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sladkih [1.3K]
3 years ago
14

Simplify –(5x3 + x2) + 4(x3 – 3x2). Show your work.

Mathematics
2 answers:
SpyIntel [72]3 years ago
8 0

Answer:

Step-by-step explanation:

-(5x³+x²)+4(x³-3x²)

=-5x³-x²+4x³-12x²

=-x³-13x²

Stella [2.4K]3 years ago
4 0

Answer:

x^3 - 13x^2.

Step-by-step explanation:

–(5x3 + x2) + 4(x3 – 3x2)  Removing the brackets:-

= -5x^3 - x^2 + 4x^3 - 12x^2

= -5x^3 + 4x^3 - x^2 - 12x^2

= x^3 - 13x^2.

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2x + y = 9<br> x = y - 3
lawyer [7]

Answer:

x=2 and y=5

Step-by-step explanation:

Steps:

I will solve your system by substitution.

x=y−3;2x+y=9

Step: Solve x = y − 3 for x:

Step: Substitute y − 3 for x in 2x + y = 9:

2x+y=9

2(y−3)+y=9

3y−6=9(Simplify both sides of the equation)

3y−6+6=9+6(Add 6 to both sides)

3y=15

3y/3=15/3  (Divide both sides by 3)

y=5

Step: Substitute 5 for y in x = y − 3 :

x=y−3

x=5−3

x=2(Simplify both sides of the equation)

Answer:

x=2 and y=5

3 0
3 years ago
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When asked to factor the x^2-121 a student gives the answer (x-11)(x-11) what is wron with this answer?
Art [367]

Given expression is x² - 121

This is called Difference of Squared terms, we have a formula that is given as :-

a² - b² = (a - b) · (a + b)

Now using the above formula in the given expression, we get :-

x² - 121

x² - (11)²

here a = x and b = 11

x² - (11)² = (x - 11) · (x + 11)

but it says that student gave the answer as (x - 11) · (x - 11).

So, student's answer should be (x - 11) · (x + 11) instead of product of two (x - 11) terms.

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Will spent $3.75 for 3 pounds or granola. what is the unit rate in dollars per pound
MissTica
The unit rate per pound is
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In Cecilia’s CD collection, 1/5 of her Jazz CDs represents 1/10 of all her CDs. What is the ratio of her Jazz CDs to her non-Jaz
KatRina [158]

Answer: The required ratio is 1:1.

Step-by-step explanation:

Let the total number of CDs be 100

\frac{1}{10} of CDs is given by

\frac{1}{10}\times 100\\\\=10

According to question,

\frac{1}{5} of her Jazz CDs represents \frac{1}{10} of all her CDs.

Let the number of Jazz CDs be  x

So, it becomes

\frac{1}{5}\times x=10\\\\x=10\times 5\\\\x=50

So, Number of Jazz's CDs is 50

Number of Jazz non CDs  is given by

100-50=50

Ratio of her CDs to her non- CDs is given by

50:50\\\\1:1

Hence, the required ratio is 1:1.

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