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Sati [7]
3 years ago
8

Which of the following is the correct factorization of the polynomial below? x^3-15

Mathematics
2 answers:
stealth61 [152]3 years ago
5 0

Answer with explanation:

Use the identity to solve the problem

a^3 -b^3=(a-b)(a^2+ab+b^2)\\\\x^3-15=x^3-(15^{\frac{1}{3})^3}\\\\=[x-(15)^{\frac{1}{3}}][x^2+(15)^{\frac{1}{3}}x+((15)^{\frac{1}{3}})^{2}]\\\\=[x-(15)^{\frac{1}{3}}][x^2+(15)^{\frac{1}{3}}x+(15)^{\frac{2}{3}}]  

Anuta_ua [19.1K]3 years ago
4 0
The polynomial is irreducible.
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The sale price of every item in a store is 85% of its usual price.
IgorC [24]

Answer:

$25.5

Step-by-step explanation:

To find 85% of $30, we can simply multiply the usual price, $30, by the decimal form of the percentage.

The decimal form of 85% is .85.

Now, multiply.

30*.85=25.5

The sale price of the backpack is $25.5.

Hope this helps!

3 0
3 years ago
Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4. Which system of linear equations
Anvisha [2.4K]

Answer:

n + q = 28 0.05n + 0.25q = 4

3 0
3 years ago
Read 2 more answers
Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial: 15ab-9a^
MrMuchimi

Answer:

- \bigg(3a -  \frac{5}{2} b) \bigg)^{2}

Step-by-step explanation:

15ab-9a^2-6  \frac{1}{4} b^2 \\  \\  = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\  \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\  \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\  \\   = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2  \\  \\ =  -  \{ - 15ab + (3a)^2 +  \bigg(\frac{5}{2} b \bigg)^2  \} \\  \\ =  -  \{ (3a)^2 +  \bigg(\frac{5}{2} b \bigg)^2 - 15ab  \} \\  \\  =   - \bigg(3a -  \frac{5}{2} b \bigg)^{2}

3 0
3 years ago
Using 5,7,2 to equal 6
choli [55]

Answer:

here my answer

Step-by-step explanation:

5+1=6

7-1=6

3x2=6

hope it helps :)

8 0
3 years ago
Read 2 more answers
A factory buys 10% of its components from suppliers B and the rest from supplier C. It is known that 6% of the components it buy
Aleks [24]

Answer:

The percentage of the components bought from supplier C that are faulty = 88%

Complete Question:

A factory buys 10% of its components from supplier A, 30% from supplier B,and the rest from supplier C. it is known that 6% of the components it buys are faulty. of the components bought from supplier A, 9% are faulty and of the components bought from supplier B, 3% are faulty.

find the percentage of the components bought from supplier C that are faulty ?

Step-by-step explanation:

Let x be the total components bought by the factory

Components supplied by A = 10% of x

Components supplied by B = 30% of x

The rest supplied by C:

Percentage supplied by C = 100-(30+10) = 100-40 = 60%

Components supplied by C = 60% of x

% of all faulty components = 6%

Amount of faulty component = 6% of x

faulty components from A= 9%

Amount of faulty component from A= 9% × (6% of x) = 0.0054x

faulty components from B= 3%

Amount of faulty component from A= 3% × (6% of x) = 0.0018x

Amount of faulty component from C = (6% of x) - (0.0054x+0.0018x)

= 0.06x - 0.0072x

= 0.0528x

Let the percentage of the components bought from supplier C that are faulty = y%

y% × 6% of x = 0.0528x

y% × 0.06x = 0.0528x

y% = 0.0528x/0.06x

y% = 0.88 = 88%

The percentage of the components bought from supplier C that are faulty = 88%

3 0
3 years ago
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