Answer:
Option b. Two solutions
Step-by-step explanation:
In order to find how many real number solutions the equation has we have to solve it
Given equation: -4x² + 10x + 6 = 0
taking 2 common from the equation
2(-2x² + 5x + 3) = 0
-2x² + 5x + 3 = 0
taking minus sign common from the above equation
2x² - 5x - 3 = 0
We will solve this equation by factorization in such a way that the sum of two factors is equal to -5x and the product is -6x²
2x² - 6x + x - 3 = 0
taking common above
2x(x-3) + 1(x-3) = 0
taking (x-3) common
(2x+1)(x-3) = 0
2x + 1 = 0
2x = -1
x = 
x - 3 = 0; x = 3
the solutions are

Both values are real numbers, therefore correct option is b
Step-by-step explanation:
We have got the lines :

Both lines intercept the x-axis in the point :

In all point from x-axis the y-component is equal to 0.

We replace the I point in the lines equations:

From the first equation :

From the second equation :

Then 
Finally :

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc
The best angle relationship that describes angles BAC and EAF is supplementary angles
The sum of angle on a straight line is supplementary i.e. they sum up to 180 degrees.
If Angles BAE and FAC are straight angles, it means they are linear pairs and their sum is 180 degrees. Mathematically;
m<BAE + m<FAC = 180degrees
Hence we can conclude that the best angle relationship that describes angles BAC and EAF is supplementary angles
Learn more here: brainly.com/question/22309882
Answer:
4K
Step-by-step explanation:
= K ( multiply both sides by 24 to clear the fraction )
J = 24K ( divide both sides by 6 )
= 4K
1 ) The first person will have $17. The second person will have $34 and the third person will $29.