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3 years ago

Determining Key Aspects of a Quadratic Function

Mathematics

1 answer:

Blizzard [7]3 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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Which matrix equation represents this linear system?<br> <img src="https://tex.z-dn.net/?f=2x-7y%3D-1%5C%5Cx%2B3y%3D-5" id="TexF

Nikolay [14]

Answer:

The answer is the letter B.

The first column represents the x-values, and the second row represents the y-values.

For that reason, if we have:

2x - 7y = -1

x + 3y = -5

Then, the matrix will be given by:

[ 2 -7

1 3]

Then, the third colum will be the equality:

[ -1

-5]

So the correct option is the letter B.

3 0

3 years ago

Read 2 more answers

The measures of two supplementary angles total 180 degrees. The measure of angle y is 65 degrees less than the measure of angle

iVinArrow [24]

The measures of the angles are given to be x and y. Since y is 65 degrees less than the measure of angle x then, it can also be expressed as x - 65. The sum of the angles x and y should be 180 degrees as they are supplementary angles,
x + y = 180
x + (x - 65) = 180
The value of x is 122.5 and that of y is 57.5. Therefore, the measures of the angles are 122.5 and 57.5.

3 0

3 years ago

if rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180 degrees, where would point A lie.

cupoosta [38]

Answer: Point A would be at (1,-1)

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3 years ago

A car has a gasoline

Delvig [45]

Answer:

Yes, look at the explanation:

Step-by-step explanation:

Calculate how many miles a car can drive with 1 gallon: 285 miles ÷ 10 = 28.5 miles with one gallon
Divide 500 by 28.5 to calculate how many gallons are needed: 500 ÷ 28.5 ≈ 17.543 - Therefore yes, it is possible because the car uses about 17.543 gallons of gasoline for 500 miles.

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3 years ago

The resting heart rate of an adult is usually about 60 beats per minute. Use your completed table to find approximately how many

Dvinal [7]

60x=1,000,000
----- ---------------
60 60
X=16,666 2/3 or
X=16,666.6667 it would take approximately 16,667 minutes for the average resting heart to beat 1,000,000 times.

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3 years ago