we know that
if the exponential function passes through the given point, then the point must satisfy the equation of the exponential function
we proceed to verify each case if the point
satisfied the exponential function
<u>case A</u> 
For
calculate the value of y in the equation and then compare with the y-coordinate of the point
so


therefore
the exponential function
not passes through the point 
<u>case B</u> 
For
calculate the value of y in the equation and then compare with the y-coordinate of the point
so


therefore
the exponential function
passes through the point 
<u>case C</u> 
For
calculate the value of y in the equation and then compare with the y-coordinate of the point
so


therefore
the exponential function
not passes through the point 
<u>case D</u> 
For
calculate the value of y in the equation and then compare with the y-coordinate of the point
so


therefore
the exponential function
passes through the point 
therefore
<u>the answer is</u>


Answer:
t =1.621860432
Step-by-step explanation:
6e^0.25t = 9
Divide each side by 6
6/6e^0.25t = 9/6
e^0.25t = 3/2
Take the ln of each side
ln e^0.25t = ln (3/2)
.25t = ln (3/2)
Divide each side by .25
.25t/.25 = 1/.25 ln (3/2)
t = 4 ln (3/2)
t =1.621860432
So as you can see, -3 is the y-intercept. You would make a point on (-3,0) first. Then from the point, you would go up 1 and go right 2 because the slope is a positive 1/2 slope.
9514 1404 393
Answer:
2x² +5x -12 = 0
Step-by-step explanation:
When p and q are roots of a quadratic, its factored form can be written as ...
(x -p)(x -q) = 0
Here, the roots are given as -4 and 3/2, so the factored form would be ...
(x -(-4))(x -(3/2) = 0
Multiplying by 2 gives us ...
(x +4)(2x -3) = 0
Expanding the product, we find the desired quadratic is ...
2x² +5x -12 = 0
Hello!
I take that the "/" was meant to be a fraction. There fore, your answer would be

.
Enjoy.
~Isabella