Complete the table below. Number of reservations P(more passengers than seats available)

If x is a positive integer, for how many different values of x is StartRoot StartFraction 48 Over x EndFraction EndRoot a whole

DiKsa [7]

Answer:

For 3 different values of x

Step-by-step explanation:

Here, we want to get the values of x for which

√(48/x) is a whole number

We have to consider that the values of x that will make the expression a whole number must be less than or equal to 48

Also, we have to consider that, the division we have to make must yield a perfect square so as to have a whole number square root

The factors of 48 that can yield a whole number are;

1,2,3,4,6,8,12,16,24 and 48

However, the divisions that can yield a perfect square are

3 (yield 16)

12 ( yield 4)

48 ( yield 1)

So the numbers of the value of x that can yield a whole number is 3

7 0

3 years ago

Read 2 more answers

In a crazed neighborhood they are replacing the speed limit signs that give the speed in m/s.

Lilit [14]

Answer:

11 m/s

Step-by-step explanation:

In converting from mph to m/s, the appropriate conversion factor must be used which in this case is 0.44704 m/s.

Thus;

If 1mph = 0.44704 m/s

Then 25 mph = 25 × 0.44704 m/s = 11.176 m/s

5 0

3 years ago

Help me with it I will give you 20 points

cupoosta [38]

Answer:

a^2 +b^2=c^2

Given vertices of the triangle are A(4,4),B(3,5) and C(−1,−1)

We know that slope of line passing through the points (x 1,y 1) and (x 2,y 2

) is given by m= x 2−x 1

y

2

−y

1

,x

2



=x

1

Slope of AB i.e.m

1

=

3−4

5−4

=−1

Slope of BC i.e.m

2

=

−1−3

−1−5

=

−4

−6

=

2

3

Slope of CA i.e. m

3

=

4+1

=

5

=1

Clearly, m

1

m

3

=−1

⇒ line segments AB and CA are perpendicular to each other i.e; the given triangle is right angled at A(4,4).

Thus the points (4,4),(3,5) and (1,1) are the vertices of a right angled triangle.

Step-by-step explanation:

4 0

3 years ago

If another line is perpendicular to the line shown on the graph, what must be its slope

Shtirlitz [24]

It's B

Slope is negative, the other must be positive due to m1 x m2 = - 1

m1 = -2/5

The diagram shows a gradient of -2/5. So, the

reciprocal of this valve to make - 1 is 5/2 (which is the - 2/5 flipped upside down, but positive)

-2/5 x 5/2 = - 10/10 (or - 1)

Thus, the perpendicular line to this has a gradient of 5/2.

Hope this helps!

4 0

1 year ago

1. IF the function f(x) = 2(x – 3)2 – 4 is shifted vertically three units up and horizontally

hichkok12 [17]

Answer:

I believe it is 2(x-5)²−1

Step-by-step explanation:

The parentheses represent the horizontal shift. (X-__) is a shift to the right. (X+__) is a shift to the left. The last number of the function is the vertical shift. A negative number is shifting down and a post number is shifting up.

So, if the graph shifts up three units, then you add 3 + -4 to get -1. And if the graph shifts right 2 units, then you subtract 2 from -3 to get -5.

3 0

3 years ago