<span>x-intercept - (3,0)</span>y-intercept - <span>(0,−<span>3/2</span><span>)
</span></span>x-intercept - (-4,0)
y-intercept - (0,8/3)
![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.
In order to use substitution, you need to isolate a variable on one of the equations:
-2x+y=0
y=2x
Then you plug that equation into the other equation. Since we isolated y, we plug in 2x for y in the other equation:
3x-(2x)=5
x=5
Then plug the value you found into any equation to solve for the other variable:
3(5)-y=5
15-y=5
-y=-10
y=10
So your answers are x=5, y=10
Answer:
x≥−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
−4x−10≤2
Step 1: Add 10 to both sides.
−4x−10+10≤2+10
−4x≤12
Step 2: Divide both sides by -4.
−4x
/−4
≤
12
/−4
= x≥−3
<h3><em><u>brainliest please?</u></em></h3>
Answer:
Drusilla
Step-by-step explanation:
the answer is Drusilla
