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Ivanshal [37]
3 years ago
11

Find the zeros of the function. f(x) = 2x2 – 2x – 12

Mathematics
2 answers:
kiruha [24]3 years ago
7 0
2(x^2-1x-6) = 0
2(x - 3)(x + 2)
x = 3, x = -2
Amiraneli [1.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

2x^2-2x-12

This has solutions of x=3 and x= -2

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The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe
nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

6 0
3 years ago
Read 2 more answers
T-6= -12<br> 8<br><br> I NEED HELP ASAP
ankoles [38]

Answer:

Step-by-step explanation:

t

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8 0
3 years ago
Why does these expressions 2(30x-24), 3(20x-16), and 4(15x-12) have the same expansion?
MariettaO [177]
The expressions have the same expansion I'd say because the pairs 2 and 30, 3 and 20, and 4 and 15 because they are all equivalent to 60 because they are all factors of 60.

Same goes with the other pairs, because they are all equivalent to 48 because they are all factors of 48.
6 0
2 years ago
Estimate the difference 8 7/12 - 4 7/8 - 4/10
Gnesinka [82]
When you are told to estimate, you should be able to do the problem in your head.
8 7/12 is close to 8 1/2
4 7/8 is very nearly 5
4/10 is very nearly 1/2

8 1/2 - 5 - 1/2 First of all you can take the 1/2 away from 8 1/2
8 1/2 - 1/2 = 8
Now take away the 5


8 - 5 = 3

So the answer is very nearly
3 <<<<< answer.

Just for fun, I'll get the exact answer. Don't hand this one  in. It is 3 37/120
You learn to estimate because you are trying to guess whether or not you've entered everything correctly into your calculator. When writing a test, this is a very handy skill to have developed.

4 0
3 years ago
WRITE THE NUMBER 1.075 in two other forms
Svetllana [295]
   1.one and seventy five thousandths this is word form                                                 2.(1 x 1) + (0/10) + (7/100) + (5/1000) this is expanded form
5 0
2 years ago
Read 2 more answers
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