Answer: y = 2x + 5
Step-by-step explanation:
Answer:x=150
Step-by-step explanation:
Step 1: Subtract 1.2x from both sides.
0.8x+20−1.2x=1.2x−40−1.2x
−0.4x+20=−40
Step 2: Subtract 20 from both sides.
−0.4x+20−20=−40−20
−0.4x=−60
Step 3: Divide both sides by -0.4.
−0.4x
−0.4
=
−60
−0.4
![y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\ y''(0)=20\cdot0^3=0](https://tex.z-dn.net/?f=y%3Dx%5E5-3%5C%5C%20y%27%3D5x%5E4%5C%5C%5C%5C%205x%5E4%3D0%5C%5C%20x%3D0%5C%5C%200%5Cin%20%5B-2%2C1%5D%5C%5C%5C%5C%20y%27%27%3D20x%5E3%5C%5C%5C%5C%0Ay%27%27%280%29%3D20%5Ccdot0%5E3%3D0)
The value of the second derivative for
is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of
is always positive for
. That means at
there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval
![[-2,1]](https://tex.z-dn.net/?f=%5B-2%2C1%5D)
.
The function
is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.
Answer:
irrational number
Step-by-step explanation:
It is a non-recurring continuous decimal number
Answer:
5) A
6) A
Step-by-step explanation:
5) With the sides of the rectangle being dilated, multiply the side lengths by the scale factor
7.5(2.2) and 3(2.2)
16.5 and 6.6
6) Multiply the coordinates by the scale factor as dilations work as (x, y) -> (kx, ky)
