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
miv72 [106K]
3 years ago
14

Write an expression to represent: Four less than the quotient of a number x and 5.

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

(x/5) - 4

Step-by-step explanation:

You want four less than the quotient of x and 5 so you make x/5 a single term. Then subtract 4

You might be interested in
Write the polynomial in factored form as a product of linear factors f(r)=r^3-9r^2+17r-9
adelina 88 [10]

Answer:

  f(r) = (x -1)(x -4+√7)(x -4-√7)

Step-by-step explanation:

The signs of the terms are + - + -. There are 3 changes in sign, so Descartes' rule of signs tells you there are 3 or 1 positive real roots.

The rational roots, if any, will be factors of 9, the constant term. The sum of coefficients is 1 -9 +17 -9 = 0, so you know that r=1 is one solution to f(r) = 0. That means (r -1) is a factor of the function.

Using polynomial long division, synthetic division (2nd attachment), or other means, you can find the remaining quadratic factor to be r^2 -8r +9. The roots of this can be found by various means, including completing the square:

  r^2 -8r +9 = (r^2 -8r +16) +9 -16 = (r -4)^2 -7

This is zero when ...

  (r -4)^2 = 7

  r -4 = ±√7

  r = 4±√7

Now, we know the zeros are {1, 4+√7, 4-√7), so we can write the linear factorization as ...

  f(r) = (r -1)(r -4 -√7)(r -4 +√7)

_____

<em>Comment on the graph</em>

I like to find the roots of higher-degree polynomials using a graphing calculator. The red curve is the cubic. Its only rational root is r=1. By dividing the function by the known factor, we have a quadratic. The graphing calculator shows its vertex, so we know immediately what the vertex form of the quadratic factor is. The linear factors are easily found from that, as we show above. (This is the "other means" we used to find the quadratic roots.)

7 0
3 years ago
The density of a certain material is such that it weighs 4 kilograms per cup of volume. Express this density in pounds per liter
777dan777 [17]

Answer: The answer is 8.8 pounds per litre. I just helped you, what’s your name and how are you? Mines is very good. :)

Step-by-step explanation:

6 0
2 years ago
What is the value of x ? A. 4<br> B. 8 <br> C. 12<br> D. 16
Softa [21]
Your answer should be 8
3 0
2 years ago
Read 2 more answers
Item 15 A cube has an edge length of 5 inches. You triple the side lengths. How many times greater is the volume of the new cube
Inga [223]
The answer to this is 3,250 inches cubed
6 0
3 years ago
What is 5/8 as a percentage
dedylja [7]

Answer:

62.5%

Step-by-step explanation:

ask me if you have any questions

4 0
2 years ago
Other questions:
  • A cylindrical oil from has a diameter of 2ft and a height of 3 feet. What is the volume of the oil drum?
    8·1 answer
  • Question 5 of 24
    14·1 answer
  • A recipe requires 1/4 lb of onions to make 3 servings of soup. Mark has 1 1/2 lb of onions. how many servings can mark make?
    10·1 answer
  • Tom buys a pen holder for $5 and 10 pens for $1 each. The sales tax for the whole purchase is $3.
    15·2 answers
  • Molly loves making chicken nuggets. She makes 4 1⁄2 servings. Molly
    14·1 answer
  • James made a deposit in a savings account 5 years ago. The account pays 4% simple annual interest. Since then, he has earned $12
    5·1 answer
  • Marketing estimates that a new instrument for the analysis of soil samples will be very successful, moderately successful, or un
    11·1 answer
  • What is the answer to 7x+3 (4x-8)=109
    14·1 answer
  • Make w the subject of aw-x=3w+2
    9·1 answer
  • Solve for h .<br><br> -98 = -7 h<br><br> h =
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!