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Dovator [93]
4 years ago
15

Without drawing the graph of the function y=1.2x−7, see if the graph passes through points: (100; 113)

Mathematics
1 answer:
masya89 [10]4 years ago
5 0

Answer:

The graph of the function passes through the point (100; 113).

Step-by-step explanation:

In order to calculate if the graph of the function passes through the point or not, we need to insert the point's coordinates in the function and check if the equation is valid or not, if it is, then the graph passes through them.

y(x) = 1.2*x - 7\\y(100) = 1.2*100 - 7\\y(100) = 120 - 7 \\y(100) = 113

Which is equal to the "y" coordinate of the point, therefore the graph of the function passes through the point (100;113).

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Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per <em>n</em> seconds

- Need to solve for <em>n</em>

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

\frac{1.86 * 10^5}{1} = \frac{5.062 * 10^1^3}{n}

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

<em>n </em>× (1.86 × 10^5) = 5.062 × 10^13

4. Solve for <em>n</em> by isolating the variable and dividing.

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<em>n</em> = \frac{5.062 * 10^1^3}{1.86 * 10^5}

<em>n </em>= 2.72 × 10^8 (Make sure to include the unit, seconds)

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