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2 years ago

1) Given h(x)=x-5 a) Determine h^2 b)determine h^3

Mathematics

1 answer:

ElenaW [278]2 years ago

6 0

Answer:

A) x^2-10x+25 B)X^3-15x^2+75x-125

Step-by-step explanation:

H^2=(x-5)(x-5)=x^2-10x+25

H^3=(x-5)(x-5)(x-5)=X^3-15x^2+75x-125

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In simplest radical form, what are the solutions to the quadratic equation 6 = x2 - 10x?

WARRIOR [948]

Answer:

x = $5 - \sqrt{31}$ , $5 + \sqrt{31}$

Step-by-step explanation:

6 = x^2 - 10x

0 = x^2 - 10x - 6

Let's use the quadratic formula. ( $x = \frac{-b +- \sqrt{b^2 - 4ac}}{2a}$ )

$x = \frac{10 +- \sqrt{-10^2 - 4(-6)}}{2}$

x = $\frac{10 +- 2\sqrt{31} }{2}$

= 5 +- $\sqrt{31}$

x = $5 - \sqrt{31}$ , $5 + \sqrt{31}$

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3 years ago

In a group of 31 pupils, 4 play the flute only. 14 play the piano only. 7 play neither instrument. A student is selected at rand

solmaris [256]

Answer:

probability the student plays both instruments is [ $\frac{6}{31}$ ]

<h2> <u>Explanation</u>:</h2>

students who play both instruments = total students - flute players - piano players - students who play neither instruments

students who play both instruments

→ 31 - 4 - 14 - 7

→ 6 students play both instruments.

probability:

<h2>→ $\boxed{\frac{students- who -play- both- instruments}{total -students} }$ </h2><h2>→ $\boxed{\frac{6}{31} }$ </h2>

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1 year ago

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statuscvo [17]

Answer:

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Step-by-step explanation:

none

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3 years ago

What is the best measure of center for the following data set?

Rom4ik [11]

Answer:

b) median: there are 7 numbers listed; 20 is the middle number among them

range: subtract lowest from highest number 25-2=23

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mode: place numbers in order (smallest to greatest), then see which number appears the most 2, 18, 18, 20, 22, 24, 25=18

Step-by-step explanation:

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2 years ago

Calculate the volume of a rectangular prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm. (As before, you

maria [59]

Answer:

85.932 cm³

Step-by-step explanation:

The volume of rectangular prism is obtained as the product of its length (l) by its width (w) and by its height (h):

$V=l*w*h$

The volume of a prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm is:

$V=4.4*3.1*6.3\\V=85.932\ cm^3$

The volume of this prism is 85.932 cm³.

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2 years ago