Basically to solve this, you set both equations equal to each other and solve because the angles are the same.
5x+7=8x-71
isolate x by adding 71 to both sides and subtracting 5x from both sides
3x= 78
divide 78 by 3
x=26
Answer:
Yes
Step-by-step explanation:
To determine if (1, 2 ) is a solution of the inequality, substitute the coordinates into the inequality and if satisfied then they are a solution, that is
(6 × 1) - 2 = 6 - 2 = 4 > 3
Since 4 > 3 then (1, 2 ) is a solution
Answer:
16
Step-by-step explanation:
2x2-y
2(3)2-2
2(9)-2
18-2
16
Answer: I don't know about the formula, but consider the logic below.
Step-by-step explanation:
Martina = 12
Joey = 0
12 x 3 = 36
36 - 3 = 33
If Joey was 21, Martina would be 33.
Answer:
- after week 7: 4374 pennies
- 486 pennies: after week 5
Step-by-step explanation:
The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...
an = 6·3^(n-1)
This can be rearranged to ...
an = 2·3^n
__
When n=7, the value is ...
a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks
__
To find when there are 486 pennies saved, we can solve the equation ...
486 = 2·3^n
243 = 3^n
log(243) = n·log(3) . . . . . . . take the logarithm
log(243)/log(3) = n = 5 . . . . divide by the coefficient of n
Tabitha will have saved 486 pennies after 5 weeks.