Answer:Example 1.
2x2 - 5x - 12 = 0.
(2x + 3)(x - 4) = 0.
2x + 3 = 0 or x - 4 = 0.
x = -3/2, or x = 4.
Step-by-step explanation:
We are given : Giannina's painting sold for over $300.
Let the price of Geannina's painting in dollars = P.
<em>Note: We are given a word " over " in above statement.</em>
Over word represents more than. So, we need to use more than inequality symbol to write an inequality for the given statement.
Let us rephrase the given statement.
" Price P is greater than $300".
Now, we can write an inequality :
P> 300.
<h3>Therefore, the required inequality for given statement is P > 300.</h3>
F(x)=2x+4/3
Replace f(x) by y:
y=2x+4/3
Solving for x:
y-4/3=2x+4/3-4/3
Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x
Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6
Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6 Inverse function
Then, for x=6
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3
Her hair will have grown 6 after 7/3 = 2.33 months
Answer:
V= 270m³
Step-by-step explanation:
She would atleast have 30 friends