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aliina [53]
1 year ago
7

Write the polynomial in standard form. ( look at photo )

Mathematics
1 answer:
svetoff [14.1K]1 year ago
7 0

Answer:

b^{2} -2b+5

Step-by-step explanation:

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a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-
Natalka [10]

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

5 0
3 years ago
Solve x = 0.6x + 384
Gelneren [198K]
X = 0.6x + 384        |subtract 0.6x from both sides

0.4x = 384    |divide both sides by 0.4

x = 960
8 0
3 years ago
Read 2 more answers
The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greate
spin [16.1K]
A+b > 30

b-a > 10

hope it helps :)
5 0
3 years ago
Read 2 more answers
5
Daniel [21]

Answer:

a,c,d

Step-by-step explanation:

8 0
2 years ago
I need help with this math problem please
Yanka [14]

Answer:

x=12

Step-by-step explanation:

90 = x + 42 + 3x

48 = x + 3x

48 = 4x

12 = x

7 0
3 years ago
Read 2 more answers
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