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3 years ago

Factor (2x^2+4x) + (1x+2)

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

8 0

Answer:

(2x + 1) (x + 2)

Step-by-step explanation:

2x² + 4x + 1x + 2

They are already arranged, so you just have to find the GCF. 2x² + 4x have the GCF of 2 and 1x + 2 have the GCF of 1.

2x (x + 2) + 1(x + 2)

Now you divide the whole thing by x + 2.

2x (x + 2) + 1(x + 2)/ x + 2

One of them cancels out leaving (2x + 1) and (x+2)

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Use the magnitudes (Richter scale) of the earthquakes listed in the data set below. Find the mean and median of this data set.

kvv77 [185]

Answer:

mean = 1.49

median = 1.53

Step-by-step explanation:

Using Excel, the procedure is the following

Insert data set in a sheet. In my case I used cells A1 to AX1
Compute mean with AVERAGE formula. In my case, AVERAGE(A1:AX1)
Compute median with MEDIAN formula. In my case, MEDIAN(A1:AX1)

7.0 is an outlier because all data points are below 2.91

5 0

3 years ago

Read 2 more answers

A tournament is being run between two teams, A and B. This is a 2- tournament meaning that the first team to win 2 games is the

natta225 [31]

Answer:

Step-by-step explanation:

For first game PA = 1/3

For second game PA = 1/3 ( If A is not lost in first game )

= 2/5 (If A is lost in first game )

For conclusion of game in three matches :

If A wins , the probability is

PA , PB , PA = 1/3 X 2/3 X 3/5 = 6/45

PB , PA , PA = 2/3 X 3/5 X 1/3 = 6/45

If B wins

PA, PB, PB = 1/3 X 2/3 X 2/5 = 4/ 45

PB, PA , PB = 2/3 X 3/5 X 2/3 = 4 / 15

Total probability of conclusion of game in 3 matches

= 6/45 +6/45 + 4/45 +4/15 = 28/45

b )

For the game concluding in 2 matches , the probability are as follows

PA,PA = 1/3 X 1/3 = 1/9

PBPB = 2/3 X 2/5 = 4 / 15

Total probability

= 1/9 + 4/15 = 17/45

So PA = 1/9 / 17/45

= 5/17

5 0

3 years ago

I would like help on this problem if anyone doesn't mind -(-4)+8

Snowcat [4.5K]

- (- 4) + 8 is the same as doing - 1(- 4) + 8 or - 1 x (- 4) + 8

Any negative times a negative becomes a positive so we just do 1 x 4 = 4.

4 + 8 = 12.

Your answer is 12.

8 0

3 years ago

Read 2 more answers

Manav is painting a rectangular room and the dimensions of this room are given by x,y and z feet. Manav takes 8 hours to paint a

zhenek [66]

Answer:

B) 36 cubic feet

Step-by-step explanation:

Dimensions of the room are x, y and z feet. It is given that x = 6 feet.

Manav took 8 hours to paint the wall with dimensions x and z.

This means, in 8 hours Manav painted area = xz = 6z

In 1 hour Manav painted area = $\frac{6z}{8}$

Manav took 4 hours to paint the wall with dimensions y and z.

This means, in 4 hours Manav painted area = yz

In 1 hour Manav painted area = $\frac{yz}{4}$

Manav took 12 hours to paint the ceiling with dimensions x and y.

This means, in 12 hours Manav painted area = xy = 6y

In 1 hour Manav painted the area = $\frac{6y}{12}=\frac{y}{2}$

Since, Manav works at constant rate, this means the worked done in 1 hour in all 3 cases would be the same. So we can write:

$\frac{6z}{8}=\frac{yz}{4}=\frac{y}{2}$

Using the first two equations, we get:

$\frac{6z}{8}=\frac{yz}{4}\\\\ \frac{6}{8}=\frac{y}{4}\\\\ y=\frac{6}{8} \times 4\\\\ y = 3$

Using the last two equations, we get:

$\frac{yz}{4}=\frac{y}{2}\\\\ \frac{z}{4}=\frac{1}{2}\\\\z=2$

So, we have the follwoing dimensions of the room:

x = 6 feet

y = 3 feet

z = 2 feet

So the volume of the room is = 6 x 3 x 2 = 36 cubic feet

7 0

3 years ago

How many 1/6 cups of raisins are in 3/2 cups of raisins?

lisabon 2012 [21]

3/2 = 9/6
1/6 x 9 = 9/6

9

8 0

3 years ago