Answer:
y = 37/5x + 9
Step-by-step explanation:
The points are not plotted on a single straight line, so I will find the general slope using the first and last point on the graph.
(5, 46) & (10, 83)
slope-intercept form: (y₂ - y₁) / (x₂ - x₁)
(83 - 46) / (10 - 5)
Simplify.
(37)/(5)
Your slope is 37/5.
y = 37/5x + b
To find b, plug in a point to x and y.
46 = 37/5(5) + b
46 = 37 + b
b = 9
Your equation is: y = 37/5x + 9
Check by plugging in the other point.
83 = 37/5(10) + 9
83 = 74 + 9
83 = 83
Your equation is correct.
Hope this helps!
Answer:
given, felt, or done in return
Answer:
34
Step-by-step explanation:
In order to solve this problem, you would have to plug-in 4 in letter c.
So the equation would go from:
c² + 6c - 6 to
(4)² + 6(4) - 6
4 to the square power is 16
6 times 4 is 24
So you would write this equation next
16 + 24 - 6
after adding and subtracting you should get 34 as your final answer.
Hope this helps!
<u>SIDE NOTE: </u><u>REMEMBER TO FOLLOW THE RULES OF </u><u>PEMDAS</u><u> WHEN ANSWERING THESE PROBLEMS!
</u>
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Let A be Area, s sides
A= s²
(400)1/4 = area of the smaller square.
100=s²
10²=s²
s= 10, so the smaller side is 10 inches.
Dp/dt = .0375 people/year
<span>ln p = .0375 t + c </span>
<span>p = c e^(.0375 t) </span>
<span>when t = 0, p = 500,000 </span>
<span>so </span>
<span>p = 500,000 e^(.0375 t) </span>
<span>so </span>
<span>2 = 1,000,000/500,000 = e^(.0375 t) </span>
<span>ln 2 = .0375 t </span>
<span>t = 18.5 years</span>
