3 years ago

1 Point

Mathematics

2 answers:

natta225 [31]3 years ago

5 0

The answer is 8 maps

natka813 [3]3 years ago

5 0

8 maps is your answer

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Find all real solutions and show work: <br> 2x^3-3x^2+18x-27=0

Amiraneli [1.4K]

Given:

The given equation is

$2x^3-3x^2+18x-27=0$

To find:

All the real solutions.

Solution:

We have,

$2x^3-3x^2+18x-27=0$

It can be written as

$x^2(2x-3)+9(2x-3)=0$

$(2x-3)(x^2+9)=0$

Using zero product property, we get

$(2x-3)=0$ and $(x^2+9)=0$

$2x=3$ and $x^2=-9$

$x=\dfrac{3}{2}$ and $x=\pm\sqrt{-9}$

We know that $x=\pm\sqrt{-9}$ is an imaginary number because there is a negative sign under the square root.

Therefore, $x=\dfrac{3}{2}$ is the only real solution of the given equation.

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3 years ago

20 POINTS! Which of the following equations shows how substitution can be used to solve the following system of equations?

natima [27]

Answer:

Is there a photo or no

Step-by-step explanation:

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3 years ago

Your town has seen a steady decrease of job opportunities by the amount of 10% every year. If the number of jobs available at th

anzhelika [568]

350,000*-10%=?
350,000*90%=?
?=315000

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3 years ago

2. Jessica is a waitress. Her customer’s bills totaled $300. She earned $45 in tips. What percent did her customers tip her? ___

zepelin [54]

Answer:

15%

Step-by-step explanation:

$45/$300 = 0.15 = 15%

4 0

3 years ago

Read 2 more answers

Use the properties of quadrilaterals to complete the statements. A has exactly one pair of parallel sides. A must have two pairs

vesna_86 [32]

Answer:

1. Trapezoid

2. Kite

3. Square, Rhombus

Step-by-step explanation:

Given - Use the properties of quadrilaterals to complete the statements.

To find - A ..... has exactly one pair of parallel sides.

A ....... must have two pairs of adjacent sides congruent.

A ........ must have all congruent sides.

Proof -

A Trapezoid has exactly one pair of parallel sides.

A Kite must have two pairs of adjacent sides congruent.

A Square, Rhombus must have all congruent sides.

Reason -

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.

A rhombus is a parallelogram with four congruent sides.

A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.

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3 years ago