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ruslelena [56]
3 years ago
13

F(x) = 6x-6, g(x) = -x^2 find (f*g)(x)

Mathematics
1 answer:
Andre45 [30]3 years ago
5 0

Answer:

y=6x−6;gx=−x2

Step-by-step explanation:

y=6x−6;gx=−x2

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What is the area of a circle whose equation is (x-3)² + (y + 1) ² =81?
kupik [55]
Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle: 

\frac{(x-x_{1})^2}{r^2}+ \frac{(y-y_{1})_^2}{r^2}=1

Where (x_{1}, y_{1}) is the centre of the circle. In this case, we don't need to know the centre. Just the radius. 

Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81. 

\frac{(x-3)^2}{81}+ \frac{(y+1)^2}{81}=1

Great! We now know the radius of the circle. It is \sqrt{81} because it is the bottom fraction. Now we know that the radius is 9. 

So now lets input this into the area of circle formula: 

A=πr^2 

Now we insert our radius. 

A=9^2π 

=A=81π 

You can convert that into a decimal if you wish. 

Hope this helped!

~Cam943, Moderator
4 0
3 years ago
Write a scenario that could work for the following line of best fit y= x + 1 explain the slope and Intercept in this context
puteri [66]
A kid has $1 and he receives $1 everyday after doing his homework. So the initial money that he has is the y-intercept and the money that he receives everyday is the slope.

Hope this helps :)
6 0
4 years ago
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 5
Fynjy0 [20]

Answer:

a(6) = 37.97

Step-by-step explanation:

If the first term a(1) is 5 and the common ratio r is 3/2, then the general formula for this geometric sequence is

a(n) = 5*r^(n - 1).

Thus, the 6th term is a(6) = 5*(3/2)^(6 - 1), or a(6) = 5(3/2)^5 = 37.97

5 0
2 years ago
And employees salary increase by $4500 which represents a 15% raise what is the employees new salary
andriy [413]
4500÷.15= 30,000
30,000+4500=$34,500 salary
6 0
3 years ago
How do I solve this?
Artemon [7]

a^2 - b^2 = (a + b)(a - b)

In this case

49x^4y^2 - 4z^2

= (7x^2y)^2 - (2z)^2

= (7x^2y + 2z)(7x^2y - 2z)

Factors are (7x^2y + 2z) and (7x^2y - 2z)

Answer:

D) 7x^2y + 2z

8 0
3 years ago
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