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ira [324]
3 years ago
13

Write the equation of the line, in slope intercept form, that passes through the point (9,-5) and has a slope of -2

Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, thus

y = - 2x + c ← is the partial equation of the line

To find c substitute (9, - 5) into the partial equation

- 5 = - 18 + c ⇒ c = - 5 + 18 = 13

y = - 2x + 13 ← equation in slope- intercept form

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Please help asap, will mark Brainliest xoxo
IgorC [24]

Answer/Step-by-step explanation:

Given, b(x) = (\frac{6}{7})^{x}

The table for the function are:

When x = -2

b(-2) = (\frac{6}{7})^{-2}

b(-2) = \frac{1}{(\frac{6}{7})^{2}}

b(-2) = \frac{1}{(\frac{36}{49})}

b(-2) = 1*\frac{49}{36}

b(-2) = \frac{49}{36}

When x = -1

b(-1) = (\frac{6}{7})^{-1}

b(-1) = \frac{1}{(\frac{6}{7})}

b(-1) = 1*\frac{7}{6}

b(-2) = \frac{7}{6}

When x = 0

b(0) = (\frac{6}{7})^{0}

b(0) = \frac{6^0}{7^0}

b(0) = \frac{1}{1}

b(0) = 1

When x = 1

b(1) = (\frac{6}{7})^{1}

b(1) = \frac{6}{7}

When x = 2

b(2) = (\frac{6}{7})^{2}

b(2) = \frac{6^2}{7^2}

b(2) = \frac{36}{49}

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3 years ago
In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of t
alexandr402 [8]

Answer:

How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

Step-by-step explanation:

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Answer:

The angle Matt drew = 180°

Step-by-step explanation:

The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.

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8x = 360

x = 45°

∴ each angle drawn = 45°

Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.

Finding the measure of this angle:

1 section in the circle = 45 (<em>shown above</em>)

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Answer:

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