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4 years ago

1

Mathematics

2 answers:

NeTakaya4 years ago

6 0

Answer:

It's option A. Just got it right on edge 2020

Step-by-step explanation:

ANTONII [103]4 years ago

5 0

Answer:

Step-by-step explanation:

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the graph below plots a function f x if x represents time the average rate of change of the function f x in the first three seco

Vinvika [58]

Answer:

-50

Step-by-step explanation:

rate of change = slope so you were asked for the slope between the point in which x = 0 (0,150) and the point in which x=3 (3,0)

Here is how you calculate it:

https://simplisico.com/share/q/ZAHw5oFz9yYoOV0BmMRwQI9U

4 0

3 years ago

A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

3 years ago

Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)

Stella [2.4K]

Answer:

(3,-3)

Explanation:

create an equation set equal to zero:

3×(1,-1)=0

distributive property:

3×1= 3 ; 3× -1= -3

(3,-3)=0

3 0

3 years ago

Read 2 more answers

What is five million, one hundred fifteen written in standard form?

Kamila [148]

5,000,115

Hope this helps:)

7 0

3 years ago

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The foal has a mass of 100kg and is moving at 8m/s along the beach what is the kinetic energy (KE) of the foal

AleksAgata [21]

<h2>>> Answer </h2>

__________

Ek = ½mv²

Ek = ½•100•8²

Ek = ½•100•64

Ek = ½•6,400

Ek = 3,200j

5 0

3 years ago