All categories

3 years ago

What is the linear function equation represented by the graph?

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

5 0

Look at the picture.

The point-slope form of a line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (0, 1) and (2, 0). Substitute:

$m=\dfrac{0-1}{2-0}=\dfrac{-1}{2}=-\dfrac{1}{2}\\\\y-1=-\dfrac{1}{2}(x-0)\\\\y-1=-\dfrac{1}{2}x\qquad|+1\\\\y=-\dfrac{1}{2}x+1$

Answer: $f(x)=-\dfrac{1}{2}x+1$

You might be interested in

A traffic helicopter descends 167 meters to be 349 meters above the ground, as illustrated in the diagram to the right. Write an

morpeh [17]

Answer:

so ......when you write the equation for this question,

the original height (H) = current height + the decreased height

i.e.

H= 347m + 182m

H = 529 m

so the original height of the helicopter is 529 meters

Step-by-step explanation:

7 0

3 years ago

You triple your account balance by making a deposit. Then you withdraw $28.50 from your bank account. Now your account is overdr

Crazy boy [7]

Answer:

Your original account balance before you made the deposit is $6

Step-by-step explanation:

Let x = your original account balance.

You triple your account balance by making a deposit. This means

New account balance = 3 × x = 3x

Then you withdraw $28.50 from your bank account. This means that you have $(3x - 28.5) left.

Now your account is overdrawn by $10.50. This means you have withdrawn beyond what you have in your account. Your new account balance is -$10.5. Therefore,

3x - 28.5 = - 10.5

3x = -10.5 + 28.5 = 18

x = 18/3 = 6

Your original account balance before you made the deposit is $6

8 0

3 years ago

What are the coordinates of R’, the image of R(-4,3) after a reflection in the line y=x?

navik [9.2K]

Answer:

R'(3,-4)

Step-by-step explanation:

we know that

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places

The rule of the reflection across the line y=x is equal to

(x,y) ------> (y,x)

we have

R(-4,3) ------> R'(3,-4)

6 0

3 years ago

Which statement illustrates the associative property of addition?

Alex73 [517]

I think it’s B because

3 0

3 years ago

A point on the rim of a wheel has a linear speed of 33 cm/s. If the radius of the wheel is 50 cm, what is the angular speed of t

Zigmanuir [339]

Answer:

The angular speed of the wheel in radians per second is 0.66.

Step-by-step explanation:

Recall the following statement:

A linear speed (v) is given by,

$v=\omega \times r$ ...... (1)

Here, $\omega$ represents the angular speed of the wheel and <em>r</em> represents the radius of the wheel.

From the given information:

Linear speed (v) = 33 cm/s

Radius of the wheel (r) = 50 cm

Now to find the angular speed in radian per second.

$33 =50 \times \omega$

Divide both sides by 50.

$0.66 rad/sec= \omega$

Hence, the angular speed of the wheel in radians per second is 0.66.

4 0

3 years ago