All categories

3 years ago

I’m not sure how to do this

Mathematics

1 answer:

bekas [8.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

We will write the equation in slope-intercept form since that's the easiest one to write from looking at a graph. The slope-intercept form of a line is

y = mx + b, where m is the slope and b is the y-intercept.

The "intercept" part of the equation comes from the y-intercept of the line. The y-intercept exists where x is 0...or in other words, where the line goes through the y-axis. Our line goes through the y-axis at a value of -1. So far we have y = mx - 1. Now we just need the slope.

By looking at the line, we can determine the slope by using a slope triangle. This slope is negative, first off, since it goes "downhill". From the y-intercept of -1, we have to move down 1 unit and then to the right 1 unit in order to get to the next place on the graph where the line goes through where the grids of our graph cross. Down 1 unit is -1, and over to the right is +1, so rise/run is -1/+1 which is -1. That means our slope is -1. Therefore, the equation in slope-intercept form is

y = -1x - 1 or just y = -x - 1.

You might be interested in

Say that you put the set of tiles shown below into a bag and conduct a series of trials in which you draw one tile randomly from

Karolina [17]

Answer:

letter. c

Step-by-step explanation:

8 0

3 years ago

2. Ariana has created a paper airplane for her physics class at school where all the students will be testing their planes by se

sergiy2304 [10]

Answer:

2. The airplane will crash into the ground after 5 seconds.

3. The domain of the function is [0,30] and range of the function is $[-\infty,900]$ .

Step-by-step explanation:

Ariana initial attempt is modeled by the function,

$h(x)=x^2-12x+35$

where, h is the height in feet and x is the time in seconds of the paper airplanes path.

If airplane crash into the ground, then $h(x)=0$ ,

$0=x^2-12x+35$

$0=x^2-7x-5x+35$

$0=x(x-7)-5(x-7)$

$0=(x-7)(x-5)$

Equate each factor equal to 0.

$x=5,7$

Therefore the airplane will crash into the ground after 5 seconds.

The height of the rocket in meters is modeled by the function shown below, where t is time in seconds.

$h(t)=-4t^2+120t$

The value of t must be positive because time can not be negative.

Find the zeros of the function.

$0=-4t(t-30)$

$t=0,30$

The leading coefficient is negative, so the it is a downward parabola. Since the zeros of the function are 0 and 30, therefore the function is negative before 0 and after 30.

The height can not be negative, so the domain of the function is

$0\leq t\leq 30$