Given the quadratic function, to get the roots we factorize:
3x²-4x-7=0
3x²+3x-7x-7=0
3x(x+1)-7(x+1)=0
(3x-7)(x+1)=0
thus the roots are
x=-1 or x=3/7
thus the sum of the roots will be:
-1+3/7
=-4/7
Answer:
The player answer correctly 30 questions
Step-by-step explanation:
First we have to develop the information that gives us as 2 equations
x = correct answer
y = incorrect answer
z = score = 40
h = total answer = 50
2x - y = z x + y = h
2x - y = 40 x + y = 50
we clear the x of one equation and replace the value of x in the other equation
x = 50 - y
2x - y = 40
2(50 - y) - y = 40
100 - 2y - y = 40
-3y = 40 -100
y = -60/-3
y = 20
x = 50 - y
x = 50 - 20
x = 30
Answer:
Longest side = 13 inches
Step-by-step explanation:
Perimeter of triangle = 30 inches
x + 4x - 8 + 2x +3 = 30
x + 4x + 2x - 8 + 3 = 30
7x - 5 = 30
7x = 30 + 5
7x = 35
x = 35/7
x = 5
Longest side is the hypotenuse.
Longest side = 2x + 3 = 2*5 + 3 = 10 + 3 = 13 inches
135,634,554.....the 3 is in the 10 millions place
so the 3 is 30,000,000
