Answer:
Step-by-step explanation:
1/4y - 1/2
= 1/4y x 4 : 4 - 1/2
= y/4 - 1/2
Answer: x = -15
Step-by-step explanation:
Think PEMDAS
First, we factor the parenthesis:
-4 (x-4) = -4(x) + -4(-4)
now we are left with -4x + 16 = -44
Next is to isolate the "x":
to do this, we must subtract 16 from -44
-44 - 16 = 60
now we have -4x = 60
Now we divide both sides by -4 in order to isolate "x"
dividing -4x/-4 = x
diving 60/-4 = -15
the answer is x= -15
Answer:
2x^2 - 16x + 30
Step-by-step explanation:
Here, we want to get the composite function;
p•q(x)
All we have to do here is to replace the x value in p(x) by the totality of q(x)
we have this as ;
= 2(x-3)^2 - 4(x-3)
= 2(x^2 -6x + 9) - 4(x-3)
= 2x^2 -12x + 18 -4x + 12
= 2x^2 - 16x + 30
Answer:
discriminant=0
Number of real solutions=1
Step-by-step explanation:
Given the equation:
-9x^2-6x-1=0
Let a: coefficient of x^2
Let b: coefficient of x
Let c: constant
a=-9
b=-6
c=-1
The formula of the discriminant is given by:
discriminant= b^2 - 4ac
discriminant= (-6)^2 - 4(-9)(-1)
= 36 - 36 = 0
We know that:
If discriminant<0 then the equation has no real root
If discriminant=0 the equation has one real root
If discriminant>0 the equation has 2 real roots
Here we got discriminant=0 so the quadratic equation has 1 real root.
