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3 years ago

Simplify (5x^2 + 3x + 4) + (2x^2 − 6x + 3).

Mathematics

2 answers:

raketka [301]3 years ago

7 0

Answer:

$\Large \boxed{7x^2-3x+ 7}$

Step-by-step explanation:

$(5x^2 + 3x + 4) + (2x^2 -6x + 3)$

Removing brackets.

$5x^2 + 3x + 4 + 2x^2 -6x + 3$

Grouping like terms.

$(5x^2 + 2x^2) + (3x -6x)+ (4 + 3)$

Combining like terms.

$(7x^2) + (-3x)+ (7)$

s2008m [1.1K]3 years ago

4 0

Answer:

7x² - 3x + 7

Step-by-step explanation:

Step 1: Write out expression

5x² + 3x + 4 + 2x² - 6x + 3

Step 2: Combine like terms (x²)

7x² + 3x + 4 - 6x + 3

Step 3: Combine like terms (x)

7x² - 3x + 4 + 3

Step 4: Combine like terms (constants)

7x² - 3x + 7

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Which polynomials are in standard form?

xeze [42]

Polynomials in standard form:

$t^4 - 1\\\\-2t^2 + 3t + 4\\\\4t - 7$

Solution:

Standard form of polynomials: terms are ordered from biggest exponent to lowest exponent

Option A:

$t^4 - 1$

The above is a polynomial

Where, largest exponent is arranged first

Therefore, it is standard form of polynomial

Option B

$-2t^2 + 3t + 4$

Here, exponents are from greatest to least

Therefore, it is standard form of polynomial

Option C

$4t - 7$

Here, "t" is a variable. The first term has largest degree

Therefore, it is standard form of polynomial

3 0

3 years ago

Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. At the end

navik [9.2K]

Answer: $4900 at 8%

$6000 at 11%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 8% interest.

Let y represent the amount which he invested in the account paying 11% interest.

Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. This means that

x + y = 10900

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 8% interest,

P = $x

T = 1 year

R = 8℅

I = (x × 12 × 1)/100 = 0.08x

Considering the account paying 11% interest,

P = $y

T = 1 year

R = 11℅

I = (y × 6 × 1)/100 = 0.11y

At the end of the first year he had earned $1052 in interest., it means that

0.08x + 0.11y = 1052 - - - - - - - - - -1

Substituting x = 10900 - y into equation 1, it becomes

0.08(10900 - y) + 0.11y = 1052

872 - 0.08y + 0.11y = 1052

- 0.08y + 0.11y = 1052 - 872

0.03y = 180

y = 180/0.03

y = 6000

x = 10900 - y = 10900 - 6000

x = 4900

3 0

3 years ago

\Caden made a four-digit number with a 3 in the thousands place, a 1 in the ones place, a 7 in the tens place, and a 2 in the hu

Oksana_A [137]

Answer:

1723

Step-by-step explanation:

Ones place, tens place, hundreds place, thousands place

6 0

3 years ago

Read 2 more answers

Find the smallest positive angle θ in QI for which tan θ = 1

sveticcg [70]

I believe the correct answer is 45 degrees. The smallest positive angle θ in QI for which tan θ = 1 would be 45 degrees. We obtain it as follows:

tan θ = 1
θ = tan^-1 (1)
θ = 45 degrees

Hope this answers the question. Have a nice day.

4 0

3 years ago

Given the arithmetic series 2 4 6...=420. find the first term a and the common difference d

Trava [24]

First term is 2 and the common difference is the value by which it increases which is 2.

7 0

3 years ago