The Point at which the Function g(t) = 2t - 6 crosses x axis is where g(t) = 0
Because on x-axis : y - coordinate is zero
As g(t) is the y - coordinate and t is the x - coordinate :
⇒ g(t) = 0
⇒ 2t - 6 = 0
⇒ 2t = 6
⇒ t = 3
Option E is the Answer
Answer: 12 Edges
Explanation:
V + F<span> - E = 2
10 + 14 - E = 2
14 - E = 2
E = 14 - 2
E = 12
</span>
Answer:
Initial amount is 523 grams
Amount after 100 years is 52 grams
Step-by-step explanation:
General exponential function for radioactive substances is given by
A(t) = Ao(1/2)^t/t1/2
Where,
A(t) is the amount remaining after t years
Ao is the initial amount of the radioactive substance
t is the number of years required for the radioactive substance to decay to A
t1/2 is the half-life of the radioactive substance
Comparing A(t) = 523(1/2)^t/30 with the general exponential function
Initial amount (Ao) = 523 grams
A(t) = 523(1/2)^t/30
t = 100
A(100) = 523(1/2)^100/30 = 523×0.5^3.333 = 523×0.0992 = 51.8816 = 52 grams (to the nearest gram)
Answer:
y= 3x -5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+b, where m is the gradient and b is the y-intercept.
Let's rewrite the equation of the given line in the form of y=mx+b, so we can find its gradient.
y +2= 3(x -1)
y +2= 3x -3 <em>(</em><em>expand</em><em>)</em>
y= 3x -3 -2
y= 3x -5
Gradient of given line= 3
Gradient of unknown line= 3,
since parallel lines have the same gradient.
Susbt. m=3 into the equation:
y= 3x +b
Substitute a coordinate to find the value of b.
When x= 1, y= -2,
-2= 3(1) +b
-2= 3 +b
b= -2 -3 <em> </em><em>(</em><em>-3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= -5 <em>(</em><em>simplify</em><em>)</em>
Thus the equation of the line is y= 3x -5.
Answer: (C) <em>bottom left graph</em>
<u>Step-by-step explanation:</u>
Create a table for each interval:
No need to create the table for the last interval.