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Fudgin [204]
4 years ago
7

HELP!79pts

Mathematics
1 answer:
Ymorist [56]4 years ago
4 0
If the exponent, n, is a 2, then there will be 2 solutions.  Always.  The number of solutions to a polynomial is equal to the highest degree in the polynomial.  So if n is 2, then and only then will you have 2 solutions.
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During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet
Leno4ka [110]

Answer:

25t+19\leq 144

t\leq5

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = 19+25t

Now, as per question, the total depth should not be more than 144 feet. So,

\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144

Solving the above inequality for time 't', we get:

25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

7 0
3 years ago
Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9
Juli2301 [7.4K]

Answer:

The average rate of change of the function over the interval is of 6.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function h(x) over an interval [a,b] is given by:

A = \frac{h(b)-h(a)}{b-a}

In this question:

Over the interval [-9,-2], so a = -9, b = -2, b - a = -2 -(-9) = 7

The function is:

h(x) = -x^2 - 5x + 14

h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22

h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20

Then

A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6

The average rate of change of the function over the interval is of 6.

8 0
3 years ago
Plz Help !!!
Morgarella [4.7K]

Answer:

3962.96 is the radius

Step-by-step explanation:

r=C

2π=24900

2·π≈3962.95808

Hope this helps. I'm really sorry. We all struggling out here. We can do it!!

5 0
2 years ago
Help please I need help fr fr
Digiron [165]

Answer:

See explanation!

Step-by-step explanation:

A = Reflection

B= Rotation

C= Translation

D= Dilation

8 0
3 years ago
Clara has a lawn in front of her house as mapped on the coordinate plane. She wants to plant a bed of flowers between the points
postnew [5]

Answer:

Step-by-step explanation:

we have to know what the numbers are

8 0
3 years ago
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