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denpristay [2]
2 years ago
9

Select all the correct answers

Mathematics
1 answer:
brilliants [131]2 years ago
5 0

Answer:

Options (1), (2), (3), (6)

Step-by-step explanation:

Given functions are,

f(x) = x^{\frac{1}{3} }

h(x) = (2x)^\frac{1}{3}+5

Option (1)

y-intercept of function 'h',

x = 0,

h(x) = (0)^\frac{1}{3}+5

      = 5

So y-intercept is (0, 5)

True.

Option (2)

Domain of function 'h' is (-∞, ∞)

True

Option (3)

As x approaches ∞, h(x) approaches ∞.

True.

Option (4)

For x intercept,

h(x) = 0

(2x)^\frac{1}{3}+5=0

2x = (-5)³

2x = -125

x = -62.5

So the x-intercept is (-62.5, 0)

False.

Option (5)

Range of the function 'h' is (-∞, ∞)

False

Option (6)

As x approaches to -∞, h(x) approaches to -∞.

Since, range of the function is (-∞, ∞), given statement is true.

Therefore, Options (1), (2), (3), (6) are correct.

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ludmilkaskok [199]

Answer:

The probability of selecting both yellow is 5/22.

Step-by-step explanation:

Given the number of yellow marbles = 6

Black marbles = 4

Purple marble = 2

Now find the total number of marbles in the jar.

Thus total marbles = Yellow marbles + Black marbles  + Purples marble

Now insert the values in the above formula.

Total marbles = 6 + 4 + 2

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The probability of 2 yellow marble:

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Thus, the probability of selecting both yellow is 5/22.

3 0
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The answer would be   A = 54raiz (3) + 18raiz (91)
Formula:
 A = Ab + Al Where, Ab=base area A= lateral area

 The area of the base is: Ab = (3/2) * (L ^ 2) * (root (3)) Where, L= side of the hexagon. Substitute: Ab = (3/2) * (6 ^ 2) * (root (3)) Ab = (3/2) * (36) * (root (3)) Ab = 54raiz (3)


 The lateral area is: Al = (6) * (1/2) * (b) * (h) Where, b= base of the triangle h= height of the triangle Substitute: Al = (6) * (1/2) * (6) * (root ((8) ^ 2 + ((root (3) / 2) * (6)) ^ 2)) Al = 18 * (root (64 + 27)) Al = 18raiz (91)

 The total area is: A = 54raiz (3) + 18raiz (91)

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20/5 should be correct
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Bumek [7]

Answer:

multiply

Step-by-step explanation:

just multiply all of them and then u will get your answer I hope this helped ❤

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