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Anna [14]
3 years ago
13

Re-write the quadratic function below in Standard Form2y = -(x – 4)2 + 8​

Mathematics
1 answer:
svetlana [45]3 years ago
8 0

Answer:

y=-x+8

Step-by-step explanation:

First distribute the negative

2y=(-x+4)2+8

then you would multiply the (-x+4) by the two

2y=-2x+8+8

then you would combined like terms

2y=-2x+16

then you would divide both sides by 2

y=-x+8

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The volume of a 36 in 3 . Find the height of the cylinder (in inches) if radius is 3 in.
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3 0
3 years ago
A city council consists of seven Democrats and five Republicans. If a committee of four people is selected, find the probability
Hoochie [10]

Answer:

The probability  of selecting two Democrats and two Republicans is 0.4242.

Step-by-step explanation:

The information provided is as follows:

  • A city council consists of seven Democrats and five Republicans.
  • A committee of four people is selected.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\times (n-k)!}

Compute the number of ways to select four people as follows:

{12\choose 4}=\frac{12!}{4!\times (12-4)!}=495

Compute the number of ways to selected two Democrats as follows:

{7\choose 2}=\frac{7!}{2!\times (7-2)!}=21

Compute the number of ways to selected two Republicans as follows:

{5\choose 2}=\frac{5!}{2!\times (5-2)!}=10

Then the probability  of selecting two Democrats and two Republicans as follows:

P(\text{2 Democrats and 2 Republicans})=\frac{21\times 10}{495}=0.4242

Thus, the probability  of selecting two Democrats and two Republicans is 0.4242.

6 0
2 years ago
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