Answer:
Scale Factor (small to large) is 2.8
Step-by-step explanation:
The scale factor is "how many times" it is larger.
If we have an actual quantity be "a" and the enlarged quantity be "b" and we let the scale factor be "k", we can write the equation shown below:
So, we basically mean "what number" (scale factor) should be multiply with the actual value (smaller one) to get the enlarged value (bigger one). From the problem, we can write:
\
Now we find "k", the scale factor:
Hence, the scale factor is 2.8
Answer:
b = 1/6
Step-by-step explanation:
Step 1:
13 = 78b Equation
Step 2:
13 ÷ 78 Divide
Answer:
b = 1/6
Hope This Helps :)
First find the smallest value
You would need the smallest y value and the greatest x value
y = 10, x = 7
Therefore 10/7 would be the smallest
Now find the greatest
You would need the largest y value and the smallest x value
Y = 12, x = 6
Therefore 12/6 or 2 would be the largest
Solution: 10/7 < y/x < 2
You're looking for the extreme values of 
subject to the constraint 
.
The target function has partial derivatives (set equal to 0)
so there is only one critical point at 
. But this point does not fall in the region . There are no extreme values in the region of interest, so we check the boundary.
Parameterize the boundary of by
with 
. Then 
can be considered a function of 
alone:
has critical points where 
:
but 
for all , so this case yields nothing important.
At these critical points, we have temperatures of
so the plate is hottest at (1, 0) with a temperature of 14 (degrees?) and coldest at (-1, 0) with a temp of -12.
To set up your system of equations is to have 2 equations. They both would have 1 similar variable. For example, Jenny is 5 more her brother's age. She is also 2 more than twice her brother's age. You would set this up as Y, which is Jenny, and X, her brother. Y = 5 + x and Y = 2x + 2. Make sure you put Y in the same spot in both equations. Then take the other half of the equations and simplify them. 5 + x = 2x + 2. Subtract x from both sides to get 5 = x + 2. Subtract 2 from both sides to get 3 = x. Now replace the X from both equations to get Y = 5+3, and Y = 2(3) + 2. You will see both add up to 8, which is how old Jenny is in this example. Hope this helped!
