All categories

4 years ago

What is the simplified form of the quantity 12 z-squared plus 25z plus 12 over the quantity 3 z-squared minus 2z minus 8 ?

1 answer:

3 0

(12z^2 + 25z + 12)/(3z^2 - 2z - 8) You have to factor it. You know how to factor it right? (12z^2 + 16z + 9z + 12)/(3z^2 - 6z + 4z - 8) (4z(3z + 4) + 3(3z + 4))/(3z(z - 2) + 4(z - 2)) ((4z + 3)(3z + 4))/((3z + 4)(z - 2)) (4z + 3)/(z - 2)

You might be interested in

At a fair cake-eating contest, Bobby ate three cakes in 20 minutes. At the same speed, how long did it take to win the contest b

Alina [70]

Answer:

140 minutes

Step-by-step explanation:

First divide 21 by 3 to get 7

Then do 20*7 to get 140 :)

4 0

3 years ago

Read 2 more answers

Last three digit of cube of 500 is 0

Shkiper50 [21]

Answer:

true

Step-by-step explanation:

7 0

3 years ago

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

NARA [144]

Answer:

Slope of this line is given by:

Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

$x_1=3, y_1=1.5\\x_2=5, y_2=2.5$

Change in x coordinate = $x_2-x_1=5-3 = 2$

i.e. total time taken is 2 hours.

Change in y coordinate = $y_2-y_1=2.5-1.5 = 1$

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.

Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = $\frac{1}{2}$ acre i.e. 0.5 acre

Also, slope of a line is given as:

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here $y_2 - y_1 = 1$

$x_2 - x_1 = 2$

As per formula:

$m = \dfrac{1}{2} = 0.5$

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

6 0

4 years ago

Read 2 more answers

How many times 700 great then 70

Mariulka [41]

70 X 10 =700

Therefore, it is 10 times greater than 70.

5 0

3 years ago

Read 2 more answers

State the missing reason in this flow proof

natali 33 [55]

The complete flow proof is:

$\angle 5 = 40^o$ ---- Given
$\angle 2 = 140^o$ ---- Given
$\angle 5 + \angle 2 = 180^o$ ----- $\angle 5$ and $\angle 2$ are supplementary angles
$\angle 5 + \angle 2 = 180^o$ ----- $\angle 5$ and $\angle 2$ are same-side interior angles
$a ||b$ ----- Proved