All categories

3 years ago

-17 < 3 - 5x Idek anymore

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

Step-by-step explanation:

-17 < 3 - 5x

-3 -3 step 1: subtract 3 from both sides

-20 < -5x

/-5 /-5 step 2: divide both sides by 5

4 < x

You might be interested in

Solve 2x2 − 12x + 20 = 0. (5 points) 3 ± i 3 ± 2i 1 ± 2i 2 ± 3i

Oksi-84 [34.3K]

The answer is 3+-i

I hope this helps!!!!!!!!

4 0

3 years ago

Read 2 more answers

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

Use signed numbers to solve. A helicopter descended 1200 feet, rose 800 feet, and then descended 450 feet. What was the net gain

DENIUS [597]

B. Lost 850 ft
800-450= 350
1200-350=850

I hope I helped :D

6 0

3 years ago

HELP ME WITH THIS! Plz

Lelu [443]

It is 3 and 1/14ft or 3 and 4/16 ft taller

6 0

3 years ago

Plz help they are drag ins

Alex777 [14]

Bruh i hate plato so much

4 0

3 years ago