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Jet001 [13]
3 years ago
10

Let |x| + |y| = c where, c is s real number. Determine the number of points that would be on the graph of the equation for each

given cases:
Case 1: c < 0
Case 2: c = 0
Case 3: c > 0

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0

Answer:

  1. 0
  2. 1
  3. an infinite number

Step-by-step explanation:

<u>Case 1</u>

The absolute value of a number will not be negative, so the function is the sum of two non-negative numbers. That sum cannot be negative, so there will be no points on the graph.

<u>Case 2</u>

The sum of two non-negative numbers can be zero if they both are zero. This graph will have exactly one point: (x, y) = (0, 0). (In the attached, it doesn't show up.)

<u>Case 3</u>

There are an infinite number of ways two non-negative numbers can sum to a positive number. There will be an infinite number of points on the graph. The line segments in the attached graph illustrate that for c = 1.

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What is the correct distribution of (2x-8)(3x-6) using the distributive property
Margaret [11]

Answer:

  6x² -36x +48

Step-by-step explanation:

The terms in one factor are each multiplied by the terms in the other factor. The resulting partial products are then combined. (This works the same as for numerical "long" multiplication.)

  (2x -8)(3x -6) = 2x(3x -6) -8(3x -6)

  = 6x² -12x -24x +48 . . . . . . . form partial products

  = 6x² -36x +48 . . . . . . . collect terms

8 0
2 years ago
Read 2 more answers
A biased dice is thrown.
nexus9112 [7]

Given:

A biased dice is thrown 300 times.

Table of probabilities of each score.

To find:

The expected number of times the score will be odd.

Solution:

Odd numbers on the dice are 1, 3, 5. The sum of their probability is

0.15+0.25+0.3=0.7

Even numbers on the dice are 2, 4, 6. The sum of their probability is

0.05+0.05+0.2=0.3

Now, the expected number of times the score will be odd is

\text{Expected odd number}=300\times \text{Probability of getting an odd number}

\text{Expected odd number}=300\times 0.7

\text{Expected odd number}=210

Therefore, the expected number of times the score will be odd is 210.

8 0
2 years ago
A rectangular garden must have a perimeter of 160 feet and an area of at least 1300 square feet. Describe the possible lengths o
Morgarella [4.7K]

Answer: The lengths of the garden are 57.32 feet and 22.68 feet (approximately)

Step-by-step explanation: The area has been given as 1300 which means,

Area = L x W

1300 = L x W ———(1)

Also the perimeter has been given as 160, hence we also have

Perimeter = 2(L + W)

160 = 2(L + W)

80 = L + W ———(2)

From equation (2), make L the subject of the equation

L = 80 - W

Substitute for the value of L into equation (1)

1300 = L x W

1300 = (80 - W) x W

1300 = 80W - W^2

Rearranging the equation we now have;

W^2 - 80W + 1300 = 0

Since we cannot factorize we shall apply the quadratic equation formula to solve for W. Please refer to the attachment for details of this.

Having calculated the value of W to be either 57.32 or 22.68, we can now find the value of L as follows;

Substitute for the value of W into equation (1)

1300 = L x W

1300 = L x 57.32

Divide both sides of the equation by 57.32

22.68 = L.

(Note that if we take the other value of W which is 22.68, the value of L shall be 57.32)

Since the area of the rectangular garden must be AT LEAST 1300 square feet we shall use the exact values for;

Length = 57.32 feet

Width = 22.68 feet

3 0
3 years ago
Read 2 more answers
Find the average of the following numbers −30 and 25
alina1380 [7]

Answer: -2.5

Step-by-step explanation:

The average can be found by adding up the numbers then dividing by how many numbers there are in this case there are two numbers.

-30+25=-5

-5/2 = -2.5

7 0
3 years ago
A TV that usually sells for $186.67 is on sale for 20% off. If sales tax on the TV is 8%, what is the price of the TV, including
Furkat [3]

Answer:

$161.28288  or $161.28 if rounded

Step-by-step explanation:

first find 10% of the original cost

186.67/10 =18.667

18.667 x 2 = 37.334 (20%)

186.67 - 37.334 = 149.336

to find the tax, mulitple 149.336 x 1.08

1.08 because, 100% of the cost, plus 8% of the cost for tax

= 161.28288

5 0
3 years ago
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