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ozzi
3 years ago
15

Factor: m^2 - 20m - 21

Mathematics
1 answer:
Anton [14]3 years ago
4 0

Answer: (m-21)(m+1)

Step-by-step explanation:

To factor this trinomial, find two numbers that multiply to -21 and add to -20:

(-21)(1)=-21

-21+1=-20

They are -21 and 1.

Add -21 and 1 to m to get both factors:

(m+(-21)) and (m+1)

(m-21) and (m+1)

Multiply them to get the answer:

(m-21)(m+1)

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The expression 12g gives the number of kilometers a car can travel using g liters of gasoline. How far can this car travel on 5
makvit [3.9K]

Answer:

66 km

Step-by-step explanation:

Given that

Number of km's traveled by a car using g liters of gasoline  = 12g

Number of gallons of gas required to travel 12g kilometers = g

We have to find

How far this car can travel using 5 \frac{1}{2} or 5.5 liters of gasoline = x= ?

Now we can find this by substituting g= 5 \frac{1}{2} in the the above equation representing number of kilometers traveled by the car.

Number of km's traveled by a car using 5 \frac{1}{2} liters of gasoline = 12 (5 \frac{1}{2})

x = 12 (5.5)

x= 66 km

So, the car travels 66km in 5.5 liters of gasoline




5 0
4 years ago
Read 2 more answers
Mike is cutting bows out of ribbon which will be used to warp gifts. If mike needs 3 1/2 feet of ribbon to make a bow, and he ha
ohaa [14]

Answer:

Mike can make 4 bows

Step-by-step explanation:

Given

1\ bow = 3\frac{1}{2}\ ft

Ribbon = 14\ ft

Required

Determine the number of bows he can make

To do this, we simply divide the length of the ribbon by length of 1 bow:

i.e.

Number = Ribbon/1\ bow

Number = 14\ ft/3\frac{1}{2}\ ft

Number = 14/3\frac{1}{2}

Number = 14/\frac{7}{2}

Convert to *

Number = 14 * \frac{2}{7}

Number = \frac{28}{7}

Number = 4

<em>Hence, Mike can make 4 bows</em>

4 0
3 years ago
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8 0
3 years ago
Simple Question: Is 4(703 + 100) = 1606 x 2
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3 years ago
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