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saw5 [17]
3 years ago
5

The equation V(t) = 12,000(0.75)^t represents the value of a motorcycle

Mathematics
1 answer:
user100 [1]3 years ago
7 0

Answer:

(2) The motorcycle cost $12,000 when purchased.

Step-by-step explanation:

In the standard exponential equation, y = ab^x, a is the original value.

Since the equation is V(t) = 12,000(0.75)^t, a is 12,000.

This means that the original value was 12,000.

So, the motorcycle cost $12,000 when it was first purchased.

The correct answer is (2) The motorcycle cost $12,000 when purchased.

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I need the answer for number 6 please:)
Goshia [24]

Answer: 12.5

25 / 2 = 12.5

and so does

25 x .50 = 12.5

We are just cutting the price in half, or 50%.

Hope this helps you!

5 0
3 years ago
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
Which shows the image of quadrilateral ABCD after the transformation R0, 90°?
avanturin [10]

Answer:

A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)

Step-by-step explanation:

The coordinates of rectangle ABCD are A(-1,0), B(0,-1), C(-2,-3), (-3,-2).

The mapping for a rotation through 90° clockwise about the origin is

(x,y)\to ( - y,x)

Therefore:

A(-1,0)\to A'(0,-1)

B(0,-1)\to B'(1,0)

C(-2,-3)\to C'(3,-2)

D(-3,-2)\to D'(2,-3)

Therefore the image rectangle has coordinates:

A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)

The first choice is correct.

4 0
3 years ago
Read 2 more answers
Find the volume of each figure, round to nearest tenth
jenyasd209 [6]
Answer
Height:8km
Radius:4km
Diameter:8
Volume:402.12
3 0
2 years ago
Write the formula for the following sequence.<br>5.8, 3.6, 1.4,...<br>PLEASE SHOW YOUR WORK.​
sladkih [1.3K]

tn = t(n - 1)- 2.2

common difference is

3.6 - 5.8 = -2.2

let T1 = 5.8

T2 = 3.6

assuming we are to find T2

T2 = T(2-1) -2.2

= T1 -22

= 5.8 -2.2

= 3.6

3 0
2 years ago
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