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tatyana61 [14]
3 years ago
7

Factor each completely.1) x7x 18

Mathematics
2 answers:
BigorU [14]3 years ago
7 0
Hello,

x²-7x-18=x²+2x-9x-18
=x(x+2)-9(x+2)
=(x+2)(x-9)

sergey [27]3 years ago
6 0
Use the cross-method.

1. Draw a cross.

2. Put x^2 to the first column.

( You can put any x^2 values for other similar factorisation question. eg. 5x^2 )

3. Put numbers on the 2nd column.

4. For the last column, it must be a number with an x.

5. Make sure that all the numbers and algebra that you multiplied gives the product with the ones at the bottom row.

6. Cross multiply.

7. Take 1st row and bracket them and do the same for 2nd row.

Answer:

x^2 - 7x - 18

= ( x+2 )( x - 9 )

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Marianne buys 16 bags of potting soil which come in 5/8 pound bags. This equals to 10 pounds of potting soil. Her father calls a
Ann [662]

Answer:

5 bags

Step-by-step explanation:

Given Marianne buys 16 bags of potting soil which come in 5/8 pound bags

The above provides 10pounds of potting soil already

Now her father says he needs 13 pounds So Marianne should get an extra of 13 - 10 =3 pounds of potting soil

We know that 1 bag contains 5/8 pounds of potting soil

x bags contain 3 pounds of potting soil

On cross multiplication we get

\frac{5x}{8}=3

x = \frac{24}{5}

since x is an integer x = 5 bags  

Note that an extra amount of soil will be remained unused

8 0
3 years ago
If a sequence us defined recursively by f(0)= 3 and f (n+1)= -f (n) +5 for n>_ 0 then f (2) is equal to?
ivann1987 [24]
F(1) = -f(0) +5 = -3 +5 = 2
f(2) = -f(1) +5 = -2 +5 = 3

f(2) = 3

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The sequence appears to alternate between 3 and 2.
5 0
3 years ago
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
3 years ago
HELP NEEDED ASAP GIVING BRAINLIEST AND PLEASE EXPLAIN
Dennis_Churaev [7]

Answer: (B is the answer.

Step-by-step explanation: The graph I attached corresponds with B.

Cross -3 by -2.

5 0
3 years ago
How long will it take Carlos to walk 16 miles if he is walking 4 mph?
qwelly [4]
It will take Carlos 4 hours to walk 16 miles.
8 0
3 years ago
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