6x +2y
Solution:
Given expression is (6x + 4y) –2y.
To find the equivalent expression for the given expression.
⇒ (6x + 4y) –2y
⇒ 6x + 4y –2y
Combine like terms together.
⇒ 6x + (4y –2y)
⇒ 6x + 2y
6x +2y is equivalent to (6x + 4y) –2y.
Hence, the expression equivalent to (6x + 4y) –2y is 6x + 2y.
Answer:
20 grams
Step-by-step explanation:
20 years is 2 half lives
1/2 * 1/2 = 1/4
1/4 * 80 = 20 grams
<h2>Solution (a) :-</h2>
Let the cost of the less expensive comic book be x .
Then :-

Using this equation , we can find the cost of the less expensive comic book .
Price of the less expensive book :-





Cost of the less expensive book is 107 .
Therefore , the epice of the less expensive book = $ 107 .
<h2>Solution (b) :-</h2>
Cost of the more expensive book = 11x
Which means :-






Therefore , the price of the more expensive book = $ 1177 .
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:
g(x)=-6/5x+1/2
h(x)=-6/5x-1/2
Step-by-step explanation:
1). g(x)=−f(x) ?
f(x)=6/5x−1/2
g(x)=−(6/5x−1/2)
<u>g(x)=-6/5x+1/2</u>
2). h(x)=f(−x) ?
f(-x)=6/5(-x)−1/2
f(-x)=-6/5x-1/2
h(x)=-6/5x-1/2