The value of (f - g)(x) is -x² + 3x + 7.
<h3>What is Function?</h3>
The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given functions are;
f(x) = 3x + 1
g(x) = x² - 6
Now,
(f - g)(x) = f(x) - g(x)
= (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
(f - g)(x) = -x² + 3x + 7
Thus, the value of (f - g)(x) is -x² + 3x + 7.
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Answer:
The ratio of AC/CB=1/3
Step-by-step explanation:
We use the section formula:

We substitute the point A(-1.5,0) and B(4.5,8).
We plug in the points to get:

This is supposed to be equal to: (0,2).

We can equate, corresponding coordinates to find m and n.

This implies that:




Therefore the ratio is m:n=1:3
Answer:
<h2> There is no slope.</h2>
Step-by-step explanation:

It means that for a line passing through two points to have the slope, the x-coordinates of these point have to be different.
(-4, 0) and (-4, -10) means x₁ = x₂ = -4, <u>so there is no slope.</u>
{the line is parallel to Y-axis, and has an equation: x=-4}
Answer:
coin flip is 1/2
2 numbers are less than 3 so 2/6 = 1/3
1/2 x 1/3 = 1/6 probability total
240 x 1/6 = 40
answer is C) 40
Step-by-step explanation:
It's 5 over 9 because you start off with 10 cards (6 roses 4 daisies) then you pick a rose. Then it become's 5 over 9 since there are only 5 roses left and 9 total cards left.