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
Radda [10]
3 years ago
12

Consider functions f and g below.

Mathematics
2 answers:
Colt1911 [192]3 years ago
4 0

Answer:

Option D. -12x² - 3x + 27

Step-by-step explanation:

The given functions are f(x) = -9x² - 7x + 12 and g(x) = 3x² - 4x - 15

We have to find the value of f(x) - g(x)

f(x) - g(x) = (-9x² - 7x + 12) - (3x² - 4x - 15)

              = -9x² - 7x + 12 - 3x² + 4x + 15

              = (-9x² - 3x²) - (7x - 4x) + 12 + 15

              = -12x² - 3x + 27

This value of f(x) - g(x) matches with option D.

Therefore, Option D. is the correct option.

Pani-rosa [81]3 years ago
3 0

Answer:

D

Step-by-step explanation:

f(x) - g(x) = -9x^2 - 7x + 12 - (3x^2 - 4x - 15)  Remove the brackets

f(x) - g(x) = -9x^2 - 7x  + 12 - 3x^2 + 4x + 15

f(x) - g(x) = -9x^2 - 3x^2 - 7x + 4x + 12 + 15

f(x) - g(x) = -12x^2- 3x + 27

Answer D

You might be interested in
Anyone know? the problem is #16
RoseWind [281]
Because they both have two angles tbat are the same size
3 0
3 years ago
pls help me how do they get 9 7/5 = 10 2/5 ( its in the example number 1) plss help me i don't know :⊂
vodomira [7]

Answer:

  • INSTRUCTION FOLLOWED: <u>write the sum as a mixed number where the fractional number is less than one.</u>

5/5 out of the 7/5 make <u>ONE whole</u> while 2/5 is left over.

The <u>ONE whole</u> is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5

Step-by-step explanation:

  • INSTRUCTION FOLLOWED: <u>write the sum as a mixed number where the fractional number is less than one.</u>

5/5 out of the 7/5 make <u>ONE whole</u> while 2/5 is left over.

The <u>ONE whole</u> is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5

6 0
3 years ago
Find the slope of the line passing through the points (0,12) and (4,3)
anzhelika [568]

The slope is the change in Y over the change in X:

Slope = (3 -12) / (4-0)

Slope = -9/4

The answer is the 3rd choice.

7 0
3 years ago
A rectangular tank with a square​ base, an open​ top, and a volume of 8 comma 7888,788 ft cubedft3 is to be constructed of sheet
Vlad [161]

Answer:

  26 ft square by 13 ft high

Step-by-step explanation:

The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...

  2·(8788 ft^3) = (26 ft)^3

The square bottom of the tank is 26 ft square, and its height is 13 ft.

_____

<em>Solution using derivatives</em>

If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...

  x^2 + 4x(8788/x^2) = x^2 +35152/x

The derivative of this is zero when area is minimized:

  2x -35152/x^2 = 0

  x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576

  x = 26

_____

As the attached graph shows, a graphing calculator can also provide the solution.

5 0
3 years ago
Jill has two hamsters Each hamster drinks 3 ounces of water each day.
sveta [45]

Answer:

4 oz

Step-by-step explanation:

2 hamsters 3 ounces each per day

6 ounces per day  is drank

Monday 6 oz Tuesday 6 oz

16-12=4

8 0
3 years ago
Other questions:
  • What is 1/8 of 3?<br> What is 3 groups of 1/8?<br> How many 3's are in 1/8?
    7·1 answer
  • Can anyone factor 8x^2 + 10x -25? Please Help!
    13·2 answers
  • How do you write 23.5 in expanded form
    6·1 answer
  • Translate the phrase into an algebraic expression <br> The sum of y and 3
    10·1 answer
  • Grayson is designing a rectangular athletic field. On a scale drawing the vertex of the rectangle are (4, 5), (9, 10) ,and (9, 5
    14·2 answers
  • QUESTIONS 1,2,3 PLSSSS (PICTURE ATTACHED) :)
    12·2 answers
  • Grace's retirement party costs $2plus an additional $1 for each guest she invites. What is the maximum numbe of guests there can
    15·2 answers
  • Find the midpoint of the segment with the following endpoints.<br> (-3,5) and (0, -1)
    9·1 answer
  • Pls help on my maths
    13·2 answers
  • The distance around a circle is equal to the Diameter Times pi
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!