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
tangare [24]
3 years ago
6

The sum of a number and 24 times its reciprocal is 11. Find the numbers

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0
X+24*(1/x)=11
x+24/x=11
x²+24=11x
x²-11x+24=0
(x+3)(x-8)=0
x=-3, x=8
checking : 8+24*(1/8)=11, 8+3=11 correct
-3+24*(1/-3)=-3-8=-11 incorrect
number is 8, reciprocal is 1/8
You might be interested in
The graph of y = f(x) is shown. Choose all the true statements.
dexar [7]

Answer:

−2 is a member of the domain of f.

f(0) > 0

Step-by-step explanation:

Statement 1 is TRUE. Domain value includes set of values of x of the function. -2 is plotted on the x-axis on the graph. Therefore, it is a member of domain of f.

Statement 2 is incorrect. Range includes all possible y-values of the function. On the graph, no y-value plotted is -2. Therefore, -2 is NOT a member of the range of f.

Statement 3 is TRUE.

f(0) is approximately 2.2 on the graph. i.e. at x = 0, y ≈ 2.2.

Therefore, f(0) > 0.

Statement 4 is INCORRECT.

f(2) = 1, that is at x = 2, y = 1 as seen in the graph. Therefore, f(2) is not greater than 2.

8 0
4 years ago
PLEASE HELP!!!
mafiozo [28]

The product of the given polynomials is 12x^{6}y+8x²y^{4}.

The given polynomial is 4x²y(3x⁴+2y³).

We need to find the product of the given polynomials.

<h3>How to multiply the polynomials?</h3>

To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. add those answers together, and simplify if needed.

Now, using the distributive property we get 4x²y(3x⁴+2y³)=4x²y×3x⁴+4x²y×2y³

=12x^{6}y+8x²y^{4}

Therefore, the product of the given polynomials is 12x^{6}y+8x²y^{4}.

To learn more about the multiplication of polynomials visit:

brainly.com/question/20121808.

#SPJ1

6 0
2 years ago
Calculate the area of this triangle.
Aleks04 [339]

Answer:

40

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which equation represents the line shown in the graph below?
Mariulka [41]
The equation used to for slope intercept form is commonly used. 

y = mx + b

Let us find the y-intercept first.

The place where the line crosses the y axis is 2.

y = mx + 2

Now, find the slope.

Find two points on the line, then solve.

m = \frac{y2 - y1}{x2 - x1}

Alright, I found two points on the line:-  (-2,8) and (2, -4)

m= \frac{-4 - 8}{2--2}

m = -12/4
m = -3

The slope is -3. The y-intercept is 2

Lets put them into the equation

y = -3x + 2

Final answer:  
<span>B.    y = -3x + 2</span>
5 0
3 years ago
Read 2 more answers
Determine the lateral and total surface area
Kobotan [32]

The areas of the square pyramid are the amount of space on it

  • The lateral surface area is 292.5 square cm
  • The total surface area is 354.85 square cm

<h3>How to determine the lateral surface area?</h3>

The given parameters are:

Base (b) = 15 cm

Slant height (l) = 13 cm

The lateral surface area is calculated using:

L = 1.5bl

So, we have:

L = 1.5 * 15 * 13

Evaluate the product

L = 292.5

<h3>How to determine the total surface area?</h3>

This is calculated using:

T = L + 0.25√3b^2

So, we have:

T = 292.5 + 0.25√3 * 12^2

Evaluate

T = 354.85

Hence, the total surface area is 354.85 square cm

Read more about areas at:

brainly.com/question/24487155

3 0
3 years ago
Other questions:
  • Solve question shown below
    14·1 answer
  • 0.85% written as decimal
    8·1 answer
  • What is the GCF of 72 and 60
    14·2 answers
  • On the box and whisker plot below, what data calculations do the points B and D represent?
    12·1 answer
  • What is the average rate of change of y with respect to x over the interval [-2, 6] for the function y = 5x 2?
    13·1 answer
  • In a recent year, about 20,700,000 passengers traveled by train in the United States. What is this number
    6·1 answer
  • How many square inches are in 60 square feet
    5·1 answer
  • help me pleasee, lol. this question is probably so simple to answer but i don’t know what its really asking for. thank you so mu
    5·1 answer
  • 5 divided by 29.95 show work please​
    11·2 answers
  • The area of a circular field is 16π square miles. What is the diameter of the field in miles.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!