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Elena L [17]
3 years ago
7

HELP PLS

Mathematics
1 answer:
Karolina [17]3 years ago
3 0

explain ggvfkdjdigzufsitz8tItst9zotzotxiys8tx

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Combine like terms.<br><br> y + 3 + 9(y + 5) =
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Answer:

The answer is 10y + 48.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

y + 3 + 9(y + 5) \\  = y + 3 + 9y + 45

Next you have to collect like-terms :

y + 3 + 9y + 45 \\  = 10y + 48

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A science class began recording the height of a plant each day. On day 10, it was 20 cm tall. On day 35, it was 57.5 cm tall. Wh
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The plant grew 1.5 cm each day.
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Find the sum of the following series
vazorg [7]

Answer:

a) 820

b)450

c)  -540

d) -294

e) 1440

f) 1425

Step-by-step explanation:

a) it is an arithmetic progression with ratio=4

   a1=3,

     a2=3+r=3+4=7.....

    a20=a1+19r

so a20=3+19*4=3+76=79

S=(a1+an)*n/2 where n=20

so S=(3+79)*20/2=820

b) a15=a1+14*r=2+14*4=2+56=58

S=(a1+a15)*15/2=(2+58)*15/2=60*15/2=30*15=450

It is the same formula for all  the exercises

S=(a1+an)*n/2 ,     where n is the number of terms

c) a40=30+39*(-3)=30-87=-57

So S=(30-57)*40/2=-540

d) a14=5+13*(-4)=5-52=-47

S=(5-47)*14/2=-42*14/2=-42*7=-294

e) it is 5+7+9+......+75

nr of  terms  = (an-a1) :r+1=(75-5):2+1=36

S=(5+75)*36/2=36*40=1440

f) ratio=7-4=3

the  same formula for n= (91-4):3+1=87:3+1=29+1=30

S=(4+91)*30/2=95*30/2=2850/2=1425

8 0
3 years ago
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