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IgorLugansk [536]
2 years ago
15

What is the slope of the graph shown below?

Mathematics
1 answer:
Alecsey [184]2 years ago
8 0

The slope is 4/3x.

Since the y-intercept is (0,-3), you go up and see that the next point is (1,1).

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The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 13 x - x2. What
My name is Ann [436]

Answer:

The number of mosquitoes is maximum for 6.5 inches rainfall.

Step-by-step explanation:

The given function is

M(x)=13x-x^2                   .... (1)

where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.

We need to find the rainfall that produces the maximum number of mosquitoes.

Differential the above function with respect to x.

M'(x)=13-2x               .... (2)

Equate first derivative equal to 0.

13-2x=0

2x=13

x=\frac{13}{2}=6.5

Differential function (2) with respect to x.

M''(x)=-2

Double derivative is negative. So, the value of function is maximum at x=6.5.

Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.

4 0
3 years ago
Number 18 plz. I really need help
elixir [45]
The answer is 87. it was quite simple


7 0
3 years ago
How do you this question? Please explain.
Nuetrik [128]

Answer:

(C) 2√15

Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

... CB/CA = CT/CB

... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

_____

<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

3 0
3 years ago
(4,?) is on the line below.  Find the other half of the coordinate. y= 2 7 x−3 y=27x-3
valina [46]
If you meant   y = 27x - 3, OK.    Then, if x = 4, y = 27(4) - 3, or 108-3 = 105.
8 0
3 years ago
Please help me !! pls pls pls
frutty [35]

Answer:

aas congruence postulate

6 0
2 years ago
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