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Alex
3 years ago
9

-10 is no less than 2 times a number plus 14.​

Mathematics
1 answer:
NemiM [27]3 years ago
8 0

Answer: yes correct

Step-by-step explanation: 2x0 is 0+14=14 still higher than 10

You might be interested in
Factor completely 6x^2 -4x
Liono4ka [1.6K]

Answer:

2x(3x−2)

Step-by-step explanation:

Factor 6x^{2} − 4x

6x^{2} − 4x

=2x(3x−2)

Hope this helps!

4 0
3 years ago
Find the max and min values of f(x,y,z)=x+y-z on the sphere x^2+y^2+z^2=81
Anton [14]
Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x+y-z+\lambda(x^2+y^2+z^2-81)

with partial derivatives (set equal to 0)

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}
L_y=1+2\lambda y=0\implies y=-\dfrac1{2\lambda}
L_z=-1+2\lambda z=0\implies z=\dfrac1{2\lambda}
L_\lambda=x^2+y^2+z^2-81=0\implies x^2+y^2+z^2=81

Substituting the first three equations into the fourth allows us to solve for \lambda:

x^2+y^2+z^2=\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}=81\implies\lambda=\pm\dfrac1{6\sqrt3}

For each possible value of \lambda, we get two corresponding critical points at (\mp3\sqrt3,\mp3\sqrt3,\pm3\sqrt3).

At these points, respectively, we get a maximum value of f(3\sqrt3,3\sqrt3,-3\sqrt3)=9\sqrt3 and a minimum value of f(-3\sqrt3,-3\sqrt3,3\sqrt3)=-9\sqrt3.
5 0
3 years ago
The dance team traveled to a competition and traveled in two vans. The first van transported 2 adults and 5 students and cost $7
Shtirlitz [24]

Answer: $9

Step-by-step explanation:

Let the cost for adults be a

Let the cost for students be b.

The first van transported 2 adults and 5 students and cost $77. This will be:

2a + 5b = $77

The second van transported 2 adults and 7 students and cost $95. This will be:

2a + 7b = $95

2a + 5b = 77 ...... equation i

2a + 7b = 95 ........ equation ii

Subtract equation ii from I

-2b = -18

b = 18/2

b = $9

An student cost $9

Put the value of b into equation i

2a + 5b = 77

2a + 5(9) = 77

2a + 45 = 77

2a = 77 - 45

2a = 32

a = 32/2

a = 16

An adult costs $16

5 0
3 years ago
Plz help me if you see this
Nezavi [6.7K]

Answer:

I am confused on what you are asking but I think the answer is y=12345x

Step-by-step explanation:

its correct

3 0
3 years ago
If a1=47 and d=-5 find a12
Simora [160]
An = a1 + (n-1) * d
a12 = 47 + (12 - 1) * -5
a12 = 47 + 11 * -5
a12 = 47 - 55
a12 = - 8 <==
8 0
3 years ago
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