Hey can you please help me posted picture of question

Factor 81z^4 - 16<br> Please answer asap

Oksanka [162]

81x%5E4-16 Start with the given expression.

%289x%5E2%29%5E2-16 Rewrite 81x%5E4 as %289x%5E2%29%5E2.

%289x%5E2%29%5E2-%284%29%5E2 Rewrite 16 as %284%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=9x%5E2 and B=4.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%289x%5E2%29%5E2-%284%29%5E2=%289x%5E2%2B4%29%289x%5E2-4%29 Plug in A=9x%5E2 and B=4.

So this shows us that 81x%5E4-16 factors to %289x%5E2%2B4%29%289x%5E2-4%29.

In other words 81x%5E4-16=%289x%5E2%2B4%29%289x%5E2-4%29.

Now let's factor 9x%5E2-4 further

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9x%5E2-4 Start with the given expression.

%283x%29%5E2-4 Rewrite 9x%5E2 as %283x%29%5E2.

%283x%29%5E2-%282%29%5E2 Rewrite 4 as %282%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=3x and B=2.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%283x%29%5E2-%282%29%5E2=%283x%2B2%29%283x-2%29 Plug in A=3x and B=2.

So this shows us that 9x%5E2-4 factors to %283x%2B2%29%283x-2%29.

In other words 9x%5E2-4=%283x%2B2%29%283x-2%29.

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Answer:

So 81x%5E4-16 completely factors to %289x%5E2%2B4%29%283x%2B2%29%283x-2%29

3 0

2 years ago

Write a function to represent the set of ordered pairs.

77julia77 [94]

Answer:

Option C $f (x) = x^ 2 - 2$

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

$y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9$

Therefore the relationship is not linear.

However, the exchange rate $y_n- y_{n-1}$ increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

$y = x ^ 2$

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is $y = x ^ 2$ then the function that contains the ordered pairs of the B set is:

$y = x ^ 2 -2$

The correct option is option C) $f (x) = x^ 2 - 2$

8 0

3 years ago

HELP ME PLEASEEEE I WILL GIVE BRAINLIEST

UNO [17]

Answer: DE, EW WD

Step-by-step explanation:

It looks shortest to longest...i think its the best answer. good luck :>

6 0

2 years ago

3(c-4)=4(c-6)<br> i don't know how to solve it, either

STatiana [176]

Answer:

c = 12

Step-by-step explanation:

3(c - 4) = 4(c - 6)

Use the distributive property on each side.

3c - 12 = 4c - 24

Now you need the terms with c on the left side and the numbers on the right side. Subtract 4c from both sides. Add 12 to both sides.

3c - 4c - 12 + 12 = 4c - 4c - 24 + 12

Combine like terms on each side.

-c = -12

Multiply both sides by -1.

c = 12

4 0

2 years ago

Read 2 more answers

What is absolute value?

finlep [7]

Absolute value is when you have either a positive or negative value within a set of "parentheses" or what look just like vertical lines and whatever is within those line stays or becomes positive. The only exception to this is when there is a negative on the outside to act upon the positive values within.

8 0

3 years ago

Read 2 more answers