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Anestetic [448]
3 years ago
9

A function f (x)=-8x^2. What is f (-3)?

Mathematics
2 answers:
Sveta_85 [38]3 years ago
8 0
F(x)= -8x²

f(-3)= -8* (-3)²

f(-3)= -8 * 9

f(-3)= -72
nadya68 [22]3 years ago
4 0
<span>f(x) = -8x²

To find the value of f(-3), put -3 in place of 'x' in the definition of the function.</span>

f(-3) = -8(-3)²

f(-3) = -8(9) = <em><u>-72</u></em>
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A new neighborhood activity complex is being built in erie. The perimeter of the rectangular playing field is 256 yards. The len
maw [93]

Answer:

The length of the rectangular playing field is 84 yards and the width is 44 yards

Step-by-step explanation:

Let

x ------> the length of the rectangular playing field

y -----> the width of the rectangular playing field

we know that

The perimeter of the rectangular playing field is equal to

P=2(x+y)

P=256\ yd

so

256=2(x+y) ------> equation A

we have that

x=2y-4 -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

256=2(2y-4+y)

128=3y-4

3y=128+4

3y=132

y=44

Find the value of x

x=2(44)-4=84

therefore

The length of the rectangular playing field is 84 yards and the width is 44 yards

4 0
3 years ago
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hodyreva [135]
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8 0
3 years ago
Tyler is 5 years younger than three times his cousin Lejla's age. Tyler is 40 years old.
Brut [27]

Answer:

I times 3-5

Step-by-step explanation:

   

Their are other ways to do it

Sorry if it is not the answer you were looking for.

3 0
3 years ago
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A charity is selling raffle tickets at $5 apiece. Out of the 100 tickets sold, ten third-place winners will be drawn, each winni
Vsevolod [243]
The answer is <span>No, because one ticket’s expected value is worth $0.50 more than the face value. </span>
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3 years ago
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Alice and her friend Emma leave on different flights from the same airport. Alice's flight flies 100 miles due south, then turns
DaniilM [7]

9514 1404 393

Answer:

  Emma's flight is farther from the airport

Step-by-step explanation:

Even without doing any detailed calculation, you can see on a graph that the larger turn Alice's flight makes keeps it closer to the airport.

Emma's flight is farther from the airport.

__

The distance can be calculated using the Law of Cosines. The angle of interest is the supplement of the turn angle. Since the leg distances are the same in each case, the only variable affecting the distance from the airport is the angle measure. Again, the larger the turn, the shorter the distance from the airport. If T is the turn angle, the distance is ...

  d² = 100² +50² -2·100·50·cos(180° -T)

  d² = 12500 +10000·cos(T) . . . . . . . using cos(180°-T) = -cos(T)

  d = 100√(1.25+cos(T))

For Alice's 70° turn, the distance is ...

  d = 100√(1.25+0.342) ≈ 126.18 mi

For Emma's 50° turn, the distance is ...

  d = 100√(1.25 +0.643) ≈ 137.58 mi

Emma's flight is farther from the airport.

_____

The law of cosines formula is ...

  c² = a² +b² -2ab·cos(C)

where triangle sides are lengths a, b, c and angle C is opposite side c.

3 0
3 years ago
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