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
marin [14]
2 years ago
13

How many, and what type of solutions, does3x2−x−5=0 have?

Mathematics
1 answer:
siniylev [52]2 years ago
8 0

Answer:

2 irrational solutions

Step-by-step explanation:

using the quadratic formula:

\frac{ -b \:± \sqrt{b {}^{2} - 4ac }   }{2a}

3x²−x−5=0

where a = 3, b = -1 and c = -5, plug in those values in the quadratic formula

\frac{ - ( - 1)±\sqrt{(1) {}^{2} - 4(3)( - 5) } }{2(3)}

you get two solutions:

\frac{1 +  \sqrt{61} }{6} \:  and \:  \frac{1 -  \sqrt{61} }{6}

both can be written as:

\frac{1± \sqrt{61} }{6}

They are irrational as they cannot be written in the form p/q where p and q are whole numbers (integers)

You might be interested in
Tom's weight = 500 pounds
ruslelena [56]

Answer:

88% of his weight remains

5 0
2 years ago
Suppose log subscript a x equals 3, log subscript a y equals 7, and log subscript a z equals short dash 2. Find the value of the
enyata [817]

Answer:

<h2>24</h2>

Step-by-step explanation:

Given the following logarithmic expressions log_ax = 3, log_ay = 7, log_az = -2, we are to find the value of log_a(\frac{x^3y}{z^4} )

from\ log_ax = 3, x = a^3\\\\from\ log_ay = 7,y = a^7\\\\from\ log_az = -2, z = a^{-2}Substituting x = a³, y = a⁷ and z = a⁻² into the log function log_a(\frac{x^3y}{z^4} ) we will have;

= log_a(\frac{x^3y}{z^4} )\\\\= log_a(\dfrac{(a^3)^3*a^7}{(a^{-2})^4} )\\\\= log_a(\dfrac{a^9*a^7}{a^{-8}} )\\\\= log_a\dfrac{a^{16}}{a^{-8}} \\\\= log_aa^{16+8}\\\\= log_aa^{24}\\\\= 24log_aa\\\\= 24* 1\\\\= 24

Hence, the value of the logarithm expression is 24

6 0
3 years ago
A real estate agent gets a 5.5% commission on all of the houses she sells How much money would she make for selling a $198,000 h
Nataliya [291]

Answer:

$10,890

Step-by-step explanation:

5.5% × 198000 = 10890

3 0
2 years ago
"A unit rate compares one measurement of something to ______ of another measurement."
VikaD [51]

Answer:

different number of units

3 0
2 years ago
Not sure how to figure this out​
11Alexandr11 [23.1K]
For the first one take the amount the pitcher can hold and multiply it by the amount of pitchers he makes
14.5 x 8 = 116 oz

For the second one take the amount made per oz and multiply it by the amount of oz he made
0.25 x 116 = $29
6 0
2 years ago
Other questions:
  • A rectangle is dilated by a scale factor of 4.
    13·1 answer
  • Enrique is measuring the mass of a flower petal. Which unit of measurement should he use to eliminate the need to write value in
    15·2 answers
  • Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.​
    7·1 answer
  • Part II: What is 5,290,000,000,000 written out in words? What is it in scientific<br> notation?
    9·1 answer
  • How do you explain if something IS NOT a perfect square/ square number?
    13·2 answers
  • A car travels 120 miles in 3 hours
    13·2 answers
  • Can you please help me? as much as you can is greatly appreciated &lt;333 pt 1
    8·1 answer
  • Is 1 hour is 9 miles, how many hours is 15 miles?<br><br> 1 hr = 9 mi<br><br> __hr = 15 mi
    9·2 answers
  • If x = 12 units, y = 3 units, and h = 14 units, find the area of the parallelogram shown above using decomposition.
    15·1 answer
  • Round 1.33 to the nearest tenth.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!