Consider the graph of the linear function () -

What is the complete factorization of 4x2 - 9y4?

Liono4ka [1.6K]

Answer:

the answer is c

( 2 x + 3 y ) ( 2 x − 3 y ) is the factored form of the expression

Step-by-step explanation:

4 x 2 − 9 y 2 can be also written as ( 2 x ) 2 − ( 3 y ) 2
Now, as per identity: a 2 − b 2 = ( a + b ) ( a − b )
So , in case of our expression a = 2 x , b = 3 y ( 2 x ) 2 − ( 3 y ) 2 = ( 2 x + 3 y ) ( 2 x − 3 y )

6 0

3 years ago

Read 2 more answers

ving as a relation, state the domain and range, then determine if it is a6.2X-2 0.-2Relation:DomainRangeFunction3 i

Travka [436]

The relation is the set of ordered pairs of point drawn in the graph

The points are:

(-2, 3), (0, 1), (2, -1), (3, -2)

So the relation is:

R = {(-2, 3), (0, 1), (2, -1), (3, -2)}

The domain is the values of x in the ordered pairs

x = -2, 0, 2, 3

The domain = {-2, 0, 2, 3}

The range is the values of y in the ordered pairs

y = 3, 1, -1, -2

Arrange them in the set

The range = {-2, -1, 1, 3}

7 0

1 year ago

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than

sineoko [7]

Answer:

The number of sundaes sold are 36.

Step-by-step explanation:

The cost of each sundae is $2 and the cost of each banana splits is $3.

The number of sundae sold be "x" and banana split be "y".

Thus, the total amount spent is,

= $2x+3y$

The total amount spent is given to be $156. Thus,

156 = $2x+3y$

It is also given that, the shop sold 8 more sundaes than banana splits. In equation form,

$x = y+8$

$y = x-8$ ,

Inserting this value of y in above equation, we get,

156 = $2x+3(x-8)$ = $5x-24$

$180 = 5x$

Thus, x = 36 = number of sundae sold.

8 0

4 years ago

Your friend is going to buy a used car. The one he is considering costs $4000 and will lose value at a rate of 13% per year. How

guapka [62]

13% of $4000 is $520
If the $4000 car loses value at a rate of 13% each year for 3 years
$520 x 3 = $1560
Subtract this amount from $4000
$4000 - $1560 = $2440

Answer: In 3 years, the used car will be worth $2440 in 3 years

6 0

2 years ago

Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the ori

Leni [432]

Answer:

Numbering the options, we have;

1) Side B'A' has a slope of −1 and is perpendicular to side BA.

2) Side B'A' has a slope of 1 and is parallel to side BA.

3) Side B'A' has a slope of 1 and is perpendicular to side BA.

4) Side B'A' has a slope of −1 and is parallel to side BA.

The correct option is;

1) Side B'A' has a slope of -1 and is perpendicular to side BA

Step-by-step explanation:

The given coordinates are;

A(3, 5) B(1, 3), C(5, -1) and D(7, 1)

The slope of BA is found as follows;

$Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1$

Rotation of a line through 90 degrees gives

(x, y) will be (y, -x)

Therefore, the coordinates of A' = (5, -3)

The coordinates of B' = (3, -1)

Then the slope is given as follows;

$Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1$

Therefore side B'A' has a slope of -1 and is perpendicular to side BA.

8 0

4 years ago