MATHEMATICS HIGH SCHOOL

What is the range of the function f(x) = -2x + 5 when the domain is {-5, 5}.

Answers

Answer 1
Answer:

Answer:

{-5,15}

Step-by-step explanation:

because this function is constantly decreasing, we can get our range by looking at the endpoints:

f(-5) = 15

f(5) = -5

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A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The expression below represents the area of the floor of the room in square meters: (x − 4)(3x − 1) Which of the following simplified expressions represents the area of the floor of the conference room in square meters?

Answers

You have to foil. Times the first two: x(3x). Then times the outer two: x(-1). Then times the inner two: -4(3x). Finally, times the last two: -4(-1). Your equation would be 3x squared - 1x - 12x + 4. Therefore, the simplified answer is 3x^2 (3x to the second power) - 13x + 4.

Answer:

Simplified expressions which represents the area of the floor of the conference room in square meters is:

3x²-13x+4

Step-by-step explanation:

A conference room is in the shape of a rectangle.

Its floor has a length of (x − 4) meters and a width of (3x − 1) meters.

we know that Area of rectangle=Length×Breath

Area of floor of the room=(x-4)(3x-1)

(x-4)(3x-1)=x(3x-1)-4(3x-1) (Distributive property)

               = 3x²-x-12x+4   (Distributive property)

              = 3x²-13x+4   (On combining the like terms)

Hence, simplified expressions which represents the area of the floor of the conference room in square meters is:

3x²-13x+4

PLZ HELP ASAP WILL MARK BRAINIEST
(x−5)/2 + (x−1)/8 = (x−3)/4 + (x−4)/3
solve for x!!

Answers

Answer:

x= 13

Step-by-step explanation:

what 2 numbers should be placed in the blanks below so that the difference between consecutive numbers is the same?      17,_,_,41 

Answers

The answer is 25, 33. The difference between each consecutive number is 8.

Does 2/3x+3/4=8 and 8x=87 have the same solution ?

Answers

(2/3)x + (3/4) = 8
           -(3/4)   -(3/4)

(2/3)x = 7.25(3/2)
(3/2)

x = 10.875

8x = 87 Divide both sides by 8

x = 10.875

So yes both sides have the same solution 

Hope this helps :)
yes it does as far as i can see

Alvin is 5 years younger than elsa. the sum of their ages is 93. what is elsas age

Answers

Answer:

49

Step-by-step explanation:

Given:

Alvin is 5 years younger than Elsa, and the sum of their ages is 93.

  • Let x represent Elsa's age, so Alvin's age would be x - 5 because he is 5 years younger.

x + x - 5 = 93

  • Add like terms.

2x - 5 = 93

  • Add 5 to both sides.

2x = 98

  • Divide both sides by 2.

x = 49

A cylinder has a radius of 8 cm and a height of 14 cm.What is the volume of the cylinder?

A. 112 straight pi cm3

B. 224 straight pi cm3

C. 896 straight pi cm3

D. 3584 straight pi cm3

Answers

V = πr²h
V = 3.14(8)²(14)
V = 3.14(64)(14)
V = 3.14(896)
V = 2813.44 cm³

The answer is C.
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