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maksim [4K]
3 years ago
14

The graph represents function 1, and the equation represents function 2:

Mathematics
2 answers:
Vinvika [58]3 years ago
8 0
The rate of change of function 1 (a horizontal line) is zero.

The rate of change (slope) of function 2 is the x-coefficient, 8.

8 is 8 more than 0.

The 4th selection is appropriat:
  8
astra-53 [7]3 years ago
4 0

Answer:

Option D.

Step-by-step explanation:

The slope of a horizontal line is 0.

It is given that the function 1 is a horizontal line that passing through the y-axis at y = 4.

It means the rate of change of function 1 is 0.

The slope intercept form of a linear function is

y=mx+b            .... (1)

where, m is slope and b is y-intercept.

The function 2 is

y=8x+12           .... (2)

On comparing (1) and (2), we get

m=8

The rate of change of function 2 is 8.

The difference between rate of change is

8-0=8

The rate of change of function 2 is 8 more than the rate of change of function 1.

Therefore, the correct option is D.

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3 . Which list of numbers is ordered from least to
mihalych1998 [28]

Answer:

it’s C. 0.02,0.2.1/2, 2 1/2

6 0
3 years ago
In the triangle below,<br> y = [ ? ] cm. Round to the<br> nearest tenth.
sattari [20]

Answer:

The answer is

<h2>12.3 cm</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find y

To find y we use cosine

cos∅ = adjacent / hypotenuse

From the question

y is the adjacent

The hypotenuse is 15

So we have

\cos(35)  =  \frac{y}{15}  \\ y = 15 \cos( 35 )  \\ y = 12.28728

We have the final answer as

<h3>12.3 cm to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
To find the length of a line segment given endpoints is to use ______
ivann1987 [24]

Answer:

To calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. * i didnt know what to put so i put this*

8 0
2 years ago
You purchased a rare painting for $150 that is increasing in value by 3% annually. How many years will it take until it is doubl
Ahat [919]

Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

y=150(1+0.03)^t

y=150(1.03)^t

The value of painting after double is 300. Substitute y=300.

300=150(1.03)^t

Divide both sides by 150.

2=(1.03)^t

Taking log both sides.

\log 2=\log (1.03)^t

\log 2=t\log (1.03)

t=\dfrac{\log 2}{\log (1.03)}

t=23.44977

t\approx 23

Therefore, the required number of years is 23.

6 0
3 years ago
3 x 104 + 2.5 x 105 =<br> A. 0.5 x 105<br> B. 2.8 x 105<br> C. 3.25 x 105<br> D. 5.5 x 109
WITCHER [35]

Answer:

574.5 A) 52.5 B) 294 C) 341.25 D) 599.5

Step-by-step explanation:

3*104+2.5*105=312+262.5=574.5

A) 0.5*105=52.5

B) 2.8*105=294

C) 3.25*105=341.25

D) 5.5*109=599.5

6 0
3 years ago
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