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harina [27]
3 years ago
13

A step function h(x) is represented by y = -2[x]. Which phrase best describes the range of the function h(x)

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

The range of the step function is all negative integers, thus, the correct option is A.

<h3>What are domain and range of a function ?</h3>

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

For the given function h(x)=-2|x|, any value of x will return a negative value, therefore, the range of the function is all negative numbers. This can be observed in the graph given below.

Hence, the range of the step function is all negative integers, thus, the correct option is A.

Learn more about Domain and Range:

brainly.com/question/20073127

#SPJ1

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Nikki and her four friends had lunch at their favorite restaurant. The total bill was $29.00, and they wanted to leave a 15% tip
Butoxors [25]

Answer:

$4.35

Step-by-step explanation:

Knowns:

Total bill: $29.00

Tip of 15% ($29.00)

Work:

$29.00 (0.15) = $4.35 tip

Hope this helps!

7 0
3 years ago
Solve:<br> 4x + 3y = 8<br> 2 - 2y = 13
jenyasd209 [6]

Answer:

x = 49/8, y = -11/2

Step-by-step explanation:

look at the attached picture.

3 0
3 years ago
PLEASE HELP ME PLEASE PLEASE
mezya [45]
1)

Break up the irregular shape into two rectangles

12 * 4.5 = 54
2 * 5 = 10
54 + 10 = 64 cm^2

2)

Break up the irregular shape into a triangle and rectangle

24 * 8 = 192

To get the base of the triangle:
24 - 6 - 6 = 12
To get the height of the triangle:
16 - 8 = 8

1/2(12 * 8) = 48

192 + 48 = 240 yd^2

3)

Separate into triangle and semi circle

To get the base: 8 * 2 = 16

1/2(15 * 16) = 120

(pi (8)^2)/2 = 100.5

120 + 100.5 = 220.5 cm^2

4)

Separate half circle from rectangle

(pi (7.5)^2)/2 = 88.4

7 * 15 = 105

88.4 + 105 = 193.4 m^2

5)

Separate triangle from trapezoid

2.8 * 7 = 19.6

(7+9/2)(3.6) = 28.8

19.6 + 28.8 = 48.4 ft^2

6)

Separate semi circle from trapezoid

(pi(3)^2)/2 = 6.3

(6+10/2)(8) = 64

6.3 + 64 = 70.3 yd^2

8 0
3 years ago
Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
Hoochie [10]

Answer:

The system of equations has one solution. The two equations are intersecting lines.

Step-by-step explanation:

if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.

2(12x+2)=x+4

next, you have to distribute

24x+4=x+4

subtract 24x from each side

4=-23x+4

subtract 4 from each side

0=23x

divide each side by 23

x=0

now, plug in 0 to one equation.

y=12(0)+2

y=2

the lines intersect at one point, (0,2)

7 0
3 years ago
Assuming that workers' salaries in your company are uniformly distributed between $15,000 and $40,000 per year, find the probabi
lord [1]

Answer:

The  probability is  P(\$20,000 <  X < \$35,000) =  0.6

Step-by-step explanation:

From the question we are told that

     Workers' salaries in your company are uniformly distributed between $15,000 and $40,000 per year

  Generally the probability that a randomly chosen worker earns an annual salary between $20,000 and $35,000 is mathematically represented as

        P(\$20,000 <  X  \$35,000) =  \frac{ 35000 -  20000}{ 40000 - 150000}

  => P(\$20,000 <  X < \$35,000) =  0.6

     

3 0
4 years ago
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