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3 years ago

Select the two statements that are true about the equation y+6=−10(x−3).

Mathematics

1 answer:

qwelly [4]3 years ago

6 0

I have taken that test (although I don't see you're statements)

I believe the statements to choose from are:

A.) The slope of the line is −10.

B.) The slope of the line is 3.

C.) One point on the line is (3, 6).

D.) One point on the line is (3,−6)

<u>The answers are:</u>

A.) The slope of the line is -10

D.) One point on the line is (3,-6)

<u>Explanation: </u>

The given equation of line is (1). The point slope form of a line is (2) Where m is the slope of line and (x₁,y₁) are points. On comparing (1) and (2) we get The slope of given line is -10 and the line passing through the points (3,-6).

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3 years ago

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3 years ago

Find a formula for the exponential function passing through the points (-1,5/3) and (3, 135).

Artyom0805 [142]

The expression y = 4.998 · $e^{1.098\cdot x}$ is the exponential function that passes through the points (- 1, 5 / 3) and (3, 135).

<h3>How to derive an exponential function that passes through two given points</h3>

Herein we find the location of two points set on Cartesian plane that belongs to an exponential function of the form:

$y = A \cdot e^{B \cdot x}$

Where:

A - y-Intercept of the exponential function.
B - Growth factor
x - Independent variable.
y - Dependent variable.

Which is equivalent to the following logarithmic expression:

㏑ y = ㏑ A + B · x

If we know that (x₁, y₁) = (- 1, 5 / 3) and (x₂, y₂) = (3, 135), then the following system of equations is generated:

㏑ (5 / 3) = ㏑ A - B

㏑ 135 = ln A + 3 · B

Then, we solve the system by numerical methods:

㏑ A = 1.609 (A = 4.998), B = 1.098

And the exponential function is equal to y = 4.998 · $e^{1.098\cdot x}$ .

To learn more on exponential functions: brainly.com/question/11487261

#SPJ1

6 0

2 years ago