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:
5.5
Step-by-step explanation:
The lowest temperature ever recorded on Earth is =-94.7
Before this date, the previous record was at= -89.2
the difference between these two extreme temperatures=-89.2-(-94.7)
=-89.2+94.7
=5.5
<u>The difference between these two extreme temperatures is 5.5</u>
Answer:
(B) Start at -7 on the number line and move 11 to the <em>right.</em>
Step-by-step explanation:
They are negatives, but the -(-11) makes the 11 a positive.
Answer:
3
Step-by-step explanation:
For a graph not to be a function, it means that a particular value of x has more than one corresponding value of y. Looking at the graph, at the point where x = 3 on the horizontal axis, there are so many value of y. Plus, the graph below is not a function at x = 3
The correct option is 3
Answer:
its correct
Step-by-step explanation:
