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
Six million, seven thousand and two hundred.
Answer:
The quotient contains a terminating decimal and The quotient is a whole number less than 11.
Step-by-step explanation:
To answer this one, it's mandatory to remember that quotient, is the outcome of a ratio: a number (r) over another (s) (different than 0). In this case:
. So q is equal to =0.08823529411.
Analyzing the number: 0.08823529411
This is not a repeating decimal, but it is a terminating decimal for it has an end.
The quotient is also a whole number less than 11.
The Whole Set of numbers is made up of the following numbers W ={0,1,2,...} and 0 < 11. Therefore it is true.
Answer:
5..(b)
Step-by-step explanation:
Pythagoras theorem states that
Hypotenuse(squared)=opposite(squared)+ adjacent(squared)
hypotenuse=?,opposite=3,adjacent=4
hyp(squared)=3(squared)+4(squared)
hyp(squared)=9+16
hyp(squared)=25
find the square root of both sides
hypotenuse=5
To find the answer, you need to find the LCM of 3 and 5. It's 15, meaning that every 15 days, you will have both lessons on the same day. Have an awesome day! :)
