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Crazy boy [7]
3 years ago
13

Solve the following quadratic equation. Express your answers in exact form.

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

Answer:

x = (2+√10)/ 3 and x= (2-√10/3)

Step-by-step explanation:

g(x) = -3x² +4x +2

use the quadratic formula x= (-b±√b²-4ac)/2a, when g(x) = ax² +bx +c

x= [-4 ±√4²-4*(-3)*2] / 2*(-3) , solve under the square root

x= (-4 ± √16 +24) / -6 , add under the radical

x= (-4 ±√40) / -6, simplify the square root

x= (-4 ±2√10) /-6, factor -2

x= -2 (2±√10)/-2 *3, simplify -2

x= (2±√10)/3

Therefore,

x = (2+√10)/ 3 and x= (2-√10/3)

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To speed the process of surveying, surveyors use brass metal plates to record important information. The benchmarks, as they are
Agata [3.3K]

Answer:

Feet Above Sea Level

Step-by-step explanation:

A benchmark is a term in Surveying and Geo informatics, that describes a point of reference established at a known elevation which serves as basis in which other elevation or topographical point can be measured.

Therefore, when determining the benchmark, it's height is calculated relative to the vertical datum of the area, typically mean sea level, which is then recorded in FEET ABOVE SEA LEVEL.

Hence, Benchmarks measurements refer to FEET ABOVE SEA LEVEL.

5 0
3 years ago
Find the median number of magazines purchased in a store by 6 customers. 1, 7, 4, 2, 3, 4.
Orlov [11]
The median is the middle number when the numbers are put in ascending order (lowest to highest)

1, 2, 3, 4, 4, 7

The middle numbers are 3 and 4. The number between 3 and 4 is thus the median - this number is 3.5
6 0
3 years ago
Help I keep getting an answer that is not an option
horsena [70]

Answer:

6600

Step-by-step explanation:

y = 15000( 1.2) ^ (x/3)

Let x = 6 years

y = 15000( 1.2) ^ (6/3)

y = 15000( 1.2) ^ (2)

y = 15000( 1.44)

y =21600

This is the total amount in the account

We want the profit

Subtract the original amount in the account

21600-15000

6600

8 0
3 years ago
3+-√(-3)^2 - 4(5)(-1)
Alona [7]

Answer:

Step-by-step explanation:

Easy way to do this is step by step.  Your quadratic, from your entry, must be

5x^2-3x-1.

Step by step looks like this, one thing at a time:

x=\frac{3+\sqrt{(-3)^2-4(5)(-1)} }{2(5)} becomes

x=\frac{3+\sqrt{9-(-20)} }{10} becomes

x=\frac{3+\sqrt{9+20} }{10}

and this of course is

x=\frac{3+\sqrt{29} }{10}

Do the same with the subtraction sign to get the other solution.

If you're unsure of how to enter it into your calculator, do it step by step so you don't mess up the sign.  If you enter it incorrectly, you could end up with an imaginary number when it should be real, or a real one that should be imaginary.

Just my advice as a high school math teacher.

3 0
3 years ago
Polygon ABCDE and polygon FGHIJ are similar. The area of polygon ABCDE is
Anestetic [448]

Answer:

b 125

Step-by-step explanation:

first you know that you have 2 and 5 as similar numbers you both square them so that they become a ratio of area which is 4/25 after you do 4/25=20/x and you do cross multiply then you find 125. hope that helped understand.

8 0
3 years ago
Read 2 more answers
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