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klasskru [66]
3 years ago
9

A volleyball player sets the ball in the air, and the height of the ball after t seconds is given in feet by h= -16^2+12t+6. A t

eammate wants to wait until the ball is 8 feet in the air before she spikes it. When should the teammate spike the ball? How many reasonable solutions to this problem are there?
Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

h=-16²+12t+6

8=-256+12t+6

256-6+8=12t

-258=12t

t=-258/12

t=21.5

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Which equation best describes the line shown on the graph?
maksim [4K]

Answer:

x = -2

Step-by-step explanation:

4 0
2 years ago
Can someone show me how to even start with 1 and 2? ​
diamong [38]

All you need to know is that

\displaystyle \lim_{x\to\infty}a^x=\begin{cases} \infty \text{ if } a>1\\1 \text{ if } a=1\\0 \text{ if } 0\leq a

So, the first function grows exponentially and the second decays exponentially. The rate of growth/decay are the bases of the exponentials, which means 1.08 and 0.205

6 0
2 years ago
If f(x)=4x+3 and g(x)=x^2-3 then f(g(2))
grandymaker [24]

Answer:

<em>f(g(2))=7</em>

Step-by-step explanation:

<u>The Composite Function</u>

Given f(x) and g(x) as real functions, the composite function (f\circ g)(x) is defined as:

(f\circ g)(x)=f(g(x))

It can be found by substituting g into f.

The given functions are:

f(x)=4x+3

g(x)=x^2-3

It's required to find f( g( 2 ) )

Find g(2):

g(2)=2^2-3

Operating:

g(2)=4-3 =1

g(2)=1

Now find f(1):

f(1)=4(1)+3

f(1)=4+3 =7

Thus:

f( g( 2 ) )=7

4 0
3 years ago
The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1). Find the coordinates of the image after a dilation with respect
Dmitry_Shevchenko [17]

The coordinates of the image after a dilation with respect to the origin is A'' (2,10), B" (0,4), C" (4,2) .

<h3>How does dilation work?</h3>

Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.

Its also called scaling of a figure, but due to the involvement of coordinates, it involves a center of a dilation, which is like a pinned point that stays at the same place after dilation.

Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).

The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1).

A' = 2(2.5) = (4,10)

B' = 2(1,2) = (2,4)

C' = 2(3,1) = (6,2)

Translation of 2 units left means change in x

A'' = (4-2,10) = (2,10)

B" = (2-2,4) = (0,4)

C" = (6-2,2) = (4,2)

Translation of 1 units up means change in y

Learn more about vertices ;

brainly.com/question/27886655

#SPJ1

7 0
2 years ago
At 2:00 pm there are 350 freshmen and 200 sophomores at a school carnival. After 2:00 pm 20 freshman leave every hour and 35 sop
dmitriy555 [2]

Answer:

160:340

Step-by-step explanation:

The hours between 2:00pm and 4:00pm is 2 hours. If originally 350 freshman and 200 sophomores are at the carnival, and 20 freshman leave every hour, we can determine how many freshman left in 2 hours:

=20\cdot{2}=40

and if 35 sophomores arrive every half our, we know that for every two hours there is 4 half hours, therefore:

=35\cdot{4}=140

The amount of freshman at 4:00pm:

200-40=160

and the amount of sophomores:

200+140=340

the ratio is 160:340

5 0
3 years ago
Read 2 more answers
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