Can someone please provide an example problem showing multiplying and dividing rational expressions? I'm trying to get ready for a DBA tomorrow. Thank you!

Answers

Answer 1
I hope this helps... good luck
Can Someone Please Provide An Example Problem Showing Multiplying And Dividing Rational Expressions?
Answer 2

Step-by-step explanation:

To multiply rational expressions, simply multiply the numerators together (the tops) and the denominators together (the bottoms).

For example:

[tex]\frac{x+a}{y+b}\times\frac{x+c}{y+d}[/tex]

[tex]= \frac{(x+a)(x+c)}{(y+b)(y+d)}[/tex]

[tex]=\frac{x^{2}+ax+cx+ac}{y^{2}+by+dy+bd}[/tex]

To divide by a rational expression, multiply by its reciprocal.  In other words, flip the fraction, then multiply.

For example:

[tex]\frac{x+a}{y+b}\div\frac{x+c}{y+d}[/tex]

[tex]=\frac{x+a}{y+b}\times\frac{y+d}{x+c}[/tex]

[tex]=\frac{(x+a)(y+d)}{(x+c)(y+b)}[/tex]

[tex]=\frac{xy+dx+ay+ad}{xy+bx+cy+bc}[/tex]


Related Questions

Find equation of the line.

Answers

Answer:

-1+9

Step-by-step explanation:

-1 divide by -1 =1

so the answer is -1+9

I hope that helped and can you do my answer as a Brainliest PLEASE

If it helped don't forget to thanks

Which table shows exponential decay? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 128, 8, 4. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 12, 9, 7. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 3, 1.

Answers

Answer:

The first table; the first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.

Step-by-step explanation:

Exponential decay means that the graph or table is exponentially decreasing. Meaning, if you went from point 4 to 1, you would see an exponential increase. Other tables show other forms of functions, such as quadratic, or linear. To find out which rate it is decaying by, ask yourself, at 0, what is the y output? You can then divide the output of 0 by 1, and so on. If it is decaying at a consistent rate, then you know it is exponential. If you do not need to divide, but know it is decaying at a rate of two, it is linear. If it does not divide the first time smoothly, it is quadratic. It could also be a number of things.

I hope this helps you. We studied this quite a while ago, and I do not remember the equation at the tip of my tongue, and I do not want to give you wrong information. Have a great rest of your day!

Answer:

the 1s options

1 16

2 8

3 4

4 2

Step-by-step explanation:

Find the slope of a line parallel to each given line and graph.

y=9x+5

Answers

Answer:

9

Step-by-step explanation:

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 9x+5

The slope is 9

Parallel lines have the same slope so a line parallel would have a slope of 9

Answer:

i think the slope is 9.

because y= 9x+5 is in the form of slope intercept form.

as y=mx + c (where m is the slope of the equation.)

therefore, the slope (m )= 9....ans

hope it helps....

Can someone help me with this question please?

Answers

Answer:

a.) (0,4) b.) (-4,0)

Step-by-step explanation:

a.) Let x=0 and solve for y: y=0+4=4. Since we let x=0 the first number will be 0 and we found y to be 4, so our coordinates are (0,4)

b.) Let y=0 and solve for x: 0=x+4, x=-4. Since x=-4 our first number is -4, since y is 0 our second number is 0, so our coordinates are (-4,0)

Hope this helps!

i need help from uh all..​

Answers

Answer:

Step-by-step explanation:

Given expression is,

[tex]\text{cot}A=\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})[/tex]

To prove this identity we will take the right side of the identity,

[tex]\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})=\frac{1}{2}(\frac{1}{\text{tan}\frac{A}{2}}-tan\frac{A}{2})[/tex]

                         [tex]=\frac{1}{2}(\frac{1-\text{tan}^2\frac{A}{2}}{tan\frac{A}{2}})[/tex]

                         [tex]=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}][/tex]

                         [tex]=\frac{1}{2}(\frac{2}{\text{tan}A} )[/tex] [Since [tex]\text{tan}A=\frac{2\text{tan}\frac{A}{2}}{1-\text{tan}^2\frac{A}{2}}[/tex]]

                         = cot A

Hence right side of the equation is equal to the left side of the equation.

Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the boat overturned and the crew sent out a distress call. They estimated that they were 12 miles away from the nearest harbor, which is 28 miles north of the port they had set sail from. If a rescue team leaves from the harbor, find all possible courses the team must follow in order to reach the overturned sailboat.

Answers

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

[tex] \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} [/tex]

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

[tex] \frac{a}{sinA} = \frac{b}{sinB} [/tex]

[tex] \frac{28}{sinA} = \frac{12}{sin25} [/tex]

Cross multiply:

[tex] 28 sin25 = 12 sinA [/tex]

[tex] 11.83 = 12 sinA [/tex]

[tex] Sin A = \frac{11.83}{12} [/tex]

[tex] Sin A = 0.986 [/tex]

[tex]A = sin^-^1(0.986)[/tex]

[tex] A = 80.44 degrees [/tex]

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

Which system below has no solution? y = 4x and y = 2x - 3 y = -4x and y = 2x - 3 y = -4x and y = 2x + 3 y = -4-x and y = 2x - 3

Answers

Answer:

y=4x

Step-by-step explanation:

this is because all other systems are defined and can be solved simultaneously...

pls lime and follow me ...i follow back...thanks

Please please help!!! Study the diagram of circle Z. Points P, O, Q, and R lie on circle Z in such a way that OP¯¯¯¯¯¯¯¯≅QR¯¯¯¯¯¯¯¯. If m∠QZR=(2x+9)∘ and m∠PZO=(4x−11)∘, what is the value of x?

x=3.3
x=15.3
x=10
x=12

Answers

Answer:

The correct option is

x = 10

Step-by-step explanation:

in a circle Given that chord  [tex]\overline {OP}[/tex] is congruent to  [tex]\overline {QR}[/tex], we have;

Measured angle m∠RZQ is congruent to measured angle m∠PZO

Congruent chords are subtended by congruent angles at the center of the circle

Therefore we have;

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°.

Answer:

x=10

Step-by-step explanation:

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°

what is the slope of the line that contains these points (-2 2) and (3 3)

Answers

Answer:

             [tex]\bold{m=\dfrac15}[/tex]

Step-by-step explanation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-2,\,2)\ \implies\ x_1=-2\,,\ y_1=2\\(3,\,3)\ \implies\ x_2=3\,,\ y_2=3\\\\m=\dfrac{3-2}{3-(-2)}=\dfrac{1}{3+2}=\dfrac15[/tex]

What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)?

Answers

Answer:

Step-by-step explanation:

(8-0)/(2+2)= 8/4= 2

y - 0 = 2(x + 2)

y = 2x + 4

Please answer this question now in two minutes

Answers

88 degrees because the two figures are congruent.

Answer:

67 degrees.

Step-by-step explanation:

The two quadrilaterals are congruent, with angle T corresponding to angle F, angle U corresponding to angle C, angle V corresponding to angle D, and angle W corresponding to angle E.

A quadrilateral's interior angles add to be 360 degrees.

x + 138 + 67 + 88 = 360

x + 293 = 360

x = 67

So, angle D is 67 degrees.

Hope this helps!

In the diagram below, AB is parallel to CD. What is the value of x?

Answers

Answer:

A. 120 degrees.

Step-by-step explanation:

The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.

Hope this helps!


A line contains the point (8,-5). If the slope of the line is write the equation of the line using point-slope form

Answers

Answer:

             [tex]\bold{y+5=\frac57(x-8)}[/tex]

Step-by-step explanation:

[tex]y-y_1=m(x-x_1)[/tex]      - point-slope form of Equation of the Line

[tex](8,-5)\ \ \implies x_1=8\,,\ y_1=-5\\\\m=\frac57\\\\equation:\\{}\qquad\qquad y-(-5)=\frac57(x-8)\\\\{}\qquad\qquad y+5=\frac57(x-8)[/tex]

Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

[tex](u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)[/tex]

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

[tex](u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)[/tex]

Adding (1) and (2) to solve for u and v:

[tex]2u = 2240\\\Rightarrow u = 1120\ km/h[/tex]

Putting u in (1):

[tex]1120-u=940\\\Rightarrow u = 180\ km/h[/tex]

So, the answers are:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Find the area of this triangle..

Answers

Answer:

Step-by-step explanation:

For this problem, we have to use Heron's Formula.

S= (a + b + c)

     over 2

And then  √S( S-a) (S-b) (S-c)

That's the formula, now to plug in the numbers.

S= 12+12+21.2

      over 2

that equals 45.2/ 2= 22.6'

Now we found s, so we can plug in the second step of the formula...

√22.6 ( 22.6 - 12 ) ( 22.6 - 12 ) ( 22.6 - 21.2 )

This equals √ 22.6 (10.6) (10.6) (1.4)

and that equals...

59.624411 = or rounded it up to 60.

59.624411 or round it up to 60

3
8
9
10
TIMEI
01:
C D
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
2 + 7c-4c2 – 30 + 4
4c2 + 4c + 6
-7c2 + 10C + 6
O4c2 + 4C + 8
0-7c2 + 70 +6

Answers

Answer:

A. -4c^2+4c+6

Step-by-step explanation:

2+7c-4c^2-3c+4

-4c^2+7c-3c+4+2

-4c^2+4c+6

change S25°W to a three digit bearing

Answers

Answer:

the answer is s025w

Step-by-step explanation:

simply add zero to the front to make it a three digit bearing

what is the measure of x? 68 degrees 70 degrees ​

Answers

Answer:

x = 138°

Step-by-step explanation:

Since the sum of all angles in a triangle is 180°, we find ∠BAC:

m∠BAC = 180 - (68 + 70) = 42°

Since ∠x and ∠BAC are Supplementary Angles, they add up to 180°:

180 - 42 = x

x = 138°

Answer:

138

Step-by-step explanation:

1. 68 + 70 = 138

2. 180 - 38 = 42

3. 180 - 42 = 138

4. X = 138

Draw a circle with center A and a radius of your choice. Create three well-spaced points, B, C, and D, on the circle in clockwise alphabetical order. Draw two radii, AB and AC , and draw two chords, DB and DC . Measure and record m∠CAB and m∠CDB. Take a screenshot of your diagram with the measurements, and paste it below.

Answers

Answer:

Please find attached the required circle

It is observed that the angle subtended by the arc CB which are m∠CAB and m∠CDB is such that the angle arc CB subtends at the center,  m∠CAB is two times the angle that the arc CB subtends at the circumference

The measured angle subtended by the arc CB at the center m∠CAB = 64° and the measured angle subtended by the arc CB at the circumference m∠CDB = 32°

Step-by-step explanation:

T

Answer:

from edmentum

Step-by-step explanation:

Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 24 square feet and no bigger than 48 square feet. If the length is 2 feet more than the width, what are the range of possible values for the width?

Answers

Answer: 6 feet to 8 feet

Step-by-step explanation: 6x4=24 8x6=48

6x4=24, and 6x8=48
Possible range: 4,6,and 8 .
Hope it helped

A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (4, 3). Fill in the blank to find the y-intercept.

Answers

Answer:

The y - intercept is (0, 4)

Step-by-step explanation:

The equation x + 4y = 8 is in 'standard form.'  Any line parallel to this line has an equation that looks exactly the same EXCEPT for the constant.

So, let's write out x + 4y = 8 and replace the 8 with C.

x + 4y = C

Now take the coordinates of the given point (4, 3) and substitute them into the above equation:  4 + 4(3) = C = 16

Thus, the equation of the line passing through (4, 3) is x + 4y = 16.

To find the y-intercept, set x = 0 and calculate y:

0 + 4y = 16, or y = 4

The y - intercept is (0, 4)

There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 reds?

Answers

Answer:

2/7

Altogether there're 7 marbles. Let,probability of getting blue and red marbles be 'B' and 'R' respectively.

In 1st pick

Probability of getting red marble is 4/7

So, there's the probability that the ball in 1st pick may be either blue or red.

So,if the marble is red then we've to eliminate that red marble ( cause,question says so)

Then,in 2nd pick

Probability of getting red ball will be 3/6(if we eliminate that red ball then the total number of marbles will also be 6)

Now,

Probability of getting two red will be

(4/7)×(3/6)

=2/7

It would be more easier to do by tree diagram. Since,I didn't find it convenient here,it may be not so much helpful.But, I tried my best. Hope you are clarified.

PLEASE PLEASE PLEASE LOOK AT THIS & HELP ME

Answers

Answer:

(4, - 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ) , thus

(5, 4 ) → (4, - 5 )

Answer:

(4,-5)

Step-by-step explanation:

Definition : Rotate around  the origin 270 degrees. ' Since the rule for a 270 degrees rotation is (x, y) --------> (y, -x)

P(5,4) the mage is x=4, y=-5

Please help me!

30g of cornflakes contain 2.5g of fat
How many grams of fat are there in 566g of cornflakes?
Give your answer to 1 dp

Answers

Answer:

47 .2 Grams 0f Fat

Step-by-step explanation:

[tex]30g ----> 2.5g -fat\\566g ----> xg -fat\\30x = 1415\\\frac{30x}{30} =\frac{1415}{30} \\\\x = 47.1666\\\\x = 47.2g of Fat[/tex]

Question 4 A family has two cars. The first car has a fuel efficiency of miles per gallon of gas and the second has a fuel efficiency of miles per gallon of gas. During one particular week, the two cars went a combined total of miles, for a total gas consumption of gallons. How many gallons were consumed by each of the two cars that week

Answers

Complete question is;

A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1850 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

Answer:

Car 1 consumed 30 gallons of gas.

Car 2 consumed 20 gallons of gas.

Step-by-step explanation:

Let x be number gallons consumed by car 1

Let y be number of gallons consumed by car 2

We are told that total gas consumption of 50 gallons. Thus;

x + y = 50 - - - - - eq(1)

We are told that the first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas and they went a combined total of 1850 miles. Thus;

35x + 40y = 1850 - - - - eq2

Let's make y the subject in eq(1),

y = 50 - x - - - - eq(3)

Putting 50 - x for y in eq 2 gives;

35x + 40(50-x) = 1850

35x + 2000 - 40x = 1850

-5x + 2000 = 1850

-5x = -150

x = 150/5

x = 30 gallons

Substitute 30 for x into eq 3,we have;

y = 50 - 30

y = 20 gallons

Thus;

Car 1 consumed 30 gallons of gas.

Car 2 consumed 20 gallons of gas.

are the triangles similar? ​

Answers

Answer:

Yes.

Step-by-step explanation:

The angles of the triangles add up to be 180. 180 - 114 - 31 = 35. 180-114-35 = 31. Since the angles of the triangles correspond and are congruent, the triangles are similar, with PQR corresponding to TUS.

Hope this helps !

I need to find the derivative of d). Can someone please fine y’ please.

Answers

Answer:

  = -2x/ ( x^2+5) ^2

Step-by-step explanation:

y = 1/ ( x^2 +5)

y = ( x^2+5) ^ -1

dy/dx = -1 * (x^2 + 5) ^-2  * d/dx  (x^2 + 5)

          -1 * (x^2 + 5) ^-2  * 2x

           = -2x/ ( x^2+5) ^2

Is 2+4x-5x^2 in standard form?!

Answers

Answer:

y=-5x^2+4x+2

Step-by-step explanation:

Answer:

-5x² + 4x + 2

Step-by-step explanation:

Standard Form: ax² + bx + c

All you need to do is rearrange to have the highest degree first.

Dave ran 3.52 miles in the same time
that Eric ran 2.44 miles. How much
further did Dave run than Eric?

Answers

Subtract 3.52 - 2.44= 1.08 miles

what is the estimate difference between 2.97 1 2/11​

Answers

Answer:

2

Step-by-step explanation:

Estimate 1 2/11 to 1.

Estimate 2.97 to 3.

3 - 1 = 2

Answer:

B

Explanation

I took the quiz

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