Answer:
Sam is 12, sam's brother is 19, and sam's mom is 32.
Step-by-step explanation:
First the equation you need to use is S+7+S+3S-4=63(the variable s represents Sam), you combine the like terms which then equals 5S+3=63, then you use inverse operations. Subtract 3 on both sides, 5S=60, then you divide on both sides which equals S equals 12. Then you just plug in the number, S is Sam which means Sam's 12. Then 12+7 which is 19, Sam's brother. Then 3 times 12 minus 4 is 32. And if you check to make sure, 12+19+32 does equal 63.
First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):
Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.
To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:
total marbles: 2+3+7 = 12
add blue and yellow 2+3=5
7 marbles aren't blue or yellow
probability = 7/12 marble is not one of those
Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
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 = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
x = [-5 ± √(25 - (-40) ) ] / ( -4 )
x = [-5 ± √(65) ] / ( -4)
x = [-5 ± sqrt(65) ] / ( -4 )
x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
The Answer for your question is True......
