Graph the inequalities to find the vertices of the shaded region: (2, 3) and (8, 0).
Now, evaluate the the function C = x + 3y at those vertices to find the minimum value.
C = x + 3y at (2, 3) ⇒ C = (2) + 3(3) ⇒ C = 2 + 9 ⇒ C = 11
C = x + 3y at (8, 0) ⇒ C = (8) + 3(0) ⇒ C = 8 + 0 ⇒ C = 8
The minimum value occurs at (8, 0) with a minimum of C = 8
Answer: A
16x^2 is the <span>perfect square of 4x^2</span>
ABC and HJK are congruent and the corresponding sides and angles are equal. Side HJ is congruent with side AB so HJ is also 3.5cm in length.
<h3>Factor –3y – 18 is: -3(y + 6)</h3>
<em><u>Solution:</u></em>
Given that we have to factor -3y - 18
Use the distributive property,
a(b + c) = ab + bc
From given,
-3y - 18
Factor out the greatest common factor of 3 and 18
The factors of 3 are: 1, 3
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 3
Factot out 3 from given expression
-3y - 18 = 3( - y - 6)
Or else we can rewrite as,
-3y - 18 = -3(y + 6)
Thus the given expression is factored
