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4 years ago

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The height h, in feet, of an acorn that falls from the a branch 80 feet above the ground depends on the time t, in seconds, sinc

e it has fallen. This represented by the rule h=80-16t^2

1 answer:

Vikki [24]4 years ago

8 0

Answer: We know that the acorn falls from the height of 25 feet above the ground, it means the initial time when it falls is t = 0. The time when it lands on the ground is t = 1.25

Step-by-step explanation: never mind

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boyakko [2]

Answer:

1) The value of c is given by

$c=4$

2) The value of k is given by

$k=-4150$

Step-by-step explanation:

Given that function g is defined by $g(x)=cx-3$ , where c is a constant.

To find c:

Also given that value of g(x) at x=0.5 is equal to -1

ie., $g(0.5)=-1$

At x=0.5

$g(0.5)=c(0.5)-3=-1$

$(0.5)c-3=-1$

$(0.5)c=-1+3$

$(0.5)c=2$

$c=\frac{2}{0.5}$

$c=\frac{2}{\tfrac{1}{2}}=2\times \frac{2}{1}$

Therefore $c=4$

2) Given that function h is defined by $h(x)=\frac{20x-k}{x+50}$ , where k is a constant.

To find k:

Also given that value of h(x) at x=20 is equal to 65

ie., $h(20)=65$

At x=20

$h(20)=\frac{20(20)-k}{20+50}=65$

$400-k=65(70)$

$-k=4550-400$

$-k=4150$

Therefore $k=-4150$

6 0

3 years ago

ludmilkaskok [199]

Answer: Yes

Step-by-step explanation:

Each value of y maps onto one value of x.

3 0

2 years ago

EastWind [94]

Answer:

x=4.5

Step-by-step explanation:

so when y=20 and x=2, y is 10 times x so, <u>45/10=4.5</u>

7 0

3 years ago

Read 2 more answers

A town of 8000 grows 3% yearly how long will it take to reach 16300

Tems11 [23]

Answer:

around 67 years

Step-by-step explanation:

hope this helps :)

8 0

3 years ago

Read 2 more answers

What is the equation of the line described below written in slope-intercept form? The line passing through point (0,0) and paral

artcher [175]

Answer:

$y = - \frac{ 3}{2} x$

Step-by-step explanation:

<u>slope-intercept form</u>

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

Let's rewrite the given equation into the slope-intercept form so we can find out its gradient.

3x +2y -6= 0

2y= -3x +6

<em>Dividing</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>

$y = - \frac{3}{2} x + 3$

Thus gradient of given line= $- \frac{3}{2}$

Parallel lines have the same gradient.

Thus gradient of line= $- \frac{3}{2}$

Subst. m= $- \frac{3}{2}$ into the equation:

$y = - \frac{3}{2}x + c$

To find c, substitute a pair of coordinates.

When x=0, y=0,

$0 = - \frac{3}{2} (0) + c \\ c = 0$

Thus, the equation of the line is $y = - \frac{3}{2} x$ .

5 0

3 years ago