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3 years ago

Use the x-intercept method to find all real solutions of the equation. -9x^3-72x^2+36=3x^3+x^2-3x+8

Mathematics

1 answer:

larisa86 [58]3 years ago

6 0

-9x^3-72x^2+36=3x^3+x^2-3x+8 Add 9x^3 to both sides.

-72x^2 + 36 = 3x^3 + 9x^3 + x^2 - 3x + 8 Add 72x^2 to both sides

36 = 12x^3 + 73x^2 - 3x + 8 Subtract 36 from both sides.

0 = 12x^3 + 73x^2 - 3x - 28

It does factor, but it is not very nice.

(x + 6.06)(x - 6.09)(x + 0.632)

If there is any kind of error please report it in a note below.

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3 years ago

Read 2 more answers

For any real number x,x2>x3

arlik [135]

No. That's only true if x is less than ' 1 ', including anything negative. If x is more than +1, then the square is LESS than the cube.

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3 years ago

Write all the names that apply to each number .

sasho [114]

Definitions:
1. A real number can be represented on a number line.
2. A rational number can be represented as a fraction, with both the numerator and denominator as integers. The denominator cannot be zero.
3. An irrational number has decimals that go on indefinitely.
4. An integer is a real number that is countable.
5. A repeating decimal has a group of numbers that repeat indefinitely as decimals.
6. A complex number involves the use of the quantity i, defined as i² = -1.

Answers:
a. 7/8
Real, Rational.

b. √36
Real, Rational because its value is +6 or -6.

c. √24
Real, Irrational.

d. 0.75
Real, rational because 0.75 = 3/4.

e. 0
Real, rational

f. √(-100)
Complex, because √(-1) * √100 = +/- i√100

g. $5.\overline{45}$
Irrational, Repeating decimal because
$5.\overline{45} = 5.4545454545 ...$

h -18/6
Real, Integer, Rational because -18/6 = -3.

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3 years ago

Tommy and his wife went to the store and bought groceries. Their subtotal was $143.50. If the sales tax was 8%, what was the tot

Taya2010 [7]

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4 years ago

3x 5y = 78 2x - y = 0 the point of intersection of the lines has an x-coordinate of _____. 78 6 -6

Thepotemich [5.8K]

The supplied lines' point of intersection has the x coordinate is 6.

<h3>What is coordinate geometry?</h3>

A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

The x coordinate of the location where the ensuing lines intersect must be chosen.

3x + 5y = 78 ...........................(1)

2x - y = 0 ...............................(2)

The given system of equations must be solved in order to determine the x coordinate of the site of intersection.

Equation (ii) provides us with

2x = y

y = 2x ........................(3)

Equation I yields the result when the value of y from equation (iii) is substituted.

3x + 5(2x) = 78

3x + 10x = 78

13x = 78

x = 78/13

x = 6.

As a result, the supplied lines' point of intersection has the x coordinate 6.

To know more about coordinate geometry visit:

brainly.com/question/12964550

#SPJ4

I understand that the question you are looking is :

3x 5y = 78 2x - y = 0 the point of intersection of the lines has an x-coordinate of _____.

A. 7

B.8

C. 6

D. -6

3 0

2 years ago