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SIZIF [17.4K]
3 years ago
10

Which expression is equivalent to 6m+(m-2)(m+7)+3

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:

m^{2} + 11m - 11

Step-by-step explanation:

6m+(m-2)(m+7)+3  =   6m   +  [ m*m - 14 -2m + 7m]  + 3

=  6m  + mm - 14 + 5m  + 3

=  mm + 11m - 11

6m+(m-2)(m+7)+3   = m^{2} + 11m - 11

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The equation h(t)= -16t^2+864t models the path of a rocket shot into the air. After how many seconds does the rocket hit the gro
Vika [28.1K]

Answer:

t = 54 seconds

Step-by-step explanation:

The equation that models the path of a rocket into the air is given by :

h(t)= -16t^2+864t

It is required to find the time after which the rocket will hit the ground. When it hits the ground, the height of the rocket will becomes zero. It means,

h(t) = 0

i.e.

-16t^2+864t=0\\\\16t(-t+54)=0\\\\16t=0, -t+54=0\\\\t=0\ and\ t=54\ s

It means after 54 seconds, the rocket will hit the ground.

8 0
3 years ago
Jordie is getting balloons for his aunt's birthday party. He wants each balloon string to be 12 feet long. At the party store, s
geniusboy [140]

Answer:

216 yards

Step-by-step explanation:

You'd multiply the amount of string for each balloon (12 feet) by the 54 balloons he needs, and you get 648 feet. There are 3 feet in a yard so then you would divide 648 by 3 and get 216 yards

8 0
2 years ago
4. What's the least common multiple of each group of numbers?
mina [271]

Answer:

D. 2,5, and 6

Step-by-step explanation:

Because if u mutiply 2*5 = 10 and 2*6 is 12 as 5*6 is 30 and 2*9 is 18 .

8 0
3 years ago
The number 900 is increased by 20% and then decreased by 20%. Find the new number.(the ans is 864 apparently:/ I need steps)
Georgia [21]

Step-by-step explanation:

if 900 is increased by 20% then

120/100×900=1080

Decreasing it by 20% then

80/100×1080=864

5 0
2 years ago
A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?
Basile [38]

Answer:

B) 2.4 inches

Step-by-step explanation:

The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in <em>one </em>month you need to divide the total by the amount of months. 28.8/12 = 2.4

6 0
3 years ago
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