Answer:

Step-by-step explanation:
exponential function : 
where a = y intercept and b = factor ( what you multiply by )
looking at the table the y intercept is at (0,10) so a = 10
so we now have y = 10 * (b)^x
to find the factor we simply plug in one of the ordered pairs.
note that the ordered pair chosen does not effect the outcome
i chose (2,250)
we have y = 10 * (b)^x
(x,y) = (2,250)
250 = 10 * (b)^2
divide both sides by 10
25 = b^2
take the square root of both sides
5 = b
the final equation would be f(x) = 10 * (b)^x
Answer:
One Solution
Step-by-step explanation:
When she adds 2 to both sides, the equation is
4x=3x
If you subtract 3x from both sides
x=0
So the equation has exactly one solution
Answer:
649 trains
Step-by-step explanation:
If there are 30 seats per carriage, and there is 18 carriages per train.
You multiple 30 and 18 to get how many seats there are in a train.
30*18 is 540 seats.
To figure out how many trains would be needed to seat 350,000 passenger, you have to divide 350,000 with 540 to get how many trains would be needed.
350,000/540 is 648.1
Since the answer is 648.1 and you can't chop a train into 10 pieces, you would need 649 trains to seat 350, 000 passengers.
Alright sure:
Q5: ∠3
Q6: ∠1
Q7: ∠2
Q8: x = 25
Q9: x = 63
For Questions 8 and 9 what I did was find out the supplementary angle adjacent to the exterior angle.
8: 180° in a supp. angle. So 180-105 = 75. To make a triangle it has to be 180°. So 180 - 75-80 = 25 So x=25
9: 180° in a supp. angle. So 180-135 = 45. To make a triangle it has to be 180°. So 180 - 45-72 = 63. So x=63
Let me know if you don't understand that. If you don't get it I'll explain it further for you.