Answer:
f= -(6/5)g
Explanation:
We have been given the expression 6f+9g = 3g+f
Solve for f means find the value of f
We will simplify the given expression:
we will collect the values of f at one side and g on the other side
So, rewriting the given expression 6f+9g =3g+f as 6f-f=3g-9g
So, after simplification it will lead to 5f= -6g
After further simplification f= -(6/5)g which is the final result
Answer:
A
Step-by-step explanation:
1/4 is 3/4 away from being 4/4 = 1.
Answer:
Expected Winnings = 2.6
Step-by-step explanation:
Since the probability of rolling a 1 is 0.22 and the probability of rolling either a 1 or a 2 is 0.42, the probability of rolling only a 2 can be determined as:

The same logic can be applied to find the probability of rolling a 3

The sum of all probabilities must equal 1.00, so the probability of rolling a 4 is:

The expected winnings (EW) is found by adding the product of each value by its likelihood:
Expected Winnings = 2.6
Answer:
20
Step-by-step explanation:
ƒ(x) = 3x² – 2
g(x) = 4x + 2
1. Add the functions
By definition,
(ƒ + g)(x) = ƒ(x) + g(x)
3x² - 2
<u> + 4x + 2
</u>
3x² + 4x
(ƒ + g)(x) = 3x² + 4x
2. Evaluate (ƒ + g)(2)
(ƒ + g)(2) = 3(2)² + 4(2) = 3(4) + 8 = 12 + 8 = 20
Answer:
Step-by-step explanation:
x^2 - 9x - 70
we need to find two numbers whose sum is -9 and product id -17
The numbers are -14 and 5
By splitting the middle term,
x^2 - 14x + 5x - 70
= x ( x - 14 ) + 5 ( x - 14 )
( x + 5 ) ( x - 14 )
Hope this helps
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