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Zepler [3.9K]
3 years ago
8

An object is launched from a platform. It's height is meters is modeled by: h(x)= -5(x+1)(x-9) where x represents the time in sc

hools after the launch. How many seconds after launch will the object hit the ground
Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

Answer: 9 seconds

Step-by-step explanation:

When the object hit the ground,

Height h = 0

Therefore,

h(x)= -5(x+1)(x-9) = 0

0 = -5(x+1)(x-9)

Open the bracket

0 = (-5x - 5)( x - 9)

0 = -5x^2 + 45x - 5x + 45

0 = -5x^2 + 40x + 45

Divide all by -5

0 = x^2 - 8x - 9

Factorizing the equation gives

(x + 1)(x- 9)

x = -1 or 9

Since Time can't be negative

Therefore, the time seconds after launch the object will hit the ground is 9 seconds

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Negation of all owls fly?
Reptile [31]
Looking at this in terms of sets, let's call O the set of all owls, and F the set of all things that can fly. What this original statement is saying every animal that's a member of the set of all owls is also a member of the set of all things that can fly, or in other words, O⊂F (O is a subset of F). Negating this tells us that, while there's <em>at least one</em> element of O that also belongs to F, O is not contained entirely in F (O⊆F, in notation), so a good negation or our original statement might be:

<em>Not all owls can fly.</em>
8 0
3 years ago
Read 2 more answers
Point K is on line segment JL. Given JK = 2x – 2, KL
Scorpion4ik [409]

Answer:

KL = 10

Step-by-step explanation:

JK + KL = JL

2x – 2 + x – 9 =  2x + 8

Combine like terms

3x -11 = 2x+8

Subtract 2x from each side

3x-2x -11 = 2x+8-2x

x-11 = 8

Add 11 to each side

x-11+11 = 8+11

x = 19

KL = x – 9

     = 19-9

     = 10

8 0
3 years ago
The video club to which Lin belongs allows her to receive one free DVD for every three DVDS she rents. If she pays $3 for each D
Nesterboy [21]

Answer:

12

Step-by-step explanation:

Given:

On every 3 DVDs she rents, 1 DVD is received for free

Rent of each DVD = $3

Total amount paid = $114

Now,

The total number of DVDs she took on rent = \frac{\textup{Total amount paid}}{\textup{Rent of each DVD}}

or

The total number of DVDs she took on rent = \frac{\textup{114}}{\textup{3}}

or

The total number of DVDs she took on rent = 38

also,

For every 3 DVDs she gets 1 Free DVD

thus,

For every 1 DVD she gets \frac{\textup{1}}{\textup{3}} free DVD

therefore,

For  38 DVD she gets \frac{\textup{38}}{\textup{3}} free DVD

or

she gets 12.67 DVDs free

Since,

the DVDs cannot be given in fraction

Hence she will get 12 free DVDs

5 0
4 years ago
Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain
horrorfan [7]

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a fisher at Clearwater Park had a fishing license

<em>Y</em> = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

        = 48 + 32

        = 80

N (Y) = n (Y) + n (Y')

        = 72 + 18

        = 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

P(X'\cap Y)=P(X')\times P(Y)

                 =\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

7 0
4 years ago
Can anyone help me with this question?
MatroZZZ [7]

9514 1404 393

Answer:

  E.  37

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary:

  (4x -2)° +34° = 180°

  4x = 148 . . . . . . . . . . . divide by °, subtract 32

  x = 37 . . . . . . . . . . . . . divide by 4

8 0
3 years ago
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