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stepan [7]
3 years ago
15

Find f(7) when f(x)=−5x+2.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0

Answer:

-33

Step-by-step explanation:

Plug it in;

f(7)= -5(7)+2

-5(7)= -35+2= -33

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They are the two angles opposite the exterior angle and when the the two angles are added together they equal the exterior angle

6 0
3 years ago
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 <em>f</em> :

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 <em>g</em> :

\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 <em>n</em> 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 <em>f</em> has a minimum of -7 and a maximum of 299.

4 0
3 years ago
avery had 125 animal stickers. she have 5 animal stickers to each of her 10 friends how many animal stickers did she have left w
frosja888 [35]
If she gave each of her 10 friends 5 animal stickers 5×10 =50. shed have 75 left cuz 125-50=75
3 0
3 years ago
What is the answer if you factor completely
Sergeeva-Olga [200]

Answer:

Your correct and final answer is (9+x^6) (3+x^3) (3-x^3)

Hope this helps!!!


3 0
3 years ago
If x=-5 what is the value of x^2-1/x+1? A. 6 b. -4 c. 4 d. 5 4/5 e. 19 <br> need answers asap
xxTIMURxx [149]

Answer:

The answer is -6 but its not in the option

Step-by-step explanation:

\frac{ {x}^{2} - 1 }{ x  + 1}

Let x = -5

[(-5)²-1]/(-5+1)

= (25-1)/(-4)

= 24/-4

= -6

4 0
3 years ago
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