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Alisiya [41]
3 years ago
14

QuCSLIUI 10 POILS) If (a, -5) is a solution to the equation 3a = -2b - 7, what is a?

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

a=1

Step-by-step explanation:

all work is shown and pictured

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Pleasee help im terrible at this! 15p
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Which algebraic expression is equivalent to the expression below?
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Each of 4 tables at a party is set with a bowl of grapes. Each
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Step-by-step explanation:

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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

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