2t/t-5 + 1/t-3 = 3 Help..​

Answers

Answer 1

Step-by-step explanation:

Given equation is 2t/(t-5) + 1/(t-3) = 3

=> [2t(t-3)+1(t-5)]/(t-5)(t-3) = 3

=> (2t²-6t+t-5)/(t²-5t-3t+15) = 3

=> (2t²-5t-5)/(t²-8t+15) = 3

=> 2t²-5t-5 = 3(t²-8t+15)

=> 2t²-5t-5 = 3t²-24t+45

=>3t²-24t+45-2t²+5t+5 = 0

=> t²-19t+50 = 0

The standard form is t²-19t+50 = 0


Related Questions

Can someone plss help me with this!!


QUESTION: How do we communicate to a computer and what to put on a web page?

Answers

Answer:

Using the Internet, computers connect and communicate with one another, primarily using the TCP/IP (Transmission Control Protocol / Internet Protocol). Think of TCP/IP as a book of rules, a step-by-step guide that each computer uses to know how to talk to another computer.

what is the final position on the number line "-3," 8, "-4"

Answers

Answer:

1

Step-by-step explanation:

just add the values,,,, i.e,

-3+8-4=1

answer to this math qustion

(52−24)⋅12÷(30+2⋅3)

Answers

Answer:

9[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

(52−24)⋅12 ÷ (30+2⋅3) = 28⋅12 ÷ (30+6)

                                   = 336 ÷ 36

                                   = 9.333333333 = 9[tex]\frac{1}{3}[/tex]

Answer:

9 1/3

Step-by-step explanation:

(52−24)⋅12÷(30+2⋅3)

(28) * 12 / 36

28 * 1/3 = 9 1/3

Spoints
You are stenciling wooden boxes to sell at a fair. Stenciling takes 2 hours for a small box and 3 hours for a large box. Profit for a small box is $10 and $20 for a large box. If
you have no more than 30 hours available to stencil, but want at least 12 boxes to sell, how many of each size box should you sell to maximize your profit? (x = small boxes
and y large boxes)
Solve the problem to fill in the blanks below

Answers

The number of stenciled wooden boxes needed so as to maximize profit is 6 small boxes and 6 large boxes.

Let x represent small boxes  and y represent large boxes.

Since you have no more than 30 hours available to stencil, hence:

2x + 3y ≤ 30

Also, at least 12 boxes are required to sell, hence:

x + y ≥ 12

The solution to this problem gives:

x = 6, y = 6

Hence 6 small boxes and 6 large boxes are needed.

Find out more at: https://brainly.com/question/25285332

Answer:

Step-by-step explanation:

you will multiply the amount of small boxes which will be 12 x 8 = 96


Then the amount of small boxes which will be 17 x 3 = 51

You add them two tg 96+51 = 147

A cube has edge length 11 inches. Just type the number of the answer.
What is the volume?
cubic inches
What is the surface area?
square inches

Answers

Answer:

1331³

..

...................

Please help!!! geometry

Answers

Answer:

17

1234

4567

56783

56743

help please sorry it’s blurry

Answers

Answer:

z = -70

Explanation:

-12.2z-13.4z=1792

-25.6z=1792

Divide both sides by (-25.6)

z = -70

John has 13 boxes of apples. Each box holds 10 apples. Is 6 of the boxes are full, and 7 of the boxes are half full, how many apples does John have?

Answers

Answer:

95 apples

Step-by-step explanation:

given:

John has 13 boxes of apples

each apples can have 10 apples

6 box= full -10 apples

7 box= half full-10÷2=5 apples

•°• John has= (6×10) + (7×5)

= 60+35

=95 apples

95 apples is how much John has !

Using the numbers -5, 9, -2, 11, and -4, and the operations add and subtract, what is the largest possible answer you can make?

Answers

Using those numbers without changing the negative or positivity, I got 9.
11+9=20-5-2-4=9

The largest possible value we can make using subtraction and addition from the given numbers -5, 9, -2, 11, and -4 is 31.

What are subtraction and addition?

A mathematical operation that represents combining objects into a larger collection is called addition.

It is denoted by the plus sign (+).

A mathematical operation that represents the process of finding the difference between numbers is called subtraction.

It is denoted by the minus sign (-).

We have,

-5, 9, -2, 11, and -4

The largest possible value we can get is by using sign multiplication.

[ Negative x Negative = Positive ]

We will use addition and subtraction wherever necessary to make all the numbers positive.

= 9 - ( -5 ) - ( -2 ) + 11 - ( -4 )

= 9 + 5 + 2 + 11 + 4

= 31

Thus the largest possible value we can make using subtraction and addition from the given numbers is 31.

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6 identical bags and 3 identical shirts cost 126. 3 such bags cost as much as 2 shirts. what is the cost of one such shirt ?

Answers

Answer:

18

Step-by-step explanation:

Write the information algebraically:

6b + 3s = 126

3b = 2s

(b = bags, s = shirts)

The second line in bold means that we can replace 6b with 4s

3b = 2s (multiply both sides by 2)

∴ 6b = 4s

so, 4s + 3s + 126

Now simplify:

7s = 126

We can now find s by dividing both sides by 7:

s = 126 ÷ 7 = 18

1 shirt costs 18

Can someone plss help me with this!!


QUESTION: b(a-6)

Answers

ba-6b
is the solution to the problem

Answer:

ba-6b

Step-by-step explanation:

you transfer ba to 6b

A maritime flag is shown what is the area of the shaded part of the flag

Answers

Where is the pic. I don’t see it

1/2 (3g - 2) = g/2 I need help

Answers

Answer:

g = 1

Step-by-step explanation:

1/2 (3g - 2) = g/2

3g - 2 = g

3g = g + 2

3g - g = 2

2g = 2 ÷ 2

g = 1

The range of an ambulance service is a circular region bounded by the equation x^2 + y^2 = 400. A straight road within the service area is represented by y = 3x + 20. Find the length of the road that lies within the range of the ambulance service (round your answer to the nearest hundredth). Recall that the distance formula is [tex]d=\sqrt{x(x2-x1)^2+(y2-y1)^2[/tex]

Answers

The straight road crosses the boundaries of the range of the ambulance service at two points

The length of the road that lies within the range of the ambulance service is approximately 37.95

Reason:

The function that represents the ambulance circular service area is x² + y² = 400

The equation that represents the straight road,  y = 3·x + 20

Required:

Length of the road that lies within the range of he ambulance

Solution:

The length of the road is given by the distance between the intersection

points of the road and the ambulance service region as follows;

At the intercepts, we have;

The x, and y-values of the line and the circle are equal, therefore, we have;

At the intercept, y = 3·x + 20, which gives;

x² + y² = 400

x² + (3·x + 20)² = 400

x² + 9·x² + 120·x + 400 = 400

10·x² + 120·x + 400 - 400 = 0

10·x² + 120·x = 0

x² + 12·x = 0

x² + 12·x = x·(x + 12) = 0

x = 0, or -12

When x = 0, y = 3×0 + 20 = 20

When x = -12, y = 3×(-12) + 20 = -16

The intersection points of the line and the circle are;

A(0, 20), and B(-12, -16)

The length of the segment AB, d, is given as follows;

d = [tex]\sqrt{((-12) - 0)^2 + (-16 - 20)^2} = \sqrt{1440} =12 \cdot \sqrt{10}[/tex]

The length of the road that lies within the range of the ambulance service, d, given to the nearest hundredth = 12·√(10) ≈ 37.95

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The length of a rectangle is 2.5
times its width. The length of
the rectangle is 12 cm. What is
the width of the rectangle?

Answers

Answer:

4.8 cm

Step-by-step explanation:

To find the answer, lets use the information we have. We need to find the width, or w. We know that is 2.5 times smaller than its length, and that the length is 12. So lets make an equation to solve:

12/2.5=w

We did this because we know that the length is 2.5 times bigger than the width, so to find the width we need to go 2.5 times smaller than the length, and the length is 12.

Now solve:

4.8=w

So the width of the rectangle is 4.8 centimeters.

Answer:

width = 4.8 cm

Step-by-step explanation:

let width be w then length = 2.5w

Given length = 12 cm , then

2.5w = 12 ( divide both sides by 2.5 )

w = 4.8

That is width = 4.8 cm

Given: 9yº Simplify the expression for y= 3. (show your work and explain your reasoning.)


the circle is a 0 btw

Answers

The answer you are looking for is 27

Solving Two Step Equations

3 (x +1/3 = 3) 3

Answers

Answer:

add 3 to 3 getting 6 put that over 1 then distribute. 6/1(x+1/3=3)

6x + 2 = 18

now subtract both sides by 2

6x = 16

and divide

x= 16/6

simply by diving by 2

x = 8/3

what is the effect when a number is added or subtracted to the x (in the bracket)of equation of basic parabola?

Answers

When we simply add or subtract a constant to/from the end of a function the effect on the graph is to raise or lower the whole graph by x units. If x is negative, the translation is downward, and if x is positive the translation is upward.

In a car park the ratio of black cars to red cars are 3:4 If there are 12 black cars in the car park how many red cars are there?

Answers

Black cars = 3
12 divided by 3= 4
Red cars = 4x4=16
16 red cars

The relationship between the number of pounds (lb) of beef and the total cost
in dollars is shown in the graph. What is the unit price of beef?
1 lb/$10
$20/2lb
$10/1lb
$1/10lb

Answers

Answer:

C

Step-by-step explanation:

I got it right :)

who plays cold wa?r

Answers

not me lol sorry though

Determine the cost of the two services will be the same amount and what the price will be? The struts family is deciding between two lawn care services green lawn charges a $49 startup fee plus $29 per month the yard guards charges a $25 start up fee plus $37 per month

Answers

Answer:

$136

green lawn

in which expressions with exponents be multiplied ? ill give you brainliest fr. or however you spell it

Answers

Answer:

7^3 x 7^8

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

Solve for g
9+3.5g=11-0.5g

Answers

9 + 3.5g = 11 - 0.5g

Add 0.5g to both sides:
9 + 3.5g + 0.5g = 11 - 0.5g + 0.5g

9 + 4g = 11

Subtract 9 from both sides:
9 - 9 + 4g = 11 - 9
4g = 2

Divide both sides by 4:
4g/4 = 2/4

g = 1/2

>
A restaurant investigated the correlation between prices and the number of customers. The linear model below represents this situation,
where x is the average meal price [in dollars), and y is the number of daily customers. Interpret the slope.
y = 437 – 18.5
OA. The average price per meal is $18.
B. The average number of daily customers is 18.
Oc. If the average meal price decreases by $1, the number of daily customers decreases by 18.
D. If the average meal price increases by $1, the number of daily customers decreases by 18.

Answers

I'm not in highschool but I did the math I think it's 18

Answer:

The Answer is D

Step-by-step explanation:

437-18.5=419.5

find the inverse of the function. f(q)=-9(q+6)^3

Answers

Answer:

[tex]f(q) = y = 9 {(q + 6)}^{3} \\ q = 9 {(y + 6)}^{3} \\ \frac{ \sqrt[3]{q} }{ \sqrt[3]{3} } = y + 6 \\ y = \frac{ \sqrt[3]{q} }{ \sqrt[3]{3} } \frac{ \sqrt[3]{3} }{ \sqrt[3]{3} } - 6 \\ y = \frac{ \sqrt[3]{q} \sqrt[3]{3}}{ {3} } - 6 = {f}^{ - 1} (q)[/tex]

Nick and Charlie were each trying to solve 3x+9=4x−5. Describe the first step they each make to the equation.

Drag and drop the correct response to the space

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

The result of Nick's first step was −x + 9 = −5

1. What was Nick's first step?

The result of Charlie's first step was 9 = x - 5

2. What was Charlie's first step?

Answers

Nick's first step was to subtract 4x from both sides of the equation:

     3x - 4x + 9 = 4x - 4x - 5

             -x + 9 =  - 5

Charlie's first step was to subtract 3x from both sides:

     3x - 3x + 9 = 4x - 3x - 5

                    9 = x - 5

Nick's first step is to bring 4x left and Charlie's is to take 3x right-hand side.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

Given the equation,

3x+9=4x− 5

1. The result of Nick's first step was −x + 9 = −5

So,

3x - 4x + 9 = -5 ⇒ -x + 9 = -5

2. The result of Charlie's first step was 9 = x - 5

3x+9=4x−5

 

9 = 4x - 3x - 5 ⇒ 9 = x - 5

Hence "Nick's first step is to bring 4x left and Charlie's is to take 3x right-hand side".

For more about the equation,

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Varian ride a horse. Gelbin rides a rocket-powered robo-ostrich. Gelbin's ostrich ran 4,828 meters (m) which is 2 times as far as Varian's horse

how far did Varian horse run

Answers

You would do 4828/2 witch would be 2414 the horse ran 2414 meters

simplify 13-2×8+4-(-20)

Answers

Answer:

13 - 2 × 8 + 4 - (-20) = 21

Step-by-step explanation:

I used a calculator, let me know if im incorrect

find the size of an angle which is two third of its complement.​

Answers

Answer:

4

Step-by-step explanation:

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