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
8x + y = 12 (substitute 3 for y)
<span>8x + 3 = 12 </span>
<span>8x = 9 </span>
<span>x = 9/8 </span>
<span>If y = 3 and 8x + y = 12, then x = 9/8.
HOPE THIS HELPS!!</span>
Answer:
Hypothesis Testing
Step-by-step explanation:
The null hypothesis may be created as follows:
"The employees of the company favor the company retirement program."
For testing, the research will most probably use a survey questionnaire. Hence, the survey question for this purpose would be a multiple-option question that would read as follows:
I favor the stated change in the company retirement program.
- Strongly Disagree
- Disagree
- Neutral
- Agree
- Strongly Agree
Answer:
Graph.
y=4x+2(1,y)642X−6−4−2IN^46−2−4−6y−value(1,y)Y
Step-by-step explanation:
