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>
Step-by-step explanation:
numbers divisible by 2 end with an even number (2,4,6,8,0)
numbers divisible by 5 end with either 5 or 0
Answer:
It has a 25% chance of landing on 2
Step-by-step explanation:
If it is split into 4 equal parts each 1/4th is 25%
so landing on 2 would be 25%
Answer:
x = 9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(x+5)=3x+1
(2)(x)+(2)(5)=3x+1(Distribute)
2x+10=3x+1
Step 2: Subtract 3x from both sides.
2x+10−3x=3x+1−3x
−x+10=1
Step 3: Subtract 10 from both sides.
−x+10−10=1−10
−x=−9
Step 4: Divide both sides by -1.
yeah.
Answer: b
Step-by-step explanation:
