Solve the equation for x, where x is a real number:
-2x^2 + 7x - 5 = 0

Answers

Answer 1
Answer: First you must know this.
{ax}^(2)  + bx + c = 0
Then, you will know that a=-2 b=7 c=-5.
Now, use the quadratic formula.
x = \frac{ \: - b +  -  \sqrt{ {b}^(2)  - 4ac } }{2a}
x =  \frac{ \: - 7  +  - \sqrt{ {7}^(2)  - 4( - 2)( - 5) } }{2 *  - 2}
You will then get two values for x.
x = 1 \: and \: x = 2.5
there you go! That's the answer.
Answer 2
Answer: To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                      x = [ -b ± √(b^2 - 4ac) ] / (2a)
                      x = [ -7 ± √((7)^2 - 4(-2)(-5)) ] / ( 2(-2) )
                      x = [-7 ± √(49 - (40) ) ] / ( -4 )
                      x = [-7 ± √(9) ] / ( -4)
                      x = [-7 ± 3 ] / ( -4 )
                      x = 7/4 ± -3/4
The answers are 7/4 + 3/4 = 5/2 and 1.

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I need help question 1
A plant cell has a length of 0.000085 meters. Which is this length written in scientific notation?
. Solve for x.10xy=W

in a certain city it was recorded at 16th and 2/7 inches of rain fell over 24 hour. How much rain fell per hour on average

Answers

0.0119047619 or 1/84 inches of rain/ hour. You divided 2/7 by 24 to get this answer.

In how many ways can a subcommittee of 6 students be chosen from a committee which consists of 10 senior members and 12 junior members if the team must consist of 4 senior members and 2 junior members?

Answers

Answer:

The number of ways is 13860 ways

Step-by-step explanation:

Given

Senior Members = 10

Junior Members = 12

Required

Number of ways of selecting 6 students students

The question lay emphasis on the keyword selection; this implies combination

From the question, we understand that

4 students are to be selected from senior members while 2 from junior members;

The number of ways is calculated as thus;

Ways = Ways of Selecting Senior Members * Ways of Selecting Junior Members

Ways = ^(10)C_4 * ^(12)C2

Ways = (10!)/((10-4)!4!)) * (12!)/((12-2)!2!))

Ways = (10!)/((6)!4!)) * (12!)/((10)!2!))

Ways = (10 * 9 * 8 * 7 *6!)/((6! * 4*3*2*1)) * (12*11*10!)/((10!*2*1))

Ways = (10 * 9 * 8 * 7)/(4*3*2*1) * (12*11)/(2*1)

Ways = (5040)/(24) * (132)/(2)

Ways = 210 * 66

Ways = 13860

Hence, the number of ways is 13860 ways

Use the "mixed partials" check to see if the following differential equation is exact.(3x^3 − 3y) dx + (−3x + 2y1) dy = 0
If it is exact find a function F(x,y) whose differential, dF(xy) is the left hand side of the differential equation. That is, level curves F(xy)=C are solutions to the differential equation.

Answers

Answer:

The equation is exact

F(x,y) = 3x4/4  - 3xy -y2

Step-by-step explanation:

The step by step explanation and to ascertain the exactness of the differential equation is as shown in the attached file.

Which of the following is a simplified form of the expression -2(x - 9) - x?

Answers

Answer:

-3x+18

Step-by-step explanation:

Distribute -2 through the parenthesis

-2x+18-x

Collect the like terms

-3x+18

16 1/9+ -4 2/3 help please??

Answers

Answer:

11 4/9

Step-by-step explanation:

ANDDD the answer is

Lauren is building a tree house with her dad. the dimensions of the floor are 9 feet by 6 feet. what is the area of the floor, measured in the square yards?A. 6 square yards
B. 15 square yards
C. 30 square yards
D. 54 square yards

Answers

Answer:

The answer is A) 6 square yards.


Hello There!

Area = L x W
Area = 9 x 6
Area = 54
Therefore, making your answer D. 54 square yards.

Hope This Helps You!
Good Luck :)