All categories

3 years ago

The greatest integer function, shown below, is defined to be the greatest___ less than or equal to x.

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

Answer:

Integer

Step-by-step explanation:

The greatest integer function, F(x)=[[x]], is defined to be the greatest <u>integer that is </u>less than or equal to x.

The Greatest Integer Function is also referred to as the Floor Function.

It is written as F(x)=[[x]]

The value of ⌊x⌋ is the largest or the greatest integer that is less than or equal to x

You might be interested in

The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is 2/

xeze [42]

Answer:

P = 10/7 units

Step-by-step explanation:

Answer:

w ≥ 6

l ≥ 11

Step-by-step explanation:

The perimeter of a rectangle is equal to P = 2(l+w) where l=length and w=width. Here the length is 2/7. This means the width is 3/7. Substitute l=2/7 and w=3/7 into the perimeter equation. Then solve for P.

$P = 2(\frac{2}{7} +\frac{3}{7} )\\\\P = 2(\frac{5}{7})\\\\P = \frac{10}{7}$

6 0

2 years ago

Read 2 more answers

A triangle has sides of 4 and 6. What is a possible length of the third side?

svp [43]

Answer:

7.2

Step-by-step explanation:

Do 6^2 = 36

Do 4^2 = 16

Add them which equal 52

Square root of 52 is 7.2 to 1 decimal Place this is a possible length

3 0

3 years ago

Read 2 more answers

decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b2 − 4ac 2a u

Romashka [77]

Answer:

Step-by-step explanation:

A quadratic equation can be factorised if and only if there are rational roots.

For any quadratic equation the discriminant decides about the nature of roots.

Thus only if the discriminant is a perfect square we can have rational roots and in this case only factorization is possible.

In the given equation

$2x^2+ 7x+ 3 = 0\\a=2, b=7, c=3\\b^2-4ac = 1$

Since 1 is a perfect square we can factor and solve

$2x^2 +7x +3 = 0\\(2x+1)(x+3)=0\\x=-1/2 or x = -3$

4 0

2 years ago

Read 2 more answers

Based only on the information given in the diagram, which congruence

Wewaii [24]

Answer:

Option B

Option E

Step-by-step explanation:

By the use of following postulates we can prove the two right triangles to be congruent.

1). HA - [Equal hypotenuse and an cute angles]

2). LL - [Two legs should be equal]

3). LA - [One leg and one angle must be equal]

4). ASA - [Two angles and the side containing these angles should be equal]

In the given right triangles,

1). OJ ≅ IL

2). ∠O ≅ ∠I

3). ∠J ≅ ∠L

Therefore, two postulates HA, ASA will be applicable for the congruence of the two triangles given.

Options A and E will be the answer.

3 0

3 years ago

Read 2 more answers

The diagram below shows a rectangle with a shaded region. What is the area, in square meters, of the shaded region in the diagra

Mila [183]

Answer:

Step-by-step explanation:

Area of shaded region= area of rectangle- area of triangle

Area of rectangle= l×b

=9×3

= 27m²

Area of triangle= $\frac{1}{2}$ b×h

= $\frac{1}{2}$ ×3×3

= $\frac{9}{2}$ ⇒4.5

Area of shaded region= area of rectangle- area of triangle

=27-4.5

=22.5m²

5 0

2 years ago