Identify each of the following as rational or irrational.

1 answer:

4 0

Answer:A rational number can be written as a fraction of two integers. √23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction. 104.42 is rational because it can be expressed as 10442/100 . We can express it as this because.

Step-by-step explanation:

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If h(x)=6-x what is the value of (h•h)(110)

Irina18 [472]

The given function : h(x) = 6 - x

We know that for any functions f(x) and g(x)

f*g (x)=f(x)\times g(x)

Therefore , h*h (x)=h(x)\times h(x)

h*h (x)=(6-x)(6-x)=(6-x)^2

h*h (x)=(6)^2-2(6)(x)+x^2 [ Using identity (a-b)^2=a^2+2ab+b^2 ]

h*h (x)=36-12(x)+x^2

\-------->\ h*h (x)=36-12(x)+x^2 Now, at x= 10 , we get

h*h (10)=36-12(10)+(10)^2

h*h (10)=36-120+100=36+100-120=136-120=16

Hence, the value of (h*h)(10) = 16

hoped it helped

8 0

2 years ago

The length of a rectangle is 4 ya more than twice the width x. The area is 510 yd^2. Find the dimensions of the given shape

Furkat [3]

Answer:

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

Step-by-step explanation:

Given:

The shape is of rectangle,

Width of rectangle = x

Area of rectangle = 510 yd²

According to the given condition

Length of rectangle = 4 + 2x

To Find:

length =?

Width = ?

Solution:

We know that,

$\textrm{Area of rectangle} = Length\times Width$

On substituting the given values we get

$510 = (4 + 2x)\times x\\510 = 4x+2x^{2}\ \textrm{using distributive property}\\\textrm{dividing throughout by two}\\255=2x+x^{2} \\\\x^{2} +2x -255 = 0\\$

Which is a quadratic equation so we will apply splitting the middle term that is factorization we get

∴ $x^{2}+ 17x -15x -255=0\\x(x+17)-15(x+17)=0\\(x-15)(x+17)=0\\\therefore x-15 =0\ or\ x+17=0\\\\\textrm{x cannot be negative i.e -17}\\\therefore x=15$