Answer:
19
Step-by-step explanation:
2(8) + 3
16 + 3
19
The commutative property is when you change the order but not the answer. To better understand what they are asking you, let's let x=1- 6 * 2 * 1=12; Answer A wouldn't be right because there are no 6,2, or x's. Remember you just change the ORDER not the GROUPING so Answer B is wrong too. Now Answer C and Answer D are left. Now you just need to look at the signs. 6(2) just means 6 TIMES 2 so pick the option with multiplication. So your answer is C. Hope I helped!
Answer:
A b c d
Step-by-step explanation:
pertaining to or using a rule or procedure that can be applied repeatedly. Mathematics, Computers. pertaining to or using the mathematical process of recursion: a recursive function; a recursive procedure.
If
<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9
then
<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5
Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations
-<em>a</em> + <em>b</em> + 5 + 9 = 12
3<em>a</em> - 2<em>b</em> - 5 = 3
or
-<em>a</em> + <em>b</em> = -2
3<em>a</em> - 2<em>b</em> = 8
Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :
2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8
-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8
<em>a</em> = 4
Substitute this into the first equation above to solve for <em>b</em> :
-4 + <em>b</em> = -2
<em>b</em> = 2
Answer:
Step-by-step explanation:
Because the leftmost triangle is a 45-45-90 isosceles right triangle, 
The rightmost triangle is a 30-60-90 triangle, and the side lengths are in the proportion 
from shortest to longest. Therefore, 
