make y the subject...​

Make Y The Subject...

Answers

Answer 1

Answer:

  y = qx/p -qr

Step-by-step explanation:

To solve for a variable, you must undo the operations done to the variable. Here, the variable is divided by a negative number (-q), and the result is added to another term (x/p).

We undo the addition by adding the opposite of the term that is added:

  [tex]\dfrac{x}{p}-\dfrac{x}{p}-\dfrac{y}{q}=r-\dfrac{x}{p}\qquad\text{add $-\dfrac{x}{p}$}\\\\-\dfrac{y}{q}=r-\dfrac{x}{p}\qquad\text{simplify}[/tex]

We undo the division by multiplying by the reciprocal of the coefficeint, -q.

  [tex]\left(-\dfrac{y}{q}\right)(-q)=\left(r-\dfrac{x}{p}\right)(-q)\qquad\text{multiply by $-q$}\\\\\boxed{y=-qr+\dfrac{qx}{p}}\qquad\text{simplify}[/tex]


Related Questions

Using the chart, determine which college is the LEAST expensive.

Answers

Answer:

college c

Step-by-step explanation:

bc its the least amount of money and has the second highest loan default

The transformation of triangle ABC is an example of what?

Answers

Answer:

The relation between preimage and image

Step-by-step explanation:

The doubling time of a population of flies is 8 hours. By what factor does the population increase in 34 ​hours? By what factor does the population increase in 1 week ​?

Answers

Answer:

19.017 in 34 hours2,097,152 in 1 week

Step-by-step explanation:

An exponent is used to signify repeated multiplication. When the population doubles, it is multiplied by 2. The number of times the population has doubled will be an exponent of 2.

a)

In 34 hours, the population will have doubled 34/8 = 4.25 times. The multiplier is 2 with an exponent of 4.25:

 factor = 2^4.25 ≈ 19.027

__

b)

The population will double 24/8 = 3 times each day. After 7 days, the population will have doubled 7×3 = 21 times. The multiplication factor is ...

  factor = 2^21 = 2,097,152

Please help and Please write real equation for the answer thank you

Answers

Answer:

  f(x) = (3x -12)/(x² -7x +12)

Step-by-step explanation:

The equation for a rational function can be written from the clues offered by the horizontal and vertical asymptotes, the y-intercept, and any "holes" in the function graph. Here, those clues are ...

horizontal asymptote: y = 0vertical asymptote: x = 3hole: (x, y) = (4, 3)y-intercept: (0, -1)

__

The horizontal asymptote at y=0 tells you the denominator is of higher degree than the numerator. The vertical asymptote at x=3 tells you (x-3) is a factor of the denominator. The hole at x=4 tells you there is a factor of (x-4) in both numerator and denominator.

At this point, the function is tentatively ...

  [tex]f(x)=a\dfrac{x-4}{(x-3)(x-4)}[/tex]

Evaluating this at the y-intercept, x=0, gives ...

  f(0) = -1 = a/(0 -3) = -a/3

  a = 3 . . . . . multiply by -3

Then our rational function, consistent with all of the features of the graph, is ...

  [tex]f(x)=\dfrac{3(x -4)}{(x -3)(x -4)}\\\\\boxed{f(x)=\dfrac{3x-12}{x^2-7x+12}}[/tex]

Please at least just look to see if its
easy for you

Answers

Answer:

4/10

2/5

6/15

Step-by-step explanation:

We can change all fraction to decimal :

2/10 = 0.2

1/10 = 0.1

4/10 = 0.4

2/5 = 0.4

4/5 = 0.8

6/15 = 0.4

Base on that we can see that 4/10, 2/5, and 6/15 are equal

~lenvy~

probably extremely easy but would like a little explanation on doing this when it comes to this specific subject

Answers

Answer:

look at each pair. examine each notice exponents so you find the hidden gcf

Step-by-step explanation:

Find two numbers whose product is 110, and whose sum is 21.

Answers

Step-by-step explanation:

The answer is 10 and 11

10 + 11 = 21

10 × 11 = 110

This below in pic is the question i need reason for my answer pls help

Answers

Answer:

The triangle is equilateral, therefore each angle must be 60.

Step-by-step explanation:

On the basis of her newly developed technique, a student believes she can reduce the amount of time schizophrenics spend in an institution. As director of training at a nearby institution, you agree to let her try her method on 20 schizophrenics, randomly sampled from your institution. The mean duration that schizophrenics stay at your institution is 90 weeks, with a standard deviation of 10 weeks. The scores are normally distributed. The results of the experiment show that patients treated by the student stay at the institution a mean duration of 84 weeks. What do you conclude about the student’s technique? Use α = .05. What are the 7 steps?

Answers

The exercise above is referred to as Hypothesis Testing which is also called Significance Testing.

What is Significance Testing?

Significance testing is a method that is used to evaluate a research question. This is important because, after you have set a research question or hypothesis, the next step is to check whether it is Null or not.

What are the seven steps involved in the above exercise are:

Two-Tailed (non-directional test)Alpha (α) = 0.05μ = 90σ = 10N = 20X = 84s = 10

Using ∝ = 0.05₂ tail, the conclusion is given as follows:

Z[tex]_{obt}[/tex] = (84-90)/10/[tex]\sqrt{10}[/tex]

      = - 6/10/‭3.1622777

      = -6/‭3.1622777

      = -1.8973666

Z[tex]_{crit}[/tex] = for a two-tailed test with ∝ = 0.05 = = ± 1.960

Because we are looking at the left (negative, fewer) tail, Z[tex]_{crit}[/tex] = -1.960

Since | Z[tex]_{obt}[/tex] = -1.897 | [tex]\geq[/tex] |  Z[tex]_{crit}[/tex] = -1.960 |

It does fall within the critical region for rejection (left tail), therefore we reject the null hypothesis (H₀) and conclude that the average time spent in the institution for the sample of patients is significantly lower than the institution's average stay.

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The length of the term is one year. Calculate the principal if the maturity value is $4,500 and the simple interest is $350.

Answers

Answer:

Easy! The answer is $4,150

Step-by-step explanation:

The $350 is interest so we will take that away from the maturity value to get 4,150!

mark BRAINLIEST IF YOU THINK I HELPED

Dylan has 58912 cookies he eats 34512 how much does he have now?

Answers

Answer:

24,400

Step-by-step explanation:

58912 minus 34512 equals 24400.

Hope this Helps.

BTW it's my birthday

Answer:

24400

Step-by-step explanation:

No explanations; 58912-34512=24400

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

[tex]\frac{1}{4}*\frac{25}{25} = 25/100[/tex]=25%

Step-by-step explanation:

25%. One quarter of 100% is 25%, if you divide 100% by four that is what you will get.

integrate the following by parts |xcos x dx​

Answers

[tex]\displaystyle \int x \cos x ~dx\\\\=x\displaystyle \int \cos x ~dx- \displaystyle \int \left(\dfrac{d}{dx} x \displaystyle \int \cos x ~dx \right) dx\\\\=x\sin x - \displaystyle \int\left( \sin x \right) dx\\ \\=x \sin x - (-\cos x) +C\\\\=x \sin x + \cos x +C[/tex]

Which lines are the directrices of the ellipse?

x = −4.25 and x = 8.25
x = −3.25 and x = 9.25
y = −4.25 and y = 8.25
y = −3.25 and y = 9.25

Answers

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

How to calculate the ellipse?

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

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5 questions! Math, answer by saying "question __ is ____ " thank you! picture included! 50 points!

Answers

Answer:

1.c

2.a

3.d

4.b

5.b

Step-by-step explanation:

I found the answers on a web site.

Answer:

1.A

2.D

3.C

4.B

5.A

Step-by-step explanation:

What is the equation of the trend line in the scatter plot?

Answers

Answer:

y=(x-1)

Step-by-step explanation:

ASZPPPP
LAST ONEEE PLEASEE HELPP

Answers

Answer:

Top Left

I sincerely hope this is right and that you get g really good mark ;)

Mikes parents bought him new gaming console he gets 72612312 games n puts in 5312 how much does he have left

Answers

Answer:

Seventy-two million, six hundred and seven thousand games remaining

please mark brainliest

Answer:

72607000

Step-by-step explanation:

just subtract 5312 from 72612312

how do I convert 216 in percentage

Answers

Answer: 21600

216 as a percentage of certain number x can be calculated by dividing 216 by x, and multiplying the result by 100. For example, 216 as a percentage of 10 = (216 / 10) x 100% = 2160%.

Step-by-step explanation:

Spot the difference

Find anything that 3 of the 4 image's have in common, and write why the 4th is different from the other 3​

Answers

A. Is different from the other three
This is because B,C, and D all have exponents while A does not.

Please help me with this problem!!

Answers

Answer:

ok this is at first hard but during time you should use math genie helps you and has grade levels

Step-by-step explanation:

Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity

Answers

To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

Factorization

q(x)=12x^5+40x^4-32x³

q(x)=4x³ (3x²+10x-8)

q(x)=4x³(3x²+12x-2x-8)

q(x)=4x³ [(3x (x+4)-2 (x+4)]

q(x)=4x³ (3x-2) (x+4)

When:

q(x)=0; x1=0; x2=2/3; x3=-4

Hence:

When:

x=0 the multiplicity is 3

x=2/3 the multiplicity is 1

x=-4 the multiplicity is 1

Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

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n △IJK, m∠J=34°, m∠I=72°, and i=206. Identify j rounded to the nearest tenth.

Answers

Answer:

121.1

Step-by-step explanation:

The measurement j will be 121.1

What is law of sine?

Law of sine says that ratio of sine of an angle and its opposite side is always same for every 3 angles of the triangle and their opposite sides.

In ΔABC,

sinA/a = sinB/b = sinC/c

in the given triangle ΔIJK

∠J=34°

∠I=72°

i=206

So, using law of sine,

sinI/i = sinJ/j

⇒sin72°/206=sin34°/j

⇒j=(sin34°/sin72°)*206

⇒j=121.1

Therefore, the value of j will be 121.1

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5. The perimeter of a rectangular poultry farm is 38m. If 3 meters are subtracted from its length and 2 meters from its breadth, the length will be two times the breadth. Find the area of the farm?

Answers

By solving a system of equations we will find the dimensions of the rectangle, and with these, we will see that the area is equal to 82.31 m^2

How to find the area of the farm?

For a rectangle of length L and width W, the perimeter is:

P = 2*L + 2*W

In this case, we know that the perimeter is equal to 38m, then:

38m = 2*L + 2*W

We also know that if we subtract 3 meters from the length and 2 meters from the breadth, the length will e 2 times the breadth.

This is written as:

(L - 3m) = 2*(W - 2m)

Then we have a system of equations:

38m = 2*L + 2*W

(L - 3m) = 2*(W - 2m)

To solve this, we isolate one of the variables in one of the equations, I will isolate L on the second equation:

L = 2*(W - 2m) + 3m

Replacing that on the other equation we get:

38m = 2*(2*(W - 2m) + 3m) + 2*W

Now we can solve this for W.

38m = 4*(W - 2m) + 6m + 2*W

38m = 4*W - 2m + 2*W

38m + 2m = 6*W

40m = 6*W

40m/6 = W = 6.67m

Then the length is:

L =  2*(  6.67m - 2m) + 3m = 12.34 m

So the area of the rectangle is:

A = L*W = 12.34m*6.67m = 82.31 m^2

If you want to learn more about systems of equations, you can read:

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Which of the following values in the set below will make the equation 4x + 2 = 18 true?

{0, 1, 2, 3,4}
^^ those are the input numbers

Answers

Answer:

4

Step-by-step explanation:

subtract 2 on both sides you will get 4x=16 because 18-2=16 then divide both sides by 4 to get ×=4

4x+2=18

-2. -2

4×=16

4. 4

x=4

What is the equation of the line that passes through the point (3, 5) and has a slope
of -1/3

Answers

Linear Equations

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

m = slopeb = y-intercept (the value of y when the line crosses the y-axis)

To determine the equation of a line:

Find the slopePlug the slope into y=mx+bPlug in a point that falls on the line as (x,y)Solve for b

Solving the Question

We're given:

[tex]m=-\dfrac{1}{3}[/tex]The lines passes through the point (3,5)

[tex]y=mx+b[/tex]

⇒ Plug the slope into the equation:

[tex]y=-\dfrac{1}{3}x+b[/tex]

⇒ Plug in the given point (3,5) and determine the y-intercept:

[tex]5=-\dfrac{1}{3}(3)+b\\\\5=-1+b\\\\b=6[/tex]

⇒ Plug this back into the equation along with the slope:

[tex]y=-\dfrac{1}{3}x+6[/tex]

Answer

[tex]y=-\dfrac{1}{3}x+6[/tex]

Susie has a rectangular dining room that has an area of 84. What is the area of the largest circular rug Susie can fit in her dining room?

Answers

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

[tex]\pi[/tex]r^2 is the formula for a circle (in this case, a circular rug)
and we would set it equal to 84 (since we are trying to get the biggest size possible).
We would isolate r so that r^2 = 84/[tex]\pi[/tex], and r would be around 5.17219.
If we were going by rounding 5 would be the largest radius possible and the radius would be 25[tex]\pi[/tex] or about 78.5398 units.

Answer:

Rounded to one decimal place, the maximum area circular rug that can fit in the dining room is 38.5 square feet.

Please See the attached screenshot for the exact solutions and answer for this question

Consider: f(x) = One-half(3)x and g(x) = –One-half(3)–x On a coordinate plane, an exponential function f (x) approaches y = 0 in quadrant 2 and increases in quadrant 1. How would the graph be affected from f(x) to g(x)? The output values are reflected across the x-axis, but the input values are the same. The output values are the same, but the input values are reflected across the y-axis. The output values are reflected across the x-axis and the input values are reflected across the y-axis. The output values are the same and the input values are the same.

Answers

Answer:The output values are reflected across the x-axis and the input values are reflected across the y-axis.

Step-by-step explanation:

aye man you gotta believe me ;)

The graph of f(x) is transformed into g(x) by reflecting the output values across the x-axis and reflecting the input values across the y-axis.

We have,

f(x) = (1/2)³x

and, g(x) = -(1/2)³⁻ˣ

In f(x), the coefficient 3 in the exponent represents exponential growth.

Now, g(x) = –One-half(3)–x.

Here, the negative sign changes the sign of the output values, reflecting them across the x-axis. This means that the graph will be flipped upside down.

and, the negative exponent also changes the sign of the input values, reflecting them across the y-axis. This means that the graph will be mirrored across the y-axis.

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Find the numbers of faces, edges, and vertices of the solid.

Answers

Answer:

7 faces15 edges10 vertices

Step-by-step explanation:

This is a counting problem. As with many counting problems, it is helpful to adopt a strategy that helps ensure you count everything only once.

__

Faces

There are two pentagonal faces and 5 rectangular faces for a total of ...

  7 faces

__

Edges

There are 5 edges around each of the pentagonal faces, and 5 edges connecting the top face to the bottom faces, for a total of ...

  15 edges

__

Vertices

There are 5 vertices on the top face, and 5 on the bottom face, for a total of ...

  10 vertices

What is the surface area of each solid pyramid? Round answers to the nearest square unit.

Please explain how to solve the problem, not just the answer.

Answers

Answer:

The total surface area is

57ft^2.

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