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Ostrovityanka [42]

2 years ago

8

I NEED YOUR HELLPPP!!

1 answer:

BaLLatris [955]2 years ago

6 0

Answer:

$y = -\frac{1}{2}x - 8$

Step-by-step explanation:

1. The slope-intercept form of a linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope, let's take the two points (-10,-3) and (-8,-4) to then plug their values into this formula: $\frac{y_2-y_1}{x_2-x_1}$

$\frac{-4-(-3)}{-8-(-10)}$
$-\frac{1}{2}$

3. Great, now that we have our slope, the equation looks like this so far: $y = -\frac{1}{2} x + b$ .

4. Since b is the y-intercept, b = -8 because the line intersects the y-axis at the coordinate, (0,-8).

5. When plugging in the values of m and b, we get the equation of $y = -\frac{1}{2} x - 8$

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C because it’s the best choice out of the four

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3 years ago

The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19

kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

$y = A \cdot r^{t}$

Where:

$A$ - Initial population.

$r$ - Increase rate.

$t$ - Time

$y$ - Current population.

The initial population and increase rate are, respectively:

$1200 = A \cdot r^{0}$

$A = 1200$

$1700 = 1200 \cdot r^{4}$

$r^{4} = \frac{1700}{1200}$

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$r = \sqrt[4]{\frac{17}{12} }$

$r \approx 1.091$

The exponential model that predicts the population of rabbits is:

$y = 1200\cdot 1.091^{t}$

Lastly, the expected population for the year 1996 is:

$y = 1200\cdot 1.091^{6}$

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5 0

3 years ago

A salesman needed to sell a used car. He priced it at $4,500 the first day it was on the

Akimi4 [234]

Answer:

$3960

Step-by-step explanation:

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7 0

3 years ago

Please help me out with this

andre [41]

Answer:

$\huge\boxed{\sqrt[3]{c^4}=c^\frac{4}{3}}$

Step-by-step explanation:

$\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\text{therefore}\\\\\sqrt[3]{c^4}=c^\frac{4}{3}$

5 0

3 years ago

What are the factors of -20 that have a sum of -1

qaws [65]

Answer:

The factors of -20 are:

1, 2, 4, 5, 10, 20

-1, -2, -4, -5, -10, -20

Step-by-step explanation:

6 0

2 years ago