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worty [1.4K]
3 years ago
5

14=-(p-8) what is the answer for this

Mathematics
1 answer:
DedPeter [7]3 years ago
4 0

Answer:

p = -6

I hope this helps!

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The n term of a geometric sequence is denoted by Tn and the sum of the first n terms is denoted by Sn.Given T6-T4=5/2 and S5-S3=
Leno4ka [110]
1 step: S_{5}=T_{1}+T_{2}+T_{3}+T_{4}+T_{5}, S_{3}=T_{1}+T_{2}+T_{3}, then
 S_{5}-S_{3}=T_{4}+T_{5}=5.

2 step: T_{n}=T_{1}*q^{n-1}, then 
T_{6}=T_{1}*q^{5}
T_{5}=T_{1}*q^{4}
T_{4}=T_{1}*q^{3}
T_{3}=T_{1}*q^{2}
and \left \{ {{T_{6}-T_{4}= \frac{5}{2} } \atop {T_{5}+T_{4}=5}} \right. will have form \left \{ {{T_1*q^{5}-T_{1}*q^{3}= \frac{5}{2} } \atop {T_{1}*q^{4}+T_{1}*q^{3}=5} \right..

3 step: Solve this system  \left \{ {{T_1*q^{3}*(q^{2}-1)= \frac{5}{2} } \atop {T_{1}*q^{3}*(q+1)=5} \right. and dividing first equation on second we obtain \frac{q^{2}-1}{q+1}= \frac{ \frac{5}{2} }{5}. So, \frac{(q-1)(q+1)}{q+1} = \frac{1}{2} and q-1= \frac{1}{2}, q= \frac{3}{2} - the common ratio.

4 step: Insert q= \frac{3}{2}into equation T_{1}*q^{3}*(q+1)=5 and obtain T_{1}* \frac{27}{8}*( \frac{3}{2}+1 ) =5, from where T_{1}= \frac{16}{27}.




5 0
3 years ago
Factor 15x + 35 using the GCF
Sedaia [141]

Answer:

Step-by-step explanation:

find all of tehe factors to both numbers

15x = 5 3 x

35 = 5 7

pull 5 out of both of them and put the remaining factors in parentheses

5(3x + 7)

8 0
2 years ago
Write the equation for an absolute value function with the following transformations:
Kipish [7]

Answer:

j(x) = 5 |x+9|-23

Step-by-step explanation:

f(x) = |x|

translate left 9 units

y = f(x + C)  C > 0 moves it left

g(x) = |x+9|

translate down 23 units

y = f(x) + C C < 0 moves it down

h(x)= |x+9|-23

stretch by a factor of 5  

y = Cf(x)   C > 1 stretches it in the y-direction

j(x) = 5 |x+9|-23

5 0
3 years ago
Please help,I don’t get this and my friends also need your help
ira [324]
STEP 1:
Add the number of total students
= 27+25+23
=75


STEP 2:
Find the percentage that 18 out of 75 students is.

18/75=x/100

cross multiply
(18*100)=(75*x)

1800=75x
divide both sides by 75
24%=x

Check:
75 * 24%= 18

Hope this helps! :) Good luck!
8 0
3 years ago
⚠️WILL GIVE BRAINLIEST⚠️​
seropon [69]

Answer:

It's letter C (x = -2) (y = 1)

Step-by-step explanation:

3 0
2 years ago
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