Hi there!
We can begin by setting the two expressions equal to solve for t:
2t - 1 = 5t
Subtract 2t from both sides:
-1 = 3t
Divide both sides by 3:
t = -1/3
Plug in this value of t into x(t) and y(t):
x(-1/3) = 2(-1/3) - 1 = -2/3 - 1 = -5/3
y(-1/3) = 5(-1/3) = -5/3
Thus:
(-5/3, -5/3) are the corresponding coordinates.
Answer: We have c = 3 and d = -2
Step-by-step explanation:
We want to solve the equation:
6200.07 = 6.2x10^c + 7x10^d
First, we can separate the left number into two pieces:
6200.07 = 6200 + 0.07 = 6.2x10^c + 7x10^d
Now we can solve it as:
6200 = 6.2x10^c
6200/6.2 = 10^c
1000 = 10^c
now we can use that if y = a^x, then ln(y)/ln(a) = x
here we have:
c = ln(1000)/ln(10) = 3
and
0.07 = 7x10^d
0.07/7 = 10^d
0.01 = 10^d
d = ln(0.01)/ln(10) = -2
Adult ticket= $6.00 Child ticket= $3.00
Total=$168.00
$6 x 17 people=$102 $3.00 x 17 kids= $51 + 5 kids x$3=$168
Adult tickets sold= 17
Children's Tickets sold= 22
Answer:
- The next term of the sequence is represented by the point (5, –64)
Step-by-step explanation:
<u>Note:</u> <em>The first point should be (1, - 4)</em>
According to the points, the sequence is:
- t₁ = - 4, t₂ = 8, t₃ = - 16, t₄ = 32
or
We can observe it is a geometric sequence with common ratio of - 2, as:
- r = 32/ - 16 = - 16/8 = 8/ - 4 = - 2
The following term is:
- t₅ = t₄*r = 32*(- 2) = - 64
The coordinates of same term are:
As we see the correct answer choice is D.
Answer:
The range is 8.
Step-by-step explanation:
5-(-3)=8
