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Sergeu [11.5K]
4 years ago
11

Does this graph represent a function? Why or why not?

Mathematics
1 answer:
34kurt4 years ago
6 0
Yes because it passes the vertical line test.
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Half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories 1/4 of a pepperoni pizza plus a who
yulyashka [42]

Answer:

Correct choice is D (In a whole pepperoni pizza are 660 calories, in  in a whole ham and pineapple pizza are 580 calories).

Step-by-step explanation:

Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.

1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then

\dfrac{1}{2}x+\dfrac{3}{4}y=765.

2. If 1/4 of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories. then

\dfrac{1}{4}x+y=745.

3. Multiply each equation by 4 and get a system of two equations:

\left\{\begin{array}{l}2x+3y=3060\\x+4y=2980\end{array}\right.

From the second equation x=2980-4y, then

2(2980-4y)+3y=3060,\\ \\5960-8y+3y=3060,\\ \\-8y+3y=3060-5960,\\ \\-5y=-2900,\\ \\y=580.

Then

x=2980-4\cdot 580=2980-2320=660.

6 0
3 years ago
You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introdu
mariarad [96]

Answer:

  • Calculus texts: 600
  • History texts: 0
  • Marketing texts: 0

Step-by-step explanation:

Each Calculus text returns $10/2 = $5 per unit of shelf space. For History and Marketing texts, the respective numbers are $4/1 = $4 per unit, and $8/4 = $2 per unit. Using 1200 units of shelf space for 600 Calculus texts returns ...

  $5/unit × 1200 units = $6000 . . . profit

Any other use of units of shelf space will reduce profit.

7 0
3 years ago
Give two rational numbers whose product equals (-1)
motikmotik
Product is times so try that as it’s the product of a number
6 0
3 years ago
a train leaves little rock, arkansas and travels north at 70 kilometers per hour. another train leaves at the same time and trav
jekas [21]
45 hours.
80 - 70= 10, and 450/10 is 45.
to justify, you can do 70x45= 3,150, and 80x45= (3,600 - 3,150= 450)
8 0
4 years ago
There are 48 students in a speech contest. Yesterday, 2/3 of them gave their speeches. Today, 3/4 of the remaining students gave
Dmitry [639]

Answer:

24 :))))))))))))))

Step-by-step explanation:

2/3 of 48 is 32, so 3/4 of 32 is 24.

8 0
3 years ago
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