11 is 62% of what number? Round to the nearest tenth.

What is the equation of the graphed line written in

Andrew [12]

Given:

Given that the graph of the linear equation.

We need to determine the equation of the graph.

Slope:

The slope of the equation can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Let us substitute the coordinates (2,0) and (0,-4) in the above formula, we get;

$m=\frac{-4-0}{0-2}$

$m=\frac{-4}{-2}$

$m=2$

Thus, the slope of the equation is 2.

y - intercept:

The y - intercept of the equation is the value of y when x = 0.

Hence, from the graph, it is obvious that when x = 0, the value of y is -4.

Therefore, the value of the y - intercept is b = -4.

Equation of the line:

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting the values, we have;

$y=2x-4$

Subtracting both sides by 2x, we have;

$-2x+y=-4$

Dividing both sides by -1, we get;

$2x-y=4$

Thus, the equation of the line is $2x-y=4$

Hence, Option B is the correct answer.

3 0

2 years ago

Marc is decorating 60 cupcakes for a school fund-raiser. He starts working at 1:00 P.M. In the afternoon, first setting up his s

Zinaida [17]

I’m not sure but 1:48 P.M.

4 0

3 years ago

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Can you help me on this geometry question?

Lubov Fominskaja [6]

What is the question?

3 0

2 years ago

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Can someone help? And yes it shows the whole page! :)

cricket20 [7]

Uhh the the Nader ic clearing at the back page

8 0

3 years ago

You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−11x+330, wher

Mars2501 [29]

Answer:

1) Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x ${}$ h(x)

0 ${}$ 330

5 ${}$ 275

10 ${}$ 220

15 ${}$ 165

20 ${}$ 110

25 ${}$ 55

30 ${}$ 0

Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

8 0

2 years ago

Read 2 more answers

11 is 62% of what number? Round to the nearest tenth.​

11 is 62% of what number? Round to the nearest tenth.