1answer.
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]
3 years 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]3 years 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
Someone please help.
Alexxandr [17]

Hi there!

f(x)+f(x+1)=4f(x)

There are 3 parts to this equation:

f(x)

f(x+1)

4f(x)

We must first determine these three parts separately.

<u>1) f(x)</u>

We're given that  f(x)=3^x:

⇒ f(x)=3^x:

<u>2) f(x+1)</u>

Now, we must find f(x+1). To do so, add 1 to x in the original function f(x)=3^x:

⇒ f(x+1)=3^x^+^1

<u>3) 4f(x)</u>

To find 4f(x), multiply the original function f(x)=3^x by 4:

4f(x)=4*3^x:

<u>4) Put it all together</u>

Now, plug each of the three parts into the equation f(x)+f(x+1)=4f(x):

f(x)+f(x+1)=4f(x)

3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x

Factor the left side

3^x*(1+3)=4*3^x

Divide both sides by 3^x

1+3=4\\4=4

Because this equation is true, f(x)+f(x+1)=4f(x) is therefore true.

I hope this helps!

3 0
3 years ago
write a word problem that can be solve by drawing an array. Then draw the array and solve the problem.
Alborosie
The answer is B hope this helped
4 0
3 years ago
One spinner is divided into five equal sections numbered 1 to 5. A second spinner is divided into seven equal sections numbered
krek1111 [17]

Answer:

35 outcomes

Step-by-step explanation:

Multiply the number of section  of both spinners

5×7= 35

8 0
3 years ago
Can someone please help me with this. (please show work)​
marysya [2.9K]
This for the first one

6 0
2 years ago
What is the answer to question 12
alex41 [277]
I'm not sure if its only my computer, but neither the photograph nor the question itself appears on my screen, but what is question #12?
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of 3 in 2,135,789
    11·2 answers
  • The measure of an angle is equal to the meausure of its complement. find the degree measure of the angle
    9·1 answer
  • 50 Pts
    8·2 answers
  • You want to know how many miles harriet went. which situation about her exercise best represents the inequality 15x 7 &gt; 52?
    9·1 answer
  • It took Everly 55 minutes to run a 10-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minu
    10·1 answer
  • Plz help! what is the end of behavior of f(x)?
    15·1 answer
  • Which set of ordered pairs represents a function?
    13·1 answer
  • Whats the answer for 4c-2=9c+8
    6·1 answer
  • A wire 18 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece.
    14·1 answer
  • Lily and Sabrina often make some extra pocket money by painting garden sheds. Lily can paint a shed in 5 hours working alone, wh
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!