1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mrrafil [7]
3 years ago
13

Which of the following is the product of the rational expressions shown below?

Mathematics
2 answers:
grandymaker [24]3 years ago
8 0

Answer:

D)

       18

= -----------------

   2x^2 + 3x

Step-by-step explanation:

Cross multiply

       18

= -----------------

    x (2x + 3)

       18

= -----------------

   2x^2 + 3x

Answer is D.

kotykmax [81]3 years ago
3 0

Answer: OPTION D.

Step-by-step explanation:

You have the expressions given in the problem:

\frac{2}{2x+3}*\frac{9}{x}

To find the product of both expression you must multiplicate them.

You must multiply the numerators of both expression and the denominators of both expression.

Keeping the above on mind, you obtain that the product is:

\frac{2*9}{(2x+3)x}

 \frac{18}{2x^{2}+3x}

You might be interested in
What is the solution in interval notation
san4es73 [151]
In interval notation<span>, you write this </span>solution<span> as (–2, 3]. not sure </span>
3 0
3 years ago
Select and use the most direct method to solve 2x(x + 1.5) = -1. Describe and justify the methods you used to solve the quadrati
miskamm [114]

Step-by-step explanation:

Given that,

A quadratic equation,

2x(x + 1.5) = -1

We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as ax^2+bx+c=0.

So,

2x^2+3x=-1\\\\2x^2+3x+1=0

Here, a = 2, b = 3 and c = 1

The roots of the given equation can be given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Putting all the values we get :

x=\dfrac{-b\pm \sqrt{b^2+4ac} }{2a}, \dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-3\pm \sqrt{3^2+4(2)(1)} }{2(2)}, \dfrac{-3\pm \sqrt{3^2-4(2)(1)} }{2(2)}\\\\x=\dfrac{-3+1}{4}, \dfrac{-3-1}{4}\\\\x=-\dfrac{1}{2}, -1

So, the roots of the given equation is -1/2 and -1.

5 0
3 years ago
Solve r = (9–9) for p.
Dmitry_Shevchenko [17]

Answer: u mean r=0

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A container is shaped like a rectangular prism and has a volume of 72 cubic feet. Give four different set of measurements that c
dimaraw [331]

Answer:

The formula for the volume of a prism is V = Bh

where,

B is the base area

h is the height.

Since, the base of the prism is a rectangle, therefore, volume of a rectangular prism = (L * B) * h

Assumptions:

Length, L and Width, B cannot be the same.

1.

h = 4 ft

B = 2 ft

L = 9 ft

2.

h = 4 ft

B = 3 ft

L = 6 ft

3.

h = 6 ft

B = 2 ft

L = 6 ft

4.

h = 2 ft

B = 2 ft

L = 18 ft

Step-by-step explanation:

6 0
2 years ago
In Triangle XYZ, measure of angle X = 49° , XY = 18°, and
marissa [1.9K]

Answer:

There are two choices for angle Y: Y \approx 54.987^{\circ} for XZ \approx 15.193, Y \approx 27.008^{\circ} for XZ \approx 8.424.

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X (1)

If we know that X = 49^{\circ}, XY = 18 and YZ = 14, then we have the following second order polynomial:

14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}

XZ^{2}-23.618\cdot XZ +128 = 0 (2)

By the Quadratic Formula we have the following result:

XZ \approx 15.193\,\lor\,XZ \approx 8.424

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y

\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}

Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)

1) XZ \approx 15.193

Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]

Y \approx 54.987^{\circ}

2) XZ \approx 8.424

Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]

Y \approx 27.008^{\circ}

There are two choices for angle Y: Y \approx 54.987^{\circ} for XZ \approx 15.193, Y \approx 27.008^{\circ} for XZ \approx 8.424.

6 0
3 years ago
Other questions:
  • What is the wavelength for radio waves with frequency 3 × 10^9?
    12·1 answer
  • Evaluate 2r(t+8) if r=3 and t=5
    12·1 answer
  • How many times does 56 go into 432
    9·1 answer
  • ABc bookstore sells magazines according to the demand function p= -Q + 42, where p is the price
    13·1 answer
  • Of the volunteers coming into a blood center, 1 in 3 have O+ blood, 1 in 15 have O-, 1 in 3 have A+, and 1 in 16 have A-. The na
    14·1 answer
  • What is 67.24 in simple form
    14·1 answer
  • Rectangle PQRS is rotated 90° clockwise about the origin. On a coordinate plane, rectangle P Q R S has points (negative 3, negat
    6·2 answers
  • Which of the following sets of numbers could not represent the three sides of a
    8·1 answer
  • A bee flies at 6ft per second directly towards a flowerbed from its hive. the bee stays at the flowerbed for 20 minutes, and the
    13·1 answer
  • Evaluate P + Q if possible.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!