Answer:
x = 111
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 7 , then
sum = 180° × 5 = 900
Sum the interior angles and equate to 900
x + 139 + 121 + 125 + 126 + 158 + 120 = 900
x + 789 = 900 ( subtract 789 from both sides )
x = 111
Compounded once a year: A=P(1+r)^t
2500=500(1+0.095)^t
1.095^t=5
because the unknown number is an exponent, use log to find the unknown:
log(1.095^t)=log5
tlog1.095=log5
t=log5/log1.095
use your calculator, t=17.734
so this person is about 28 years old.
Answer:
y = -4x
Step-by-step explanation:
y = mx+c
gradient, m
= (4-0)/(-1-0)
= -4
y-intercept, c
= 0
y = -4x+0
y = -4x
<h3>
Answer:</h3>
- y = -(x -3)² +3 . . . . (agrees with your answer)
- see the attachment for a graph
<h3>
Step-by-step explanation:</h3>
Factoring the leading -1 from the first two terms, we have ...
... y = -(x² -6x) -6
Adding 9 inside parentheses to complete the square, then adding the opposite amount outside parentheses, we have ...
... y = -(x² -6x +9) -6 +9
... y = -(x -3)² +3