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
azamat
3 years ago
10

PLEASE HELP ME WITH THIS PROBLEM!!!!!!

Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

n = 59

Step-by-step explanation:

I find it easiest to work problems of this kind using a graphing calculator. That way, extraneous solutions can be avoided. It seems to work well to rewrite the problem, so you're looking for a value of n that makes the result zero. Here, that would mean you want ...

... f(n) = √(n+5) -√(n-10) -1

_____

The solution by hand involves eliminating the root symbols. You do that by squaring the equation:

... n +5 -2√((n+5)(n-10)) + n -10 = 1

Now, we isolate the remaining root and square again.

... 2n -6 = 2√((n+5)(n-10)) . . . collect terms, add 2√( ) -1

... n -3 = √(n²-5n-50) . . . . . . . divide by 2

... n² -6n +9 = n² -5n -50 . . . . square both sides

... 59 = n . . . . . . . . . . . . . . . . . add 50 +6n -n²

You might be interested in
One side of a square is 11 ft. Tom found that the area of his square is 22. Is Tom correct? Explain why he is correct or incorre
guapka [62]

Answer:

Tom is incorrect.

Step-by-step explanation:

A square by definition implies that all sides of the square are the same measurements. In the case of finding the area, A = s². Tom, however, solved it as A = 2s.

In this case:

Area of square = s² = 11² = 121 ft²

121 ft² is the correct measurement.

~

3 0
3 years ago
Read 2 more answers
Please help. If f(x)= 2^x-1+3 and g(x)=5x-9 what is (f-g)(x)??
Readme [11.4K]

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

<span>\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}<span><span>(<span><span>​g</span>​<span>​f</span><span>​​</span></span>)</span>(x)=<span><span>​<span>4−5x</span></span>​<span>​<span>3x+2</span></span><span>​​</span></span></span></span>

4 0
3 years ago
Read 2 more answers
Select the equation of the line that passes through the point (3, 5) and is
ohaa [14]

Answer:

<h2>1) y = 5</h2>

Step-by-step explanation:

x = 4 it's a vertical line.

Perpendicular line to a vertical line is a horizontal line.

A horizontal line has equation y = a.

A horizontal line passes through the point (3, 5) → x = 3 and y = 5.

Therefore the equation is y = 5

3 0
3 years ago
Read 2 more answers
What is larger a meter or 3feet
natta225 [31]

Answer:

Meter by a bit

8 0
2 years ago
Read 2 more answers
for your career project, you plan to design ans sell t-shirts. During the first 5 weeks of selling the shirts, the functions f(s
stepladder [879]

Using translation concepts, we have that:

  • The new profit equation is f(x) = (8s/3) - 20, which is a vertical stretch by a factor of 2 of the graph of f(s).
  • Selling 300 shirts, the new profit is of $780.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the profit function is given by:

f(s) = 4/3s - 20

To double the function, we multiply the slope by 2, hence the new profit equation is:

f(s) = 8/3s - 20.

This new function is a vertical stretch by a factor of 2 of the graph of f(s).

The new profit selling 300 shirts is given by:

f(300) = (8/3) x 300 - 20 = 8 x 100 - 20 = $780.

More can be learned about translation concepts at brainly.com/question/28373831

#SPJ1

4 0
1 year ago
Other questions:
  • Both the average flow rate and average flow time of a process are increased by 50%. what will be the percentage change
    12·1 answer
  • A car uses 20 gallons of fuel for 440 miles. how much fuel will the car use to travel 1054 miles
    8·1 answer
  • 2) find the area of each. Leave your answer in terms of Pi. <br> 4) find the area of each.
    11·1 answer
  • Helppppppppppppppppppppppppp
    11·2 answers
  • I WILL MARK BRAINIEST
    15·1 answer
  • SOMEBODY PLS HELP ILL GIVE BRAINLIEST
    14·2 answers
  • A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle l
    7·1 answer
  • Question 1(Multiple Choice Worth 1 points)
    5·1 answer
  • Solve for t<br><br><br>t - 3= −1
    7·1 answer
  • Indicate whether the measures 3.1, 4.8, and 10.2 can be the side lengths of a triangle. If they can, classify the triangle.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!