Which number line best represents he solution to the inequality -18x +3 <48?

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's pe

Nookie1986 [14]

L=3w

So, the perimeter will be,
P= 2L + 2w
P= 2(3w) + 2w
P= 6w + 2w
P= 8w units

6 0

3 years ago

Which two values of x are roots of 4x^2-6x+1

aleksandr82 [10.1K]

x= 3+√5/4,3-√5/4

Step-by-step explanation:

1.In general, given ax^2+bx+c=0, there exists two solutions where:

x= -b+√b^2 - 4ac/2a, -b-√b^2-4ac/2a

2.In this case, a=4, b=-6 and c=1.

x=6+√(-6)^2-4×4/2×4, 6-√(-6)^2-4×4/2×4

3.Simplify.

x=6+2√5/8, 6-√5/8

4.Simplify solutions.

x=3+√5/4, 3-√5/4

6 0

2 years ago

Read 2 more answers

Two groups of students were asked how far they lived from their school. The table shows the distances in miles: Group A (distanc

iogann1982 [59]

The mean is equal for Group A and Group B.

<h2>Given </h2>

Two groups of students were asked how far they lived from their school.

The table shows the distances in miles:

Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2

Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8

The mean of any data set or observation is equal to the sum of all the observations and divided by the number of observations.

The formula used to calculate the mean is;

$\rm Mean = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}$

The mean of group A is;

$\rm Mean = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm GroupA \ mean = \dfrac{1 + 1.5 + 3.03 + 3.2 + 2.8 + 1.5 + 1.8 + 2.5 + 2.2}{9 }\\\\\rm Group A \ mean=\dfrac{ 19.53}{9}\\\\ Group A \ mean = 2.17$

The mean of group B is;

$\rm Mean = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm Group B \ mean = \dfrac{2 + 2.5 + 3.23 + 1.3 + 1.8 + 2.4 + 3 + 1.5 + 1.8}{9} \\\\Group B \ mean = \dfrac{19.53}{9}\\\\ Group B \ mean = 2.17$

Hence, the mean is equal for Group A and Group B.

To know more about Mean click the link given below.

brainly.com/question/12513463

7 0

2 years ago

Aston challenges his fater to a 100-m race. Aston asks to race again but wants to be given a head start. How much of a start sho

photoshop1234 [79]

Ah hah ! You said in there "race AGAIN". Tell us something about how the first race turned out, and we may have some information we can use to answer with. Right now we got nuttn.

7 0

4 years ago

You are building a dining room table for family dinners. The table has a length of 3x + 1 feet and a width of 3x - 1 feet. If th

igor_vitrenko [27]

Answer:

Length 7 feet and Width 5 feet

Step-by-step explanation:

we know that

The area of the rectangle ( a dining room table) is equal to

$A=LW$