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Ksenya-84 [330]
2 years ago
11

#7: Cole plans to purchase a car that depreciates at a rate of 9.2% per

Mathematics
1 answer:
Oliga [24]2 years ago
6 0

Answer:

I'm not really sure but I think the answer is 21,331.20 for 3 year the interst will be 331.20

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Solve for unknown in 2x^3+6x^2-20x=0​
Licemer1 [7]

The solution of x is x = 0, x =2 and x = -5

<h3>How to solve for the unknown?</h3>

The equation is given as:

2x^3+6x^2-20x=0​

Factor out x

x(2x^2+6x-20)=0​

Split the equation

x = 0 or 2x^2+6x - 20=0​

Solve for x in 2x^2+6x - 20=0​

Expand the equation

2x^2 + 10x - 4x - 20 = 0

Factorize the equation

(2x - 4)(x +5) = 0

Split the equation

2x - 4 = 0 and x + 5 = 0

Solve for x

x =2 and x = -5

Hence, the solution of x is x = 0, x =2 and x = -5

Read more about equations at:

brainly.com/question/13712241

#SPJ1

3 0
1 year ago
30 POINTS PLEASE HELP!!! 4. The following equations represent the same quadratic function written in standard, vertex, and inter
sergij07 [2.7K]

Answer:

A

Step-by-step explanation:

So we have the quadratic equation and it's written in three equivalent forms:

f(x)=0.5x^2+x-1.5\\f(x)=0.5(x+1)^2-2\\f(x)=(0.5x+1.5)(x-1)

Let's determine the characteristics of the quadratic equation with the given equations.

From the first equation, since the leading coefficient (0.5) is positive, we can be certain that the graph opens upwards.

Also, the constant term is -1.5, so the y-intercept is (0,-1.5).

The second equation is the vertex form. Vertex form has the format:

f(x)=a(x-h)^2-k

Where (h,k) is the vertex. From the second equation we know that h is -1 (because (x+1) is the same as (x-(-1))) and k is -2. Therefore, the vertex is (-1,-2).

And since the graph points upwards, this means that (-1,-2) is the minimum point of the function. In other words, the range of the function is greater than or equal to -2. In interval notation, this is:

[-2,\infty)

This also means that the end behavior of the graph as a x approaches negative and positive infinity is positive infinity because the graph will always go straight up.

Also, the third form is the factored form. With that, we can solve for the zeros of the quadratic. The zeros are:

0.5x+1.5=0\text{ and } x-1=0\\0.5x=-1.5 \text{ and }x=1\\x=-3\text{ and }x=1

Therefore, the graph crosses the x-axis at x=-3 and x=1.

So, from the three equations, we gathered the following information:

1) The graph curves upwards.

2) The roots of zeros of the function is (-3,0) and (1,0).

3) The y-intercept is (0,-1.5).

4) The vertex is (-1,-2). This is also the minimum point.

5) Therefore, the range of the graph is all values greater than or equal to -2.

6) The end behavior of the graph on both directions go towards positive infinity.

Therefore, our correct answer is A.

B is not correct because the line of symmetry (or the x-coordinate of the vertex) here is -1 and not 1/2.

C is not correct because the graph goes towards <em>positive </em>infinity since it shoots straight up.

And D is not correct because the y-intercept is (0,-1.5).

3 0
2 years ago
Read 2 more answers
Jamal ran 8 kilometers, sprinted 500 meters, and climbed bleachers for a distance of 1.5 kilometers during track practice. How m
xeze [42]
1 kilometer=1000 meters so the 8 kilometers he ran would be 8000 meters then theres the 500 he sprinted. he climbed bleachers for 1.5 kilometers which would equal 1500 meters so 8000+500+1500=10,000. He traveled 10,000 kilometers.
6 0
3 years ago
Read 2 more answers
What tells us how many steady beats go in a measure?
Step2247 [10]

Answer:

You'll spot the time signature in the beginning of the music – it's two numbers stacked vertically. The top number tells you how many beats there are in one measure.

Step-by-step explanation:

hope it helps

5 0
1 year ago
A 6,000​-seat theater has tickets for sale at ​$28 and ​$40. How many tickets should be sold at each price for a sellout perform
RUDIKE [14]

Answer:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Step-by-step explanation:

So, we need to write two equations in order to solve this:

We will think of 28 dollar tickets as x, 40 dollar tickets as y.

Now lets make those equations:

x + y = 6,000

             and

28x+40y = 193,200

Now, to solve for x and y, lets set a value for x or y. In this case I will set the value of y:

I will do this by taking x + y = 6,000, and subtracting x to the other side, to get y alone:

y = 6,000 - x

Now lets plug in y to our second equation:

28x + 40(6,000-x) = 193,2000

=

28x+240,000-40x = 193,200

Now combining like terms and solving for x we get:

-12x + 240,000 = 193,200

=

-12x = -46,800

=

x=3,900

Now that we know x, lets solve for y by plugging into our first equation!

3,900 + y = 6,000

=

y = 2,100

So now we know that our answer is:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Hope this helps! :3

7 0
2 years ago
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