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
VMariaS [17]
3 years ago
6

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If f(X)=25-x^2 and

g(X)=x+5, what is (f/g)(x)? Write your answer in simplest form. When f(X)=25-x^2 and g(X)=x+5, (f/g)(x) .
Mathematics
2 answers:
Licemer1 [7]3 years ago
8 0

f(x)=25-x^2\\\\g(x)=x+5\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}=\dfrac{25-x^2}{x+5}=\dfrac{5^2-x^2}{x+5}=\dfrac{(5-x)(5+x)}{5+x}=5-x\\\\for\ x\neq-5

Arada [10]3 years ago
6 0

Answer: -x+5

Step-by-step explanation:

You might be interested in
Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

  • The centre of the ellipse is at the origin and the X axis is the major axis

  • It passes through the points (-3, 1) and (2, -2)

<h2>To Find:</h2>

  • The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1

Given that the ellipse passes through the point (-3, 1)

Hence,

\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1

Cross multiplying we get,

  • 9b² + a² = 1 ²× a²b²
  • a²b² = 9b² + a²

Multiply by 4 on both sides,

  • 4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1

Cross multiply,

  • 4b² + 4a² = 1 × a²b²
  • a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

  • 3a²b² = 32b²
  • 3a² = 32
  • a² = 32/3----(3)

Substituting in 2,

  • 32/3 × b² = 4b² + 4 × 32/3
  • 32/3 b² = 4b² + 128/3
  • 32/3 b² = (12b² + 128)/3
  • 32b² = 12b² + 128
  • 20b² = 128
  • b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1

\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
8 0
3 years ago
Whats is 0.000001 written as a power of ten
siniylev [52]
You need to move the decimal point to be at 1.

Since this is a decimal, the power will be negative.

I had to move the decimal 6 places.

So,

1^-6

I hope this helps!
~kaikers

8 0
3 years ago
20 POINTS Which situation shows the constant rate of change
IceJOKER [234]
The answer is A(jsjsjjsusudidjdidj)
5 0
3 years ago
An unprepared student makes random guesses for 6 multiple choice questions that have selections a -
kirill [66]
 <span>P(at least 1 ) = 1 - P(exactly none) = 1 - (4/5)^6 = .738
Hope this helps!!!:)</span>
6 0
3 years ago
A family has an annual income of ​$25,200. of​ this, 1/4 is spent for​ food, 1/5 for​ housing, 1/10 for​ clothing, 1/9 for​ savi
Firlakuza [10]
To answer the question, you have to multiply $25,200 by 1/4 (portion allocated/ alloted for the tax -
$25,200 * 1/4 = 25,200/4 (then divide 25,200 by 4)
                       = $6,300
Therefore, the family spent $6,300 for taxes from their annual income of $25,200.
8 0
3 years ago
Other questions:
  • A pyramid has a square bade with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volum
    10·1 answer
  • Which is greater 205.1000 or 0.205
    11·1 answer
  • 357 Miles in 5 hours ____miles per hour Find until rate
    12·1 answer
  • What is the estimate of -4.2 - (-2.9). Show your work
    12·1 answer
  • A quadratic equation is shown: x2 + 18x + 76 = 0 Which of the following is the first correct step to write the above equation in
    10·1 answer
  • I need help with this please :(
    6·1 answer
  • Does (-1, 5) make the inequality y &lt; 3x + 8 true?
    10·2 answers
  • Find two fraction with the same<br> denominator that are equivalent to 7/8 and 5/12 ​
    15·1 answer
  • In Buffalo, New York, the temperature was 10°F in the morning. If the temperature rose 10°F, what is the temperature now?
    15·1 answer
  • Write an equation for a quadratic function in factored form with
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!