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3 years ago

PLEASE ANSWER + BRAINLIEST!!

1 answer:

6 0

To solve this problem you must apply the proccedure shown below:
1. You have the followin quadratic equation given in the problem above: <span>x^2+3x+1
2. Therefore, you have:
x^3+3x=-1

(b/2)^2=(3/2)^2=9/4

x^2+3x+9/4=-1+9/4
(x+3/2)^2=5/4

Therefore, as you can see, the answer is: </span>(x+3/2)^2=5/4

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Factor:

nekit [7.7K]

Answer:

a) $(7\cdot m^{6}+4)\cdot (7\cdot m^{6}-4)$

b) $(7\cdot a\cdot b^{8}+1)\cdot (7\cdot a\cdot b^{8}-1)$

c) $a = 0.7\cdot t^{9}$

d) There are two possible answers only considering real coefficients:

(i) $16\cdot x^{2}-81 = (4\cdot x +9)\cdot (4\cdot x - 9)$

(ii) $14\cdot x^{2}-81 =(\sqrt{14}\cdot x+9)\cdot (\sqrt{14}\cdot x - 9)$

e) $(a^{3}+4)\cdot (a^{3}-4)$

Step-by-step explanation:

Now we proceed to solve each algebraic equation:

a) Factor $49\cdot m^{12}-16$

This binomial is of the form $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . In this case, we can rewrite and factor the equation below:

$49\cdot m ^{12}-16$

$(7\cdot m^{6})^ 2-4^{2}$

$(7\cdot m^{6}+4)\cdot (7\cdot m^{6}-4)$

b) Factor $49\cdot a^{2}\cdot b^{16}-1$

This binomial is of the form $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . In this case, we can rewrite and factor the equation below:

$49\cdot a^{2}\cdot b^{16}-1$

$(7\cdot a\cdot b^{8})^{2}-1^{2}$

$(7\cdot a\cdot b^{8}+1)\cdot (7\cdot a\cdot b^{8}-1)$

c) Nicole is factoring $0.49\cdot t^{18}-25$ by using the rule $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . What will she use for the value of $a$ ?

From this rule we find that $a^{2} = 0.49\cdot t^{18}$ , that is:

$a^{2} = 0.49\cdot t^{18}$

$a^{2} = \frac{49}{100}\cdot t^{18}$

$a = \frac{7}{10}\cdot t^{9}$

$a = 0.7\cdot t^{9}$

d) Which binomial is a difference of squares?

A binomial is a difference of square if and only if $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . There are two possible answers only considering real coefficients:

(i) $16\cdot x^{2}-81 = (4\cdot x +9)\cdot (4\cdot x - 9)$

(ii) $14\cdot x^{2}-81 =(\sqrt{14}\cdot x+9)\cdot (\sqrt{14}\cdot x - 9)$

e) Factor $a^{6}-16$

This binomial is of the form $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . In this case, we can rewrite and factor the equation below:

$a^{6}-16$

$(a^{3})^{2}-4^{2}$

$(a^{3}+4)\cdot (a^{3}-4)$

6 0

3 years ago

List three examples of times when people need to add or subtract fractions in there daily lives.

Brut [27]

Taxes
sale discounts
cooking

8 0

3 years ago

2 friends share 7 cookies equally. how many cookies does each friend get

tekilochka [14]

Answer:

3.5

Step-by-step explanation:

2 friends share 7 cookies equally. How many cookies does each friend get?

7 ÷ 2 = 3.5

3 0

3 years ago

Read 2 more answers

How do you find the domain and range?

s344n2d4d5 [400]

Answer:

hope it helps

Step-by-step explanation:

Range=highest-lowest

<em>domain=sum of items/no. of items</em>

7 0

2 years ago

Tell whether the ordered pair a solution of the given system.

svetoff [14.1K]

Answer:

The ordered pair is not a solution to the given system of inequalities

Step-by-step explanation:

Here, we want to check if the ordered pair is a solution to the system of inequalities

Simply substitute 1 for x and y for 3

3 ≤ 1 + 2

3 ≤ 3

This is valid as 3 is equal to 3

secondly;

3 > 4(1) - 1

This does not work as

3 is not greater than 3

6 0

3 years ago