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3 years ago

What is the simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3)?

Mathematics

2 answers:

Darina [25.2K]3 years ago

6 0

Answer: The answer is $-5x^2-25x+3.$

Step-by-step explanation: We are to find the simplest form of the following expression:

$E=2x(x-6)-7x^2-(13x-3).$

The simplification is as follows:

$E\\\\=2x(x-6)-7x^2-(13x-3)\\\\=2x^2-12x-7x^2-(13x-3)\\\\=-5x^2-12x-(13x-3)\\\\=-5x^2-12x-13x+3\\\\=-5x^2-25x+3.$

Thus, the simplified form of the given expression is $-5x^2-25x+3.$

vladimir1956 [14]3 years ago

4 0

-5x^2-25x+3 is the simplest form. xD :J

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(-5a+6)(-4a+3) <br><br> Cannot be a fraction

torisob [31]

Hey there!

To solve this problem, we will take a look at the FOIL Method.

FOIL is a simple acronym that can be used to multiply binomials. It stands for:

F - Front

O - Outer

I - Inner

L - Last

See the image below for an example of how to use this in the given situation.

<h3>Apply</h3>

Front: <em>Multiply the two terms out in the front.</em>

$(-5a)(-4a) = 20a^2$

Outer: <em>Multiply the two terms on the outsides.</em>

$(-5a)(3)=-15a$

Inner: <em>Multiply the two terms on the insides.</em>

$(6)(-4a)=-24a$

Last: <em>Multiply the two terms in the back.</em>

$(6)(3)=18$

Now, we add all of our answers from above:

$20a^2-15a-24a+18$

<h3>Simplify</h3>

Simplify by combining like terms:

$20a^2-39a+18$

There's our answer!

For a similar problem, see:

brainly.com/question/27980306

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2 years ago

Find the distance between the pair of points (2,6) and (7,-4)

ICE Princess25 [194]

The distance will be 11.1803.

3 0

4 years ago

Tennis balls are sealed in a pressurized container to maintain the rebound percentage

Darina [25.2K]

Answer:

<u>Rounding the results to the next hundredth, we have:</u>

<u>Bounce 1: 2 * 0.55 = 1.10 meters</u>

<u>Bounce 2: 1.10 * 0.55 = 0.61 meters</u>

<u>Bounce 3: 0.61 * 0.55 = 0.34 meters</u>

<u>Bounce 4: 0.34 * 0.55 = 0.19 meters</u>

<u>Bounce 5: 0.19 * 0.55 = 0.10 meters</u>

<u>Bounce 6: 0.10 * 0.55 = 0.06 meters</u>

<u>Bounce 7: 0.06 * 0.55 = 0.03 meters</u>

Step-by-step explanation:

Rebound percentage = 55% = 0.55

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.605 meters

Bounce 3: 0.605 * 0.55 = 0.33275 meters

Bounce 4: 0.33275 * 0.55 = 0.1830125 meters

Bounce 5: 0.1830125 * 0.55 = 0.10065688 meters

Bounce 6: 0.10065688 * 0.55 = 0.05536128 meters

Bounce 7: 0.05536128 * 0.55 = 0.0304487 meters

<u>Rounding the results to the next hundredth, we have:</u>

<u>Bounce 1: 2 * 0.55 = 1.10 meters</u>

<u>Bounce 2: 1.10 * 0.55 = 0.61 meters</u>

<u>Bounce 3: 0.61 * 0.55 = 0.34 meters</u>

<u>Bounce 4: 0.34 * 0.55 = 0.19 meters</u>

<u>Bounce 5: 0.19 * 0.55 = 0.10 meters</u>

<u>Bounce 6: 0.10 * 0.55 = 0.06 meters</u>

<u>Bounce 7: 0.06 * 0.55 = 0.03 meters</u>

3 0

4 years ago

In ΔDEF, \overline{DF} DF is extended through point F to point G, \text{m}\angle FDE = (2x+4)^{\circ}m∠FDE=(2x+4) ∘ , \text{m}\a

Sedaia [141]

Answer:

Step-by-step explanation:

See the diagram attached:

In a triangle, the sum of interior angles is equal to the exterior angle.

According the diagram, the sum of interior angles is given as:

Sum of interior = <FDE+<DEF

Given

<FDE = 2x+4

<DEF = 3x+5

Sum of interior = 2x+4+3x+5

Sum of interior = 5x+9

Exterior angle = <EFG = 7x-5

Equate the interior to the exterior and calculate the value of x:

5x+9 = 7x-5

Collect like terms

5x-7x = -5-9

-2x = -14

x = -14/-2

x = 7

Next is to get <FDE:

<FDE = 2x+4

<FDE = 2(7)+4

<FDE = 14+4

<FDE = 18°

Hence the measure of <FDE is 18°

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3 years ago

Question 9 of 10

Nonamiya [84]

Answer:

There are 3 terms

so it's answer A

Step-by-step explanation:

This is because terms are separated by + or - signs

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2 years ago