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
Anit [1.1K]
3 years ago
8

The product of two positive numbers is 48. the larger number is 13 more than the smaller. Find both numbers [Only an algebraic s

olution will be accepted.]
Mathematics
1 answer:
Valentin [98]3 years ago
5 0

Answer:

Larger number:

16

Smaller number

3

Step-by-step explanation:

Larger number: 16

Smaller number: 3

Explanation:

Suppose the larger number is

a

and the smaller number is

b

.

You solve the following system of equations:

a⋅b=48

a−13=b

Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48

a 2−13a=48

a2−13a−48=0

Factor the polynomial:

(a−16)(a+3)=0

a=16 or a=−3a is positive so a=16.

We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.

You might be interested in
Can i have help please
IgorLugansk [536]
(y + 1)^3 would just be dividing the two

If you want it completely simplified, then it’s the following:

(y + 1)(y + 1)(y + 1)

= y^2 + y + y + 1 (y + 1)

= y^2 + 2y + 1 (y + 1)

= y^3 + y^2 + 2y^2 + 2y + y + 1

= y^3 + 3y^2 + 3y + 1
7 0
3 years ago
Зp - р<br> Please lend me a helping hand
Troyanec [42]

Answer:

Step-by-step explanation:

If scientific notaion it would be 3p^2 if not it would be 3p times 2

3 0
2 years ago
Read 2 more answers
What is the value of the digit 6 in 18.06?
Crank

Answer:

hundredths

Step-by-step explanation:

5 0
3 years ago
HELP QUICK will mark brainliest
slamgirl [31]

Answer:

A

Step-by-step explanation:

(5x4) - 6 / 2 = x

7 0
3 years ago
Read 2 more answers
Please help! If you do you will get 'Brainliest'
salantis [7]

Answer:

D is your answer.

Step-by-step explanation:

if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half

7 0
3 years ago
Read 2 more answers
Other questions:
  • Liam drank 54 millimeters of water. how many liters did Liam drink
    7·2 answers
  • Let the graph of f(x) represent the cost in thousands of dollars to feed the zoo animals daily, where x is the number of animals
    5·2 answers
  • Does a function have to be linear
    5·1 answer
  • What is the zero of 2x + 3y = 12
    11·2 answers
  • Use the diagram of a sphere inscribed in a cylinder to describe the relationship between the volume of a
    9·2 answers
  • Solve for x.....................
    8·2 answers
  • 2. Please explain WHY those are the answers
    14·1 answer
  • Write the curve described by the parametric equations x=5-cost and y=2+2sint in rectangular form.
    7·1 answer
  • Which of the following are true of linear functions? Select all that apply.
    6·1 answer
  • A 36 oz. container of punch costs 2.99 and a 48 oz. container costs $3.75 which is the better buy
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!