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SOVA2 [1]
3 years ago
10

Finish the steps below to write a quadratic function for the parabola shown. Use the vertex form, f(x) = a(x – h)2 + k, and subs

titute in the values for h and k. f(x) = a(x – 5)2 + 3 Use another point and substitute in values for x and f(x). Solve for a. 5 = a(6 – 5)2 + 3 Write the function, using the values for h, k, and a. The function is f(x) = (x – )2 + .
Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0
We have

f(x) = a(x – h)²<span> + k
 we know the vertex v(5,3)
</span><span>substitute in the values for h and k
</span>f(x) = a(x – 5)²<span> + 3 
</span><span>Use another point and substitute in values for x and f(x). 
for the point (6,5)
</span><span>Solve for a.
5 = a(6 – 5)2 + 3-------------- > 5=a+3-------------> a=2
</span>
The function is f(x)=a(x – h)2 + k-------- > 2(x – 5)² + 3
f(x)= 2(x – 5)² + 3-------- > 2[x²-10x+25]+3=2x²-20x+50+3=2x²-20x+53
f(x)=2x²-20x+53
<span>
the answer is f(x)=</span> 2(x – 5)² + 3----------------- > (f(x)=2x²-20x+53)<span>

</span>
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A plant manager knows that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a stan
Archy [21]

Answer:

46.72%.

Step-by-step explanation:

We have been given that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a standard deviation of 20. We are asked to find the number of boxes of supplies that arrive will be greater than 210 or less than 180.  

We will use z-score formula and normal distribution table to solve our problem.

z=\frac{x-\mu}{\sigma}

z=\frac{180-200}{20}

z=\frac{-20}{20}

z=-1

Let us find z-score corresponding to normal score 210.

z=\frac{210-200}{20}

z=\frac{10}{20}

z=0.5

P(z0.5)=P(z

Using normal distribution table, we will get:

P(z0.5)=0.15866+1-0.69146

P(z0.5)=0.4672

0.4672\times 100\%=46.72\%

Therefore, 46.72% of the time the number of boxes of supplies that arrive will be greater than 210 or less than 180.

8 0
3 years ago
Which of these procedures is the same as multiplying a whole number by 100? (A) Multiply the whole number by 2, ten times. (B) M
Zigmanuir [339]

Answer:

C) Move each digit of the whole number to the left and fill in the blank places with zeros

Step-by-step explanation:

When we multiply a number by 10, we add a zero to the right of the whole number.

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When we multiply a number by 100, we add 2 zeros to the right of the whole number

2 * 100 = 200

However many zero's there are after the 1, when we multiply , we move the whole number by that many places and fill them with zeros.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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