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2 years ago

12

Write an equation of the parabola in vertex form with the coordinates (-2,6) and (-1,3)

1 answer:

Sergio [31]2 years ago

4 0

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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

Solve x2 - x - 5/2 = 0 using the quadratic formula.

stich3 [128]

Answer:

x= 1± $\sqrt{11}$ over 2

6 0

3 years ago

Please answer correctly! I will mark you as Brainleist!

timofeeve [1]

Answer:

1047.2 cubic inches

Step-by-step explanation:

V = 4(pi)(r³/3)

V = 4(pi)(125/3)

V = 523.6 cubic inches (1 ball)

V = 2(523.6) = 1047.2 cubic inches (total)

6 0

2 years ago

How do you solve this?

Katarina [22]

So hmm notice the first picture, that's the "inscribed angle theorem", as you'd know

now, notice angle 2 in yours on the second picture

8 0

2 years ago

What is the ratio of 40cm and 18mm

snow_tiger [21]

40 cm = 400 mm, so 400 mm / 18 mm = 200:9, or 22.22:1.

5 0

2 years ago