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2 years ago

What is the slope intercept form?

Mathematics

1 answer:

iren2701 [21]2 years ago

3 0

For this case, we find the equation of the line of the form:

$y = mx + b$

Where:

$m = \frac {y2-y1} {x2-x1} = \frac {-3-0} {0 - (- 3)} = \frac {-3} {3} = - 1$

So, we have:

$y = -x + b$

We substitute one of the points: $0 = - (- 3) + b\\0 = 3 + b\\b = -3$

Thus, the equation is:

$y = -x-3$

Now, we substitute a point belonging to the region to determine the sign.

( $(0,0)\\0? - (0) -3\\0? -3$

-3 is less than 0.

Then, the inequality is:

$y> -x-3$

As the border of the region is dotted, then it remains ">."

Answer:

$y> -x-3$

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a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-

Natalka [10]

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

5 0

2 years ago

Madeline has used 50 sheets of a roll of paper towels, which is 5/8 of the entire roll. The equation 5/8s = 50 can be used to fi

raketka [301]

Answer:

s=80

Step-by-step explanation:

5/8ths is .625

80 x .625 =50

4 0

2 years ago

You consider yourself a bit of an expert at playing rock-paper-scissors and estimate that the probability that you win any given

cestrela7 [59]

Answer:

a) 0.37

b) 0.421

c) 0.25

Step-by-step explanation:

Since the probability of winning a game is binomial (P = 0.5) the expected value for number of winning when you play 60 games is

$\mu = 60*0.5 = 30$

And the standard deviation:

$\sigma = 60*0.5*0.5 = 15$

a) the cumulative probability of winning at least 35 games is

$P(X \geq 35) = 1 - P(X < 35) = 1 - 0.631 = 0.37$

b) $P(X < 27) = 0.421$

c) $P(30 \leq X \leq 40) = P(X \leq 40) - P(X \leq 30) = 0.75 - 0.5 = 0.25$

7 0

2 years ago

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Advocard [28]

Answer:4096

<h2>Step-by-step explanation4^6 </h2>

6 0

2 years ago

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fomenos

Answer:

Instead of 16 write 36

Step-by-step explanation:

when we see this carefully 4/6= 24/16

This is an equivalent fraction

when we multiply 4×6 we get 24 so we must multiply 6 with 6 . so the answer is 36.

4 0

2 years ago