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Murrr4er [49]
3 years ago
10

Enter the equation of the parabola in vertex form that has its vertex at (4,–13) and passes through the point (6,–5).

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

If you plot the vertex and the point that it goes through, the point it goes through is above the vertex, so the vertex is a positive one that opens upwards.  The general vertex form of a parabola of this type is

y=a(x-h)^2+k

We have the x, y, h, and k.  We will plug all those in and solve for a.  That looks like this:

-5=a(6-4)^2-13 which simplifies to

-5 = 4a - 13 and

8 = 4a so

a = 2

That means that the paraobola in vertex form is

y=2(x-4)^2-13

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The distribution of total body protein in healthy adult men is approximately Normal with mean 12.3 kg and standard deviation 0.1
Gelneren [198K]

Answer: a. 0.9876

Step-by-step explanation:

Given : The distribution of total body protein in healthy adult men is approximately Normal with mean 12.3 kg and standard deviation 0.1 kg.

\mu=12.3 and \sigma=0.1

sample size : n= 25

Let x denotes the  total body protein in healthy adult men in the sample.

Then, the probability that their average total body protein is between 12.25 and 12.35 kg will be :-

P(12.25

∴ The correct answer is a. 0.9876

4 0
3 years ago
In △ABC, m∠A=52°, c=11, and m∠B=19°. Find a to the nearest tenth.
Ugo [173]

From the problem we have

In △ABC, m∠A=52°, c=11, and m∠B=19°.

Draw the diagram with the help of given information, (see the attached image)

Now using Sine Law in the Triangle ABC, we can write

Now from Triangle ABC , we can write

\frac{a}{sin52}=\frac{11}{sin109}  \\

Now simplify , we get

\Rightarrow a=\frac{11}{sin109}*sin52\\ \\  \Rightarrow a=\frac{11}{0.9455}*0.7880\\ \\ \Rightarrow a=9.1676 \approx 9.2\\

8 0
3 years ago
The PTA Created a cross-country trail for the meet. The PTA placed a trail marker in the ground every four hundred yards the PTA
Zinaida [17]

9514 1404 393

Answer:

  14.4 or 15 bags

Step-by-step explanation:

The number of yards covered by x bags is ...

  (3 1/2)x = 50 1/4

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We assume that bags of chips are available only in integer quantities.

The PTA will need 15 bags of wood chips to cover the wet section.

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* The exact answer is 14 5/14. We hope that an integer number is the desired solution, as anything more precise than that seems inappropriate in this context.

3 0
3 years ago
Solve for x: -4(x + 10) - 6 = -3(x - 2
evablogger [386]
-4(x+10)-6=-3(x-2)
-4x-40-6=-3x+6
-4x-46=-3x+6
-4x-46+46=-3x+6+46
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-4x+3x=-3x+3x+52
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6 0
3 years ago
Read 2 more answers
Calculate the average rate of change for the given graph from x = 3 to x = 5 and select the correct answer below. parabolic func
storchak [24]

Answer:

0

Step-by-step explanation:

The question lacks the graph to be able to solve it, I was doing a little research and I could find the graph which I will attach:

Already with the figure we can solve the question.

We have that the average exchange rate in this case would only take the normal slope between those 2 lines

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m = (y2-y1) / (x2 - x1)

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y2 = 0

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we replace:

m = (0-0) / (5 - 3)

m = 0

Therefore the average rate is 0.

5 0
3 years ago
Read 2 more answers
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