Answer:
She should aim 6 feet down the wall
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
x/4 = y/2 ⇒ x = 2y
You have other equation:
x+ y = 18
Substitute
2y + y = 18
3y = 18
y = 18/3
y = 6 ← this is the distance down the wall where the ball should hit
x = 2(6) = 12
Then, she should aim 6 feet down the wall.
Answer: y = 2x^4
The graph represents a parabolic-looking shape so it's either a quadratic or some even degree polynomial. This rules out y = -2x^3 and y = 2x^3 as they are cubics with odd degrees
The degree of a polynomial is the largest exponent. It determines the end behavior. In this case, both ends are rising upward together. Because they are rising up in the positive y direction, this means that we cannot have y = -2x^4 as the answer. For example, if x = 2 then y = -2*x^4 = -2*2^4 = -32, but the point (x,y) = (2,-32) isn't on the blue curve. So we can rule y = -2x^4 out.
The fact that y = 2x^4 has a positive leading coefficient tells us that the endpoints point upward.
First we find the vertex of parabola
The vertex of parabola is
Here,
b = coefficient of x term
a = coefficient of x² term
For given parabola, b = 0 , a = -12
So,
And,
Thus the vertex of parabola is (0, 7)
To find another point on parabola, substitute x by 1.
So the second point on parabola is (1,-5)
The plot of parabola is shown in image below:
All you need to do is add 12383 and 113211 to get 125594
Answer : A it is decreased by $70,000
Federal reserve sells $70,000 in treasury bonds to a bank.
Removing cash decreases the money supply . Money supply decreases when exchanging for bonds. That is the immediate effect on money supply.
Federal reserve sells $70,000 . so money supply is decreased by $70,000
