3/8 = 0.375
40/0.375 = 106 and 2/3
Answer:
-2x² + 15
Step-by-step explanation:
Step 1: Add like terms
4x² - 6x² = -2x²
-10x + 10x = 0
3 + 12 = 15
Step 2: Rewrite
-2x² + 15
Answer:
domain: x>3/5
Step-by-step explanation:
First we need to derive our function g(x) to get a new function g'(x)
To do this we will have to apply chain rule because we have an inner and outer functions.
Our G(x) = square root(3-5x)
Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)
where d/dx(g(f(x)) = g'(x)
g(x) is the outer function which is x^1/2
f(x) is our inner function which is 3-5x
therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5
g'(f(x)) = -1/2(3-5x)^(-1/2)
Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)
But the domain is the values of x where the function g'(x) is not defined
In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined
which gives us x >3/5
Answer:
-11/4
Step-by-step explanation:
(-8 - 3)/[3-(-1)]= -11/4
Answer:
9x + 5y = 29 ........... (1) and
3x + y = 7 ........... (2)
Each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens.
Step-by-step explanation:
Let, each game of ping pong requires x number of tokens and each game of pinball requires y number of tokens.
So, from the given conditions we can write
9x + 5y = 29 ........... (1) and
3x + y = 7 ........... (2)
Now, solving equations (1) and (2) we get,
9x + 5(7 - 3x) = 29
⇒ 35 - 6x = 29
⇒ 6x = 6
⇒ x = 1 token.
Now, putting x = 1 in equation (2) we get,
3 + y = 7
⇒ y = 4 tokens.
So, each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens. (Answer)