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saw5 [17]
4 years ago
13

Drive Down is a racing video game. The game gives each player an initial amount of $5,000 in virtual money. After that, a player

gets $500 in virtual money for each race won. What function represents the amount of virtual money a player has in terms of the number of races won?
The independent quantity is the , and the dependent quantity is the _________ and the dependent quantity is the _________ The function representing the situation is _________
Mathematics
2 answers:
Sholpan [36]4 years ago
3 0
Independent quantity (x) is number of races won
dependent quantity f(x)...or y is total virtual money
the function is : f(x) = 500x + 5000 or y = 500x + 5000
bogdanovich [222]4 years ago
3 0

Answer:

The game gives each player an initial amount of $5,000 in virtual money. After that, a player gets $500 in virtual money for each race won. This $5000 is fixed.

Let the races won be x

So, the function that represents the amount of virtual money a player has in terms of the number of races won becomes :

f(x)=500x+5000

The independent quantity (x) is : the number of races won

And the dependent quantity f(x) or y is : the total virtual money earned

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A) A man spends 1/5 part of his income on his life insurance and 1/3 on food. If he deposites the remaining sum of Rs 8400 in a
svp [43]
The answer is Rs 126000.

Explanation:

8400 ÷ 1/3 ÷ 1/5

= 8400 * 3/1 * 5/1

= 8400 * 3 * 5

= 126000
6 0
3 years ago
What is 0.7b^3•0.4b^9
Dennis_Churaev [7]

It's an expression that can be simplified to read

       ( 0.7  x  0.4 ) ( b³  x  b⁹ )

   =  (      0.28    )  (    b¹²      )  =  0.28 b¹² .

4 0
3 years ago
Which is the graph of the system of equations?<br> x + 2y = 2<br> 4x - y = 4
Sladkaya [172]
Solve for x for x: x+2y=2
x+2y +-2y=2+-2y (add -2y on both sides.)
x=-2y+2
Substitute : -2y+2 for x in
4x-y=4:
4(-2y+2)-y=4
-9y+8=4 Simplify both sides of the equation.
-9y+8+-8=4+-8 Add -8 to both sides.
-9y=-4
-9/-9=-4-9 Divide both sides by -9
y=4/9
Substitute 4/9 for y in
x=-2y+2
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x=10/9
y=4/9,x=10/9




4 0
3 years ago
Two birds sit at the top of two different trees. The distance between the first bed and a birdwatcher on the ground is 34 feet t
stira [4]

Answer:

Step-by-step explanation:

The given triangle is a right angle triangle.

The distance between the first bed and the bird watcher on the ground represents the opposite side of the right angle triangle.

The distance between the birdwatcher and the second bird is 47 feet. This represents the hypotenuse of the right angle triangle. To determine the angle of depression, x degrees, we would apply the Sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Sin x = 34/47 = 0.723

x = Sin^-1(0.723)

x = 46.3 degrees to the nearest tenth.

5 0
3 years ago
Read 2 more answers
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x &gt; 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
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