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Reika [66]
3 years ago
13

2x-3y=6 whats the slope and y-intercept?

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0

Answer:

The slope is 2/3 and the y-intercept is -2

Step-by-step explanation:

2x - 3y = 6

-2x      -2x       Subtract 2x from both sides

-3y = -2x + 6

y = 2/3x - 2     Divide both sides by -3 to get y by itself

The slope is 2/3 and the y-intercept is -2

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A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func
Gemiola [76]

Answer:

Since \bigtriangleup \geq 0, the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

f(x) = -16x^{2} + 200x

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup < 0, the polynomial has no solutions.

In this question:

f(x) = -16x^{2} + 200x

-16x^{2} + 200x = 612

16x^{2} - 200x + 612 = 0

We have to find \bigtriangleup

We have that a = 16, b = -200, c = 612. So

\bigtriangleup = (-200)^{2} - 4*16*612 = 832

Since \bigtriangleup \geq 0, the superhero makes it over the building.

7 0
3 years ago
The slope of the line below is -1. write the point-slope equation of the line using the coordinates of the labeled point.​
omeli [17]

Answer:

y+9=-1(x-4)

Step-by-step explanation:

Point Slope Form is:

y-y_1=m(x-x_1)

When:

'm' is the slope.

(x_1,y_1) is the coordinate.

We are given the slope of -1 and the coordinate of (4,-9).

So:

m=-1\\x_1=4\\y_1=-9

Using the information and replacing the values we get:

y+9=-1(x-4)

So, the line equation in point slope form should be: y+9=-1(x-4)

<em>Brainilest Appreciated. </em>

5 0
3 years ago
Read 2 more answers
There are 156 laptops and desktop computers in a lab. There are 8 more laptops than desktop computers. What is the total number
timama [110]
There are 86 laptops
7 0
3 years ago
Read 2 more answers
What is the rate of change of the function?<br>​
vaieri [72.5K]
<h3>Answer is -2</h3>

I hope it is helpful for you ....

6 0
3 years ago
Consider a total of 1,000 people. If it was said that within 1 deviation (of the mean) of all people like MATH 123, how many of
Lesechka [4]

Answer:

680 students

Step-by-step explanation:

The 68 - 95 - 99.7  rule (empirical rule) states that 68% of the population lies within one standard deviation of the mean,  95% of the population lies within two standard deviations and 95% of the population lies within three standard deviations.

Hence since it was said that within 1 deviation (of the mean) of all people like MATH 123, therefore the number of people that like MATH 123 is:

number of people that like MATH 123 = 68% of the population

number of people that like MATH 123 = 0.68 * 1000

number of people that like MATH 123 = 680 students

3 0
3 years ago
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