1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hitman42 [59]
3 years ago
15

What is the minimum value for g(x)=x^2-10x+16? Enter your answer in the box.

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

Answer:

- 9

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract (half the coefficient of the x- term)² to x² - 10x

g(x) = x² - 10x + (- 5)² - (- 5)² + 16

      = x² - 10x + 25 - 25 + 16

     = (x - 5)² - 9 ← in vertex form

vertex = (5, - 9), hence

minimum value = - 9

You might be interested in
Fill in the bubble completely to show your answer.
adell [148]

Answers :D18

Step-by-step explanation:

Because I did the marh

4 0
2 years ago
Given a right triangle with a hypotenuse of 15 feet and a height of 6 feet, find the measurement of angle
Artist 52 [7]

Answer:

66.42° between height and hypotenuse

23.58° between base and hypotenuse

Step-by-step explanation:

Using the concept of cosine and sine, we know that cosine of an angle is equal to the adjacent divided by hypotenuse.

Similarly, sine of an angle is given by opposite divided by hypotenuse

Tangent is given by opposite divided by adjacent

In rhis case, we use cosine

\theta=cos^{-1}(\frac {6}{15})=66.4218215217982\\\theta\approx 66.42^{\circ}

Therefore, the angle between the hypotenuse and height is 66.42°

To find the angle between base and hypotenuse, since it is a right angle triangle then the other angle will be 90-66.42=23.58°

8 0
3 years ago
What is bigger 1/5 or -4
kaheart [24]

Answer:

1/5

Step-by-step explanation:

The best way to think about this is on a number line. -4 would be on the left of 0 meaning it is less than 0 and \frac{1}{5} is on the right side of 0 but it is less than 1.

8 0
3 years ago
Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4
djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4}

if \lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b then y = b is horizontal asymptote

Then:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0
3 years ago
Read 2 more answers
Find the slope of the line
Alinara [238K]

Answer:

y=-2x+2

Step-by-step explanation:

The y-intercept is 2 and the growth is -2.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Convert the units of weight.
    12·2 answers
  • The youth group is going on a trip to the state fair. The trip costs $63. Included in that price is $13 for a concert ticket and
    10·1 answer
  • Describe how to approximate the value of an irrational number
    9·1 answer
  • What is 8.05 x 10/-5 in standard notation
    13·2 answers
  • Find the value of x in the figure
    9·2 answers
  • For a giveaway, a local radio station is putting together goodies bags. the bags will include tickets and posters. each bag will
    5·2 answers
  • Plz help me answer this question I'm having a. Lot of trouble
    13·1 answer
  • Please help with #3a-f.
    7·1 answer
  • Evaluate the expression when x = -3<br> -5x -15<br> Show your work
    11·1 answer
  • Jackson’s rectangular bedroom has an area of 90 square feet. The area of his bedroom is 9 times that of his rectangular closet.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!