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3 years ago

A parabola has the equation –5x2 + 30x – y – 34 = 0. Which equation is that of the parabola in vertex form?

1 answer:

6 0

We can complete the square to get a standard form quadratic into vertex form. First, add Y and 34 to the right side of the equation. You’ll get -5x^2 + 30x = y + 34.
Next, you need to factor out a -5 from the left side, so you’ll get -5(x^2 -6x) = y + 34. Then, complete the square on the left. You’ll get -5(x-3)^2 = y - 11. Finally, add 11. The answer is y = -5(x-3)^2 + 11

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4. Four friends went on a trip to Mexico. They rented a car for eight days which cost

nlexa [21]

Explanation:

So, I know a lot of people won't do it this way, but this is how I would do it.

First, multiply each expense by eight (eight for the eight days)

$55 x 8 = 440

$25 x 8 = 200

$129 x 8 = 1032

Next, take the three answers and add them together:

440 + 200 + 1032 = 1672

Lastly, divide 1672 by four (four for the four friends)

1672/4 = 418

There you go! Here is your answer. Each friend paid $418

Hope I helped! :D

3 0

3 years ago

Scott walks to and from school each day. Each round trip is 3 kilometers long.

natka813 [3]

The equation that shows the relationship between the number of round trips, x and the number of kilometers, y Scott walked is y = 3x

Each round trip = 3 km

x = number of rounds

y = number of km he has walked in all.

1 rounds = 3 km

Therefore,

x rounds = 3x km

Each round of trip covers 3km. This means for each round of trip a distance of 3km is covered. The total distance or number of kilometers is represented with y.

The equation to show the relationship between x(number of rounds) and y (number of km) can be represented below

y = 3x

8 0

2 years ago

The Mayors of two small towns that adjoin a large community have engaged in an argument on which of their cities is safer, with

Lelu [443]

Answer:

1. City A: 150 violent crimes per 100,000 residents.

City B: 161 violent crimes per 100,000 residents.

2. City A

Step-by-step explanation:

City A:

Population = 123,000

Violent crimes = 185

Violent crimes per 100,000 people:

$V_{100k} = \frac{185*100,000}{123,000} \\V_{100k} = 150$

City B:

Population = 84,000

Violent crimes = 135

Violent crimes per 100,000 people:

$V_{100k} = \frac{135*100,000}{84,000} \\V_{100k} = 161$

1. City A: 150 violent crimes per 100,000 residents.

City B: 161 violent crimes per 100,000 residents.

2. Even though it has a bigger number of crimes, City A has the lowest crime rate since its population is larger.

5 0

3 years ago

In the scale used on a blueprint, 34

nydimaria [60]

Answer:

Step-by-step explanation:

123£

5 0

3 years ago

Select all the expression that have value of 25 a.500divided by 6 b. 600 divided by 3 c.100divided by 4 d.150 divided by 5 e.200

goldfiish [28.3K]

The answer is C. and E.
--
Work shown below:
A. 500 divided by 6 equals 83.33.
B. 600 divided by 3 equals 200.
C. 100 divided by 4 equals 25. (CORRECT)
D. 150 divided by 5 equals 30.
E. 200 divided by 8 equals 25. (CORRECT)
--
Hope this could help you.

7 0

3 years ago