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2 years ago

14

Which method do you prefer: the slope-intercept form y = mx + b or the point-slope form y - y1= m(x - x1)? Explain in a brief pa

ragraph why you prefer that method over the other.

1 answer:

Ad libitum [116K]2 years ago

4 0

Answer:

Step-by-step explanation:

y=mx + b is easier to solve for when you need to find slope intercept form. If you have your y and mx you can figure out what your b is.

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What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below?

Aliun [14]

What are the constraints?

When you graph the constraints the four points you can use are (0,0), (10,0), (0,2), and (6,2).

(10,0) is the point that gives you the maximum value which is 40.

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2 years ago

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1) El ritmo cardíaco de un gato ( en latidos por minuto) es función lineal de su temperatura corporal (en grados Celsius). En co

olga55 [171]

Answer:

$y=10x-170$

Step-by-step explanation:

This problem can be modeled by a linear function, where we have two points (37°C, 200) and (32°C, 150).

Notice that the temperature is the independent variable, because the heartbeat of the cat won't change the temperature, it works in the opposite way.

First, let's find the constant ratio of change.

$m=\frac{150-200}{32-37}=\frac{-50}{-5}=10$

This means the hearbeat of the car changes 10 pulses per minute each 1 celsius degree.

Now, we use the point slope formula to find the equation

$y-y_{1} =m(x-x_{1} )\\y-150=10(x-32)\\y=10x-320+150\\y=10x-170$

Theerefore, the function that represents this situation is

$y=10x-170$

Where $x$ represents temperature and $y$ represents hearbeats.

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2 years ago

Given that vector p=i+2j-2k and q=2i-j+2k, find two vectors m and m satisfying the condition;

Stels [109]

9514 1404 393

Answer:

m = j +k
n = 2i +k

Step-by-step explanation:

There are <em>an infinite number of possibilities</em>. Any vector whose dot-product with p is zero will be perpendicular to p.

Let m = 0i +1j +ak. Then we require ...

m·p = 0 = 0×1 +1×2 +a(-2) ⇒ 0 = 2 -2a ⇒ a = 1

m = 0i +1j +1k

__

Let n = 2i +0j +bk

n·p = 0 = 2×1 +0×2 +b(-2) ⇒ 2 -2b = 0 ⇒ b = 1

n = 2i +0j +1k

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2 years ago

PEASE HELP! The table below shows the values of y for different values of x:

Shkiper50 [21]

<span>A) y = 3x because the slope (rate of change) is 3. The y-intercept is 0 so we don't necessarily need to add anything else.
</span>

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Alex777 [14]

Answer:

What do you need help with?

Step-by-step explanation:

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2 years ago