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3 years ago

Factor 24m – 12p + 72 to identify the equivalent expressions.

Mathematics

1 answer:

Nata [24]3 years ago

6 0

Answer:

C. 12 (2m - p + 6)

Step-by-step explanation:

just distribute

12 (2m) = 12m

12 (- p) = -12p

12 (6) = 72

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Find the equation of the line graphed below. Write the equation in the form y = mx + b and identify m and b m = b =

Alla [95]

ANSWER:

m = -3/4

b = -3

$y=-\frac{3}{4}x-3$

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope-intercept form is the following:

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}$

We calculate the slope as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

To calculate the slope we use the intercepts that are (-4, 0) and (0, -3), we replace:

$m=\frac{-3-0}{0-(-4)}=\frac{-3}{4}=-\frac{3}{4}$

Now, the value of b would be -3, since the y-intercept is (0,-3), therefore, the equation would be:

$y=-\frac{3}{4}x-3$

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1 year ago

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Nikitich [7]

Answer:

x=3

Step-by-step explanation:

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3 years ago

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borishaifa [10]

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3 years ago

A ball is thrown from a height of 38 meters with an initial downward velocity of 3 m/s

ANTONII [103]

<h2>Hello!</h2>

The answer is:

The ball will hit the ground after $t=2.47s$

Since we are given a quadratic function, we can calculate the roots (zeroes) using the quadratic formula. We must take into consideration that we are talking about time, it means that we should only consider positive values.

So,

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$

We are given the function:

$h=-5t^{2}-3t+38$

Where,

$a=-5\\b=-3\\c=38$

Then, substituting it into the quadratic equation, we have:

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}=\frac{-(-3)+-\sqrt{(-3)^{2} -4*-5*38} }{2*-5}\\\\\frac{-(-3)+-\sqrt{(-3)^{2} -4*-5*38} }{2*-5}=\frac{3+-\sqrt{9+760} }{-10}\\\\\frac{3+-\sqrt{9+760} }{-10}=\frac{3+-\sqrt{769} }{-10}=\frac{3+-27.731}{-10}\\\\t1=\frac{3+27.731}{-10}=-3.073s\\\\t2=\frac{3-27.731}{-10}=2.473s$