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
marishachu [46]
3 years ago
6

Solve the equation algebraically. Support your answer numerically and identify any extraneous solution

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

1/x - 2/(x-3) = 4

multiply each side by x*(x-3)

x*(x-3)(1/x - 2/(x-3)) = 4*x*(x-3)

distribute

x*(x-3)(1/x) - 2/(x-3))x*(x-3) = 4*x*(x-3)

cancel

(x-3) - 2*x = 4x(x-3)

distribute

x-3-2x = 4x^2-12x

combine like terms

-x-3 = 4x^2 -12x

add x+3 to each side

0 = 4x^2 -12x+x+3

0 = 4x^2 -11x+3

using the quadratic formula

x= 11/8 - sqrt (73)/8

x=11/8 + sqrt (73)/8

You might be interested in
Madeline usually makes 85% of her shots in basketball. If she attempts 20, how many will she likely make?
cestrela7 [59]
20 x 85% = 17. She should make 17 shots.
7 0
3 years ago
What is the volume of the rectangular prism?
Nana76 [90]

Answer:

A or 57 7/9ft3

Step-by-step explanation:

13/3x10/3x4/1 = 520/9=57 7/9

8 0
2 years ago
Read 2 more answers
Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards o
aksik [14]

Answer:

Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5

Step-by-step explanation:

Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why?

Representing the above expression Mathematically

3/4 yard = 1 scarf

1 4/5 yards of fabric = x

Cross Multiply

3/4x = 1 4/5 × 1

x = 9/5/ 3/4

x = 9/5 ÷ 3/4

x = 9/5 × 4/3

x = 12/5 scarves

x = 2 2/5 scarves

Hence, the correct option is :

Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5

6 0
3 years ago
Read 2 more answers
Find slope of given two points <br> (-14,3) (7,-9)
Vesna [10]

Answer:

5/4

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(-9 + 14) / (7 - 3)

5/4

6 0
3 years ago
13. A square based cuboid has a width of 4cm. If the volume of the cuboid is 400 cubic
dsp73

Answer:

216 cm²

Step-by-step explanation:

Applying,

V = lwh..................... Equation 1

Where V = volume of the cubiod, l = length of the base, width of the base, h = heigth of the cubiod.

From the question,

Since the base of the cubiod is squared,

Therefore,

w = l = 4 cm, V = 400 cm³

Substitute these values into equation 1

400 = 4×4×h

h = 400/(4×4)

h = 25 cm

A = lw+lh+wh.................. Equation 1

Where A = surface area of the cuboid.

Given: l = 4 cm. w = 4 cm, h = 25 cm

Substitute these values into equation 1

A = (4×4)+(4×25)+(4×25)

A = 16+100+100

A = 216 cm²

4 0
3 years ago
Other questions:
  • What is the value of x in the triangle?
    9·2 answers
  • I need help on this.
    5·2 answers
  • B is the midpoint of AC, D is the midpoint of CE , and AE = 23. Find BD.
    12·1 answer
  • Carrie is driving to a friend’s house for the weekend. The friend lives in a town 160 mi. away. So far, Carrie has driven 64 mi.
    5·1 answer
  • I need help! Can anyone help?
    5·1 answer
  • Please help, please no links or websites
    13·1 answer
  • 6.Zena needs a salesperson. Sales person anyway is offering his services for an initial $50 in addition to $5 per hour. Sales pe
    8·1 answer
  • Can someone step by step show me how to solve -18+M=36? I need to move the variable but I don't know how.
    5·1 answer
  • How do I graph y= 5/6x+1
    6·1 answer
  • HELP PLEASE!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!