the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0
13x^2-16x = x^2 -x
we need to get in it the standard form
subtract x^2 from each side
12x^2 -16x = -x
add x to each side
12x^2 -15x = 0
12x^2 -15x -0 =0
a=12 b=-15 c=0
b^2 -4ac
the discriminant = b^2
b^2 = (-15)2 = 225
Answer:
36
Step-by-step explanation:
Use pythagorean theorem
side 1 = 9
side 2 = 12
9^2 + 12^2 = third side ^2
third side = 15
9+12+15 = 36
Hope this helpful!!!!! :)
Answer:
(-1,-3)
Step-by-step explanation:
Multiply both x and y values by 1/3 or divide both by 3.
Answer:
Average rate of change 
Step-by-step explanation:
Given function is 
and we need to find average rate of change of the function from 
.
Average rate of change 
So,
Average rate of change
Hence, average rate of change of the function over the intervel is .
Answer:
see explanation
Step-by-step explanation:
f(x) × g(x)
= 11(123x - 40) ← distribute
= 1353x - 440
Substitute x = - 4 into the product
= (1353 × - 4) - 440
= - 5412 - 440
= - 5852
