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3 years ago

Find the Linear function model that best fits this data.

Mathematics

2 answers:

bezimeni [28]3 years ago

6 0

Answer:

qqqqqqqqqqqqqqqqqqqaqqq

Leno4ka [110]3 years ago

5 0

Answer:

y=-5x+3

Step-by-step explanation:

I always use desmos when i have graphing questions so i recommend using that!

Hope this helped! Have a great rest of your day!

Please mark me brainliest :)

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The points ????(0,0), ????(−4,1), ????(−3,5), and ????(1,4) are the vertices of parallelogram OABC Is this parallelogram a

gavmur [86]

Answer:

Yes, parallelogram OABC is a rectangle.

Step-by-step explanation:

The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).

A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.

product of slopes of two perpendicular lines is -1.

Formula for slope is

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Using the formula we get

$m_{OA}=\dfrac{1-0}{-4-0}=-\dfrac{1}{4}$

$m_{AB}=\dfrac{5-1}{-3-(-4)}=-\dfrac{4}{1}=4$

$m_{OA}\times m_{AB}=-\dfrac{1}{4}\times 4=-1$

It means OA is perpendicular to AB.

Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.

6 0

4 years ago

Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3).

Soloha48 [4]

Step 1: evaluate f(x+h) and f(x)

We have

$f(x+h) = -(x+h)^2+6(x+h)-5 = -(x^2+2xh+h^2)+6x+6h-5$

$= -x^2-2xh-h^2+6x+6h-5$

And, of course,

$f(x)=-x^2+6x-5$

Step 2: evaluate f(x+h)-f(x)

$f(x+h)-f(x)=-x^2-2xh-h^2+6x+6h-5-(-x^2+6x-5)=-2xh-h^2+6h$

Step 3: evaluate (f(x+h)-f(x))/h

$\dfrac{f(x+h)-f(x)}{h}=-2x-h+6$

Step 4: evaluate the limit of step 3 as h->0

$f'(x) = \displaystyle \lim_{h\to 0} \dfrac{f(x+h)-f(x)}{h}=-2x+6$

So, we have

$f'(1) = -2\cdot 1+6 = 4,\quad f'(2) = -2\cdot 2+6 = 2,\quad f'(3) = -2\cdot 3+6 = 0$

5 0

3 years ago

Given H = f(t) where H is the height in meters of an object and t is the time in seconds since it was launched, which of the fol

dangina [55]

Answer:

Recall that the height of the object, in meters, is a function of elapsed time, in seconds. Thus what $f(8)=12$ means is that the object is at a height of 8 meters when 12 seconds have passed since its launch.

3 0

3 years ago

Kim wants to estimate 5.494 + 1.108 by first rounding to the nearest hundredth. Find her mistake and correct it.

alexandr1967 [171]

Umm... not sure what her mistake is, but it should be 5.49+1.11=6.6

7 0

3 years ago

Find the value of −b8 when b=20

Viefleur [7K]

-160

Since -(20x8) the answer would be -160

6 0

3 years ago