Answer:
Answer:
5x + 6
Step-by-step explanation:
(f-g)(x) is nothing but f(x) - g(x)
f(x) is |5x + 1| - 3 and g(x) is 4 so the equation is [|5x+1| - 3] - [4]
Once this is solved, the answer is 5x - 6. Since there's absolute value, remove the negative and change it to a positive to get the answer 5x + 6.
Answer:
eccentricity; e = 1/7
k = 12
Conic section; Ellipse
Step-by-step explanation:
The first step would be to write the polar equation of the conic section in standard form by multiplying the numerator and denominator by 1/7;

The polar equation of the conic section is now in standard form;
The eccentricity is given by the coefficient of cos theta in which case this would be the value 1/7. Therefore, the eccentricity of this conic section is 1/7.
The eccentricity is clearly between 0 and 1, implying that the conic section is an Ellipse.
The value in the numerator gives the value of k; k = 12
Answer: 9
Step-by-step explanation:
The answer is 20 stamps.
You can solve this by forming an equation with.
We know that she has a total of 50 at the end. So we will put the 50 stamps at the end of the equation and derive for the unknown.
She first gave 10 to her friend. This means we subtract first 10 from the unknown. Let x represent the unknown.
x-10
Afterwards Jane's mom bought her twice as many as she had at the beginning. So we know that we add twice as much as the unknown.
x-10+2x = 50
Now we solve. Let's arrange our terms by combining like terms:
3x - 10 = 50
Now we transpose the 10 to the other side of the equation:
3x = 50 + 10
3x = 60
And finally we transpose the 3 by the x to isolate x:
x = 60/3
= 20
She had 20 stamps in the beginning.