MATHEMATICS HIGH SCHOOL

Which graph represents the function on the interval [-3,3]
F(x)=[x]-2
Which graph represents the function on the interval [-3,3] F(x)=[x]-2 - 1

Answers

Answer 1
Answer:

Answer:

Shown below

Step-by-step explanation:

The most famous of the step functions is the greatest integer function, which is denoted by the parent function [x].

So, this function is defined as:

f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x.

These are the characteristics of this function:

  • The domain of the function is the set of all real numbers.
  • The range of the function is the set of all integers.
  • The graph has a y-intercept at (0,0) and x-intercept in the interval [0,1)
  • The graph is constant between each pair of consecutive integers.
  • The graph jumps vertically one unit at each integer value.

The function F(x)=[x]-2 represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.

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Amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five over six becomes unsolvable. Amanda explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." How will you show Amanda that the equation is still solvable and explain your reasoning?

Answers

For this case we have the following equation:
 (3)/(x) + (1)/(3) = (5)/(6)
 We multiply both sides of the equation by 3x:
 9 + x = (5)/(2)x
 We multiply both sides of the equation by 2:
 18+2x=5x
 From here, we clear the value of x:
 5x-2x=18 3x=18
 x = (18)/(3)
 x=6
 Answer:
 You can not divide by zero, but you can rewrite the expression to clear x.
 The value of x is given by:
 x=6
(3 / x) + (1/3) = (5 / 6)
Taking the LCM on the left side
(9 + x)/(3x) = (5/6)
54 + 6x = 15x
From this step, it is visible that x is no longer in th denominator and even if it is 0, the equation is solvable.
9x = 54
x = 6

David is 38 years old and his son Frank is 8. In how many years will David be twice as old as Frank?Write then Solve the equation

Answers

22 years.
38+22=60
8+22=30
60 divided by 2 = 30

Find the value of x

Answers

Answer:

Ok i will answer you and help you but give me 20 mins to solve

Step-by-step explanation:

How do you Solve 5(x+1)=3x+12?

Answers

 Expand
5x+5=3x+12
Subtract 5 from both sides
5x=3x+12−5
Simplify 3x+12−5 to 3x+7
5x=3x+7
Subtract 3x from both sides
5x−3x=7
Simplify 5x−3x to 2x
2x=7
Divide both sides by 2
x=7/2
 Expand
5x+5=3x+12x=7/2

a gym is offering a deal to new members. customers can sign up by paying a registration fee or 200 dollars and a monthly fee of 40 dollars how much will this member ship cost at the end of the year

Answers

Answer: 680

Step-by-step explanation:

40 per 12 months= 480$

+200 registration

480 + 200= 680$ total for a year

Jeremy drove from Portland to Miami. He determines that the expression 450x + 150 represents the distance in miles he traveled, where x is the number of days after the first day. Which statement describes correctly what the coefficient of x represents?

Answers

Answer:

The coefficient of x represents the number of miles driven each day.

Step-by-step explanation:

The coefficient of x is being multiplied by x, or the number of days. If the expression models the total distance travelled, then Jeremy drove 450 miles each day.
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