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katrin2010 [14]
1 year ago
14

Create an equivalent expression for 13 ^−7 x 13 ^5.

Mathematics
2 answers:
Sveta_85 [38]1 year ago
8 0

13^{-7} \times 13^5=13^{-2}=\boxed{\frac{1}{13^2}}

Zina [86]1 year ago
3 0
13-7 x 135
= 13-2
1
132
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Pleaseee help!
user100 [1]

Step-by-step explanation:

f(3)=?

f(x)=2x+5

put x=3,

f(3)=2(3)+5=6+5=11

------------

g(2)=?

g(x)=x^2-3

put x=2,

g(2)=2^2-3=4-3=1

-----------------

g(f(-1))=?

g(x)=x^2-3

and f(-1)=2(-1)+5= -2+5=3

so g(f(-1))=3^2-3=9-3=6

----------------

f(g(-1))=?

f(x)=2x+5

g(x)=g(-1)=(-1)^2-3=1-3= -2

f(g(-1))=2(-2)+5= -4+5=1

----------------

g(f(x))=?

g(x)= x^2-3

put x=f(x),

g(f(x))=f(x)^2-3=(2x+5)^2-3=4x+25+20x-3=24x+25

7 0
3 years ago
EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =
geniusboy [140]

The Lagrangian,

L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)

has critical points where its partial derivatives vanish:

L_x=1-\lambda-2\mu x=0

L_y=2+\lambda-2\mu y=0

L_z=9-\lambda=0

L_\lambda=x-y+z-1=0

L_\mu=x^2+y^2-1=0

L_z=0 tells us \lambda=9, so that

L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu

L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}

Then with L_\mu=0, we get

x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2

and L_\lambda=0 tells us

x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}

Then there are two critical points, \left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right). The critical point with the negative x-coordinates gives the maximum value, 9+\sqrt{185}.

8 0
3 years ago
5x=10 solve the equation for x
kobusy [5.1K]

Answer:

x = 2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need help with a maths question please answer only if you know and not links​
kotegsom [21]

Answer:

x³/4z²

Step-by-step explanation:

Invert and multiply:

48x^5y²/12z^5 x z³/16x²y²=

(48x^5y²)(z³)/(16x²y²)(12z^5)

the y² cancel out

48÷16=3 (on top)

x^5÷x²=x³

12z^5/z³=z²(on bottom)

This leaves a 3x³ on top and 12z² on the bottom.  3÷12=4 (on bottom):

3x³/12z²

x³/4z²

8 0
3 years ago
Need help with math equation
STALIN [3.7K]

Answer:

18x/18=36/18

x=2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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