Answer:
E. -8/3
F. 8/3
Step-by-step explanation:
9x^2-64=0
Add 64 to each side
9x^2-64+64 = 0+64
9x^2 =64
Divide each side by 9
9x^2/9 = 64/9
x^2 = 64/9
Take the square root of each side
sqrt(x^2) = ±sqrt(64/9)
We know that sqrt(a/b) = sqrt(a)/sqrt(b)
x = ±sqrt(64)/sqrt(9)
x = ± 8/3
Answer:
see explanation
Step-by-step explanation:
Given
9n² - n - 
= 0 ← multiply through by 3 to clear the fraction
27n² - 3n - 2 = 0 ← factoring
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term
product = 27 × - 2 = - 54 and sum = - 3
The factors are - 9 and + 6
Use these factors to split the n- term
27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )
9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term
(3n - 1)(9n + 2) = 0
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = 
9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - 
Answer:
14 miles
Step-by-step explanation:
Answer:
3.25 L
Step-by-step explanation:
1L=1000mL
3250ml x1L/1000mL = 3.25L
The maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
<h3>How to determine the difference?</h3>
The function is given as:
f(x) = -0.5x^2 + 5x - 6
Differentiate the function
f'(x) = -x + 5
Set to 0
-x + 5 = 0
Make x the subject
x = 5
Substitute x = 5 in f(x)
f(5) = -0.5 * 5^2 + 5 * 5 - 6
f(5) = 6.5
The table is not given.
Hence, the maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
Read more about quadratic functions at:
brainly.com/question/18797214
