Answer:
A
Step-by-step explanation:
using the rule of exponents
• 
× 
⇔ 
, hence
× 7² = 
= 
Answer:
19
Step-by-step explanation:
He gets 6 wrong and 19 correct
Answer:
Volume of composite is 483 
Step-by-step explanation:
We need to add the volume of a rectangular prism (7 mm x 12 mm x 3 mm) to a semi-cylinder (of radius 3.5 mm and height 12 mm):
Volume of the prism = 7 x 12 x 3 = 252
Volume of the semi-cylinder = 
Therefore the sum of both volumes gives:
(252 + 230.907) = 482.907
WHich can be rounded to the nearest whole number as: 483
1) y-intercept => x = 0, => y = f(0) = 0 - 0 + 0 - 36 = -36
2) x-intercept => y = 0 => factor the function (start by dividing by x -2)
f(x) = (x-2)(x-3)(x-6) =0 => x =2, x = 3, x = 6 (these are the x-intercepts)
3) critical points:
between x = 2 and x = 3, there is a local maximum
between x =3 and x = 6 there is a local minimum
3) Shape.
The function comes growing from - infinity.
In the third quadrant the function is negative (it does not pass throuhg the second quadrant)
It enters to the fourth quadrant intercepting the y-axis at y = -36. It continues growing and intercepts the x-axis at x = 2.
It continues increasing until a maximum local positive value, starts to decrease, intercepts the x-axis at x = 3, continues decreasing, becomes negative, gets a local minimum in the fourth quadrant, starts to increase, intercepts the x-axis at x = 6, becomes positive, and continues growing.
Answer:
x)45
y)45
z)135
Step-by-step explanation:
