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
Georgia [21]
3 years ago
13

Find the discriminant of X^2+ 4x - 3 = 0

Mathematics
1 answer:
Drupady [299]3 years ago
5 0

Answer:

2 real solutions

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ), then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct solutions

• If b² - 4ac = 0 then 2 real and equal solutions

• If b² - 4ac < 0 then no real solutions

x² + 4x - 3 = 0 ← is in standard form

with a = 1, b = 4, c = - 3 , then

b² - 4ac = 4² - (4× 1 × - 3) = 16 - (- 12) = 16 + 12 = 28

Since b² - 4ac > 0 then the equation has 2 real and distinct solutions

You might be interested in
Show that the equation 2x + 3 cos x + e ^ x = 0 has a root on the interval [- 1, 0]
ExtremeBDS [4]

If <em>x</em> = -1, you have

2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0

and if <em>x</em> = 0, you have

2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0

The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.

5 0
3 years ago
Please help me ASAP
ANTONII [103]

Answer:

Step-by-step explanation:

24 foot

8 0
2 years ago
How do you convert a location as a decimal into degrees, minutes , and then seconds. Like 46.19*North and 122.19*West
jonny [76]
Degrees are the units of measurement for angles.
There are 360 degrees in any circle, and one
degree is equal to 1/360 of the complete
rotation of a circle.

360 may seem to be an unusual number to use, but this part
of math was developed in the ancient Middle East. During
that era, the calendar was based on 360 days in a year, and
one degree was equal to one day.

* Fractions of Degrees

There are two methods of expressing fractions of degrees.
The first method divides each degree into 60 minutes (1° = 60'), then each minute into 60 seconds (1' = 60").
For example, you may see the degrees of an angle stated like this: 37° 42' 17"

The symbol for degrees is ° , for minutes is ', and for seconds is ".

The second method states the fraction as a decimal of a degree. This is the method we will use.
An example is 37° 42' 17" expressed as 37.7047° .

_____________________________________

Most scientific calculators can display degrees both ways. The key for degrees on my calculator looks like ° ' ", but the key on another brand may look like DMS. You will need to refer to your calculator manual to determine the correct keys for degrees. Most calculators display answers in the form of degrees and a decimal of a degree.
_____________________________________
It is seldom necessary to convert from minutes and seconds to decimals or vice versa; however, if you use the function tables of many trade manuals, it is necessary. Some tables show the fractions of degrees in minutes and seconds (DMS) rather than decimals (DD). In order to calculate using the different function tables, you must be able to convert the fractions to either format.
* Converting Degrees, Minutes, & Seconds to Degrees & Decimals

To convert degrees, minutes, and seconds (DMS) to degrees and decimals of a degree (DD):
First: Convert the seconds to a fraction.
Since there are 60 seconds in each minute, 37° 42' 17" can be expressed as
37° 42 17/60'. Convert to 37° 42.2833'.
Second: Convert the minutes to a fraction.
Since there are 60 minutes in each degree, 37° 42.2833' can be expressed as
37 42.2833/60° . Convert to 37.7047° .

Degree practice 1: Convert these DMS to the DD form. Round off to four decimal places.

(1) 89° 11' 15" (5) 42° 24' 53"
(2) 12° 15' 0" (6) 38° 42' 25"
(3) 33° 30' (7) 29° 30' 30"
(4) 71° 0' 30" (8) 0° 49' 49"
Answers.
* Converting Degrees & Decimals to Degrees, Minutes, & Seconds

To convert degrees and decimals of degrees (DD) to degrees, minutes, and seconds (DMS), referse the previous process.
First: Subtract the whole degrees. Convert the fraction to minutes. Multiply the decimal of a degree by 60 (the number of minutes in a degree). The whole number of the answer is the whole minutes.
Second: Subtract the whole minutes from the answer.
Third: Convert the decimal number remaining (from minutes) to seconds. Multiply the decimal by 60 (the number of seconds in a minute). The whole number of the answer is the whole seconds.
Fourth: If there is a decimal remaining, write that down as the decimal of a second.
Example: Convert 5.23456° to DMS.

5.23456° - 5° = 023456° 5° is the whole degrees
0.23456° x 60' per degree = 14.0736' 14 is the whole minutes
0.0736' x 60" per minutes = 4.416" 4.416" is the seconds
DMS is stated as 5° 14' 4.416"
5 0
3 years ago
HELP PLS! ;P<br>Find n.<br><br>A. 5√3<br><br>B. 5<br><br>C. 10√3/3<br><br>D. 10
Readme [11.4K]

Answer:

B

Step-by-step explanation:

tan(30)=n/(5*sqrt(3))

=> n=5

4 0
2 years ago
Y = f(x) = 16x Find f(x) when x = 1/2​
Alina [70]

Answer:

The answer depends on what the problem really is.

f(1/2) = 8

or

f(1/2) = 4

See below.

Step-by-step explanation:

This is the problem as it was posted:

y = f(x) = 16x

Let x = 1/2

y = f(1/2) = 16(1/2) = 8

Perhaps the problem is this:

y = f(x) = 16^x

If x is an exponent of 16 and not a factor, then the answer is:

y = f(\frac{1}{2}) = 16^\frac{1}{2} = \sqrt{16} = 4

5 0
3 years ago
Other questions:
  • The LCM of two number is a multiple of 10 and 6. The two numbers are both less then 10.what is the LCM?
    8·1 answer
  • Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be use
    7·2 answers
  • A^2−8ab+16b^2=81, find a–4b
    6·1 answer
  • The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird
    7·1 answer
  • Solve the following simultaneous equations using an algebraic (not graphical) method.
    15·1 answer
  • Evaluate 3x^2 - x for x = -2​
    8·1 answer
  • When Emily arrived home from school she spent eight minutes eating a snack then she spent 15 minutes playing with her dog and 32
    14·1 answer
  • Evaluate 4x-6y when x=-3 y=-1
    10·2 answers
  • What is the solution to 3x2 + 4x - 8 = 0?
    10·1 answer
  • Does anyone know this ?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!