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:
y=2
Step-by-step explanation:
advgdsfh usb hey do f ft h
Answer:
Step-by-step explanation:
30, the angle is worth 180 and 180-40=140. 140-20=120. 4*30=120
how many cookies? for 2 cups
Step-by-step explanation:
2
Answer:
4.
Step-by-step explanation:
The smallest number of hot dogs packages and hot dog buns that has the same amount of is the least common multiple between 6 and 8.
6 = 3*2
8 = 
So, the least common multiple is the product of each multiple with the biggest exponent, that is 
. Then, Xanthia has to buy 4 hot dog packages to have 24 hotdogs and 24 hotdog buns.
