Write in vertex form:

y = x2 - 8x + 19

Answers

Answer 1
Answer: y=x^2-8x+19\ny=x^2-8x+16+3\ny=(x-4)^2+3

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Find the product.

a^4(3a ^2 - 2a + 1)

Answers


                   a⁴(3a² - 2a + 1)

We just have to multiply each term inside the parentheses by  a⁴  .

           a⁴
(3a²        )  =  3a⁶
 
           a⁴
(    - 2a    )  =  -2a⁵
 
           a⁴
(            1)  =  a⁴

Now, just addum up :      3a⁶ - 2a⁵ + a⁴



Answer:

3A^6-2a^5+a^4

Step-by-step explanation:

Mealworms are a healthy food for wild song birds. Adam buys a 3 oz container of mealworms for $7.35. Marco buys a 5 oz container for $13.50. Which container is the better deal? (Compare the unit rates or cost per 1 oz)

Answers

Answer: 5 oz

Step-by-step explanation:

you get more and for the price of 7.35 it’s not worth only getting three oz

Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 12 h using both hoses. They also know that Bob's hose, used alone, takes 20% less time than Jim's hose alone. How much time is required to fill the pool by each hose alone?

Answers

Final answer:

Jim's hose takes 15 hours while Bob's hose takes 12 hours to fill the pool when used individually.

Explanation:

This is a mathematical problem that can be solved using the concept of rates.

Let x be the time taken by Jim's hose to fill the pool alone. Since Bob's hose is 20% faster, it takes 0.8x hours to fill the pool alone. We know that work done is inversely proportional to the time taken, we set up the equation 1/x + 1/0.8x = 1/12 (since together they fill the pool in 12 hours).

On solving this equation, we get x= 15 hours (Jim's hose) and 0.8x = 12 hours (Bob's hose).

Learn more about Proportional Rates here:

brainly.com/question/31704267

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TELEPHONE WIRES Isaiah works for a telephone company. He rewired some telephone wires on a pole. How can Isaiah use perpendicular distances to confirm that the wires are parallel?Isaiah can measure (Select Choice) distance between the wires in two different places. If the distances are (Select Choice), then the wires are parallel.

Answers