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
mart [117]
3 years ago
5

Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?

Mathematics
2 answers:
RoseWind [281]3 years ago
5 0
<span><span>1. <span>x =(8-√76)/2=4-√ 19 = -0.359 </span> </span><span> <span>
2. x =(8+√76)/2=4+√ 19 = 8.359 </span> </span></span>
uysha [10]3 years ago
3 0

(-0.359, 8.359) will be the solution set.

Step-by-step explanation:

The given equation is x² - 8x - 3 = 0

We have to get the solution set for the equation.

We will apply the quadratic formula to get the solution.

x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}=\frac{8\pm \sqrt{64+4\times 3}}{2}=\frac{8\pm \sqrt{64+12}}{2}=\frac{8\pm \sqrt{76}}{2}=\frac{8\pm 2\sqrt{19}}{2}=4\pm \sqrt{19}

Therefore solution set of the equation will be

(-0.359, 8.359)

You might be interested in
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t
Viefleur [7K]

Each term differs by -68 and the first term is -68, we have:

a_{n}=a_1-68(n-1) \implies \\ a_{n}=a_1-68n+68 \implies\\ a_n=-68-68n+68 \implies \\ a_n=-68n

As an expession it's just -68n.

6 0
3 years ago
Which operation is NOT closed for polynomials?
MAXImum [283]

Answer:

  • Option D

Step-by-step explanation:

When you add, multiply or subtract polynomials, the operation results in another polynomial.

When dividing polynomials, the operation may not result in another polynomial. In this case you normally end up with rational expression in the fraction form.

This operation is said not closed.

In our case this is option D.

4 0
2 years ago
Read 2 more answers
Helppppp mee plz i neeed help
Butoxors [25]

Answer:

Basically the first image goes in the first box because opposites attract and the second image is what happens when you let the magnets go. The third image would go into the second chart because same-sides repel each other and the fourth picture shows what happens if you let the magnets that have the same sides facing each other go.

Step-by-step explanation:

4 0
3 years ago
the gasoline gauge on a van initially read 1/8 full. When 15 gallons were added to the tank the gauge read 3/4 full. How many mo
Nostrana [21]
So 15 gallons of gas brought it from 1/8 full to 3/4 full.

Let's change 3/4 to the equivalent fraction 6/8  so that the denominators are the same.    (3/4 = 6/8)

So 15 gallons of gas brought it from 1/8 to 6/8   Those 15 gallons must be 5/8 of the tank's capacity   6/8 - 1/8 = 5/8

So 15 is 5/8 of what number?  (This will tell us the capacity of the whole tank)

15 = 5/8n
Divide both sides by 5/8 (remembering to multiply by the reciprocal 8/5)
15 ÷ 5/8  = 15 x  8/5  = 18

So the tank holds 24 gallons and (since it is 3/4 full or has 18 gallons) it needs 6 gallons to fill the tank.

Check - at first  1/8 full (1/8 of 24 = 3)  So we started with 3 gallons. 15 gallons added to the 3 gallons is 18 gallons.  Now the tank is 6/8 (3/4 full).  The remaining 1/4 (2/8) of a tank is the difference between 18 and it's capacity (24 gallons)  so it will need 6 gallons to fill it up..

3 0
3 years ago
The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks,
dimaraw [331]

Answer:

a simple random sampling.

Population is all the customers of the electronics chain store.

Step-by-step explanation:

Given that the marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.

Here since these 100 customers are selected at random no groups or partitions were made.

So this cannot be stratified or cluster. Systematic sampling is done with a pre plan and here it is not mentioned.  Convenience sampling is to save time the first customers or at a particular place selected.  Here it is not

So this is nothing but a simple random sampling.

Population is all the customers of the electronics chain store.

7 0
3 years ago
Other questions:
  • 1. What is the length of the 2nd base of a trapezoid if the length of one base is 24 and the length of the midsegment is 19? Sho
    13·1 answer
  • Simplify the following equation<br> 12 square root 28
    8·2 answers
  • A rectangle has a length of 5.50 m and a width of 12.0 m. What are the perimeter and area of this rectangle?
    7·1 answer
  • 5. Landon bought a new car for $16,000 and it depreciates 4.5% every year. Write a function that describes
    6·1 answer
  • Fill out the following table.
    11·1 answer
  • Each of three jars is filled with blackcurrant, raspberry, or strawberry jam. The labels on each are "raspberry", "strawberry,"
    8·1 answer
  • Select the correct location on the table. Consider the following equation. Square root of 2x+3 = x/x+5 + 2 which row in the tabl
    10·1 answer
  • Analyze the problem and complete the statements.
    9·1 answer
  • paul has a total of 15 markers and pencil. Each pencil cost $0.30 and each marker costs $1.25 how many pencils did paco buy.
    5·1 answer
  • Kira made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces w
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!