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Scilla [17]
3 years ago
14

State if the given binomial is a factor of the given polynomial (10x^3+95^2+40x-45)÷(x+9)​

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

write it neatly

Step-by-step explanation:

pls once more

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melomori [17]
I hope this helps you

7 0
3 years ago
10. Write an inequality for the sentence: More than 75 people attended the basketball game.
tester [92]

Write an inequality for the sentence : More than 75 people attended the basketball game .

Answer : X > 75

7 0
3 years ago
If the height of the base is 15 and the width of the base is 8 what is the length of the hypotenuse
tino4ka555 [31]

Answer:

The length of the hypotenuse is 17.

Step-by-step explanation:

15^2 + 8^2 = 17^2.

I found this out by doing:

15 x 15 = 225

8 x 8 = 64

225 + 64 = 289

\sqrt{289} = 17

Hope this helps you! :)

7 0
3 years ago
Find the rate of change of f(x, y, z) = xyz in the direction normal to the surface yx2 + xy2 + yz2 = 3 at (1, 1, 2).
Paladinen [302]

Answer:

Rate of change = 18/√74

Step-by-step explanation:

The rate of change of f at x_o in the direction of the unit vector v is given by: ∇f(x_o) × v

Now, for us to get the direction of the unit vector, since we are told that f(x, y, z) = xyz in the direction normal to the surface yx² + xy² + yz² = 3, we will use; g(x, y, z) = yx² + xy² + yz² = 3 and k =3 to give;

∇g(x,y,z) = (2xy + y², (x² + 2xy + z²), 2yz)

So;

∇g(1, 1, 2) = (2(1 × 1) + 1²) , (1² + 2(1 × 1) + 2²), 2(1 × 2))

This gives;

∇g(1, 1, 2) = (3, 7, 4)

Now,

||∇g(1, 1, 2)|| = √(3² + 7² + 4²)

||∇g(1, 1, 2)|| = √74

Normal vector would be given by the formula;

v = [∇g(1, 1, 2)]/[||∇g(1, 1, 2)||]

Thus;

v = (3, 7, 4)/√74

Let's not forget that our ∇f(1, 1, 2) = (1, 1, 2)

Thus, rate of change is given by;

∇f(1, 1, 2) × v = (1, 1, 2) × (3, 7, 4)/√74

This gives;

Rate of change = [(1 × 3) + (1 × 7) + (2 × 4)]/√74 = 18/√74

7 0
3 years ago
How would you multiply fractions to whole numbers?
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1)24 2)21..............
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3 years ago
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