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4 years ago

The graph of the piecewise function is shown.

Mathematics

2 answers:

aivan3 [116]4 years ago

7 0

Answer:

Range of f(x) is:

B) { f(x)| –∞ < f(x) ≤ 4}

Step-by-step explanation:

The range of a function is the set of all those values which that function takes. i.e. The range is the resulting y-values or f(x)-values we get after substituting all the possible values of x.

Here, we can see that f(x) takes all the values between -∞ and 4

Hence, range of f(x) is:

B) { f(x)| –∞ < f(x) ≤ 4}

motikmotik4 years ago

6 0

Range, from -inf to 4

4 >= f(x) > - inf B

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In a certain school, course grades range from 0 to 100. Adrianna took 4 courses and her average course grade was 90. Roberto too

Alexandra [31]

72, because 360/4 courses = 90 as an average for Adrianna. This means that 360/5 courses equals 72 for roberto.

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4 years ago

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oksano4ka [1.4K]

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3 years ago

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On a trip to Griffith Observatory, Dave rode his bicycle six more than twice as many miles in the afternoon as in the morning. I

podryga [215]

Answer:

Dave rode his bicycle 17 miles in the morning

Dave rode his bicycle 40 miles in the afternoon

Step-by-step explanation:

* Lets study the information to solve the question

- Dave rod his bicycle in the morning and again in the afternoon

- Six more than twice as many miles in the afternoon as in the morning

means the distance in the afternoon is 6 more than twice the distance

in the morning

- The entire trip was 57 miles means the total distance in the morning

and in the afternoon was 75

* To solve the question let the distance in the morning is x miles

∵ The distance in the morning = x miles

∵ The distance in the afternoon is 6 more than twice the distance

in the morning

∴ The distance in the afternoon = 2x + 6 miles

∵ The distance in entire trip = 57 miles

- The distance in the morning and the distance in the afternoon = 57 miles

∴ x + (2x + 6) = 57 ⇒ simplify

∴ 3x + 6 = 57 ⇒ subtract 6 from both sides

∴ 3x = 51 ⇒ divide both sides by 3

∴ x = 17 miles

∵ The distance in the morning is x miles

∴ Dave rode his bicycle 17 miles in the morning

∵ The distance in the afternoon = 2x + 6 miles

- Substitute the value of x

∴ The distance in the afternoon = 2(17) + 6 = 34 + 6 = 40 miles

∴ Dave rode his bicycle 40 miles in the afternoon

4 0

3 years ago

The area of a rectangle is the rectangle’s length times its width. Write a program that asks for the length and width of two rec

Mnenie [13.5K]

Answer:

Using c++

Check the image for colors.

Step-by-step explanation:

#include <iostream>

using namespace std;

int main()

{

float length1,length2,width1,width2,area1,area2;

cout<<"length of Rectangle 1\n";

cin>>length1;

cout<<"\nwidth of Rectangle 1\n";

cin>>width1;

cout<<"\nlenght of Rectangle 2\n";

cin>>length2;

cout<<"\nwidth of Rectangle 2\n";

cin>>width2;

area1=length1*width1;

area2=length2*width2;

if (area1<area2)

{cout << "\nRectangle 2 has greater area";}

else {

if (area1>area2)

{cout << "\nRectangle 1 has greater area";}

else {cout << "\nAreas are the same";}

}

return 0;

}

7 0

3 years ago

four students spent 12 on school lunch.at this rate find the amount 10 students would spend on the same school lunch

zloy xaker [14]

Step 1: Set up the proportion

4/12 = 10/x

Step 2: Cross multiply to get

120 = 4x

Step 3: Divide all by 4 to get

30 = x

Answer: So in total, 10 students would spend $30 on lunch!

4 0

3 years ago