Answer:
-2.1
Step-by-step explanation:
Answer:
a. The critcal points are at
b. Then, 
is a maximum and 
is a minimum
c. The absolute minimum is at 
and the absolute maximum is at 
Step-by-step explanation:
(a)
Remember that you need to find the points where
Therefore you have to solve this equation.
From that equation you can factor out 
and you would get
And from that you would have 
, so 
.
And you would also have 
.
You can factor that equation as 
Therefore 
.
So the critcal points are at
b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since
Then, is a maximum and is a minimum
c.
The absolute minimum is at and the absolute maximum is at
Answer:
3.471 + 7.2516 x
Step-by-step explanation:
Given the data:
(1,3) (2,0) (5,-8) (9, -25) .
X:
1
2
5
9
Y:
3
0
-8
-25
The line of best fit for the data given can be obtained using an online regression calculator :
The equation of best fit for the data is thus;
Best fit equation; y = -3.471 + 7.2516x
Intercept = - 3.471 ;
Slope = 7.2516
Answer:
-2(16xy-10y+7)
Step-by-step explanation:
-2(16xy-10y-7)= -2×16xy-2(-10y)-2×7
-2(16xy-10y+7)= -32xy+20y-14
Answer:
- <u><em>A. 6,000 miligrams</em></u>
Explanation:
A <em>balance scale</em> is balanced when the weights on both sides are equal. Then, since the image shows that both sides are equal, the weight of the <em>6-gram weight</em>, placed by Henry on one side of the balance scale is equal to the weight of the <em>ballet slipper </em>placed on the other side.
- Weight of the balance slipper = weight of the 6-gram weight
- Weight of the balance slipper = 6 grams
<u>Conversion of units: </u>
- 6 grams × 1,000miligrams/1gram = 6,000 miligrams
- Weight of the balance slipper = 6,000 miligrams
That is the option A.
