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julsineya [31]
3 years ago
13

“Use the properties to rewrite this expression with the fewest terms possible:

Mathematics
1 answer:
Alinara [238K]3 years ago
5 0

Answer:

- 4x + 3y

Step-by-step explanation:

Distribute the 3 to the expression inside the parenthesis.

2 - 4x + 3 (y - 4) + 10

2 - 4x + 3y - 12 + 10

Bring the - 12 + 10 next to the 2 at the beginning of the expression.

2 - 12 + 10 - 4x + 3y

Add or subtract like terms (2 - 12 + 10 should cancel out).

0 - 4x + 3y

Answer:

- 4x + 3y

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Write a polynomial function in standard form with zeros at −3, −1, and 1.
Annette [7]

Answer:

f(x) = {x}^{3}  + 3 {x}^{2}  - x -3

Step-by-step explanation:

The given polynomial has zeros at:

x=−3, x=−1, and x=1.

This means that:

x+3, x+1, and x-1 are all factors of this polynomial.

The factored form of this polynomial is :

f(x) = (x + 3)(x + 1)(x - 1)

We expand the last two factors using difference of two squares.

f(x) = (x + 3)( {x}^{2}  - 1)

f(x) = x ( {x}^{2}  - 1) + 3( {x}^{2}  - 1)

f(x) = {x}^{3}  - x+ 3 {x}^{2}  -3

f(x) = {x}^{3}  + 3 {x}^{2}  - x -3

This is the standard form because it is now in decreasing powers of x.

8 0
3 years ago
Change 95.61 to degrees, minutes, and seconds.
12345 [234]
The answers are 95 36 36
6 0
3 years ago
Read 2 more answers
Is this triangle congruent? pls answer i will mark you brainlyist :)
tiny-mole [99]

Answer:

no

Step-by-step explanation:

6 0
3 years ago
Please help exponents and scientific notation
Anna007 [38]
Alright! When you have a constant to a power times another constant to a power (ex. [x^3 times x^3] ) you simply add the powers and keep the base [x^6]. When you have a power to a power (ex. [(12^3)^3] ) you multiply the powers and keep the base [12^9]. When you have a constant to a power divided by a constant to a power (ex. [ x^2 divided by x^5] ) you subtract the powers and keep the base. It's hard to see the questions, so I'll leave this here for you to use as a guide.
6 0
3 years ago
Aiden's mom calculated that in the previous month, their family had used 40% of the monthly income for
Natali5045456 [20]

Answer:

The money left after gasoline expenses was <u>$622.50</u>.

Step-by-step explanation:

Given:

Last month, family had used 40% of the monthly income for  gasoline, and 63% of that gasoline was consumed by the family's SUV.

The family's SUV used $261.45 worth of  gasoline previous month.

Now, to find the money left of the family monthly income after gasoline expenses.

Let the total money spend on gasoline be g.

As, given:

The family's SUV used $261.45 worth of  gasoline, which was 63% of the gasoline that was consumed.

According to question:

63\%\ of\ g=$261.45.\\\\

\frac{63}{100} \times g=261.45\\\\0.63\times g=261.45

<em>Dividing both sides 0.63 we get:</em>

g=\$415.

<u><em>The total money spend on gasoline = $415.</em></u>

Now, 40% of the monthly income is used for gasoline.

Let the total monthly income be x.

So, to get the monthly income we put an equation:

40\%\ of\ x=\$415\\\\\frac{40}{100}\times x=415\\\\0.40\times x=415

<em>Dividing both sides by 0.40 we get:</em>

x=\$1037.50.

<u><em>The total monthly income = $1037.50.</em></u>

Now, to get the money left after gasoline expenses we subtract the total money spend on gasoline from the total monthly income:

\$1037.50-\$415\\\\=\$622.50.

Therefore, the money left after gasoline expenses was $622.50.

6 0
3 years ago
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