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2 years ago

Determining Key Aspects of a Quadratic Function

Mathematics

1 answer:

Blizzard [7]2 years ago

5 0

Answer:

Step-by-step explanation:

The vertex can be located most easily by completing the square of

f(x) = -X^2 - 2x - 1 (which is equivalent to -(x^2 + 2x + 1). The latter expression can be rewritten as -(x + 1)^2, which indicates that the x-coordinate of the vertex is -1. The corresponding y-value is 0. Vertex is at (-1, 0).

The function is increasing for x < -1 and decreasing for x > -1.

The domain of the function is "all real numbers."

The range is (-infinity, 0)

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According to his car odometer,Alfonso drove a total of 10 kilometers from his house to the movie theater and back again approxim

Brums [2.3K]

Answer:

It is approximately 3.10 miles from Alfonso's house to the movie theater

Step-by-step explanation:

First, identify what you know:

1) Alfonso drove from his house TO the movie theater, and then BACK to his house.

2) Alfonso's odometer shows him that the ENTIRE trip was 10 miles.

If the entire trip was 10 miles, and he only went to the move theater, AND took the same route back, then we simply divide 10 in half! This will give us the distance from his house the the movie theater, or rather, half of the trip, in kilometers.

10/2 = 5 kilometers.

Now, what is 5 kilometers in miles? Well, one mile is equal to 1.60934 kilometers, and one kilometer is equal to 0.621371 miles. So, simply multiply!

5 km x 0.621371 miles = 3.106855

The approximate distance from his house to the theater is 3.10 miles!

Hope this helps! :)

3 0

3 years ago

What is the slope of the line that passes through the points (8,2) and (10,2)? Write your answer in the simplest form.

Oxana [17]

slope of line=(y2-y1)/(x2-x1)

give is

(x1,y1)=(8,2)

(x2,y2)=(10,2)

therefore slope =(2-2)/(10-8)=0/2=0

Hence

answer

Slope of line=0

3 0

1 year ago

What is the solution to this system?

Elza [17]

Answer:

Equation Form: x=−2,y=−2

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

3/2x+1=−x−4

Solve 3/2x+1=−x−4

for x. x=−2

Evaluate y when x=−2.

y=−2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−2,−2)

The result can be shown in multiple forms.

Point Form:

(−2,−2)

Equation Form:

x=−2,y=−2

7 0

2 years ago

(-x2y3)*(12xy3)<br>(-2xy2)3

Leokris [45]

Assuming the numbers are exponents expect the coefficient of 2, top expression, -12x^3y^6, multiply bottom
and= 72x^4y^8

4 0

2 years ago

If we have 2 bags containing marbles. bag a has 7 green and 6 black marbles. bag b has 8 yellow and 4 red marbles. if we pick ra

Elena L [17]

A. (7/13)·(1/3)=7/39. P=7/39
B. (6/13)·(2/3)=12/39. P=12/39
C. (7/13)·(2/3)=14/39. P=14/39
D. (6/13)·(1/3)=6/39. P=6/39

All the numbers from Bag B were written as thirds cause their probabilities could be simplified to make multiplying easier

8 0

3 years ago