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3 years ago

Rationalizing factor of 3-√5

Mathematics

1 answer:

iris [78.8K]3 years ago

7 0

Answer:

Your rationalizing factor becomes : [ 9 + 25^(1/3) - 3 x 5^(1/3) ]. Therefore, Therefore, and both are rational and as such is also rational.

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Is anyone good with permutations? I can’t quite get the answer right for 4 b)

ki77a [65]

Answer: $\bold{4b)\quad _{10}C_2=45\qquad\qquad 5b)\quad _4C_1\ \cdot\ _7C_3=140}$

Step-by-step explanation:

4b) 2 members are pre-selected for the subcommittee, so there are 2 spots left and 10 people remaining to choose from. $_{10}C_2=\large\boxed{45}$

5b) 1 of the guards is pre-selected for the team, so there is only 1 spot left and 4 people remaining to choose from. There are still 3 spots for the forwards out of 7 people. $_4C_1\ \cdot\ _7C_3=4\times 35=\large\boxed{140}$

Note: Your answers are correct for 4a and 5a

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3 years ago

The ticket booth collects $127.50. Adult tickets cost $12, and children's tickets cost $7.50. If 14 tickets are sold, how many o

Basile [38]

I got 1 child and 10 adults.

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3 years ago

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Factor the polynomial: 3x^2 - 9x - 30

svp [43]

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3 years ago

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- 3 ^ -2 + 1

Evgen [1.6K]

Since you cannot have a negative exponent, you would bring a negative exponent from the numinator into the deniminator in order to make it positive or vice versa.
(2^3)+1
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8+1
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Therefore the answer would be 1.

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3 years ago

Solve the system of equations using substitution. Write your answer as an ordered triple in the form (x, y, z).

Art [367]

Answer:

(x, y, z) = (-2, 4, 0)

Step-by-step explanation:

Solving the last equation first, we have ...

2x = -4

x = -2 . . . . . divide by 2

Putting this in the first equation, we can write an expression for z:

-2 +y +z = 2

z = 4 -y . . . . . . . add 2-y

Putting this in the second equation, we have ...

4(-2) +5y +(4 -y) = 12

-4 +4y = 12

-1 + y = 3 . . . . . divide by 4

y = 4 . . . . . . . . add 1

Substituting this into the equation for z, we have ...

z = 4 - 4 = 0

The solution is (x, y, z) = (-2, 4, 0).

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3 years ago

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Rationalizing factor of 3-√5​

Rationalizing factor of 3-√5