answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ratelena [41]
1 year ago
7

The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t

han the width, x, which interval can be the possible widths?
Mathematics
1 answer:
valentina_108 [34]1 year ago
7 0
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7 
You might be interested in
While standing on a highway overpass, Jennifer wonders what proportion of the vehicles that pass on the highway below are trucks
Assoli18 [71]

Answer:Obtain a systematic sample by selecting every 20th vehicle that passes (in any lane and going in any direction).

Step-by-step explanation:

8 0
1 year ago
Which graph represents the compound inequality? –3 &lt; n &lt; 1
Alinara [238K]

<span>the graph  that represents the compound inequality –3 < n < 1 is the straight line from -3 to 1 in which there is a hollow circle in the -3 point and in the 1 point. This is because < means that the possible values of n is only greater than -3 exluding -3 and less than -1 excluding -1</span>

6 0
1 year ago
Read 2 more answers
three positive numbers are in Arithmetic Progression (A.P). the sum of the squares of the three numbers is 155. while the sum of
Alecsey [184]
Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.

We do not know what x and y stand for.  Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2  (common difference is positive)

Therefore the three numbers of the AP are
{7-2,7,7+2}, or
{5,7,9}


6 0
2 years ago
Nour drove from the Dead Sea up to Amman, and her altitude changed at a constant rate. When she began driving, her altitude was
attashe74 [19]

Answer:

y = 700x - 400

Step-by-step explanation:

A negative number represents an altitude below sea level.

Beginning: -400

y = mx + b

y = mx - 400

In 2 hours the altitude was now 1000 m.

1000 m - (400 m) = 1400 m

The altitude went up 1400 m in 2 hours. The rate of change is

1400/2 m/h = 700 m/h

The rate of change is the slope.

y = 700x - 400

3 0
1 year ago
What is next letter BE GJ LO QT
jeka57 [31]
<span>The letters BE GJ LO QT forms a sequence in which the first letter of each term is formed by counting five alphabets from the first letter of the preceding term while the last letter of each term is also formed by counting five alphabets from the last letter of the preceding term. Therefore, the next term in the sequence is VY.</span>
3 0
2 years ago
Other questions:
  • 1. how do you use a two-way frequency table to find possible associations and trends in data?
    9·1 answer
  • If f(x) = 3 – 2x and 1/x+5, what is the value of (f/g)(8)? –169 –1 13 104
    5·2 answers
  • Arthur took out a 20 year loan for $60,000 at an APR of 4.4% compounded monthly. Approximately how munch would save if he paid i
    5·2 answers
  • Find the quotient: –3.5 and –0.875
    6·2 answers
  • Sides AB and DC of the rectangle are increased in length by 50% and sides AD and BC are decreased in length by 50%. What is the
    8·1 answer
  • The distribution of the number of siblings for students at a large high school is skewed to the right with mean 1.8 siblings and
    12·1 answer
  • Given the lines AB and CD, determine the slope of line CD. Type a numerical answer in the space provided. If necessary, use the
    6·1 answer
  • 1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall
    5·1 answer
  • Express Rs 1.50 as a percentage of 200 cents
    10·1 answer
  • Dennis is numbering the pages of his book. Page 1 is right hand,page 2 a left hand page and faces 3,a right hand page. Which two
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!