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jenyasd209 [6]
1 year ago
6

Recall the formula for factoring the difference of two squares: a2 – b2 = (a + b)(a – b) Use the formula to factor n8 – 9. What

is the value of a? n n8 n4
Mathematics
2 answers:
inessss [21]1 year ago
7 0

Answer:

(n^4 + 3)(n^2 - 3).

a = n^4.

Step-by-step explanation:

Comparing the 2 expressions:

a^2 = n^8 and b^2 = 9 so, taking square roots:

a = n^4 and b = 3

n^8 - b^2 = (n^4 + 3)(n^4 - 3).

Pie1 year ago
3 0

Answer:

To answer your question: Rewrite 81x2 as (9x)2.(9x)2−49Rewrite 49 as 72.(9x)2−72 Both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=9x and b=7.(9x+7)(9x−7)

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Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream
inessss [21]

Answer: 1/4

Step-by-step explanation:

Let the volume of mixture (6%fat) in cup is 100cc

x cc be the volume of cream (18% fat) in the mixture.

∴

(100−x) cc be the volume of milk (2% fat) in the mixture.

x * 0.18+(100−x) * 0.02=100

⋅0.06 or 0.18x − 0.02x = 6−2 or 0.16x

= 4 or x=25 cc = 25%

7 0
1 year ago
Read 2 more answers
Which option lists an expression that is not equivalent to 4 2/3?
I am Lyosha [343]

Answer:

Option A and Option B are not equivalent to the given expression.

Step-by-step explanation:

We are given the following expression:

4^{\frac{2}{3}}

Applying properties of exponents and base:

(a^x)^y = a^{xy}\\a^{-x}= (\frac{1}{a})^x\\

A. Using the exponential property a^{-x}= (\frac{1}{a})^x\\, we can write:

0.25^{\frac{3}{2}} = (\frac{1}{0.25})^{\frac{-3}{2}} = (4)^{\frac{-3}{2}}

which is not equal to the given expression.

B. Using the exponential property a^{-x}= (\frac{1}{a})^x\\, we can write:

(0.25)^{\frac{-3}{2}} = (\frac{1}{0.25})^{\frac{3}{2}} = (4)^{\frac{3}{2}}

which is not equal to the given expression.

C. First we convert the radical form into exponent form. Then by using the property (a^x)^y = a^{xy} of exponent, we can write the following:

^3\sqrt{16} = (16)^{\frac{1}{3}} = (4^2)^{\frac{1}{3}} = 4^{\frac{2}{3}}

which is equal to the given expression.

D. First we convert the radical form into exponent form. Then by using the property (a^x)^y = a^{xy} of exponent, we can write the following:

(^3\sqrt{4})^2 = (4^{\frac{1}{3}})^2 = 4^{\frac{2}{3}}

which is equal to the given expression.

Option D and Option C are equivalent to the given expression.

7 0
2 years ago
Read 2 more answers
Adding which terms to 3x2y would result in a monomial? Check all that apply.
sineoko [7]

Answer:

-12x^{2}y and 4x^{2}y

Step-by-step explanation:

We are given the term 3x^{2}y.

<em>It is known that, 'A monomial is an algebraic expression consisting of one term'.</em>

So, we add the given options to 3x^{2}y.

1.  3x^{2}y+3xy=3xy(x+1)

2. 3x^{2}y-12x^{2}y=-9x^{2}y

3.  3x^{2}y+2x^{2}y^{2}=x^{2}y(3+2y)

4.  3x^{2}y+7xy^{2}=xy(3x+7y)

5.  3x^{2}y-10x^{2}=x^{2}(3y-10)

6.  3x^{2}y+4x^{2}y=7x^{2}y

7.  3x^{2}y+3x^{3}=3x^{2}(y+x)

As, we can see that only option 2 and 6 results in an expression having one term.

Thus, adding -12x^{2}y and 4x^{2}y to 3x^{2}y results in a monomial.

4 0
1 year ago
Read 2 more answers
What is the coefficient of the following expression? 7c + 8
zloy xaker [14]

Answer:

3. 7

7 is the coefficient.

3 0
2 years ago
What is the sum of 2/10 + 6/100
kogti [31]

Answer:

26/100 which is simplified to 13/50

Step-by-step explanation:

you have to get equal denominators so multiply 2/10 by 10 on top and bottom to get 20/100 then you can add 6/100 plus 20/100 which is 26/100 . denominators stay the same 26/100 can be simplified to 13/50

6 0
2 years ago
Read 2 more answers
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