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sweet [91]
3 years ago
14

G = {(5,3), (2, 3), (6,4)} Is G^-1 a function and why?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0

Answer:

The inverse relation G^(-1) is not a function. Why not? Because the y value y = 3 is paired up with more than one x value (x = 5, x = 2). The inverse relation G^(-1) is the set shown below

{(3,5), (3,2), (4,6)}

All I've done is swap the (x,y) values for each ordered pair to form the inverse relation. As you can see, x = 3 leads to multiple y value outputs which is why this relation is not a function. So in short, the answer is choice C. To have the inverse relation be a function, each value in the original domain must map to exactly one value in the range only. However that doesn't happen as the domain values map to an overlapping y value (y = 3).

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abruzzese [7]
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3 0
2 years ago
A circular pond 24 yd in
Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd

Now, area of the pond is given as:

A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2

Area of the complete path including the pond area is given as:

A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=5%20-%205%20%5Ctimes%202%20%2B%2011" id="TexFormula1" title="5 - 5 \times 2 + 11" alt="5 - 5 \
Rasek [7]

Answer:

6

Step-by-step explanation:

We use BODMAS/BIDMAS here.

First, we do 5 × 2, as multiplication comes before subtracting and adding.

5 × 2 = 10

Now we can just add and subtract.

5 - 10 = -5

-5 + 11 = 6

3 0
3 years ago
Can someone help me with this I’m really bad in geometry
Crank

I redrew the triangle (just turned it around it make it easier to understand).

7 0
3 years ago
Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles
Allushta [10]

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

  • a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
  • b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

  • <u>x + y ≤ 900</u>

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

  • <u>First combination; (600, 300)</u>

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

  • <u>Second combination; (300, 600)</u>

Learn more about inequalities here:

brainly.com/question/22976364

6 0
2 years ago
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