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netineya [11]
3 years ago
5

One number is five more than another, and their sum is three less than three times the smaller. Find the numbers.

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Answer:

<u>The smaller number is 8 and the bigger number is 13</u>

<u>The correct equation form is B. 2x + 5 = 3x - 3</u>

Step-by-step explanation:

Smaller number = x

Bigger number = x + 5

Sum of the numbers = x + x + 5 = 3 - 3x

Let's solve the equation for the sum:

x + x + 5 = 3x - 3

2x + 5 = 3x - 3

2x - 3x = - 3 - 5 (Subtracting 5 at both sides)

-x = - 8

x = 8 (Multiplying by - 1 at both sides)

<u>The smaller number is 8 and the bigger number is 13</u>

<u>The correct answer is B. 2x + 5 = 3x - 3</u>

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What is a cubic polynomial function in standard form with zeros 1 -2 and 2?
Zolol [24]

Answer:

f(x) = x³ - x² - 4x + 4

Step-by-step explanation:

Given the zeros of a polynomial say x = a, x = b, x = c then

(x - a), (x - b), (x - c) are the factors of the polynomial and

f(x) is the product of the factors

here x = 1, x = - 2, x = 2, hence

(x - 1),(x + 2), (x - 2) are the factors and

f(x) = a(x - 1)(x + 2)(x - 2) ← a is a multiplier

let a = 1 and expand the factors

f(x) = (x - 1)(x² - 4)

     = x³ - 4x - x² + 4

     = x³ - x² - 4x + 4 ← in standard form

7 0
3 years ago
the family fine arts center charges $24 per adult and $12 per senior citizen for its performances. on a recent weekend evening w
Leto [7]

337 were senior citizens.

What is the system of equations?

A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.

Here, we

Let

x = the number of adult tickets sold

y = the number of senior tickets sold

483 people paid admission => a total of 483 tickets were sold and

x + y = 483

the total receipts were $7548

24x + 12y = 7548

by solving the system of equations

x + y = 483....(1)

24x + 12y = 7548....(2)

From equation (1), we get

x = 483-y....(3)

Now, we put the value of x in equation (2) and we get

24(483 - y) +12y = 7548

11592 - 24y + 12y = 7548

12y = 4044

y = 337

Now, we put the value of y in equation (1) and we get

x = 483 - 337

x = 146

Hence, 337 were senior citizens.

To learn more about the system of equations from the given link

brainly.com/question/25976025

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7 0
1 year ago
What is the solution to the following system?
Hunter-Best [27]

I am not 100% sure but I am pretty sure the answer is (3,-1,4)

4 0
3 years ago
Question 4 This question has two parts. First, answer Part A. Then, answer Part B. Part A Fill in the blank question. COLLEGE LI
Annette [7]

The equation that models the number of students who live in apartments will be 6n + 15

<h3>How to illustrate the equation?</h3>

Total number of students T = 17n + 23

Students who live in dorm rooms on campus D = 11n + 8.

Therefore, the students who live in apartments will be:

= 17n + 23 - (11n + 8)

= 6n + 15

In order to predict the number of students who will live on campus in 2020, we will need the students that do not share dorm rooms.

Learn more about equations on:

brainly.com/question/2972832

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7 0
1 year ago
Line HF is tangent to circle D at point E. SEgment DE is the radius of circle D, what is true about DEF?
ivolga24 [154]

When we draw a circle with the centre at D and have a tangent HF to the circle D at point E, the angle DEF will be a right angle.

In other words angle DEF = 90 degrees

Since HF, the tangent, is a straight line, the other angle DEH should also be = 90 degrees because the straight line has an angle of 180 degrees

Therefore angle DEF = angle DEH = 90 degrees

Therefore, angle DEF is congruent to angle DEH (Option A)


3 0
3 years ago
Read 2 more answers
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