Please help asap!!!!!!!!!!!!!!!!!!!!
2 answers:
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The question is incomplete:
Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function p = s^2+9s-142, where s is the number of T-shirts sold. How many T-shirts should be sold to earn a profit of more than $2,000?
Answer:
s>42
Reyna needs to sell more than 42 T-shirts.
Step-by-step explanation:
Given that you have to find the amount of T-shirts that should be sold to earn a profit of more than $2,000, you have to find the amount required to earn $2,000 by replacing p with 2,000 and solving for s:
s^2+9s-142=2000
s^2+9s-2142=0
(s+)^2-2142-(
)^2=0
(s+)^2=2142+(
)^2
(s+)^2=2142+
(s+)^2=
s+=
s=
s=
s=
s=42
According to this, Reyna needs to sell more than 42 T-shirts to earn a profit of more than $2,000.
Answer:
= 6n - 4
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
8 - 2 = 14 - 8 = 6
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 6 , thus
= 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4
Thus the formula representing the sequence is
= 6n - 4
Given that a || b, m∠2 = 63° and m∠9 = 105°.
Now, all the angles are as follows:
m∠5= m∠2 = 63° [vertically opposite angle]
m∠7= m∠9=105° [vertically opposite angle]
m∠8= 180°-m∠9=180°-105°=75° [Supplementry angles, m∠8+m∠9=180°]
m∠10= m∠8= 180° [vertically opposite angle]
m∠6= m∠8=75° [ Alternate angles]
m∠3= m∠6=75° [vertically opposite angle]
m∠1= 180°-(m∠2+m∠3)=180°-(63°+75°)=42° [as m∠1+m∠2+m∠3=180°]
m∠4= m∠1=42° [vertically opposite angle]
m∠11=m∠4=42° [ Alternate angles]
m∠13= m∠11=42° [vertically opposite angle]
m∠12= 180°-m∠11=180°-42°=138° [as m∠8+m∠9=180°]
m∠14 = m∠12=138° [vertically opposite angle]
