It is 365,78 US$
I hope this answer helps you
Answer:
Function rule is .
The transformations are compression in the x direction by a factor of 3 and then vertically shifting up by 4 units.
Step-by-step explanation:
Given:
So, is a transformed function of .
There are two transformations involved:
1.
The value of the function is multiplied by 3. So, according to transformation rules, when the value of the function is multiplied by a positive number greater than 1, then the function compresses in the x direction.
As 3 is multiplied to , will be compressed in the x direction by a factor of 3.
2.
Now, 4 is added to the compressed function. As per transformation rules, when a positive number is added to a given function, the function has a vertical shift.
Here, the compressed function will shift vertically up by 4 units.
By "y = −9x2 − 2x" I assume you meant <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).
Let's find the first derivative of y with respect to x: dy/dx = -18x - 2. This is equivalent to the slope of the tangent line to the (parabolic) curve. Now let this derivative (slope) = 0 and solve for the critical value: -18x - 2 = 0, or
-18x = 2. Solving for x, x = -2/18, or x = -1/9.
When x = -1/9, y = -9(-1/9)^2 - 2(-1/9). This simplifies to y = -9/9 + 2/9, or
y = -7/9.
The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>
Answer:
-5 <3
Step-by-step explanation:
7. y = 1, AB = 1, BD = 10 and AD = 11
8. x = 5, AB = 20 and BC = 20
9. x= 5 and AB = 33
10. No, because AC = 12.5 while AB + BC = 20 (they should equal the same and they don't.)