<span>-16x^3+4x=0
-4x(4x^2 - 1) = 0
-4x(2x+1)(2x - 1) = 0 (factor using a^2 - b^2 = (a+b)(a-b))
-4x = 0; x =0
2x +1 = 0;x = -1/2
2x - 1 =0; x = 1/2
answer: x = 0, x = 1/2 and x = -1/2</span>
Answer:
I think the answer is A
Step-by-step explanation:
First you would need to subtract 21 and 6, and then divide the difference of that by 3
Write the inequalities that are given by the :
<span>x: the number of batches of muffins
y: the number of batches of cakes
</span>Each batch of muffin requires 7 liters of milk and each batch of cakes
require 4 liters of milk.
=> liters of milk use = 7x + 4y
<span>Tania
has 56 liters of milk.=> 7x + 4y ≤ 56
Which means that the amount of muffins and cakes made are limited by the availability of 56 liter of milk.
The inequality 7x + 4y ≤ 56 is graphed by drawing the line 7x + 4y = 56 and shading the region below that line.
The line 7x + 4y = 56 has these x and y intercepts:
y-intercept: x =0 => 4y = 56 => y = 56/4 => 14 => point (0,14)
x-intercept => y = 0 => 7x = 56 => x = 56/7= 8 => point (8,0)
So, the line passes through the poins (0,8) and (14,0) and the solution region is below that line.
Also, you know that x and y are restricted to be positive or zero =>
x ≥ 0
y ≥ 0.
So, the solution region is restricted to the first quadrant.
That implies that the answer is:
</span><span>
Line joining ordered pairs 0, 14 and 8, 0. Shade the portion of the graph below this line which lies within the first quadrant
</span>
Answer:
162
Step-by-step explanation:
9 x 6 = 54
18 x 6 = 108
108 + 54 = 162
