate how her account varies, That's the sum of money she puts into her account each week. This point is crossed by the line (4, 0), since x is indeed a couple of weeks, this is the amount in the account following 4 weeks. Since y-value=0, she no longer has an overflow balance after 4 weeks.

Therefore, the final answer is "false, true, and true".

Learn more:

For the compound inequality x + 2 ≥ a AND x - 7 ≤ b, find values of a and b for which the only solution is x = 1.

Answers

the answer is obviously, A=45, B=57

WILL GIVE BRAINEST
a bean plant grows at a constant rate for a month....

Answers

I'm fairly certain it's A. Gradient is 2, and you need to subtract the height and number of days from y and x respectively, rather than add them.

Hope this helps :)

What is the magnitude of the vector product? 4.00i + 7.00j?

Answers

The given vector is [tex]4.00 \hat{i} + 7.00 \hat{j}[/tex].

Its magnitude is
[tex] \sqrt{4.00^{2}+7.00^{2}} = 8.062[/tex]

Answer: 8.062  (nearest thousandth)

what is 645 round to the nearest ten

Answers

The answer is 650 have a nice day
645 rounded to the nearest ten is 650

hope this helps

A new computer game has been developed and 80 veteran game players will test its market potential. of sixty players liked the game, what is the probability that any veteran game player will like the new computer game

Answers

60/80 = 0.75

75% of the veteran game players liked the game

3/4  is the probability that any veteran game player will like the new computer game.

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Given,

New computer game has been developed and 80 veteran game players will test its market potential.  

In this sixty players liked the game.

We need to find the probability that any veteran game player will like the new computer game.

To find the probability we just need to divide sixty by 80.

60/80

3/4

Hence 3/4  is the probability that any veteran game player will like the new computer game.

To learn more on Probability click:

https://brainly.com/question/11234923

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Yesterday, Chau had m baseball cards. Today, he gave 5 away. Using m , write an expression for the number of cards Chau has left.

Answers

If m = baseball cards he had yesterday, and today he got rid of 5, the expression is equal to

m - 5 = x.

As an example of what the answer is, replace m with 10.

If he had 10 baseball cards and gave away 5 today, x = 5.

The answer is m - 5 = x.

Alex was hired to unpack 576 items of glass wear, at five cents per piece unpacked. For every item broken in the process, however, Alex had to pay $1.98. At the end of the job, Alex received $22.71. How many items did Alex break.

Answers

576*0.05= $28.80.
Guess and check: 1.98*5=9.9
28.80-9.9=18.9- too much
1.98*3=5.94
28.80-5.94=22.86- this is the closest

So he must have broken 3 items.
Hope this helps!

Can u plz mark me as brainliest? I really need it!

Alex broke 3 glasses during the unpacking of the glasses.

As mentioned in the question, Alex was hired to unpack 576 items of glass wear, at five cents per piece unpacked. For every item broken in the process, however, Alex had to pay $1.98. At the end of the job, Alex received $22.71.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The total amount earned for 576 glasses is given as,
= 576 × 0.05
= $28.80.

Amount earned = $22.71
Amount paid by Alex for the broken glass = $28.80 - $22.71 = 6.09
Total glass broked = 6.09 / 1.98 ≈ 3

Thus, Alex broke 3 glasses during the unpacking of the glasses.

Learn more about arithmetic here:

https://brainly.com/question/11424589

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A doctors office schedules 15-minute appointments and half hour appointments for week days. The doctor limits these appointments to, at most, 30 hours per week. Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week

Answers

The correct answer to this question is 15x + 30y <= 1800.

multipliy 30*60 (as it is 60min in an hour). Convert 15min and 30min into hours, leaving 30 as is.

(1/4)x + (1/2)y ≤ 30
By multiplying every term with 60( to convert from hours to minutes) we get 
15x+30y≤1800

the store has 53 cases of apples and oranges in a storm if there are 28 cases of apples how many cases of oranges are there in the store room

Answers

There are a total of 35 cases or oranges in the store room.

Use the definition of the derivative to find the derivative of: f(t)=14−5tf(t)=14−5t.
f′(t)=
f′(t)=

Answers

[tex]\bf f(t)=14-5t\qquad \qquad \stackrel{d e f in i tion~of~a~derivative}{\lim\limits_{h\to 0}~\cfrac{f(t+h)-f(t)}{h}} \\\\\\ \lim\limits_{h\to 0}~\cfrac{[14-5(t+h)]~~-~~[14-5t]}{h}\implies \lim\limits_{h\to 0}~\cfrac{\underline{14-5t}-5h\underline{-14+5t}}{h} \\\\\\ \lim\limits_{h\to 0}~\cfrac{-5\underline{h}}{\underline{h}}\implies -5[/tex]

you invest 1600 in an account that pays an interest rate of 6.5%, what is your balance after 6 years and round your answer to the nearest hundredth.

Answers

Final answer:

To calculate the balance after 6 years with compound interest, use the formula Balance = Principal * (1 + Interest Rate)^Time. Substituting the values, we find the balance to be approximately $2,243.89.

Explanation:

To calculate the balance after 6 years, we need to use the formula for compound interest:

Balance = Principal * (1 + Interest Rate)^Time

Given that the principal (initial investment) is $1600 and the interest rate is 6.5%, we can substitute these values into the formula:

Balance = 1600 * (1 + 0.065)^6

Calculating this, we find that the balance after 6 years is approximately $2,243.89.

Final answer:

The balance after 6 years is approximately $2105.69.

Explanation:

To find the balance after 6 years, we can use the formula for compound interest:

Balance = Principal(1 + Interest Rate)^Ti

Plugging in the given values, we have:

Balance = $1600(1 + 0.065)^6

Simplifying, we get:

Balance = $1600(1.065)^6

Calculating, we find that the balance after 6 years is approximately $oxed{2105.69}.

How to write 645,300 in expanded form using exponents?

Answers

6 × 105+4 × 104+5 × 103+3 × 102+0 × 101+0 × 100

To express 645,300 in expanded form using exponents, it is written as [tex]6x10^{5} + 4x10^{4} + 5x10^{3}+ 3x10^{2}[/tex]x, breaking down each digit by its place value and expressing each as a power of 10.

To write the number 645,300 in expanded form using exponents, we break down each digit according to its place value and then express each of these as a power of 10. The place values for the number 645,300 are as follows:

600,000 which is 6 times 100,000

40,000 which is 4 times 10,000

5,000 which is 5 times 1,000

300 which is 3 times 100

Now we express these place values using exponents:

645,300 = [tex]6x10^{5} + 4x10^{4} + 5x10^{3}+ 3x10^{2}[/tex]

This notation shows the number 645,300 written as the sum of each digit multiplied by the appropriate power of 10 based on its position in the number.

A pile of coins, consisting of quarters and half dollars, it worth $11.75. If there are 2 more quarters than half dollars, how many of each are there?

Answers

Let the number of half dollars be x,

number of quarters = x + 2
amount of half dollars = 0.5x
amount of quarters = 0.25(x + 2)
= 0.25x + 0.5
total amount = 0.5x + 0.25x + 0.5
= 0.75x + 0.5
0.75x + 0.5 = 11.75
0.75x = 11.25
x = 15
number of quarters = x + 2
= 15 + 2
= 17

There are 17 quarters and 15 half dollars.

Let the number of half dollars be x,

number of quarters = x + 2

amount of half dollars = 0.5x

amount of quarters = 0.25(x + 2)

= 0.25x + 0.5

total amount = 0.5x + 0.25x + 0.5

= 0.75x + 0.5

0.75x + 0.5 = 11.75

0.75x = 11.25

x = 15

number of quarters = x + 2

= 15 + 2

= 17

There are 17 quarters and 15 half dollars.

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