Answer:
(a)
x cubed is
=x^3=x3
5 times the cube of x is
=5x^3=5x3
4 times x is
=4x=4x
the quotient of 4 times x and 3 is
=\frac{4x}{3}=34x
so,
the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is
=5x^3-\frac{4x}{3}=5x3−34x ..........Answer
(b)
5 times cube of x is
=5x^3=5x3
5 times cube of x divided by 4 times x is
=\frac{5x^3}{4x}=4x5x3 ..........Answer
(c)
difference of 5 times x cube and 4 is
=5x^3 -4=5x3−4
so,
the quotient of the difference of 5 times x cube and 4 and x is
=\frac{5x^3-4}{x}=x5x3−4 ...........Answer
(d)
difference of 5 times x and 4 is
=5x-4=5x−4
so,
the cube of the difference of 5 times x and 4 is is
=(5x-4)^3=(5x−4)3 ............Answer
Answer:
the hypotenuse of the given triangle is 48.5 ft
Step-by-step explanation:
the ways to detect the hypotenuse of a triangle are :
- longest side of a right angled triangle is the hypotenuse of the triangle .
- side opposite to the right angle ( 90° ) is the hypotenuse of the right angled triangle .
<em> </em><em>in</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>figure</em><em> </em><em>the</em><em> </em><em>longest</em><em> </em><em>side</em><em> </em><em>is</em><em> </em><em>48</em><em>.</em><em>5</em><em>,</em><em> </em><em>hence</em><em> </em><em>it's</em><em> </em><em>the</em><em> </em><em>hypotenuse</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer: Option B.
Step-by-step explanation:
For this exercise it is important to remember that, by definition, a relation is a function if and only if each input value has an unique output value.
The input values are the values of the variable "x" and the output values are the values of the variable "y".
You can observe in the table shown in the picture, that the input value -2 has two different output values:

Notice that the input vale -1 has two different output values too:

Therefore, based on this, you can conclude that the information given in the table is a relation but not a function.