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3 years ago

30 POINTS smart people only

Mathematics

1 answer:

stiv31 [10]3 years ago

4 0

Yes you're right.
The way to find out if functions are inverses of each other is to check and see if their composite functions are equal to x. Also make sure the functions are one to one functions.
(fog)(x)=f(g(x))=f(3/2x-9)
f(3/2x-9)=2/3(3/2x-9)+6
=(2/3)(3/2)x+(2/3)(-9/1)+6
=x-18/3+6
=x-6+6
I hope this helped! #Sobangcha

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How many tiles are in figure 100? . Figure 1 Figure 2 Figure 3

Ilia_Sergeevich [38]

Answer:

202

Step-by-step explanation:

$in\\\\F(1)=4\:dots\\\\F(2)=F(1)+2=4+2=6\:dots\\\\F(3)=F(2)+2=F(1)+2+2=F(1)+2(2)=8\:dots\\\\As\:you\:can\:see\:in\\\\F(n)=F(1)+2(n-1)\\\\So\:with\:n=100\\\\F(100)=F(1)+2(100-1)\\\\F(100)=4+2(100)+2(-1)\\\\F(100)=4+200-2\\\\F(100)=200+2\\\\F(100)=202$

3 0

3 years ago

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Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect?

lakkis [162]

Given a circle described by the equation:
$y^2+x^2=100$
and a function g(x) given by the table
$\begin{center}
\begin{tabular}{ |c |c |c }
 x & g(x) \\
 -1 & -22 \\
 0 & -20 \\
1 & -18 
\end{tabular}
\end{center}$

The function g(x) describes a straight line with the equation:
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1} \\ \\ \frac{y-(-22)}{x-(-1)} = \frac{-20-(-22)}{0-(-1)} \\ \\ \frac{y+22}{x+1} = \frac{-20+22}{0+1} = \frac{2}{1} \\ \\ y+22=2(x+1)=2x+2 \\ \\ y=2x-20$

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
$y^2+x^2=100 \\ \\ (2x-20)^2+x^2=100 \\ \\ 4x^2-80x+400+x^2=100 \\ \\ 5x^2-80x+300=0 \\ \\ x^2-16x+60=0 \\ \\ (x-6)(x-10)=0 \\ \\ x-6=0 \ or \ x-10=0 \\ \\ x=6 \ or \ x=10$

When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0

Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).

8 0

4 years ago

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Im accidentally clicking on the answer choices, don’t mind that lol , pls help me jsjs

nikklg [1K]

Answer:

The first one

Step-by-step explanation:

Might be wrong sorry

6 0

3 years ago

Please help this is geometry and I am not quite sure how to solve this one

Lyrx [107]

Answer:

x = 1

y = 1.7

z = 60⁰

work:

z = 60 because the three angles add to 180⁰ and 180⁰ - 90⁰ - 30⁰ = 60⁰

in a 30-60-90 triangle, the hypotenuse is twice the length of the shorter leg, so x = 1.

the longer leg is the short leg * Sq rt of 3

Sq rt of 3 to the nearest tenth is 1.7, so 1.7 * 1 is still 1.7, so y = 1.7.

8 0

3 years ago

F(x) = (2/5)^x g(x) = (2/5)^x– 3

Nastasia [14]

Letter C
The - 3 at the end of the function means the function is shifted down 3 units. This also shifts the asymptote down 3 units.

6 0

3 years ago

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