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3 years ago

What is the soultion of - 21 = n - 8 what is n

1 answer:

8 0

This is a simple equation:)
We have to isolate "n" to be alone.
-21 = n - 8

First add 8 to both sides.
-21 = n - 8
+8 = + 8 it cancels out on the right side of the equal side and you solve on the left side

soooo
-21 + 8 = -13
-13 = n

Finally our answer is
-13 = n

When in doubt, eat a pineapple:)

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Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results

Andrews [41]

Answer:

Step-by-step explanation:

Given that,

g(x, y) = 5 - (x - 3)² - (y + 2)²

Let find the grad of the function,

The grad of a function is defined as

∇g= ∂g/∂x •i + ∂g/∂y •j + ∂g/∂z •k

∇g = gx•i + gy•j + gz•k

gx = -2(x-3) = -2x+6

gy = -2(y+2) = -2y -4

∇g = (-2x+6) •i + (-2y-4)•j

We have a maximum or a minimum If g conservative, then, ∇g = 0i +0j

Then comparing this to the grad of the function

(-2x+6) •i + (-2y-4)•j = 0i +0j

Then, -2x+6 = 0

2x=6

x = 3

Also, -2y-4=0

-2y=4

y = -2

Then, g(x, y) = 5 - (x - 3)² - (y + 2)²

g(x, y) = 5 - (3 - 3)² - (-2 + 2)²

g(x, y) = 5

So the critical point is (3, -2, 5)

gx =-2x+6

Second derivative of gx with respect to x

gxx=-2

gy=-2y-4

Second derivative of gy with respect to y

gyy=-2

Second derivative of gx with respect to y

gxy =0

d =gxxgyy - (gxy)²

Then, gyy=gxx

d = -2×-2 -0²

d = 4-0=4

Since d>0

Since d is greater than 0, then, it is not a chair points.

Then, since gxx=-2<0, gyy=-2<0

Cause the second derivative in x (or in y) is less than zero, then the point is relatively maximum

So the maximum point is (3, -2, 5).

6 0

3 years ago

Suppose a principal amount of $2079 were invested into a simple interest account that pays an annual rate of 2.31% then the amou

Anna35 [415]

Answer:

The amount of interest earned at the end of 14 years would be $672.3486

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

$P = 2079, I = 0.0231, t = 14$

$E = 2079*0.0231*14 = 672.3486$

The amount of interest earned at the end of 14 years would be $672.3486

4 0

3 years ago

HELP PLEASE!! Brainliest to whoever gets it right.

Aleks04 [339]

Answer:

Step-by-step explanation:

i think you might want to wait for other people because i dont know for sure

4 0

3 years ago

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How to express the radical using the imaginary unit , i. Please help

Hitman42 [59]

Answer:

± 4i $\sqrt{5}$

Step-by-step explanation:

$\sqrt{-80}$ = $\sqrt{16(5)(-1)}$

= $\sqrt{16}$ × $\sqrt{5}$ × $\sqrt{-1}$

= 4 $\sqrt{5}$ i → [ $\sqrt{-1}$ = i ]

3 0

3 years ago

Solve the equation 4x-2(x+3)=8

sammy [17]

Answer:

4x-2x-6=8

2x-6=8

2x=8+6

2x=14

x= 14/2

x= 7

3 0

3 years ago

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