Mathematics, 10.07.2019 17:30 kaylee2828

Aball is thrown in the air from a ledge. its height in feet is represented by f16(2-5x - 6), where x is the number of seconds since the ball has been thrown. the height of the ball is 0 feet when it hits the ground. how many şeconds does it take the ball to reach the ground?

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Answer from: coolcatbergmann

Height in feet is represented by f(x) = -16(x^2-5x-6)

The height of the ball is 0 feet when it hits the ground.

So we replace height f(x) by 0 and solve for x to find the time taken to reach the ground

f(x) = -16(x^2-5x-6)

0= -16(x^2-5x-6) ( divide by -16 on both sides)

0=(x^2-5x-6)

Now factor it

(x-6)(x+1) =0

x-6 =0 and x+1=0

x=6 and x=-1

Time cannot be negative so we ignore -1

x = 6 seconds

It will take 6 seconds for the ball to reach the ground.

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

i believe it is 0.1m because the measurement of 30.4m limits how precise you can be

you can only be as precise as the least precise measurement

What is the level of precision for the solution to the addition problem below? 6.339 m 0.170 m + 30

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Aball is thrown in the air from a ledge. its height in feet is represented by f16(2-5x - 6), where x...

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