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Snowcat [4.5K]
3 years ago
9

Evaluate 150 - ( 2 +x)^ 3 when x - 2

Mathematics
1 answer:
AveGali [126]3 years ago
3 0

Answer:

86

Step-by-step explanation:

(2+2=4) 4 to the 3rd power is 64. 150 minus 64 is 86

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Find the critical point of the given function and then determine whether it is a local maximum, local minimum, or saddle point.
34kurt

Answer:

critical point of the given function f(x,y) = x²+y²+2xy is from line y = -x is the critical point of the function f(x0,y0) = 0

and it local minimum.

Step-by-step explanation:

Let the given function be;

f(x,y) = x²+y²+2xy

From above function, we can locate relative minima, maxima and the saddle point

f(x,y) = x²+y²+2xy = (x+y)²

df/dx = 2x+2y = 0 ---- (1)

df/dy =2y+2x = 0 ---- (2)

From eqn 1 and 2 above,

The arbitrary point (x0,y0) from line y = -x is the critical point of the function f(x0,y0) = 0

Then, from f(x,y) >= 0 for arbitrary (x,y) € R^n, the arbitrary point from the line x = -y is local minima of the function f.

8 0
3 years ago
My father invests $5000 in a new bank that has an annual
jeka94
$6900

$5000+3.8%=$5190

$190x10=$1900

$5000+$1900=$6900
5 0
2 years ago
Please help me with this question. I don’t understand how to do this.
Blizzard [7]

Answer:

133/152

Step-by-step explanation:

The probability of 2 independent events is the product of the individual events.  Independent means the first event has no effect on the probability of the second event.  Since we are replacing the first marble, the first even has no effect on the probability of the second event.  

There are 48 total marbles

Let A = pulling a blue marble

Let B = pulling a red marble

So

P(A) = 14/48

P(B) = 19/48

and

P(A then B) = (14/48)(19/48) = 266/2,304 = 133/1,152

8 0
3 years ago
Simplify the following expressions -5(-7x + 4 + 9y) ​
bonufazy [111]

Answer:

35x-45y-20

Step-by-step explanation:

-5(-7x+4+9y)

distribute the 5:

35x-20-45y

To put this in order, variables first so:

35x-45y-20

Hope this helps:)

3 0
3 years ago
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are
Ira Lisetskai [31]

Answer:

75

Step-by-step explanation:

for every 5 boys there are 4 girls

60 / 4 = 15

15 * 5 = 75

8 0
3 years ago
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