2 years ago

Which point has the coordinate 1.6? Online graphic for number line in online checkpoint A. H B. J C. F D. G

1 answer:

4 0

The answer is option B i.e., Point F because 0-2 there are 10 divisions and point J is before 2 so it is clear that point J has coordinate 1.6.

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The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i

madam [21]

You're looking for the extreme values of $T(x,y,z)=3x+6y-6z+1$ subject to $x^2+y^2+z^2=9$ . The Lagrangian is

$L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)$

with critical wherever the partial derivatives vanish:

$L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}$

$L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda$

$L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda$

$L_\lambda=x^2+y^2+z^2-9=0$

Substituting the first three solutions into the last equation gives

$\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9$

$\implies\lambda=\pm\dfrac32$

$\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2$

At these points, we have

$T(1,2,-2)=28$

$T(-1,-2,2)=-26$

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

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2 years ago

Write y=-4x^2+8x-1 in vertex form

Wittaler [7]

Answer:

(1,3)

Step-by-step explanation:

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For which value of x is the equation 3(3 + x) = 15 + x true? A) 1 B) 2 C) 3 D) 4

natulia [17]

Answer:

Step-by-step explanation:

3(3 + x) = 15 + x

Open bracket

9 + 3x = 15 + x

Collecting like terms

3x - x = 15 - 9

2x = 6

Dividing by 2

x = 6/2

x = 3

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3 years ago

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Solve for h? What does h equal in literal math terms?

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Answer:

discupa eu não sei

um belo dia abençoado

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2 years ago