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3 years ago

What substitution Should be used to re-write 26(x^3+1)^2-22(x^3+1)-3=0 as a quadratic function?

Mathematics

1 answer:

mel-nik [20]3 years ago

7 0

Answer:

$x^3+1$

Step-by-step explanation:

$26(x^3+1)^2-22(x^3+1)-3=0$

Comparing to

$A(u)^2+B(u)+C =0$

Where A,B,C are constants

You should see that we need to substitute the $x^3+1$ with u.

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A lawn is in the shape of a trapezoid has an area of 1833 square meters. The length of one base is 52 meters and the length of t

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Draw a trapezoid and count the total lengths you have to get the answer

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3 years ago

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In a group of 20 pupils, 3 play the flute only.

spin [16.1K]

Answer:

$\dfrac{1}{4}$

Step-by-step explanation:

Given information:

Total number of pupils = 20
3 pupils play the flute
6 pupils play the piano only
6 play both instruments

We can assume that 3 pupils play the flute <u>only</u> as we have also been told that 6 pupils play both instruments.

To calculate the probability that a randomly chosen pupil plays neither instrument, first determine how many pupils do not play an instrument by subtracting the number of pupils who do play an instrument from the total number of pupils:

⇒ total number of pupils - pupils who play instruments

⇒ 20 - (3 + 6 + 6)

⇒ 20 - 15

⇒ 5

Therefore, 5 pupils do not play the piano and/or flute.

To calculate probability:

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

Therefore:

$\implies \textsf{Probability of a pupil playing neither instrument} = \dfrac{5}{20}=\dfrac{1}{4}$

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2 years ago

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Barton has 4 strawberries and Ona has 8. If they want to redistribute their strawberries so they each have an equal number, how

Tresset [83]

Answer:

2 strawberries

Step-by-step explanation:

Given that:

Number of strawberries :

Ona has 8

Barton has 4

For both Ona and Barton to have the same Nunber of strawberries :

(Ona + Barton) /2 = (8 + 4) / 2 = 12 /2 = 6

That means both Ona and Barton will have 6 strawberries each

Hence,

Barton who has 4 strawberries needs 2 more while Ona who has 8 will give out 2

Hence, Ona should give two strawberries to Barton.

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3 years ago

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Fave Actress? Mines Millie Bobby Brown

Ilya [14]

Answer:

Eugenio

Step-by-step explanation:

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3 years ago

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5/6 - 2/3 divide by 4/5

ollegr [7]

Answer:

5/24

Step-by-step explanation:

Start with the first part of the probelm 5/6 - 2/3

You need to find a common denominator of 6 and 3

common denominator= 6

so change 2/3 to 4/6

now you can subtract the top values

5/6-4/6

5-6=1

keep the denominator the same

= 1/6

Now divide 1/6 by 4/5

to divide you are going to multiply by the reciprocal so instead of 4/5 we are going to flip it to 5/4

1/6 x 5/4

5x1=5 and 6x4=24

= 5/24

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3 years ago