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3 years ago

Directions - Identify the key components, create an exponential equation, then answer the questions.

Mathematics

1 answer:

Tamiku [17]3 years ago

8 0

Answer:

Directions - Identify the key components, create an exponential equation, then answer the questions.

Exponential Form: y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b

, a is the starting value, b is the base (rate).

In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?

1) a = 15

4) Dogs after 1 years = 45

2) b = 3

5) Dogs after 2 years = 135

3) Equation:

y= 15 ×3x

6) Dogs after 3 years =

405

Step-by-step explanation:

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Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

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<h3>What is a quadratic equation?</h3>

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

$x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}$

From the information provided, we have the following values;

0 = -3x² - 2x + 6

Where:

a = -3

b = -2

c = 6

Substituting the values into the quadratic formula, we have;

$x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(-3)(6)}}{2(-3)}\\\\x = \frac{2\; \pm \;\sqrt{4^2 - 4(-3)(6)}}{2(-3)}$

Read more on quadratic equation here: brainly.com/question/4053652

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2 years ago

Find the value of x and find whether the angles or supplementary or complementary.

Alborosie

Answer:

1) x = 31

2) Both angles add up to be a supplementary angle (an angle who's sum is 180° altogether).

Step-by-step explanation:

1) Since both angles add up to be a supplementary,

→ equation 1 + equation 2 = 180

→ (3x + 25) + (2x) = 180

Solving by applying algebra will give the answer "x = 31".

Hope this helps!

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