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kodGreya [7K]
3 years ago
14

The table represents some points on the graph of a linear function.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0

Answer:

B. -\frac{9}{2}

Step-by-step explanation:

Rate of change of y with respect to x, can be calculated using any two of the pairs of values of the table, say, (-2, 12) and (0, 3).

Rate of change = \frac{y_2 - y_1}{x_2 - x_1}

Let,

(-2, 12) = (x_1, y_1)

(0, 3) = (x_2, y_2)

Plug in the values

Rate of change = \frac{3 - 12}{0 - (-2)} = \frac{-9}{2} = -\frac{9}{2}

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A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position
Umnica [9.8K]

Answer:

height = 20.5068 m    

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5  { since the wheel starts at 6 o clock }

midline  C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5  

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5    

height = -17.5cos( 4.71238898) + 20.5    

height = -17.5 × cos( 4.712) + 20.5  

height = -17.5 × -0.00038898 + 20.5                  

height = 0.0068 + 20.5  

height = 20.5068 m    

8 0
3 years ago
How to solve 2 3/4 - 1 5/8
daser333 [38]

Answer:

1 1/8

Step-by-step explanation:

First, Make the first fraction into a new one with an equal denominator. (3/4 x2= 6/8)

Then, subtract the whole numbers (2-1=1) and the fractions (6/8-5/8= 1/8)

Lastly, add your two differences together and you get 1 1/8.

6 0
3 years ago
Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter
andreev551 [17]

Answer:

Step-by-step explanation:

In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.

It should be clear that

tan(sin^{-1} x/4) = x/\sqrt{16-x^{2} }

sin(tan^{-1} x/4) = x/\sqrt{16+x^{2} }

sin(2α) = 2 sinα cosα

So,

1/2 sin(2sin^{-1} x/4) = (1/2)(x/4) * x/\sqrt{16-x^2} = x^{2} /(8\sqrt{16-x^2})

See what you can do with the others.

6 0
3 years ago
Using identity evaluate: (104)²​
SOVA2 [1]

Answer:

104×104=10816

Step-by-step explanation:

104²=104×104

=10816

8 0
2 years ago
-y= -2x +5 how do you make variable positive
Anastaziya [24]
Hej!

You would need to multiply both sides by -1

Resulting in...
y=2x-5
7 0
3 years ago
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