apply appropriate methods in solving rationalequations and inequalities.​

Answers

Answer 1
To solve an equation involving rational functions, we cross multiply the numerators and denominators. Then we move all our terms to one side. Then we use our algebra skills to solve. To solve an inequality involving rational functions, we set our numerator and denominator to 0 and solve them separately

Related Questions

The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.

Answers

Answer:

44 and 46

Step-by-step explanation:

Let the integers be:

n and n + 2

Then we have:

n + n + 2 = 3(n + 2) - 48

Solving for n:

2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44

So the numbers are 44 and 46

A balloon that has a volume of 72 cubic centimeters is deflating at a rate of 4 cubic cm every 5 seconds. At this rate, how long will it take for all 72 cubic cm to deflate?

Answers

Answer: 90 seconds or 1 min. and 30 sec.

Step-by-step explanation:

72/4=18

18x5=90

Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.

Hi please answer urgently

Answers

Answer:

5+6=11

So,the probability to get 11 is 5+6

Step-by-step explanation:

Answer:

5 + 6 = 11

Step-by-step explanation:

a dice contains 6 numbers

1, 2, 3, 4, 5 and 6

Peter rolls 2 fair dice and adds the results from each.

So, 5 + 6 = 11

in fraction = 2/11

-TheUnknownScientist

Alguém pode me ajudar por favor???????????

Answers

Es el tercedo, porque lo ese

Answer:

The asnwer is the first one

Step-by-step explanation:

thx for the poins

Ali is cutting a pizza into serving sized sections he uses a long knife to be sure that the cuts he makes in the pizza are straight which statements are true select all that apply

Answers

Answer:

1. Ali makes three straight long cuts along the diameter of the pizza.

2. Ali makes two straight long cuts along the diameter of the pizza.

Step-by-step explanation:

Each serving size in a pizza contains consistent weight but the fraction of the pie can change depending upon the size of the pizza., size of crust, toppings, etc.

The pizza can be cut into different pie section depending upon the size of the pizza. One-sixth or one-fifth is the most common pie sections.

Ali uses a long knife to cut the pizza in a straight line. He must cut the pizza in to 8 pieces or 4 pieces so that he can be sure that the pizzas are cut in a straight line.

For 8 pieces of pizza, Ali has to make three straight long cuts across three diameters of the pizza and for 4 pieces, Ali has to make two straight long cut along the diameters.

Martina took a math test and answered 17 out of 20 questions correctly. What percent of the questions did Martina answer correctly?

Answers

Answer:

85%

Step-by-step explanation:

Which of the following can be used to find the measure of angle C, angle D, and ankle E?

A-Pythagorean Theorem

B-Triangle Sum Theorem

C-Isosceles Triangle Theorem

D-AAA Postulate Theorem

Answers

The correct answer is B

what is the equation for the line in slope intercept form plz help ASAP

Answers

Answer:

y = - 4x + 5

Step-by-step explanation:

y = mx + b

(0, b) y-intercept

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~

( - 2, 13)

(0, 5) <----- y-intercept

(3, - 7)

(4, - 11)

m = [tex]\frac{-11+7}{4-3}[/tex] = - 4

y = - 4x + 5

help please will mark brainliest

Answers

Answer:

1.) 20z^5

2.) 8m^5 · 6p^7 · 3mp^0

Step-by-step explanation:

4z^3 · z^2 · 5z

first, multiply 4z · 1z = 4z and add the exponents 3 + 2 = 5

4z^5 · 5z

multiply 4z · 5z and keep the exponents

20z^5

2m^3p^4 · 4m^2p^3 · 3mp^0

find just the "m" variables: 2m^3 · 4m^2 and same as before multiply then add the exponents = 8m^5

now do the same for the "p" variables: 3p^4 · 2p^3 = 6p^7

and for the "mp" variable: 3mp^0

put it all together and this is the simplest form because we don;t know the values of the variables:

8m^5 · 6p^7 · 3mp^0

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

y = (x + 1)(x - 2)
Distribution

Answers

You have to use FOIL (First, Outer, Inner, Last) so it would be y= x^2 -2x + x -2 then combine like terms you get y= x^2 (x squared) -x -2. Hope this helps!!

Can someone explain how you solve proofs?

Answers

Answer:

Yeahh

Step-by-step explanation:

Write the statement in one side and give the reasons on other side.

And then proof it by accurate reason

67,132 divided by 7= ?
Round your answer to the nearest tenth.

Answers

Answer:

DONE!

Step-by-step explanation:

67132/7 = 9590.28571429

Rounded to the nearest tenth: 9590.3

Answer:

9590.3

Step-by-step explanation:

finally got to answer lol

An adult female gorilla is 1.4 meters tall when standing upright. Her daughter is 3 tenths as tall. How much more will the young female gorilla need to grow before she is as tall as her mother?

Answers

Answer:

0.98 meters

Step-by-step explanation:

Since she is three-tenths as tall as her mother, she is 0.42 meters tall (1.4 × 0.3 = 0.42). That means she has to grow 0.98 meters to be 1.4 meters tall.

What is the least common multiple (LCM) of 3 and 5?

Answers

Answer:

the lcm of 3 and 5 is 15 I hope this helps

Step-by-step explanation:

Original Price = $ 20, % Markup = 15%

Answers

Answer:

23 dollars

Step-by-step explanation:

so to figure out how much more you grab 20 and multiply by .15 as percent and you will get 3 dollars more so 23


If (p, q) is the solution to the system of equations, what is the value of q?

−16p − 2q = 100
p − 4q = 200

A) 0
B) −10
C) −25
D) −50

Answers

Answer:

1

Step-by-step explanation:

graph an equation on the line passing through point P(0, 0) that is perpendicular to the line when y = −9x−1

Answers

the opposite of y=(-9/1)x-1 is y=(9/1)x+1

Determine if the following relation is a function, and explain why.
41
3+
2
1
AT
-32
1
0
1
-1
2 3
-2
-31

Answers

Answer:

I have no idea butter needed points im sorryyy


Determine the slope of each equation below:
y = 3x -8
y-4 = [(x + 5)
12x + 2y = 18

Answers

Answer:

1 = 3

2 = 1 ( I assumed the equation is y-4 = [(x+5)]

3 = -6

Step-by-step explanation:

The vertices of a triangle are A (-2, 2), B (4,10), and C (0, -2). Find the equation of the line that contains
the median through point


The equation of the line is y =________

Answers

Answer:

y = 1/2 x + 3

Step-by-step explanation:

mid point of line BC = (2, 4)

slope of the line containing median (m) = 1/2

y intercept (b)= 3

since y = mx + b

y = 1/2x + 3

The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.

What is a Median ?

A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.

The median of an equilateral triangle also an angular bisector.

Given that,

The coordinates of A = (-2, 2)

The coordinates of B = (4, 10)

The coordinates of C = (0,-2)

Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).

Now, to find the equation of median through A there are two points (-2,2) and (2,4).

Thus the equation of median an be written as,

(y-2)/(x+2) = (4-2)/(2-(-2))

=> y - 2 = 1/2(x+2)

=> y = 1/2(x+2) + 2

=> y = 1/2 x + 3

Hence, the equation of the line is y = 1/2 x + 3.

To know more about Median click on,

https://brainly.com/question/2272632

#SPJ2

Help tell me which one is supposed to go with which. Answer as quick as possible

Answers

Answer:

(-7,5)

Step-by-step explanation:

Have a Great Dayy

Si el ∡P y el ∡Q son ángulos alternos internos, y la medida de un ángulo suplementario a uno de ellos mide 135° ,¿cuánto miden el ∡P y el ∡Q respectivamente?

Answers

Answer:

so sorry

Step-by-step explanation:

wish I could help but I don't know how to do it

What is the perimeter of the
figure below?
2 in
9 in
2 in
11 in

Answers

What figure are you talking about?

Solve : 4(4p+6)=16 find the value of p

Answers

Answer:

p=-1/2

Step-by-step explanation:

4(4p+6)=16

4p+6=4

4p=4-6

4p=-2

P=-2/4

p=-1/2

Find the measure of each numbered angle.?

please show work and I'll give bonus points I rlly need the answers​

Answers

Answer:

8. 95°

9. 85°

10. 49°

11. 53°

Step-by-step explanation:

8) m + 28° + 57° = 180°

m = 180°–28°–57°

m = 95°

9) m∆4 + m∆5 = 180°

95° + m∆5=180°

m∆5 = 180°–95°

m∆5 = 85°

10) 180°–36°–95°=49°

11) 180°–42°–85°=53°

soo uh who's good at math i mean really,if you plz tell me everything about it i just wanna get this over with
(I'm dumb btw)​

Answers

Answer:

Your not dumb you probably just don't learn as fast as other people tell me what u need help on and ill try to explain it to u : )

Step-by-step explanation:

your not dumb lol don’t think like that

What's the square root of 17 rounded to the nearest tenth

Answers

Answer:

4.0

Step-by-step explanation:

Answer:

4.1

Step-by-step explanation:

4.1231056 is [tex]\sqrt{17}[/tex]

When rounding to the nearest tenth, we get

4.1

Hope I helped,

PumpkinSpice1

A cylindrical can, open at the top, is to hold 200 cm3 of liquid. Find the height and radius that minimizes the amount of material needed to manufacture the can.

Answers

Answer:

h = 5.42

r = 5.42

Step-by-step explanation:

Find h with respect to r:

V = πr²h = 500

h = 500/πr²

Plug this into the surface area equation:

SA = πr² + 2πrh

= πr² + 2πr(500/πr²)

= πr² + 1000/r

Differentiate and set to 0, solve for r:

dSA/dr = 2πr - 1000/r² = 0

2πr = 1000/r²

r³ = 500/π

r = (500/π)^1/3

≈ 5.42 cm

find h:

h = 500/πr²

= 500/[π(5.42)²]

= 5.42cm

Please help!!!

Explain and correct the error in this calculation.

Answers

Answer:

for more math help use the app called connects

1. Given: 3(m-2) + 14 = 38
Prove: m= 10
please help it’s a proof

Answers

Answer:

It is 10 (m=10)

Step-by-step explanation:

3 (10-2) + 14                  Subtract whats in the parentheses

3 (8) + 14                        Multiply 3 and 8

24 + 14                             Add the remaining to get the sum ( 24 + 14 )

38           (Your total)

~~~Hope this helps~~~

I think their right.
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