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Radda [10]
4 years ago
12

Consider functions f and g below.

Mathematics
2 answers:
Colt1911 [192]4 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]4 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

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Answer:

10 units

Step-by-step explanation:

Represent the length of the shortest side of the triangle by x.  Then the sum of the lengths of the other two sides is 2(x + 1), and the perimeter of the triangle is thus x + 2(x + 1), or 3x + 2.

Represent the side length of the square by x - 2.  Then the perimeter of the square is 2(x - 2) + 2(x - 2) = 4(x - 2) = 4x - 8, and this perimeter matches that of the triangle:

4x - 8 = 3x + 2, or

x = 10

The length of the shortest side of the triangle is 10 units.

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Step-by-step explanation:

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4 years ago
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What is the surface area of the triangular prism shown?
vladimir2022 [97]

The surface area will be equal to option B which is 1008 square centimeters.

<h3>What is surface area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The surface area of the prism will be calculated as:-

SA = area of the three rectangular faces + area of the triangular faces

Area of the rectangular faces = ( 15 X 25 ) + ( 25 X 12 ) + ( 25 X 9 )

                                                 = 375 + 300 + 225

                                                 = 900 square cm

Area of the triangular  =\sqrt{(s(s-a)(s-b)(s-c)

                                     = \sqrt{(18(18-15)(18-12)(18-9)}

                                     = √2916

                                     = 64

Total area of the rectangular face = 2 x 54 = 108

So the total SA area of the prism will be = 900 + 108= 1008 square cm.

Therefore surface area will be equal to option B which is 1008 square centimeters.

To know more about a surface area follow

brainly.com/question/25292087

#SPJ1

7 0
2 years ago
Ada bought 90 feet of for ​$20.70. She needs 30 more feet. If the unit price is the​ same, how much will she pay for the extra 3
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Answer:

Step-by-step explanation:

20.70/90= 0.23 per foot

30*.23= 6.90

It'll cost $6.90 for 30 more feet.

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3 years ago
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