Answer:
<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>
Step-by-step explanation:
Given:
10x² - y = 48 ⇒(1)
2y = 16x² + 48 ⇒(2)
From eq.(1) ⇒ y = 10x² - 48 ⇒(3)
By substitution with y from eq.(3) at eq.(2)
∴ 2(10x² - 48) = 16x² + 48
Solve for x
∴ 20x² - 96 = 16x² + 48
∴ 20x² - 16x² = 48 + 96
∴ 4x² = 144
∴ x² = 144/4 = 36
∴ x = ±√36 = ±6
By substitution with x at eq.(3)
when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312
when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312
<u>So, there are two solutions of the system which are (-6,312) and (6,312)</u>
Answer:
there would be a total of 25 roses.
Step-by-step explanation:
the total cost is $60
Answer:
16
Step-by-step explanation:
Answer:
80=X
95=X
55=X
30=X
you simply add the numbers you have together then subtract that from 180
Given the function, f(x) = 9 - x :
To evaluate f(4), we must substitute 4 into the given function as an input value for x:
f(4) = 9 - 4
f(4) = 5
Therefore, f(4) = 5.
