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BartSMP [9]
3 years ago
5

Which equation is y=-3x2 - 12x - 2

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:2

Step-by-step explanation:

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For landing on heads the fraction is 1/2 which is 50%
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1,958.55 divided by 15?????
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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
Read 2 more answers
A faucet drips 2/3 gallon of water in 10 hours. What is the unit rate of water dripped per day?
kobusy [5.1K]

Answer:

1.6 Gallons Per Day

Step-by-step explanation:

first you got to do 2/3 which is 0.666666 then i multiply 0.66666 by 2 so it at 20 hours which is 1.333333 then i did 0.666666 and divided it by 10 which is 0.066666then i multiply 0.066... by 4 which is 0.2666666  then i added  0.2666666 and 1.3333333 together and it made 1.6

7 0
3 years ago
Suppose that the functions r and s are defined for all real numbers x as follows. =rx−x5 =sx+2x3 write the expressions for ·rsx
PolarNik [594]

Although the question's print is not clear, to the best of my knowledge, as I can see, We are given that:

r(x)=-x^5 and s(x)=2x^3

No, we know that, by definition:

(r.s)(x)=r(x)\times s(x)

\therefore (r.s)(x)=-x^5\times 2x^3=-2x^8

Thus, for the functions r and s which are defined for all real numbers x, the answer to the question asked is:

(r.s)(x)=-2x^8

8 0
3 years ago
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