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3 years ago

Use the graph below. Describe the speed of the remote-control car over time.

Mathematics

1 answer:

liraira [26]3 years ago

3 0

It's pretty simple. What you should tell is:
The car has lost half of it's speed for first 3 seconds of movement (from 4 mi/h down to 2 mi/h). Then it became moving in 2.5 times faster for next 2 seconds (from 2 mi/h up to 5 mi/h) and after that it was moving at constant speed (5 mi/h).

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(-4+5)/(-1)+3-21/(-7)13[-11(-2)-19

sukhopar [10]

Answer:

no habla español

Step-by-step explanation:

5 0

3 years ago

The back of a dog house is composed of a square and a triangle . How much wood wood is needed for the back of the dog house to t

Anastaziya [24]

Answer:

Step-by-step explanation:

I just know I was in class with my teacher

8 0

3 years ago

Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

Nataliya [291]

Answer:

$f(x)=\frac{1}{2}x^2-4x+5$

Step-by-step explanation:

A parabola is written in the form

$f(x)=a((x-h)^2+k)$ (1)

where:

$h$ is the x-coordinate of the vertex of the parabola

$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

$ak=-3$

From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

$f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3$ (4)

We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

So the equation of the parabola is:

$f(x)=\frac{1}{2}((x-4)^2 -6)$ (5)

Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

$f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5$

6 0

3 years ago

a new car is purchased for 207000 dollars. the value of the car depreciates at 11% per year. what will the value of the car be,

kicyunya [14]

Depreciation of 11% per year means that the price is multiplied by 89% (0.89) every year. Do this 11 times or use exponents

Final price:
207000*(0.89^11) = 57446.083

7 0

3 years ago

The center of a circle is at (−3, 1) and its radius is 9.

pickupchik [31]

Answer:

Sorry but the correct answer is (x+3)2+(y−1)2=81

Step-by-step explanation:

Because the radius squared is the answer of the equation

4 0

3 years ago