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babunello [35]
3 years ago
7

K(x)=6x-12; k(x)=18 please help idk what the answer is

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
8 0
Ok so you would plug in 18 for the x so it would be 6(18)-12 and then 6x18 is 108 and 108-12=96 so your answer is 96
Mashutka [201]3 years ago
7 0

Answer:

96 IS THE AOUNSER

Step-by-step explanation:

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Can somebody plz help answer all these questions (only if u know how to do it) lol thanks!!!
vladimir1956 [14]

Answer:

  1. 13=6 14=5. 15=3 16=2 17=5 18= 7 19=2 20=9
7 0
3 years ago
Read 2 more answers
What is your hart rate if you count 18 beats in 15 seconds
inna [77]

Answer:

Your heart rate would be 72 beats per minute

Step-by-step explanation:

You need to get 60 minutes so If you multiply 15 by 4, its 60. Do the same for 18 and your heart rate is 72 beats per minute

4 0
3 years ago
Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5 to the plane x y z = 1
Varvara68 [4.7K]
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be x+y+z=1.

You're minimizing d(x,y,z)=\sqrt{(x-4)^2+y^2+(z+5)^2} subject to the constraint f(x,y,z)=x+y+z=1. Note that d(x,y,z) and d(x,y,z)^2 attain their extrema at the same values of x,y,z, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.

The Lagrangian is

L(x,y,z,\lambda)=(x-4)^2+y^2+(z+5)^2+\lambda(x+y+z-1)

Take your partial derivatives and set them equal to 0:

\begin{cases}\dfrac{\partial L}{\partial x}=2(x-4)+\lambda=0\\\\\dfrac{\partial L}{\partial y}=2y+\lambda=0\\\\\dfrac{\partial L}{\partial z}=2(z+5)+\lambda=0\\\\\dfrac{\partial L}{\partial\lambda}=x+y+z-1=0\end{cases}\implies\begin{cases}2x+\lambda=8\\2y+\lambda=0\\2z+\lambda=-10\\x+y+z=1\end{cases}

Adding the first three equations together yields

2x+2y+2z+3\lambda=2(x+y+z)+3\lambda=2+3\lambda=-2\implies \lambda=-\dfrac43

and plugging this into the first three equations, you find a critical point at (x,y,z)=\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right).

The squared distance is then d\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right)^2=\dfrac43, which means the shortest distance must be \sqrt{\dfrac43}=\dfrac2{\sqrt3}.
7 0
3 years ago
In 2012, New York had a population of about 19 million people,
alexandr1967 [171]

Answer:

B(if the option is 10^7 instead of  107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

7 0
3 years ago
Which of the following equations is a direct variation?<br> y=3X+2<br> y=5<br> y=2x<br> y=8x+6
Alex

direct \: varition \: means \: y \alpha x \\   it \: becomes \: y = kx
So y=2x is the only answer that fit y=kx, while k=2
3 0
3 years ago
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