Answer:
x = 3, x = 4
Step-by-step explanation:
Given
= 14 - 2x ( multiply through by x , x ≠ 0 )
24 = 14x - 2x² ( subtract 14x - 2x² from both sides )
2x² - 14x + 24 = 0 ( divide through by 2 )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
Answer:
common difference(d) = 11
first term (a)=11
then the nth term
=a+(n-1)d
=11+ (n-1)*11
=11+11n-11
=11n
We can determine the value of the adult ticket cost and student ticket cost by following these steps:
1. solve form one of the variables from one of the equations
Let's solve for a from 2a + 2s = 40
2a + 2s = 40
2a + 2s - 2s = 40 - 2s
2a = 40 - 2s
2a/2 = 40/2 - 2s/2
a = 20 - s
2. Replace the expression found and solve for s
4a + 5s = 87
4(20 - s) + 5s = 87
4×20 - 4×s + 5s = 87
80 - 4s + 5s = 87
80 + s = 87
80 - 80 + s = 87 - 80
s = 7
3. Replace 7 for s into a = 20 - s
a = 20 - 7
a = 13
Then, a = 13 and s = 7.
Then the adult ticket cost is $13 and the student ticket cost is $7
Answer: 12
<u>Step-by-step explanation:</u>
Average rate of change is the slope (m) between the two coordinates (-1, 3) and (1, 27).
