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1 year ago

Find the sum of these polynomials.(5x2 - 4x + 2) + (3x² + 9x-8)=

Mathematics

1 answer:

dexar [7]1 year ago

5 0

we have the expression

$(5x^2-4x+2)+(3x^2+9x-8)$

step 1

Group similar terms

$\begin{gathered} (5x^2+3x^2)+(-4x+9x)+(2-8) \\ Combine\text{ like terms} \\ 8x^2+5x-6 \end{gathered}$ <h2>The answer is option A</h2>

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Can anyone please help me step by step on how to solve this problem?

Sholpan [36]

Answer:

see explanation

Step-by-step explanation:

The volume (V) of a cuboid is calculated using the formula

V = lbh ( l is length, b is breadth and h is height )

Equate the product of the dimensions to 374

2(x + 3)(x + 9) = 374 ( divide both sides by 2 )

(x + 3)(x + 9) = 187 ← expand factors on left side

x² + 12x + 27 = 187 ( subtract 187 from both sides )

x² + 12x - 160 = 0 ← in standard form

Factor by considering the factors of the constant term (- 160) which sum to give the coefficient of the x- term (+ 12)

The factors are + 20 and - 8, hence

(x + 20)(x - 8) = 0

Equate each factor to zero and solve for x

x + 20 = 0 ⇒ x = - 20

x - 8 = 0 ⇒ x = 8

solutions are x = - 20, x = 8

However x > 0 ⇒ x = 8 and

x + 3 = 8 + 3 = 11

x + 9 = 8 + 9 = 17

Dimensions are 2cm, 11 cm, 17 cm

6 0

3 years ago

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4 years ago

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5 1/3 + ( 2 2/3 + 1 1/3 ) =

12345 [234]

Answer:

9 1/3

Step-by-step explanation:

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3 years ago

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Find the value of log 1 2 462 to four decimal places. –8. 8517 –0. 1130 0. 1130 8. 8517.

White raven [17]

Answer:

ten thousand is the place value of 12462 decimal palces

6 0

3 years ago

Q26. Division A has 15 students and division B has 20 students. Average score of students in division A is greater by 2 as compa

Romashka [77]

Step-by-step explanation:

Let a be the total score of Div. A

Let b be the total score of Div. B

given,

$\frac{a}{15} - \frac{b}{20} = 2$

as equation 1.

and

$b - a = 160 \\ - a + b = 160$

as equation 2.

Now multiply equation 2 by 1/20 to eliminate b to solve for a.

$( - a)( \frac{1}{20} ) + (b)( \frac{1}{20} ) = ( \frac{1}{20} )(160) \\ - \frac{a}{20} + \frac{b}{20} = 8$

take this new equation as equation 3.

now we will use equation 1 + equation 3 to eliminate b to solve for a.

$( \frac{a}{15} + ( - \frac{a}{20} )) + ( - \frac{b}{20} + \frac{b}{20} ) = 2 + 8 \\ \frac{a}{60} = 10 \\ a = 60 \times 10 \\ = 600$

Div.A total score = 600

Average Score = Total Score / Number of students.

$\frac{600}{15} \\ = 40$

3 0

3 years ago