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Anit [1.1K]
3 years ago
12

Write an equation of the line with the given slope, m and the y- intercept (o,b)

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0

Answer:

y=4x+9

Step-by-step explanation:

replace m with 4, which is the slope you gave, and

replace b with 9, the y-intercept you gave,

in the equation y=mx+b.

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The graph shows the total fare, y, for a taxi ride with respect to the miles traveled, x.
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Answer:

y-intercept = 3

The y-intercept represents the initial fee before any miles are traveled.

Step-by-step explanation:

By definition, the <u>y-intercept</u> is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The coordinates of the y-intercept is (0, <em>b </em>).

Looking at your graph, it shows that the line crosses the y-axis at (0, 3). Therefore, the y-intercept = 3.

The y-intercept represents the initial fee before any miles are traveled. This means that the taxi ride already has a set amount of $3, regardless of the number of miles traveled. This is added to the total cost of the taxi fare, which is represented by y.

7 0
3 years ago
A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded.
Anit [1.1K]

Answer:

\frac{1}{7}

Step-by-step explanation:

The satellite has 30 modular units.

There are equal numbers of non-upgraded sensors in each unit.

Let us assume that on the entire satellite there are x numbers of upgraded sensors.

Then as per the given condition, there are \frac{x}{5} number of non-upgraded sensors in one unit.

Therefore, the number of non-upgraded sensors on the entire satellite is \frac{30x}{5} =6x

Hence, total number of sensors in the satellite is (x+ 6x) =7x

Therefore, the required fraction of the upgraded sensors is \frac{x}{7x} =\frac{1}{7}. (Answer)

3 0
3 years ago
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