By the remainder theorem, the remainder upon dividing <em>p(x)</em> = 2<em>x</em>³ - 7<em>x</em>² + 5<em>x</em> - 1 by <em>x</em> - 3 is <em>p</em>(3),
<em>p</em>(3) = 2(3)³ - 7(3)² + 5(3) - 1 = 5
Answer:
Brian has 50 pieces of gum
Step-by-step explanation:
Jaden has three times as many
Therefore-
n x 30 = 150
We need to solve for n
You can do that by dividing 150 by 3
150/3 = 50
So Brian has 50 pieces
Answer:
<h2><em><u>m</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>6.43</u></em><em><u> </u></em><em><u>(</u></em><em><u>approx</u></em><em><u>. </u></em><em><u>)</u></em></h2>
Step-by-step explanation:
49 - 3m = 4m + 4
=> 49 - 4 = 4m + 3m
=> 45 = 7m
=> 6.428571... = m
=><em><u> m = 6.43 (approx. ) (Ans)</u></em>
Answer:
y = 3x + 1
Step-by-step explanation:
The slope is 3 and the y-intercept is 1, so y= 3x + 1.
<h3>
Answer: 31 degrees</h3>
This is because rotations preserve angles. The angle measures won't change. That's why angle BCD is the same as angle B'C'D'. This applies to any rotation (regardless how much you rotate), any translation, any reflection, and any dilation.
Note: dilations will change the side lengths